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\ STUDIA IN /<br />

THE LIBRARY<br />

of<br />

VICTORIA UNIVERSITY<br />

Toronto<br />

IS,


AUTOLYCI<br />

DE SPHAERA QUAE MOVETUR<br />

LIBER<br />

DE ORTIBUS ET OCCASIBUS<br />

LIBRI DUO<br />

UNA CUM SCHOLIIS ANTIQUIS<br />

E LIBRIS MANU SCRIPTIS EDIDIT<br />

LATINA INTERPRETATIONS ET COMMENTARIIS<br />

INSTRUXIT<br />

FRIDERICUS HULTSCH.<br />

LIPSIAE<br />

IN AEDIBUS B. G. TEUBNERI.<br />

MDCCCLXXXV.


LIPSIAE: TYI>IS B. G. TEUBNEBI.


MAURITIO CANTORI<br />

EDUARDO HILLERO<br />

s.


PRAEFATIO.<br />

Autolycum Pitanaeum ex Aeolide, mathematicum, Ar-<br />

cesilai adulescentis , qui cum eo Sardes migraverit, prae-<br />

ceptorem fuisse Diogenes Laertius tradit libro IV (6, 28 sq.).<br />

Floruit igitur Autolycus ea fere aetate, qua Alexander<br />

Magnus regnum obtinuit, et aequalis<br />

ac,<br />

fuit Aristoteli seni<br />

nisi forte extremis suae vitae annis Arcesilaum in-<br />

stituit, usque ad exitum quarti vel ad initia tertii ante<br />

1<br />

Chr. n. saeculi aetatem produxit Nam ).<br />

Arcesilaum,<br />

1) Th. Henricus Martin in censura qnam egit de Autolyci<br />

propositionibus ab Hochio editis, Revue critique d'histoire et de<br />

litterature, onzieme annee, premier semestre, nouvelle serie, tome<br />

Illy Parisiis 1877, p. 409 sq. haec de Autolyci aetate scribit:<br />

Suivant Diogene de Laerte, Autolycus, mathematicien grec, de<br />

Pitane en Asie mineure sur la cote d'Eolide, eut pour disciple<br />

le philosophe Arcesilaiis de Pitane, qui ensuite entra dans I'ecole<br />

de Theophraste, ouverte a AtTienes vers 322 avant J.-C. lors de<br />

la retraite d'Aristote, et qui en sortit tout jeune encore, VSUVLaxog<br />

(ib. IV, 30); et pourtant Arcesilaiis etait dans la force de<br />

I' age, waf, vers 298 (ib. IV, 45). C' etait done probablement<br />

des 322 environ qu'il avait quitte Autolycus pour Theophraste.<br />

Par consequent, Autolycus enseignait vers 322. II etait done<br />

ante'rieur au ce'lebre geometre Euclide, qui . . . florissait sous Ptole'me'e<br />

Soter, mort en 2S3. C'est done a tort que Mohammed<br />

ben Ishak (cite par Wenrich De auctorum graecorum versionibus<br />

. . . syriacis, arabicis etc., p. 209, Leipzig, 1842, in -8) attribue<br />

seul a Autolycus un commentaire sur les Elements d'Euclide.<br />

Conf. etiam eundem in Memoires de I'Institut national<br />

de France, Academie des inscriptions et belles-lettres, tome XXX,<br />

premiere partie, 1881, p. 271 sq., Rud. Wolf, Geschichte dcr<br />

Astronomic, Monaci 1877, p. 113 115, Maur. Cantor, Vorlesungen<br />

uber Geschichte der Mathematik, vol. I, Lipsiae 1880,<br />

p. 380. 311.


VI PRAEFATIO.<br />

postquam Autoljcum Pitanae et Sardibus audivit, Athenas<br />

se contulisse ibique primum Xanthi musici, turn Theo-<br />

phrasti, qui Aristoteli successit, scholas adiisse, denique<br />

in Academiam ad Crantorem transiisse idem scribit Dio-<br />

genes.<br />

Antiquissimus igitur Autolycus est eorum virorum<br />

inathematicorum, quorum scripta ad nostram aetatem per-<br />

venerunt; proximi autem ab Autolyco sunt Euclides et<br />

Archimedes.<br />

Autolyci theoremata duodecim percenset Pappus Ale-<br />

xandrinus libro VI 2<br />

), atque hoc quidem loco,<br />

ut in re<br />

omnibus qui ea legant satis nota, titulum libri, quo ilia<br />

theoremata contineantur, commemorare supersedet, et rur-<br />

sus alio loco (pag. 612,15) librum ns^l %ivov(jievrig Gcpat-<br />

$ag citat non addito auctoris nomine. Sed et Autolyci<br />

esse hunc de sphaera quae movetur librum et ilia ipsa<br />

quae Pappus percensuit duodeeim theoremata eo libro<br />

tractata esse codicum manu scriptorum qui hodieque ex-<br />

stant testimonio satis constat.<br />

loannes Philoponus in Aristotelis physicae ausculta-<br />

tionis librum II 3<br />

), postquam Theodosii sphaericorum rationem<br />

breviter exposuit, qui %G)QlGag naG^g ovGlccg to<br />

GcpatQwov Gyr^ia ovrco rcc Gv^aivovxa CCVTW<br />

1<br />

OTL lav GcpaiQct emTteSip tfi^O ^ KvxKov Tcoisi,<br />

nal oGa<br />

Autolycus, inquit, neQL nivovpivrig Gcpalgag, ygatyctg xal<br />

OGct Gv^alvei rrj Kivovpivri GtpaiQa^ (iSQLKcoreQog SGU rov<br />

sodoGlov xa.1<br />

2) Pappi Alexandiini collectionis quae supersunt e libris<br />

manu scriptis edidit Latina interpretatione et commentariis<br />

instruxit Frid. Hultsch, Berolini 18761878, vol. II p. 518, 15<br />

524, 24.<br />

3) Scholia in Aristotelem collegit Christ. Aug. Brandis, ed.<br />

Acadeinia regia Borussica, Berolini 1836, p. 348b (in Aristot.<br />

cpvc. cinq. $' p. 193 b , 25).


PRAEFATIO. VII<br />

Librum Ttsgl KLvov^iv^g Gfpaigag^ Autolyci scilicet,<br />

laudat etiam scholiasta ad Pappi collectionem (p. 1180,21).<br />

Libros duo Ttsgl eitirokcov nai dvGscov et hi codices manu<br />

scripti, de quibus statim dicturi sumus, et ceteri, quot-<br />

quot innotuerunt, Autolyco tribuunt. Libri primi ^Ttsgl<br />

tTtiwlav nal SVGECOV' tlieoremata duo citantur in scholiis<br />

nostris p. 132.<br />

Longiore disputatione Simplicius ad Aristotelis de<br />

caelo librum II 4<br />

) demonstrat varias sphaeras caelestes<br />

quibus planetae ferantur,<br />

ea ratione descriptas esse quae


VHI PRAEFATIO.<br />

^AQtGto&rjQOv diccq)OQcc.<br />

l


PRAEFATIO. IX<br />

suis notis geometricis ducebantur. Itaque cum sic verae<br />

circulorum, qui sunt in sphaera, descriptiones quasi ex<br />

ipsa rerum natura repetitae in conspectum discipulorum<br />

prodirent, minores relinquebantur earum figurarum diffi-<br />

cultates, quae praeterea ad verba scriptoris<br />

in charta de-<br />

pingendae erant. Has enim quodammodo in planum ex-<br />

plicatas exhibuit Autolyeus, nihil in eo opere<br />

curans nisi<br />

hoc, ut linearum ac notarum ordines ac mutuae inter se<br />

complexiones perspicerentur. Tales igitur figurae nonnullae<br />

in codicibus ad hanc usque aetatem propagatae<br />

sunt, quarum de ratione nos ad libri de sphaera propositiones<br />

2 (pag. 8), 5, 6, 8, 9, ad libri de ortibus et occa-<br />

sibus primi propositionem 10, secundi propos. 4 (pag. 114),<br />

quaedam adnotavimus.<br />

Autolyci libros inter antiquissimos praestantissimosque<br />

refert losephus Auria 7<br />

), eosque e tenebris, in quibus tot<br />

annos, nescio quo fato, misere iacuerint, a se vindicates<br />

esse non iniuria gloriatur. Sed tamen, postquam Auria<br />

eos libros in Latinum sermonem converses edidit, rursus<br />

tria fere saecula intermissa sunt, quibus ipsae Autolyci<br />

demonstrationes , Graeco scilicet sermone conscriptae, us-<br />

que in tenebris latuerunt. Quocirca cum nuper Autolyci<br />

libri, ut Pappi librum VI recte edere possem, Romae a<br />

me describebantur e codice Vaticano Graeco CXCI 8<br />

), simul<br />

in publicum usum illos mathematicae doctrinae in-<br />

signes thesauros convertere instituebam. Sed cum Pappi<br />

collectionem absolvissem, veterum mensurarum ac ponderum<br />

rationes secundis curis exigendae erant aliaque quaedam<br />

opuscula pertractanda. Itaque non prius quam illud<br />

7) Autolyci de vario ortu cet. (plenum titulum infra exhibebiinus),<br />

in praefatione quae inscripta est INTERPRES LEC-<br />

TORI S.<br />

8) Conf. praefationem in Pappi volumen II p. VII sq.


X PRAEFATIO.<br />

Horatianum nonumque prematur in annum verbo terms,<br />

ut aiunt, evenit, Autolyci libri de sphaera et de ortibus<br />

occasibusque,<br />

anno huius saeculi LXXVI Romae excuti<br />

coepti, anno autem LXXXIII Parisiis ex bibliothecae publicae<br />

copiis emendati ac scholiis instruct!, nunc demum<br />

in lucem prodeunt.<br />

Quoniam a nonnullis viris doctis, quos infra laudabi-<br />

mus, solae propositiones Autolyci editae sunt, dubitatio<br />

quaedam exorta est, num demonstrationes etiam, id quod<br />

summum est in omni opere mathematico, adiecerit Auto-<br />

lycus, aut, si quae adiectae fuerint, utmm ab hoc ipso,<br />

an forte ab alio recentiore scriptore compositae sint. Quin<br />

etiam scholia dicere coeperunt pro demonstrationibus 9<br />

),<br />

quamvis diversa illorum ratio ab his esse soleat. Quibus<br />

de opinionibus non opus est plura dicere: omnium, quorum<br />

ea perquirere interest, usui iam patent Autolyci et<br />

propositiones et illae quas ipse<br />

addidit demonstrationes<br />

accuratissimae et copiosissimae ; denique etiam scholia an-<br />

tiqua plus ducenta exstant, ac plurima quidem ex Graecis<br />

codicibus in lucem a nobis prolata, pauca autem in Grae-<br />

cis nondum reperta, sed tamen ab Auria Latino expressa<br />

sermone.<br />

Atque ipsius quidem Autolyci demonstrationes hoc<br />

quod edimus volumine contineri nostro iure contendere<br />

9) Kicardus Hoche in praefatione ad Autolyci propositiones<br />

codice Hamburgensi Autolycum cum scholiis adiectis, tum<br />

codice Monacensi eiusdem nsgl ^ivov^vri? GcpctiQuq libellum<br />

cum iisdem quae in cod. H. leguntur scholiis contineri scribit.<br />

Similiter Martinus 1. c. p. 411 laudat Auriae interpretationem,<br />

ces manuscrits<br />

comprenant en latin les scholies grecques que<br />

fournissent, et paulo post secundum Hochium les deux opuscules<br />

d'Autolycus avec les scholies grecques commemorat. Idem tamen<br />

p. 413 iure suspicatur in illis quae Hochius dixit scholiis demonstrationes,<br />

quibus ipse Autolycus propositiones suas confirmaverit,<br />

latitare.


PRAEFATIO. XI<br />

videmur. Scilicet nemini eorum, qui adhuc scriptorum<br />

mathematicorum propositiones cum suis demonstrationibus<br />

uno tenore compositas et sic in libris manu scriptis con-<br />

servatas publici iuris fecerunt, hoc insuper munus impo-<br />

situm est, ut demonstrationes, id est totius operis partem<br />

et copiosiorem et graviorem, ab eodem auctore, quern<br />

propositiones scripsisse inter omnes constaret, profectas esse<br />

convinceret. Quid, quod ipsum dicendi genus germanam<br />

antiquitatis speciem atque incorruptam prae se fert? Si<br />

quibus theorematis singulae demonstrationis partes sub-<br />

nituntur, ea aut omnino non citantur aut ipsa theorema-<br />

tis verba repetuntur, neque usquam auctor theorematis aut<br />

nomen libri aut numerus propositionis afferuntur: haec<br />

autem omnia vetustissimae dictionis mathematicae propria<br />

esse satis constat. Accedit fusum fere et prolixum di-<br />

cendi genus, idem tamen, ornissis mediis quibusdam de-<br />

monstrationis membris, passim etiam hiulcum; accedit<br />

testis antiquitatis nativa verboruin simplicitas ac tenuitas,<br />

qualis decuit ilia mathematicae disciplinae quasi incunabula.<br />

Sed forte dixerit quispiam Theodosii sphaerica in his<br />

de quibus agitur demonstrationibus aliquotiens citari; ergo<br />

post Theodosium demum, qui primo ante Chr. n. saeculo<br />

vixerit, scriptas esse demonstrationes; alienas igitur easdem<br />

esse ab Autolyco, tribus fere saeculis antiquiore. Ad earn<br />

quaestionem in simili argumento accessit J. L. Heiberg,<br />

auctor in omni huius doctrinae genere locupletissimus 10<br />

) 7<br />

ac mihi quoque pauca, quae ad earn rem pertinerent,<br />

nuper commemorata sunt 11<br />

).<br />

Nimirum Euclidis etiam in<br />

10) Litterargeschichtliche Studien uber Euklid, Lips. 1882,<br />

p. 43 47. Hunc Heibergii libellum posthac, ubicunque eius<br />

citandi occasio redibit, breviter Studia Euclidea vpcabimus.<br />

slg TU cyciiQiKK in Fieckeiseni annalibus


XII PRAEFATIO.<br />

phaenomenis nonnulla theoremata, quae nunc in Theodosii<br />

sphaericis leguntur, citata deprehendimus neque tamen ob<br />

earn causam abiudicamus plaaenomena ab Euclide auctore<br />

Immo sphaericorum libri ante Euclidem fuerunt, quibus<br />

ille usus est, quosque duobus post saeculis Theodosius in<br />

earn formam redegit, quae ad nostram usque aetatem<br />

est tradita. Atqui si ante Euclidem fuerunt sphaerica,<br />

num incredibile est ante Autolycnm quoqne eadem fuisse?<br />

Ne multa, mmquam Autolycus in animum inducere potuit<br />

de sphaera quae movetur aut de ortibus et occasibus ex<br />

artis mathematicae regulis libros componere, nisi iam in<br />

manibus fuissent sphaericae doctrinae elementa, ratione<br />

geometrica demonstrata. Quae sphaerica vetustissima quis-<br />

eundem fere theorematum ac demon-<br />

quis composuit 12<br />

),<br />

strationum ordinem tenuit, qui ex Theodosii sphaericis nobis<br />

est notus, ac simili etiam scribendi genere usus est. Non<br />

negaverim equidem nonnulla Theodosium suo ingenio addi-<br />

disse, pauca etiam emendavisse; sed in plerisque ilia quae<br />

dicimus antiquissima sphaerica simillima fuerunt his recentioribus<br />

quae sub Theodosii nomine feruntur. Nam<br />

Euclidem in phaenomenis usum esse sphaericorum libri<br />

primi theorematis quattuor, secundi octo, tertii uno demonstrat<br />

Heibergius eo quern laudavimus loco; atqui ad<br />

haec ipsa theoremata demonstranda rursus alia necessaria<br />

fuerunt, quae in iisdem sphaericorum libris inveniuntur;<br />

ergo plura etiam quam haec tredecim, quae statim enu-<br />

(Jahrbucher fur dassische Philologie, Leipzig, Teubner}, 1883,<br />

p. 415 420. Ibi de sphaericis, quibus Autolycus usus sit, diximus<br />

p. 416 adn. 6. Et conf. eosdem annales, 1884, p. 367 sq.<br />

12) Ab Eudoxo Cnidio sphaerica scripta esse praeter Heibergium<br />

(1. c. p. 46) suspicatur etiam Paulus Tannery litteris<br />

mense Septembri anni 1883 ad me missis : J'ai ete joyeux de<br />

vous voir emettre T opinion que Us Splwriques de Theodose re-<br />

presentent un ouvrage anterieur a Archimede et a Autolycus.<br />

On ne peut guere, je crois, penser qiCa Eudoxe.


PRAEFATIO. XIII<br />

ineravimus, in antiquioribus sphaericorum libris iis fuerunt<br />

quibus Euclides usus est. Et simili argumentatione<br />

ex Autolyci demonstrationibus formam quandam illorum<br />

sphaericorum licet restituere.<br />

Verum alia quoque in Heibergii studiis Euclideis oc-<br />

cnrrit similitude, quae ad hanc de Autolyco disputationem<br />

apte transferatur. Nam ut in phaenomena irrepserunt<br />

nonnulla recentiorum interpretum supplementa, ita non<br />

omnia quae nunc in Autolyci libris manu scriptis legun-<br />

tur eadem prorsus forma qua ad nostram aetatem pervenerunt<br />

olim ab ipso composita sunt. Velut in demon-<br />

strationibus quae exstant ad libri primi itsgl litixok^v nctl<br />

dvGscov theoremata 8 et 10 non semel o^crih^fcrat, at in<br />

ipsa propositione undecima et in ea quae sequitur demonstratione<br />

ubique ogpxbftffim<br />

13<br />

legitur ). lam cum eundem<br />

scriptorem has formas longe<br />

inter se diversas eadem in<br />

scriptione promiscue admisisse vix credibile sit, atque<br />

illud oQadriGeTtti, posteriore demum aetate e vulgari di-<br />

cendi usu in litterarum monumenta sit translatum u ), theorema<br />

undecimum, in quo vetustior forma oyfrqesrat le-<br />

gitur, integrum ex Autolyci aetate exstare,<br />

contra illae<br />

quae o^aobftffTafc exhibent demonstrationes a scriptore ali-<br />

quo, qui uno pluribusve saeculis post Autolycum fuit, in<br />

hanc quam nuuc legimus formam redactae esse videntur.<br />

decimum eiusdem libri<br />

Atque in demonstrationem , quae<br />

13) Vide p. 78, 19. 90, 3 et 19. 92, 9. 94, 7 et 16. 96, 8 et 12.<br />

14) Prinmm qui OQcc&^asTKt scripserit citant Galenum Ttsgl<br />

%Qiag TOOV sv ttv&gcQTtov ffoofttm (JLOQLCOV libro X, vol. Ill p. 820.<br />

822 ed. Kiihn. Quamquam aoristus SCOQK^V inde ab Aristotelis<br />

aetate in usum venire coepit. Conf. R. Ktihner, AusfuJir-<br />

Uclie Grammatik der griechischen Sprache, edit. II, vol. I p. 881,<br />

W. Veich, Greek verbs, new edition, Oxoniae 1879, p. 495.<br />

Aristotelem ipsum aoristi formis modo 093^ modo oQa&ij ac<br />

siniilibus usum esse clocet Hennamms Bonitz in indice Aristotelico<br />

p. 520.


XIV PRAEFATIO.<br />

theorema sequitur, insuper inculcatum est lemma quoddam<br />

recentius (p. 92, 10 94,5), cuius scriptor, quasi sit ipse<br />

Theodosius Tripolita, TOVTG) yap, inquit, l%Qr}Ga(jieQ'C( %al<br />

sv TOO negi omjtfeeov. Denique in demonstrationibus theorematum<br />

12 et 13 passim occurrit conclusionis formula<br />

xccl wlvvv, aliena a vetustiorum scriptorum usu.<br />

Ergo sub finem primi de ortibus occasibusque libri<br />

nonnulla interpolata esse satis constat; at vero alia, quae<br />

ipse Autolycus eo loco adiunxerat, periisse videntur, si-<br />

quidem recte ab interprets quodam citatur primi libri<br />

theorema decimum quintum 15<br />

), id est secundum post illud<br />

quod<br />

in nostris codicibus est ultimum.<br />

Secundi libri de ortibus in decimo ac proximis theorematis<br />

quaedam insolito more composita esse commemo-<br />

ravimus p. 135 adn. 3.<br />

Contextum Graecum, qui hoc volumine continetur, non<br />

solum scholiis antiquis, sed etiam continua interpretatione<br />

Latina adnotationibusque nonnullis illustravimus. Necesse<br />

autem esse Graecorum scriptorum mathematicorum verbis<br />

addi versiones Latinas, cum et alioquin constaret et edi-<br />

tionibus Archimedis, Euclidis, Pappi, quae Heibergio et<br />

nobis auctoribus prodierunt, satis probatum esset, nuper<br />

de Autolyco edendo disserens confirmavit M. Curtze, vir<br />

in omni doctrina mathematica versatissimus 16<br />

).<br />

Ac ratio-<br />

nem interpretandi eaudem fere quam nuper in Pappi col-<br />

lectione tenuimus, et Graecis verbis accurate exprimendis<br />

et sententiis formulisque perspicue conformandis sedulo,<br />

quantum in nobis erat, intenti. Itaque, ne hoc silentio<br />

praetereamus, ex recentiorum usu Graecam<br />

15) Vide p. 132 G%6liov fis, p. 133 adn. 5.<br />

16) Jahresbericht uber die Fortschritte der dassisclien Alterthumsicissenschaft<br />

herausgeg. von C. Bursian, vol. XI, 1877,<br />

p. 210.


PRAEFATIO. XV<br />

id est partem aliquam totius circuli circumferentiae, Er-<br />

nestum Nizze, Theodosii interpretem, secuti plerumque<br />

arcum interpretati sumus; sed in libro de ortibus secundo<br />

circumferentiam dicere aptius visum est.<br />

lam quoniam princeps haec Autolyci scriptorum, quot-<br />

quot supersunt, in lucem prodit editio, operae pretium<br />

esse videtur, quibus rerum vicissitudinibus quasi iactatae<br />

fuerint praeclarissimi scriptoris reliquiae, paucis exquirere.<br />

Primum enim Autolyci libri in Latinum sermonem ex<br />

codice aliquo Graeco, ut videtur, verbo tenus conversi<br />

neque uspiam emendati, passim vero mutilati atque etiam<br />

auctoris sui nomine destituti, Venetiis anno MDI prodie-<br />

runt in priore volumine operis quod inscribitur<br />

Ge<strong>org</strong>ii Yallae Placentini viri clariss. de expetendis<br />

et fugiendis rebus.<br />

Cuius operis libro XVI sive Astrologiae libro I, cap. II,<br />

quaternionis cc folio primo verso incipit tractatus: De<br />

spliaerae moUlitate. Spliaerae puncta aequaliter ferri dicun-<br />

iur quaecunque aequali tempore aequales ac similes praeter-<br />

eunt magnitudmes cet., quae sunt Autolyci ns^l xivov(jivrjg<br />

Gcpcugag, usque ad verba: similiter demonstrabimus quod<br />

nequidem aliud aliquod praeterquam e. igitur e. punctum<br />

centrum spliaerae est, et est in utroque ale. orbium maximus<br />

ergo est uterque a~bc. cdb. orb is, quae respondent ex-<br />

tremo contextui Graeco eiusdem libri. Sequuntur folio III<br />

verso haec: De ortu et occasu siderum. Stellarum non er-<br />

rantium ortus et occasus alii dicuntur veri, alii apparentes<br />

cet., quae conversa sunt ex Autolyci Ttsgl Imwl&v %al<br />

dvtieuv libro primo. Sed octavam Autolyci propositiouem<br />

apud Vallam sequitur duodecima eademque extrema; omissae<br />

igitur sunt propositiones nona, decima, undecima, ter-<br />

tiadecima. Sequuntur alia theoremata quae respondent<br />

Autolyci secundi libri propositionibus septem prioribus;


XVI PRAEFATIO.<br />

turn folio eiusdem quaternionis VI recto inde a verbis<br />

Acceptis sub signifero in occasus ad meridiem cet. eiusdem<br />

libri propositiones tres extremae Latino sermone expres-<br />

sae sunt, omissae autem illae quae mediae in Graecis le-<br />

guntur, scilicet octava usque ad decimamquintam. Sequitur<br />

eodem folio verso tractatus qui inscribitur 'De signorum<br />

progressu dimensio. Si fuerint quotcunque termini in<br />

excessu 9<br />

cet.<br />

Autolyci libri de sphaera propositiones sine demon -<br />

strationibus suis Messanae prodierunt anno MDLVIII in<br />

volumine quod inscribitur<br />

Theodosii sphaericorvm | elementorvm libri. III. Ex<br />

|<br />

traditione Maurolyci Messanensis Mathematici. Menelai<br />

|<br />

sphaericorvm lib. III. Ex traditione eiusdem. | | Mavrolyci<br />

sphaericorvm lib. II. | Avtolyci de sphaera, qvae movetvr<br />

Liber. Theodosii de habitationibus. | | |<br />

nomena Brevissime demonstrata. | |<br />

Evclidis phae-<br />

Maurolyci<br />

Sphaera sermo. |<br />

de<br />

Incipit Avtolyci de spliaera qvae movetur, Ex traditione<br />

Mavrolyci, liber folio 61 recto, unde pertinet ad fol. 62<br />

rectum l7<br />

). Converterat autem Franciscus Maurolycus, abbas<br />

Messanensis, has Autolyci propositiones e libro Arabis<br />

Mauro-<br />

Zin-Eddin-Abhari, non e Graeco aliquo<br />

18<br />

codice ).<br />

lyci interpretationem Parisiis anno 1644 repetivit Marinus<br />

Mersenne in ea quam edidit Universae geometriae mixtae-<br />

que mathematicae synopsi p. 243 246.<br />

Primum Autolyci propositiones non solum Latino, sed<br />

17) Maurolyci libri quamvis typis plim expressi exempla<br />

nunc multo rariora sunt quam Autolyci codices Graeci manu<br />

scripti. Nos Monacensis Bibliothecae regiae exemplo usi sumus,<br />

quod uno eodemque volumine continetur cum Bongi rnystica<br />

numerorum, quo quidem titulo totum volumen obsignatum<br />

est.<br />

18) Martin, Revue critique (supra adn. 1) p. 410 sq., Ricardus<br />

Hoche in praefatione ad Autolycum p. II.


PRAEFATIO. XVII<br />

etiam native sermone edidit Conradus Kauchfuss Argen-<br />

torati anno MDLXXII. Titulus libelli, cuius item pauca<br />

admodum exempla exstant, hie est:<br />

Sphaericae doctrinae propositiones graecae et latinae:<br />

nunc primum per M. Cunradum Dasypodium in lucem<br />

editae.<br />

Priorem huius voluminis partem propositiones ex Theo-<br />

dosii libris GcpaiQwcov , neqii otV^'orscov, Ttsgl JHJIEQ&V %al<br />

VVKTCOV excerptae occupant. Sequuntur Autolyci proposi-<br />

tiones his sub titulis: AYTOAYKOY ns^l Kivovfjievrjg Gcpctlqag<br />

fiifiUov sv (p. 36 40), turn AYTOAYKOY negl emtoArov<br />

Kui dvGs&v ngwrov (p. 40 44), itemque TO 6sms-<br />

QOV (p. 4450).<br />

Faucis post mensibus, quam Dasypodius haec in publicum<br />

emiserat, propositiones librorum de ortibus occasibusque<br />

in sermonem Francogallicum conversas edidit<br />

Forcadel de Beziers, vir mathematicus, Parisiis anno<br />

MDLXXII 19<br />

).<br />

Ex eadem Dasypodii editione vir quidam et Graeca<br />

et mathematica doctus saeculo XVIII descripsit omnes<br />

quas diximus Theodosii Autolycique propositiones. Quod<br />

apographum extrema folia occupat eius codicis, quern nunc<br />

possidet Franciscus Eyssenhardt; atque eae quidem paginae,<br />

quibus Autolyci fragmenta continentur, separatim numeris<br />

1 9, turn rursus eae, quibus Theodosiana descripta<br />

sunt, numeris 1 18 notatae sunt. Edidit autem ipse<br />

possessor ex hoc apographo, Dasypodii editionis ignarus,<br />

in Fleckeiseni annalibus 20<br />

) Theodosii de habitationibus et<br />

de diebus ac noctibus propositiones, turn ad Autolycum<br />

19) Scripsimus haec secundum Martinum 1. c. p. 411, librum<br />

ipsum non vidimus.<br />

20) Jahrbucher fur dassische Philologie (Leipzig, Teubner)<br />

1868 p. 243 sqq.<br />

Autolycus.<br />

b


XVIII PRAEFATIO.<br />

variam scripturam<br />

indidem enotavit Ricardus Hoche in<br />

libello, quern statim citaturi sumus. Scriba igitur litteratus<br />

ille de quo diximus Dasypodii paginarum numeros<br />

in suum apographum transtulit, textum accuratissime,<br />

omissis tamen accentibus, adspiratione , iota subscriptis,<br />

repetivit, errores quosdam Dasypodii manifestos, velut<br />

dvGrjTcci, vel indicativi formam naQayiyvi}xcu, in describendo<br />

correxit, praeterea autem nihil neque coniectura sua ne-<br />

que vero ullo ex libro manu scripto supplevit. Id quod<br />

singillatim perscrutari licuit mihi per Eyssenhardti benevolentiam,<br />

qui codicem suum excutiendum mihi misit anno<br />

MDCCCLXXXIII.<br />

Plenos Autolyci libros in Latinum sermonem conver-<br />

ses Romae edidit losephus Auria, ac librum quidem de<br />

sphaera anno MDLXXXVII, eos autem qui sunt de ortibus<br />

et occasibus anno insequenti, his sub titulis:<br />

Autolyci de sphaera quae movetur liber. Scholiis<br />

antiquis, et figuris illustratus: de Vaticana Bibliotheca<br />

depromptus. losepho Auria Neapol. interprete.<br />

Autolyci de vario ortu et occasu astrorum inerrantium<br />

libri duo. Nunc primum de Graeca lingua in Latinam<br />

conversi: Scholiis antiquis et figuris illustrati, de<br />

Vaticana Bibliotheca deprompti. losepho Auria Neapolitan<br />

interprete.<br />

His libris editis egregiam ac vix unquam satis laudandam<br />

operam praestitit vir doctissimus ac diligentissi-<br />

mus, qui nisi Graecum contextum omisisset (quern quidem<br />

separatim edere animum induxerat), omnibus virorum<br />

litteratorum desideriis longum in tempus satisfecisset.<br />

Quod autem editoris fuerit consilium quibusque usus sit<br />

subsidiis, ipsum audiamus exponentem. Primum in praefatione<br />

ad librum de sphaera INTERPRES LECTORI<br />

S. D. his verbis:


PRAEFATIO. XIX<br />

In Autolyco, et Theodosio id a nobis susceptum est la-<br />

boris. Principio, Graecum exemplar nostrum manuscriptum<br />

cum omnibus exemplaribus graecis manuscriptis, antiquissimis<br />

illis quidem quinque, quae asservantur in Vaticana Bibliotheca,<br />

quorum mihi copiam meo arbitratu semper fecit humanissimns<br />

vir Federicus Reinaldus, Vaticanae custos, diligentissime<br />

contuli. Scholia omnia, veluti Apes summos Sores, ex<br />

illis, in quibus sparsim essent posita, decerpsimus , et in<br />

nostram Autolyci, et Theodosii versionem transtulimus. Quamquam<br />

aliqua sint fortasse, quae aliena prorsus videantur, tamen<br />

nos in hoc peccare maluimus, quam committere, ut diligentia<br />

nostra desiderari possit, si quid fuisset praetermissum: Omnia<br />

(ut videre licebit) suis apte<br />

locis collocanda curavimus.<br />

Atque idem paulo post, de Maurolyci editions, quam<br />

ille ex Arabico fonte haustam nobis tradiderit, disserens:<br />

Ut autem nihil omitteremus , Maurolyci harum trium (ut<br />

dixi) Propositionum una cum eiusdem scholiis versionem quoque<br />

addere voluimus: Ceterum, figuras magna ex parte mutavimus;<br />

Quid nos praestiterimus cum , graeca horum librorum<br />

exemplaria edemus omnes ,<br />

intelligent.<br />

Turn in praefatione ad libros de ortibus occasibusque<br />

INTERPRES LECTORI S. dicit his verbis:<br />

Quanta ardeam cupiditate, et adiuuandi et illustrandi hoc<br />

genus disciplinae quae [idd"r}OLS, seu pcc&rjficc graeco nomine<br />

appellatur, quae ve ad primum mobile spectat, vel ex editione<br />

Autolyci de sphaera, quae mouetur, et Theodosij de<br />

Habitationibus anno superiore potuisti, Lector, intelligere: in<br />

quorum librorum editione cum multos in hoc genere auctores<br />

etiam ad scientiam primi mobilis pertinentes, breui me in<br />

lucem emissurum, pollicitus essem, faciendum existimaui, vt<br />

Autolyci de vario ortu, et occasu inerrantium astrorum libri<br />

duo subsequerentur: in quorum librorum editione, si nihil<br />

aliud praeterea consequemur, illud certe mihi omnium gratiam,<br />

credo, conciliabit, quod Auctores antiquissimos, praestantissimosque<br />

in hoc genere, e tenebris, in quibus tot annos,<br />

nescio quo fato, misere iacuerunt, vindicare sim conatus. Di-<br />

ligentia eadem in his, atque in ceteris iam editis, adhibita<br />

est: Nam graecum exemplar nostrum manu scriptum, cum<br />

b*


XX PRAEFATIO.<br />

quinque vaticanis exemplaribus graecis item, & manuscriptis<br />

a nobis collatum est: ex quibus quidem scholia cunque<br />

omnia, quae-<br />

sparsiin in illis essent, a nobis & decerpta, & latine<br />

facta, in singulas propositiones videbis annotata, et addita.<br />

Locos auteni ad scientiam demon strandam, quoniam in graecis<br />

codicibus nusquam erant, vel ex Euclidis Phaenonienis,<br />

vel Theodosij xav 21<br />

)


PRAEFATIO. XXI<br />

ad codicum veterum duorum auctoritatem, Hamburgensis<br />

et Monacensis, verba Graeci scriptoris exegit. Censuram<br />

huius libelli Martinus egit eo loco quern initio citavimus<br />

p. 409416.<br />

Arabicae Autolyci librorum versiones exstant nonnullae<br />

de quibus agunt Harlesius in Fabricii Bibliothecae Gr.<br />

vol. IV p. 17 sq., I. G. Wenrich, De auctorum Graecorum<br />

versionibus et commentariis Syriacis Arabicis cet., Lipsiae<br />

1842, p. 208 sq. 23<br />

), F. Wiistenfeld, Die Ubersetzungen ara-<br />

lischer Werke in das Lateinisclie, AbTiandl der K. G-esellsch.<br />

der Wissensch. zu G-ottingen, vol. XX,<br />

anni 1877 actorum<br />

mensibus Maio et lulio p. 65, Maur. Cantor, Vorlesungen<br />

uber G-eschichte der Mathematik I p. 603. Gothae in bi-<br />

bliotheca ducali complures saeculi noni codices servari,<br />

qui Autolyci, Theodosii aliorumque astronomorum versiones<br />

Arabicas contineant, et ex his quidem nonnullos a<br />

Wenrichio nondum citatos esse Guilelmus Pertsch litteris<br />

Gotha a. 1876 missis humanissime mecum communicavit.<br />

Restat ut de libris manu scriptis, quos ipsi excussi-<br />

nms, pauca addamus. Ac Vaticanum quidem unum, ut<br />

iam dictum est, Romae descripsimus, alios Parisinos plu-<br />

res ilia in urbe contulimus, denique etiam Florentiae in<br />

libro Laurentiano Autolycea quaedam invenimus. Nostro<br />

in domicilio versavimus codices Monacensem et Hambur-<br />

gensem, quod ut per tantum temporis spatium, quantum<br />

opus esset, facere nobis liceret, Ge<strong>org</strong>ii Laubmanni et<br />

23 V<br />

) Locus hie est, ut Wenrichii testimonium de commentariis<br />

in Euclidem iniuria Autolyco tributis, qua de re iam<br />

supra (p.V) Martinum citavimus, verbo tenus afferamus: Autolyci<br />

nomine, iuquit Wenrichius p. 209, a Mohamrnede ben<br />

Ishak laudantur praeterea commentarii in Euclidis Elementa,<br />

Aristotelisque Categorias, quorum tamen librorum Deque veterum<br />

quisquam, neque Fabricius Harlesiusque mentionem in-<br />

iiciunt.


XXII PRAEFATIO.<br />

Francisci Eyssenhardti, virorum praeclarissimorum, huma-<br />

nitate contigit ac benevolentia.<br />

Sequitur codicum conspectus:<br />

A = Vaticanus Graecus 191 membraneus , saeculi<br />

XIV, partim etiam XV, continet fol. 64 70 libros nsql<br />

cav xal Svtisav, turn fol. 72 74 librum Ttsgl KLVOV-<br />

GqpalQctg. Medium inter haec Autolycea locum oc-<br />

cupat Hypsiclis avctcpoQiKos 24<br />

).<br />

B = Parisinus Graecus 2390, bombycinus, saeculo<br />

XIII ineunte, ut videtur, exaratus, continet fol. 261 264<br />

librum TCEQI xivovpEvrig GyaiQag.<br />

C = Parisinus Gr. 2342, chartaceus, saeculi XIV,<br />

contine-t fol. 129 V<br />

131' librum ite^l GyaiQvg, fol. 150 V<br />

154 V<br />

libros TtEQi IntToh&v YM\ SvGscov. In 'margine<br />

praeter figuras plurima scholia partim minio, partim atra-<br />

mento, eaque omnia minimis litterarum ductibus, qui non-<br />

nullis locis paene evanuerunt, adscripta sunt. Quae cuncta<br />

in ordinem redegimus ac suo quodque loco cum iis scho-<br />

liis, quae in aliis codicibus exstant,<br />

in hanc nostram edi-<br />

tionem recepimus.<br />

D = Monacensis Gr. 301, chartaceus, ab Andr. Dar-<br />

mario saeculo XVI scriptus, continet fol. 53 75 librum<br />

E = Hamburgensis math. gr. V fol., chartaceus, sae-<br />

culi XVII, continet pag. 5 28 librum TCBQI GyaiQag,<br />

pag. 29 89 libros Tte^l fTwroAcov xccl dvGscov. Breviora<br />

scholia ad suum quodque locum in rnargine, alia longiora<br />

ad librum de sphaera post singulas propositiones , ad li-<br />

bros de ortibus occasibusque uno tenore pag. 91 102<br />

adscripta sunt.<br />

24) Conspectum omnium auctorum et libroruin mathematicorum,<br />

qui hoc amplissimo codice plurium scribarum manibus<br />

exarato continentur, praebet Gustavus Parthey in annalibus<br />

acadeiniae Berolinensis (Monatsberichte etc.) 1863 p. 374 sqq.


PRAEFATIO.<br />

Praeterea de paucis quibusdam locis inspeximus codi-<br />

ces Parisinos Graecos, saeculo XIV exaratos, 2364 char-<br />

taceum, 2448 bombycinum, 2472 chartaceuni.<br />

Codex Laurentianus pint. XXVIII, 14, folio 301 sub<br />

titulo ainoJlvKov nQi ertirohcov ccGTeQav continet libri primi<br />

de ortibus occasibusque<br />

definitiones inde a verbis T


XXIV ADNOTATIO IN<br />

ADNOTATIO IN AUTOLYCI LIBROS.<br />

2, 1. dirroXuKou A, atJToXiiK 8 B. 2. Kivoujue-v^ 5 B. cqpai-<br />

pac D, cqpaipac pipXiov ev Da. 3. "Opoi add. Da. 4. A<br />

B in marg. , a' E in marg., a Da, om. A CD. ad '0|aaXil)C<br />

super versum addit<br />

m. superscr.<br />

icoTaxeuuc Paris. Graec. 2448. oca et ead.<br />

c<br />

/rav B, 8rav AD, oca CEDa. 5. Tea re AB,<br />

tea (omisso re) C, ica T D, Ted T E. ?\ BCD Da, ?\ A, om.<br />

E.Maw (et aequales magnitudines et etiatn similes Au}. bie^pxerai<br />

et superscr. ryrai B. 6. p' E, in marg. Da, om.<br />

ABCD. qpepouevov TI A, qpepouevov j6 B. 7. bio A.<br />

9. bief|X0e BCD. 11. TTpoTaceic add. Da. 12. a C in<br />

marg., a D in marg., A' E, om. AB. CTpe-qpeTai AB. 14.<br />

6ca jar) CCTIV em roO d5ovoc] praeter polos Mau. ^r\ icriv<br />

CDE. 15. ccpatpa D.<br />

4, 1. rd ap AB, distinx. CDE. 2. *|aimic, eraso uj, A.<br />

4. JUT] cnv D E. 6. tf\ cqpatpa A, TT) c^aipa D. 9. cqpaipac D, et sic<br />

passim infra, itemque in dativo cqpaipa vel cqpaipa. 11. TUUV<br />

of ABD, distinx. CE. bl}] TT'IV E. 12. TO wft BCDE Au,<br />

TO ap A. 16. iracav sine ace. A. TOU ayp BCDE^dw, TOO<br />

OY~ A - 17 TTI op euGeia A, TTJ op eiiOeia D. 18. ir\<br />

c^aipa A, Tfj c^aipa D. 19. oOca om. C. 20. 21. verba<br />

bid TO Kai Tfiv FA atel bia^vew Trj AB Trpoc 6p0dc tolerari<br />

possent, si abesset xai, sic enim repeteretur hypothesis quae<br />

paulo supra (vs. 15 17) posita est; at ille qui haec verba, addito<br />

KOI, repetivit alienum quid inculcasse videtur. 20. del<br />

ABCE, #ei D. 21. O'TI Td op AB, distinx. CDE. 26. nn<br />

kTiv E. 27. TUJ ct.p D. Ti6\ouc om. B.<br />

6, 1. oi be A pr. m. ex 6 be. 2. c^aipa xOicXot TrapdX-<br />

XriXoi eiciv D. 3. urj kTiv D. 5. eri] OTI D. 7. p A in<br />

marg., p B in marg., p C in marg., p D in marg., BE. 9.<br />

10. biepxeTai D, praeteribunt Fa Mau, percurrent Au. 10.<br />

KOxXujv om. Da. 13. Td aji AB, distinx. CDE. 16. Td yb<br />

AB, distinx. CDE. 17. yb AB. 21. TP om. D. 22. Td<br />

Yb AB. oi be ye ^ E. 23. bid Tf]C cipr emuebov CE.<br />

bri] be TO ayp i^juiKiiKXiov D.


LIBRUM DE SPHAERA. XXV<br />

8, 1. SepxV oTe<br />

ZJfAB.<br />

Hu.<br />

de TI^ A, aerjji BODE, virgulam notae B adscripsit<br />

15. frrl T6 B' Hu, frrl TO e ABODE, f<br />

J<br />

ad punctum E<br />

Au. 16. kTiv Tf]C D, sed v expunctum. 17. 18. TO, T Y<br />

eiri TO irapaYweTai D. 19. 6|uoiujc b D. 20. oub' E.<br />

TT' a\\6 TI ABCD, corr. E. 2225. un tpx^cGuj<br />

bt T6 "OY?<br />

fjluiKUKXiuj (sic) bid TOO b uuc ?x^ 1 ^^ Tin c 3' KaTttYpaqpnc D.<br />

23. bid TUJV QY^ ABE, distinx. C (de D vide priorem adnot.).<br />

25. beuT^pac] $" C , p' D (ut iam supra adnotatum est). 26 sq,<br />

circulus 6b parallelus, in quo 6 punctum feratnr Au (nisi quod<br />

Latinas notas H D F habet pro b )<br />

10, 1. 6 A0Z] 6 0bY TbAu (conf. priorem adnol). post<br />

TT) TE add. D compendium vocis Trepiqpepeiac. 2. ouoia i\ 0n<br />

et similiter paulo post TT) bZ. irepiqpepeia E secundum notas<br />

geometricas figurae, quae est in codice, adscriptas; illic enim<br />

occupat locum notae b in nostra figura (p. 8) et vice versa<br />

b locum ipsius 0; easdem notas in codice suo legisse videtur<br />

Au, sed tamen figura eius diversa est a notatione codicis E,<br />

nostrae autem notationi congrua. 2. 3. Trepupepeici ecriv<br />

6noicr Kcd rj AH dpa Tf] 0Z om. B. 3. xai ?\ Qr\ dpa E;<br />

idem in suo codice legisse videtur Au (conf. adnot. ad vs. 2).<br />

Tfj (ante crlv 6|uoia) CD, (omisso Tfj) E, TTJ el A, ipsi<br />

DF (id est Tfj"bT) Au. gcTiv A. 4. xal eici BCD. 49.<br />

Quare circurnferentia 0r] aequalis est circumferentiae bl : aequali<br />

igitur tempore punctum ad r| veniet, atque b ad I accedet:<br />

sed quo tempore punctum b ad Z. pervenit, eodem tempore<br />

punctum Y ad e accedit: aequali igitur tempore punctum Y ad<br />

e, et ad rj perveniet Au (nisi quod Latinas notas C pro Y<br />

E pro e et similiter ceteras habet). 4. dpd cnv A, dpa icrl<br />

C. 4. 5. i 5 a<br />

Tfj b Trepupepeia E (conf. ad vs. 2 et 3),<br />

) 0rj ^)


XXVI ADNOTATIO IN<br />

similiter Au (ut modo adnotatum est). 5 7. ev icuj dpa<br />

Xpovuj T6 eirl TO fj xal T6 6 era TO I. ev I'CLU 6e XPviy<br />

TO 6 eiri TO I uapaYiTveTai E (perinde igitur ac supra 6 et<br />

6 inter se permutavit). 6. irapaYiveTcn D (sed paulo post<br />

bis irapaYiYveTat). 8. XP^viu f6,T Y D. 9. xai TO 6 eirl<br />

TO fj E (conf. ad vs. 5 7). 10. f A in marg., P B in marg.,<br />

f" C in marg., 7^ D in marg., f E, dvTicrpocpov praeterea addit<br />

C in marg. 11. bieH^px^Tai] transmittent Va Mau, praeteribunt<br />

Au (iidem interpretes aliis quoque locis futura tempora<br />

verborum pro praesentibus suo arbitrio ponere, vel etiam praesentia<br />

pro futuris velut infra p. 12, 11 13, p. 14, 19<br />

praeferre solent). 12. cr}|ueta Tivd ABODE Da. 13. ojaoiai<br />

iciv AD, oVoiai eiciv BJDa. 14. iroXoi 6^ TCI op AB, distinx.<br />

CDE. 16. T& Y& AB, distinx. CDE, item vs. 17. 18. T6,<br />

Te Y crjiueiov D. 18. 19. biairopeu^cGuu usque ad irepiqpdpeiav<br />

om. C. 20. 6'juoid ic-civ A. 21. jur] kTiv E. 22. TO,T Y<br />

D, item vs. 24. 23. TTJV fe biaTropeiieTai Treptqp^peiav E.<br />

12, 1. 2. xpovtu T6,Te 6 D. 2. post TI^V AH add. B TT)<br />

A2, sed ea expunxit prima manus. Kcd etcl CD,<br />

Kai elci E.<br />

3. apa ICTIV A, apa ecriv B. 4. otr^p SCTIV A CD. 5. 6'juotd<br />

ecTiv A, 6|uoid ecTiv B. 6. oub' ctXXr) E. dpd ecTiv AB.<br />

7. Tfl AZ] Tf] oY Trepicpepeia D, Tf\ bl ^f E. 8. A A in<br />

marg., A B in marg., 6 C in marg., A' D in marg., idem E<br />

tituli instar. 11. ouov TUJV BCDE, ou6v TOV enotavi ex A.<br />

11 13. superficiei sphaerae punctum nullum occidit, nullum<br />

oritur Fa, nullum punctum superficiei sphaerae oritur, nullum<br />

occidit Mau (liberius Graeca verba interpretantes). 12.<br />

crijueiov D, crmeiuuv (sic) Da.<br />

cet. D in marg. adnotat d. dei<br />

del ecTiv ABCE, dei CCTIV D.<br />

13. ad verba d\\d Td j^^v<br />

cn ABCE, del ^CTi D. 14.<br />

semper occultantur Fa Mau,<br />

semper occulta sunt astra Au. 15. JUCYICTOC add. Hu. 17.<br />

T6T E. 20. etri Tfjc orn. B.<br />

14, 2. Trapd\Xr]\oc interpolatori tribuit Hu\ nam circulum<br />

Yb horizonti parallelum esse in proximis demum demonstratur.<br />

3. KUK\OC in contextu omissum in margine add. D. 4. 6p6dc<br />

ICTI BC, opGdc ecTi D, opOdc kTi E. 6. cujapdXXa et minio<br />

superscr. cuuiriiTTei C, cuju|3aXei et in marg. pr. manu cujuTrtTUTet<br />

E. 7. Strep ecTiv A BCD. ecTi YP BCDE. 9. f\ ante


LIBRUM DE SPHAERA. XXVII<br />

dvareXeT in D minus distincte scriptum est. 13. 14. ecnv ev<br />

TUJ qpavepuj] in ipso apparent! sunt Fa, erunt in apparente Au,<br />

immo ecnv qpavepd Hu. 14. 15. ecnv ev TUJ dqpavei] in non<br />

apparent! Fa, erunt in occulto Au, ecnv dqpavf) E. 16. e A<br />

in marg., ? B in marg., 6 C in marg., D in marg., E E.<br />

17. T6re pro T6 Te E, et sic passim posthac. 17. 18. ad<br />

verba Trdvra Ta tiri cet. D in marg. adnotat (conf. ad p. 12,<br />

13).<br />

tur<br />

19. Kdl<br />

Fa Mau.<br />

buceTai xal dvaTe"XXet Da, et occidunt et oriun-<br />

Tcov B E. 20. evexGrjcerai] vertuntur Fa,<br />

morantur Mau. 22. '0 YP bid TUJV CE. 23. 6 ABC] 6 ojj<br />

A, ABC (id est ABQ VaAu. 26. cr^eia BD, aiiueiov A,<br />

om. CE. occidere et oriri Fa, et orientur et accident Au.<br />

buvei] 6uvd|Ht (sic) D.<br />

16, 1. 2. TI cr)ueiov TO A] punctum aliquod C Au (hoc<br />

igitur loco in Graecis P legit, in reliqua autem demonstration<br />

easdem notas habet ac Graeci codices), punctum d Fa. 3.<br />

6 pb ye AB, coniunx. CDE. 4. ad verba orav |uv cet. D in<br />

marg. adnotat ^ (conf. ad p. 12,13. 14, 17sq.). 5. 6uvei] buva-<br />

c0ai D. 6. TOV 5r be A, TOV pr& BCD Fa, TOV peyb E,<br />

corr. Hu auctore Au. 7. MXCC T^ ABCD. Kal irp6c 6p6dc<br />

om. ABCD VaAu, irpoc opGdc om. E, corr. Hu. 8. dpd<br />

kxiv AB. 9. aiei ABCD, del E. 11. Icov ABE, corr. CD.<br />

16. Tcov AE, corr. BCD. 19. 4 A in marg., f B in rnarg.,<br />

? CD in marg., g' E, ad eandern propos. D in marg. praeterea<br />

adnotat b (conf. modo ad vs. 4). 21. dcpcbrreTai E, ^qpavyriTOti<br />

Da. 23. aiei ABCD, xai E, dei Da. 24. aiei ABCD,<br />

dei E-Da.<br />

18, 1. ine'vujv KuxXoc judYtcroc E. 2. TO Te A. 4. eqpdirTeTai<br />

E, sed iyeTai corr. prima m. in marg. 5. aiei AB<br />

CD, dei E, item proximo versu. 7. 8. ?CTUJ YP cpavepoc<br />

iroXoc Tf]C cqpaipac 6 6. Kai bid TUJV TOU apy<br />

KIIK\OU ir6Xujv xai<br />

TOU b ILI^YICTOC cet. D. 8. TOU ABF KUKXOU] TOIJ apy C. 10.<br />

11. biacTrnuaTt b TUJ ba xuxXoc vtypdcpQu) 6 an D. 12. ad<br />

verba biacrrnuaTi be TUJ Ef cet. D in marg. adnotat e (conf.<br />

ad p. 12, 13. 14, 17 sq. 16, 4 et 19). ^payQw 6 p


XXVIII ADNOTATIO IN<br />

-*<br />

TrapdXXr]X6c ecri CD. 14. 15. TUJV ad vs. 12).<br />

ar| YK@ B (couf. supra<br />

20, 1. aiei ecri BCD, aiei ecri A, del ecri E. 1.2. aiei<br />

ecriv ABC, dei ecriv E, aiei, omisso ecnv, D. 3. ^ ecriv<br />

AC, |uri ecriv BDE. del E. 5. cujupaXeTUJ D. 6. eirei]<br />

xai eirei D. 7. TUJV (ante ev Trj opaipa) om. D in contextu,<br />

sed add. prima m. in marg. 8. bfya re ABCD. 9. Te~uvei<br />

D. dpd ecTiv AB. 13. 14. eiri biaueTpou TT^C OY bis scripta<br />

sunt in E; sequitur cr]|ueia, sed id expunctum. 15.<br />

BCD. 19. 20. T^juverai xai xaTd TO 6 E. 23.<br />

ABCDE, sed A \icr partim in rasura. crlv Tractuv<br />

TOO A] ab d Fa,<br />

eqpecrrixe<br />

eXaxicrri<br />

E. caro<br />

a polo D Au. 25. euGeiac (post AA) om.<br />

D. ad verba d\Xd xai i'cri cet. D in marg. adnotat 2 (conf.<br />

ad p. 18, 12 cet.). 26. Y


LIBRUM DE SPHAERA. XXIX<br />

24,1. cTrereuxGwcav oi (sic) r\Q e -<br />

fi E. eirel]<br />

xcd eirei<br />

D. 3. TO oj$Yb AE,-TOV afab BC, corr. D. 3. 4. bix


XXX ADNOTATIO IN<br />

culus Au. ecri BCD. TOV HZ0] TOV rJ29 K\JK\OV D. 8.9.<br />

r| K0ivt\ dpa auTUJV TOUI>] C. 9. TUV ap fb pa A, TIUV ap<br />

yb, pa D, TUJV ctpYb-~pa E, corr. BC. AB if] (ante opGrj) om.<br />

D. ecri BCDE. 11. dTTTOue'vac atjTf]c xai oucac ev TIU<br />

D. ev TUJ r]0K eTrnre'buj C, ev TW r\lQ ItriTre'buj E,<br />

rtfti KUKXOU eTrnre'buj D. 12. 6] br] D. ^xdTepa<br />

ev TUJ TOO<br />

D. 13.<br />

TOO Y] 2 9 KIIK\OU D (et pro KUK\OU quidem KU cum compendio<br />

ou sub u). ad verba ^ AB apa cet. D in marg. adnotat \<br />

(conf. ad p. 24, 13 cet).<br />

28, 1. 11 imo Kju9, omisso TUJV, D. xXicic ecTiv A. 2.<br />

TOV ap TO A, TOV apfo BCE, corr. D (nisi quod ap by distin-<br />

xit). 3. f| UTTO Xv6, omisso TUJV, D. kTiv f\ K\ICIC] i 5<br />

)<br />

K\ICIC<br />

kTiv D. 4. TOV op T6 A, T6v afrb BCE, corr. D (recte<br />

etiam notas geometricas coniungens). 5. TCI afifb B. 6.<br />

TOU ZQ AC 8<br />

, TOO TJT0 BDE. 7. 7rapdX\Yi\oi eicvv ABD, ^_<br />

eiciv E (accentus ad 01 adiectus compendium scripturae signi-<br />

ficat). 8. f\ im6 xjuv, omisso TUJV, D. ^ Tfj UTTO Xv9 yuuvia<br />

D. 9. 7 s<br />

] u^v imo KJUV T^vta D. f^v ABCE, iv fj D. 10.<br />

TOV ap Y^ A, T6v apyb BCE, corr. D (nisi quod ap 6y distin-<br />

xit). 10. 11. r 5<br />

) 6^ UTTO Xv0 D. 11. f^v] in hanc scripturam<br />

h. 1. consentit etiam D. 12. TOV ap y6 A, TOV apyb BCE r<br />

corr. D (nisi quod ap by distinxit). ol apyb dpa BC. 13.<br />

TOV ap Y& A, TOV apyb BCE, corr. D (recte etiam notas geometricas<br />

coniungens). KtixXov] horizontem Au (rcpetivit igitur<br />

earn scripturam quae p. 26, 2 in codicibus legitur). 14.<br />

fi A in marg., ^ B in marg., "rf CD in marg., H E. 16. !q>apu6couciv<br />

ABCD, convenient Au, &papu6ouav E, conveniunt<br />

Fa, congruit Mau.<br />

30, 1. "ECTUJ T ctp v E. 6 ABP] ABCD^w. 2. \nk.v<br />

del ABCE, |iev del D. 6 AE] FG Au et similiter posthac<br />

notis ex arbitrio electis. be atel hoc loco recte ABC,<br />

be del D, be del E. 3. e^pcttrreTai] tangat Au. 3. 4. ye-<br />

YpdcpGuj TIC AE (de D vide proximam adnot.). 4. T!C ^71-<br />

CTOC KUKXoc ecpairT6uevoc om. D in contextu, add. prima m. in<br />

marg. 5 init. 6 bp e~Y AB, coniunx. CDE. 5 extr. 6 bp<br />

ey A, coniunx. BCDE. 7. Y^p TIC irapdXXriXoc xuxXoc TIXJ ab


LIBRUM DE SPHAERA. XXXI<br />

6 cet. D. 8. bri ecriv A, br| ecri BC, bi>) ecrl D, bri<br />

eCTai E.<br />

9. TCC T Z E Hu, TO b Ye ABE (item C, nisi quod lineas<br />

supra b YC om.), Ta blfe D (de ordine notarum I f e conf.<br />

adnot. ad figuram p. 30). cViro TOU A] pro diro in B legi-<br />

tur Oir6 (sic); notatus igitur est error pro<br />

d. 10. TCI H B<br />

A Hu, TCC anpX ABE (item C, nisi quod lineam transversam<br />

om.), TO\ ar\ (SX D. Trapd\\r|\oi eiclv KiixXoi A, TrapdXXr|Xoi<br />

elci xuxXoi B, TrapdXXr]Xoi eia xuxXoi CE, irapdXXr|Xot xuxXoi<br />

eiciv D. 11. xal ante YYpa|U|Lievoi om. C. elcl BCD. 12.<br />

01 op -fb-pe-f A, 01 a^y, 6epY D, corr. BCE. 13. KCU elci<br />

BCD, xai eia E. 14. ZH AE] friXe AC, Zr\'\e B, Zr\ Xe D,<br />

2ri, XTE. 15. dpd ecrtv AB, dpa -/.v E. 1} box E (at<br />

recte paulo post TI^V 6xa). 16. irepiqpepeiqt] irepiqpepei (sine<br />

ace.) D, ^9" E. 18. TrapaYweTCti D (at recte paulo supra<br />

irapaYiYVTai xal TO cet.). 18 20. xal GTI TO X T^V Xe bieXGov em TO e TrapaYiYveTai C. 19. 20.<br />

av<br />

~^<br />

irapaYiveTCU D. 20.<br />

21. O'TCXV TO a eni T6 6 irapaY^vriTai D. 22. Trape'crai ABCDE,<br />

sed A CT partim in rasura. xal TO Xe (sic) em TO ? C. eqp-<br />

ap)n6cei] conveniet Fa, congruit Au (sed easdem formas p. 32,<br />

2. 3. 5 redeuntes futuris congruet interpretatus est.<br />

32, 1. eirl T^IV BCDE, eul Tf) A. 6 b$ ef AB, coniunx.<br />

CDE. 3. T^JUVOUCIV E. 4. ad irXeiova supra versum TUUV<br />

buo add. C, unde irXeiova TUJV buo in contextu E. 6irep ecTiv<br />

ABCD. 5. 6 ABE] 6 ABEf coni. Hu. 5. 6. em TOV ABP<br />

KiixXov] circulo ABCD, horizonti scilicet, Au (conf. supra ad<br />

p. 28, 13).<br />

E. 12.<br />

7. 9 A in marg.,<br />

ev cqpaipc^ YP E.<br />

B in marg., G^CD in marg.,<br />

12. 13. ja^CTOC KuxXoc 6 ABf<br />

ex codicum auctoritate retinuimus, quia scriptor satis habuisse<br />

videtur ternis litteris, sicut in superiore propositione, circulum<br />

denotare; sed dubitari non potest, quin idem quartam litteram<br />

b ad eundem circulum eo fere figurae loco, quo nos adscripsi-<br />

mus, pertinere voluerit, id quod Auria quoque significavit<br />

c maximus circulus ABCD 7<br />

interpretans. 18. bOo crmeia TCI<br />

Ye AB, distinx. CDE, duo puncta, scilicet B et E, Au (idem<br />

etiam in reliqua demonstratione notas geometricas suo arlDitrio<br />

elegit). 22. TCI Y? AB, distinx. CDE. 25. YP oi 2^ E.<br />

26. Td =f AB, distinx. CDE. etrel] xal eirel D. 26. 27.


XXXH ADNOTATIO IN<br />

AoHoc ecn BCDE. 27. irpoc TOUC TrapCtX\r)\ouc] ad omnes<br />

circulos parallelos FEGH et KBLD Au (qui post parallelos<br />

omisisse videtur velut).<br />

34, 1. -f\ Y Treptq>e"peia dpa rf^c cet. B. 13. 6irp T^V<br />

ABODE, super (omisso terrain) Fa, supra terrain Au, (mep<br />

TOV opiSovTCi coni. Hu (nam de qualicunque sphaera quae convertitur<br />

et de punctis quae sunt in eius superficie, non de<br />

terra et astris agitur). T^v CTI CD, ^f\v<br />

ecriv E. 15. rot<br />

Zrj ABD, distinx. CE. dcrpa ABCDE, astra Va Au, criueia<br />

coni. Hu (conf. ad vs. 13). 18. 19. TTIC rpce BCDE, TTJC K<br />

A. 19. e'cruj] "CTUJ TP E. f\ I GT D. 20. etret] Kai<br />

tuel D. ojuoid ecTiv AB, 6^ioia -/.v E. ^ 26 -9" C (omisit<br />

igitur T)- 23. 24. eiri TO E* Trporepov dpa xai TO Z eiri TO f<br />

TrapaYVTveTai fjirep om. D.<br />

36, 1. i A in marg., TBCD in I' marg., E. 3. 4. v<br />

juiqi irepiqpopa Tfjc cqpaipac om. D Da in una circumferentia<br />

,<br />

sphaerae Fa, in uno sphaerae ambitu Mau, in una sphaerae<br />

revolutione Au. 4. CTCU] fit Mau. 5. ABf] ABCK Au<br />

(idem paulo post pro AZE posuit ADFE, pro A G, et similiter<br />

in reliqua demonstratione litteras suo arbitrio elegit). 7.<br />

aiet ABCD, del E. 8. 6 aTe K\JK\OC ABCD, 6 aTai, omisso<br />

KUK\OC, E. 9. 6 6 ABCDE, punctum G Au, quod respondet<br />

Graecis TO A, neque tamen scriptura codicum mutanda est.<br />

12. TUJV ab ABE, distinx. CD. 13. TOO a^Y KOxXou ir6\ujv<br />

D. 14. eireibr^ E. ^KdTepoc A, IxaTepa et super a prima<br />

manu compendium syllabae oc B, exaT^pa CDE.<br />

38, 1 init. Zbr\ BCDE, Eo A. 1. TOV aTerj KUK\OV E<br />

(conf. supra p. 36, 8).<br />

2. apd cnv B. 3. TO I crmeiov<br />

Tr]V la extrema sunt in D fol. 70 recto; eodem folio verso re-<br />

petuntur Tf) er) Trepiqpepeia. ev i'cuj usque ad Tf)v "La, sed haec<br />

expuncta. 4. bieXeuceTCti] transibit Fa, percurrit Au. 7.<br />

post verba TO E Trapay^vriTai C addit haec: 6 $yQ Geciv ^Hei<br />

Tr]v abe* Ta yap r\ I crmeia qpapu6cei eirl TCI a ? Kai (sequun-<br />

tur i 5<br />

! Ibr] Trepicp^peia cet.). 7. 8. r 5<br />

] ZAH<br />

irepupe"peia eqpap|u6-<br />

cei ^Trl Tr]v AAE irepi^^pemv] et circumferentia DGE positionem<br />

habebit, veluti AGF; nam D et E puncta conveniunt congruuntque<br />

cum punctis A et F: et circumferentia igitur DGE


LIBRUM DE SPHAERA. XXXIII<br />

circumferentiae AGF congruet Au (conf. scripturam codicis C<br />

ad vs. 7 adnotatam et vide figuram apud Auriam expressam,<br />

quae longe distat et a nostra et ab ilia quam Graeci codices<br />

exhibent). 9. TOV 066 BCDE, TOV 066 descripsi<br />

ex A. 9.10.<br />

dXX' 6 a&0 KuxXov E (error scribae ex compendio, quod in archetypo<br />

fuerit, ortus esse videtur). 10. 6p06c ten BCDE.<br />

10. 11. xai 6 BAP $pa KUKXoc 6p06c ICTIV Trpoc TOV ABP KUK\OV<br />

om. B. 11. 6p06c cert CD, 6p96c /. E, 6p66c gcrai coni. Hu.<br />

16. f\ lbr\ ABE, I 5<br />

aliam nescio quam), if\ 2 6rj E.<br />

) lb C (litteram b duxit prima manus super<br />

40, 1. CTI BCDE Paris. 2364. 2. 6 BAP #pa] 6 r&Y pa<br />

E. 6p06c cnv A, opGoc ecriv C (Icriv compendio scriptum),<br />

6p06c ecri BDE (in E compendium vocis ECTIV), 6p06c cri<br />

Paris. 2364, 6p66c Serai coni. Hu. 3. Trd\iv bi] orav usque<br />

ad 7. TT\OV f| 6ic ecrcu om. BCDE Va Au (in codice Parisino<br />

Graeco 2364 etiam verba, quae hunc locum antecedunt, xal 6<br />

P&Y ^P<br />

~~<br />

6p06c ecri irpoc TOV apy in contextu omissa,<br />

sed eadem inanu in margine adscripta sunt; deinceps item<br />

in margine, scbolii instar, adiuncta sunt verba irdXiv bi\<br />

6Tav cet. , quae abesse a BCDE diximus). 4. 6ieX0u)v A,<br />

corr. Paris. 2364. 5. irapecrcu A, irapcrfevr]ceTai Paris. 2364.<br />

6. 6 jtoyo A, 6 per Paris. 2364, corr. Hu. e'Hei A prima<br />

manu partim in rasura ex etxev, ut videtur. 7. 61c] p" A,<br />

eiusdeni litterae earn formam quae Latinae u similis est cum<br />

compendii ductu exaravit et spiritum lenem (voluit accentum<br />

gravem) superposuit Paris. 2364, quam ad notana recentior manus<br />

in margine adscripsit 6ic. ecrai A, item Paris. 2364<br />

prima manu, in quo &cra\ mutavit recentior manus. 9. KU-<br />

K\OC (post Tf|C cqpaipac) om. B. 11. ia A in marg., la B in<br />

marg., la C in marg., Id D in marg., la' E. 13. jaeYiCTOC<br />

om. D Da. 14. aTrrr|Tai i\ a>v 6 opiZiuuv] aTTTTai i\ 6 opi^uuv<br />

D, om. Da. 16. aiv e9diTTTai ABDE, quos attingat Fa,<br />

quos attingit Mau, om. C (tangit scilicet is circulus qui modo<br />

aXXoc TIC XoHoc cet. appellatus est, non horizon, ut est apud<br />

Auriam f<br />

quos horizon tangit'. iroierrai ABCE,<br />

facit Va<br />

Mau, -rrou'icei D Da, faciet Au. 18. 19. 6 ABC] ABCE Au.<br />

25. TOU AA] ut ad. Va, AD Au, AAE coni. Hu. 27. 6 TZ]<br />

RK Au (qui in reliqua etiam demonstratione litteras suo ar-<br />

bitrio elegit et figuram plurimarum linearum farragine satis<br />

Autolycua.<br />

C


XXXIV ADNOTATIO IN LIB. DE SPHAERA.<br />

impeditam appinxit). 28. post drrTecGuj add. TOO ab D. TUJV<br />

A, distinx. BCE, TUJV Z fr\ D. 28. 29. f| oiv 6 ABf<br />

KuxXoc ecpdTrreTai om. D. 29. Td lr\ AB, distinx. CDE.<br />

42, 1. TCI Pr AB, distinx. CDE. Xeruuv<br />

OTI D. aid<br />

ABCD, del E. 2. dvcrreXei D s<br />

, dvaTeXXei ABCE. 4. Td eic<br />

AB, distinx. CDE, item vs. 5. 6. 6. 7. TUJV Xeju-vKH DE,<br />

ol \0 jur] K (sic) A, 01 X9 JLiv x2 BC, orbes per quos ferantur<br />

bk. puncta . nempe lb.mn.kx. Va, circuli TSQ et VMY, in<br />

quibus puncta Q et V ferantur Au. 7. eirel] xai eirei D. 8.<br />

aiei ABCD, del E. 10 13. buvei, TO be aiei bid j^ev TOO<br />

M dvaTeXXei bid be TOO om. D. 11. del E, itemque posthac<br />

(in aiei ubique consentiunt ABCD). 17. Tfjc ME] Tf|c H(u D.<br />

18. Tnc Xv C8 D S<br />

E, Tnc Xrj AB. 22. 6Xuuc 6 fr D. 25.<br />

iroieiTai] facit Fa, faciet Au. 26. ip A in marg. , Ip B in<br />

marg., IB C in marg., i$ D in marg., IJ3' E. qpepojuevov] delatum<br />

Va Mau, mobilem Da (unde f<br />

delatum aliquem seu niobilem'<br />

concinnavit Au}. qpepojuevov Tivd ABDDa, accentum<br />

corr. CE. 27. del Te|uvr) bvx E Ho. 27.28. juribeTepoc be]<br />

|ur]beTepoc be AB, accentum corr. CD, 6 be ^Tepoc E. 29.<br />

Tf]c (ante ccpaipac) om. Da. IcTai] est Au.<br />

44, 1. juevujv KuxXoc 6 ABP] manens seu fixns circulus<br />

ABCD Au. 2. TOV TAB] scilicet EBFD Au (qui in reliqua<br />

etiam demonstratione , itemque in figura, litteras suo arbitrio<br />

3<br />

posuit). 3. jui^beTepoc AB, jur)b<br />

erepoc E, corr. CD. 5. TUJV<br />

AfB TAB] TUJV apT, Y&P D, TUJV crfp E (omisit igitur alterius<br />

circuli notas). jue~YiCTOC ecTiv E. 8. TOU pby xunXou D.<br />

10. xevTpov ecTi AB, accentum corr. CDE. 12. aiei ecTiv D,<br />

dei CTIV E. 10. dHovoc ecTiv D, #ovoc ecTiv (sic) E. 17.<br />

|ur) ecTiv E. 19. eirel] xal euei D. dei E, item vs. 21. 20.<br />

ecTiv AE, e'en B, ecri CD. 21. KaTa TOU KUKXou TOU er) B.<br />

6 lv] KuxXoc dpa D. 25. ^'CTIV] -/.v E. 26. dpd ecTiv A,<br />

dpd ecTi B, dpa ecrl CDE. 27. xevTp6v ecTi A, xevTpov ecTi<br />

E, accentum corr. BCD 3 . 29. post Tf^c ccpaipac repetit TO "e<br />

CY]ueiov jur*) Y^pj 6XX' ei buvaTov e'cruj K^VTpov Tf|c ccpaipac D.<br />

46, 1. emZieuxQuJ A. 1. 2. dpd ecri T^C ccpaipac AB, ace.<br />

corr. CE, dpa rf\c ccpaipac ecrlv D. 2. exaTepov Y&P TUJV 6e<br />

AB, distinx. CDE. 3. dovoc ^CTIV A, dHovoc ecTi B, dEovoc


ADNOTATIO IN LIB. DE ORTIBUS I. XXXV<br />

cri CD, ace. corr. E. 4. KUK\OC kriv AB. 6 pb~Y D. 6.<br />

roO PY KUKXOU D. 8. 9. TOV "pbY KUK\OV D. 9. 10. 6 pbY<br />

KUKXOC D. 11. 12. 6 pbY dpa D. 12. 6p06c ten BCDE.<br />

14. K\/Tp6v ecri AB. 15. cube ABC, oub' E, compendium<br />

brevissimum ac vix perspicuum exstat in D. dXXo TI E,<br />

3<br />

dXX<br />

O'TI A, dXXo TI BC, dXXov TI D. 16. K^VTpov ecrt AB. 17.<br />

ev (ante IKCIT^PUJ) om. B. TUJV af^f PT& KUKXUJV D. 18.<br />

dpa cnv A. TUJV apY P&Y Ki)KXiuv D. in fine add. Te"Xoc<br />

TOU auToXuKOu irepi Kivouuvr}c cqpaipac B, TeXoc auToXiwou<br />

irepl xtvoujuevric cqpai ? D, T^Xoc E, T^Xoc TOO rrepi<br />

cqpaipac ACiToXtiKOU Da.<br />

48, 1. duToXOxou A, AuToXuKou E. 3. TO a A, om. C,<br />

a', omisso T6, E, trpuJTOV Da, TO irpajTOv Ho. 4. "Opoi add.<br />

Da. 5. a' E in marg., a Da, om. A C Laurent. XXVIII, 14,<br />

fol. 301. dcT^poiv C. 7. p" E in marg. Da, om. AC Lau-<br />

rent. TObv be] Kal TOJV Da Ho. ^uOa CEDa, two. A, et<br />

similiter in reliquo contextu ACE i subscriptum constauter<br />

omittunt, atque A spiriturn lenem ponit pro aspero (in adnotationibus<br />

tamen, quae in A ad figuras libri II theorematis VI<br />

etc. tenuissimis ductibus adscriptae sunt, spiritus potius asper<br />

quam lenis exaratus esse videtur). 8. dcTp6v TI E, itemque<br />

vs. 10. 12. 16. 19, p. 50, 2. 4. cuvavaTeXXei E. 9. Y' E in<br />

marg., Y Da, om. AC Laurent. 10. bi)Vi E. 11. b' E in<br />

marg., b Da, om. AC Laurent. djua TOU 7iXiou buvovToc AE,<br />

sole occidente Fa, statim occidente Sole Au, corr. C Da. 12.<br />

dvaTeXXr) A, cuvavaTeXXr) C (omissum i, quod subscriptum vo-<br />

cant, posthac non adnotabitur). 13. e' E in marg., ? Da,<br />

om. AC Laurent. 15. ST E in marg., g Da, om. AC Laurent.<br />

16. dvaTf]Xai Da, item vs. 18. TrpuVriuc AE Laurent., upuu<br />

cum compendio syllabae uuc C, irpuuTOv Da. 18. I' E in<br />

marg. Da, om. AC Laurent. 19. TrpiuTuic<br />

cum compendio syllabae ov C, Trparrov Da.<br />

AE Laurent., irptu<br />

buvo-\i A C E Da<br />

Ho, et sic posthac iidem constanter.<br />

50, 1. if\ E in marg., f| Da, om. AC Laurent. jueTci T6<br />

A, jueTd, omisso T6, C, |UTd et TO pr. m. super versum E. 2.<br />

bCvai C 8<br />

Ho, buvai AE Da, item vs. 4. 3. 6' E in marg. Da,<br />

om. AC Laurent. 4. dcrpov TI qpavr) buvov cxaTUK Da. 5.<br />

c*


XXXVI ADNOTATIO IN<br />

TTpOTdceic Da, Uporacvc a' E, oin. AC. 6. a AC in marg.,<br />

om. E (TTpoT. a. 6euup., et similiter posthac, Da). dcrepuuv<br />

Da. 7. ucrepou eici (id est eiav) A, ucrepai eia C, ucrepcu<br />

eici Da. 8. earepioi AC (quam formam edere non dubitavis-<br />

sem, si usquam in singular! ecrre'pioc reperissem pro ecirepia).<br />

9. irp6Tepai eici A Da (codex E non differt ab editione nostra,<br />

nam eiav, quod Ho ad hunc locum adnotat ex E, pertinet potius<br />

ad vs. 7, ubi E ucrepcti eiav habet perinde ac nos edidi-<br />

mus). 13. uiro yf|v CE, UTr6 rf\v A. 15. dcTp6v TI E (item<br />

posthac). 16. dXr|9wvi ecriv A, accentum corr. CE. 17.<br />

ecri CE. 19. 20. TO b CE, item A, nisi quod b prima manus<br />

ex 61 correxit. 20. ad rjXiou E in margine adnotat com-<br />

pendium


LTBRUM DE ORTIBUS I. XXXVII<br />

58, 1. TOU A] TOU a ACE, corr. Au (etiam Va notam d<br />

habet, sed totum hunc locum liberius vertit). 2. TOU rjXiou<br />

C. 9. TO<br />

f<br />

E, roO rjXvou < A, TOU<br />

tf', ut passim aliis locis,<br />

A] TO a ACE 7 corr. Au. 16. A f' in marg., Y C in marg.,<br />

r E. 18. ev dXuj (sic) A.<br />

60, 1. oubevl Ho. 2. I'Xaccov A. 3. opiSwv ACE, circulus<br />

Horizon Au. Zuubiaxoc ACE, item Eujbiaxou iidem<br />

vs. 24, et sirniliter posthac constanter sine i subscripts. 4.<br />

UTTO TI^V Y*W E. 5. dcTpov TI A, dcTp6v TI CE. 6. 7. a\Y\-<br />

0wr] earn buac] verus matutinus occasus nus<br />

Fa, occasus matuti-<br />

Apparens Au (sed eundern pro Apparens voluisse Verus<br />

docet definitio huius libri tertia apud Auriam f<br />

l)iff. 2 J<br />

in margine citata). 16. ou (ante qpaiveTcu) om. C. 21. post<br />

eviauTOu Auriae interpretanti r<br />

circumferentia enim EG semi-<br />

circulo minor est' addenda esse videbantur eXdcowv Y


XXXVin ADNOTATIO IN<br />

AC. 11. eiM 60cic A, idja fcikic (ut aliis locis) CE. 1215.<br />

verba xal irl usque ad b\' Xdccovoc forsitan interpolator quidam<br />

addiderit (contra recte se habent ilia quae similiter<br />

scripta sunt theoremate V extreme). 12. T


LIBRUM DE ORTIBUS I. XXXIX<br />

V)|LUKUKXIOV A, f| TIUI, superscripto compendio ov, sed eo punc-<br />

tis notato, C, y' E. 6 ri xHr| E, be f\ rjHK legisse videtur<br />

Au, oin. AC Fa. ri SKO dpa E, eadem legisse videtur Au,<br />

om. A C Fa. 6. 7. eXdcajuv ecTiv et compendium formae<br />

riuiKUKXiov (ut paulo supra) E, semicirculo minor est Au, om.<br />

A C Fa. 7. dpa (ante -irepiqpepeiav) om. E. 9. 10. ^TriToXfjc<br />

ewac qpawouvr|v buciv iroieiTCti 01' Xdccovoc E. 11. C A in<br />

marg., e C in marg., E E. 12. TUJV uu6iuuv KuxXou AC Da,<br />

item E prima m. in marg., u)6iai


XL ADNOTATIO IN<br />

dorpou b dXri0ivri E (dpcc compendio scriptum). 8. YiveToa E<br />

(sed posthac fiYveTCu cum AC). 11. iv<br />

diebus Fa,<br />

6'Xaic repaid] totis<br />

in integris conversionibus Au. 14. ev 6'Xaic i5))^<br />

paic] cunctis diebus Fa, in integris conversionibus Au. av<br />

T^VOITO] erit Au (qui supra p. 74, 14 pro eadem forma posuit<br />

'fit'), om. Fa. 15. cuvbuvai AC, ace. corr. E. 17. emToX^i<br />

E. fijuicouc E, i^iuiceoc AC. 20. bid ^(uiceoc AC, bi' Vnui-<br />

couc E. 21. 'YYICT(X add. Hu, quasi Au. 22. A in f^ marg.,<br />

rj C in marg. H E. 23. , kxdTnv crrep(av C (conf. p. 78, 12<br />

et 20. 80, 16), earepvav, ornisso cx(m]v, AE (idem legit Fa),<br />

c7repiav et in parenthesi<br />

f<br />

Alit. cxcm]v '<br />

Da, vespertinam<br />

postremam Au, aipiav ecxarriv Ho. 25. vuicrec Da.<br />

78, 3. Ta yea ACE. 11 14. Tourecnv usque ad -npoc<br />

TUJ H forsitan commentator quidam addiderit. 11. TOUT'<br />

ICTIV E. 18. rrpocavaTeXXei E. TOOT' ^CTIV E. 19. buvtuv<br />

ACE, corr. Hu.<br />

80, 2. ou om. C. 6. TOUTECTI C, TOUT' cn E. 9. TOU<br />

dpa] TOUT' ^CTIV apa E. 12. ou ante qpaivTai add. E. 15.<br />

A in marg^, C in -9-' marg., E. |uaXov A. 17. epdav<br />

TToieiTai ACE Ho , iroieiTai ^dcw Da. irXeiovac Da, TrX^ovac<br />

AC, irXeiovoc E. 18. eiirep Da.<br />

82, 2. alei Hu, del ACE. 3. acrpov 6e ACE, acrpov<br />

b TI coni. Hu. 4. TOU TUJV ^ujbicuv KUKXou] iis quae in cir-<br />

culo Zodiaco sunt Au (voluit igitur TOJV in\ TOU TUJV I. K.).<br />

6. -rrXeiovac Hu, TrXeovac ACE. 9. 6 Xr) 6|u A, coniunx. CE.<br />

10. Td bn A, distinx. CE. 11. Ta ct|up A,<br />

distinx. CE. 14.<br />

K(peuY^c0u) E. 16. irpoc TUJ ic C, irpoc TUJV bid TO' 0K A (id<br />

est irpoc TUJ K cum scholio bid T6 0'), Trpoc TUJ f[ E. 18. Td<br />

Zr\ A, distinx. CE. CTI CE. 19. diro AC, item E prima m. in<br />

marg., CXUTO E in contextu, sed id expunctum. Td brj A,<br />

distinx. CE. 19. 20. d-rro TOU A] diro TOU, omisso a, C. 20.<br />

Td aJ3 A, distinx. CE. Td Zr\ AE, distinx. C.<br />

84, 1. T) ante kirepia add. C. 2. ICTI CE. 3. Td lr\<br />

A, distinx. CE. 5. gcnv E. 8. OUTTUJ CE. 12. f' A in<br />

marg., i C in marg., I' E. 14. TOO TUJV iub(ujv xuxXou] quam<br />

quae sunt in circulo Zodiaco Au (conf. supra ad p. 82, 4). 15.<br />

wv] Horizon circulus Au. 16. cuel Hu, del ACE. 6<br />

AC, 6 Z$Y E, idemque legit in suo codice Au. 17. Td


LIBRUM DE ORTIBUS I. XLI<br />

r\Q A, distinx. CE. 19. verba TOUT^CTIV usque ad 86, 2 oucic<br />

3<br />

interpolata esse docet structuraeinconcinnitas. 19.ToOT ^CTiv E.<br />

86, 1. Y] post TOU |uv ff om. E. 2. TLUV rjG A, distinx.<br />

CE. 4. oi] ot 6e E. 4 8. LUCT usque ad rrl T^V buciv]<br />

Cum codicum Graecorum scriptura fere consentit Au, cuius<br />

interpretationem Graecis litteris restitutis pro Latinis, quas ille<br />

posuit, hie repetimus: f<br />

ut semicirculus Kr]\ non concurrat cum<br />

semicirculo, qui a puncto a inchoat, et ad partes y proficiscitur:<br />

et semicirculus bK0|u item non concurrat cum semicirculo,<br />

qui a puncto a incipit, et ad partes 3 tendit: scilicet ut semicirculus<br />

r] tendat ad ortum, et semicirculus 06 ad oceasum'.<br />

Nos in Graeco quidem contextu codicum scripturam servavi-<br />

mus, sed in Latina interpretatione duos, de quibus agitur, semicirculos<br />

singulis litteris mutatis notavimus (v. p. 86 adnot. 4).<br />

6. 7. f ,uepr| usque ad LUC liri TCI om. C. 7. TOUTCTI C, roOr'<br />

e'en E. 8. eirl Tr)v (ante avaToXrjv) om. C. 11. 12. i'ai -f\<br />

(u E (sed paulo post recte Kai if] LI). 12. eirei bt Kai E.<br />

'<br />

14. 15. Kara OV OH-O ^CT! C. 15. TO H] T6 ic E. I'CTI E<br />

prima<br />

m. ex ecTai.<br />

88, 3. TLU N] TLU f) C. 5. Tf]v ZYV CE (idem in suo co-<br />

dice legit Au), TT^V Z*f A. 8. bidjueTpov kTi E, compendium<br />

(ut supra) et cnv (item compendio scriptum) C. 11. TLU E]<br />

TO) I E. 13. Tr]v Z$Z CE (idem legit Au), Tr]v v^l A.<br />

dvaTeXXov AC, idem ex avaT^XXuJv corr. prima m. in E,<br />

17.<br />

m-<br />

TeXXov Autolycus scripsit supra p. 56, 18. uuc<br />

8 C E, ^uuac A,<br />

(uexpi Autol. 1. c.<br />

TO<br />

90, 2. TLU<br />

K apa<br />

be H TO K cuvavctT^XXei coni. Hu. Kai ante<br />

add. Hu coll. vs. 9. 10. 3. ^Kdcrrjc Tf]C VUKTOC E.<br />

6. e'uuc CE, gmc A, ]u^xpi Autol. supra p. 58, 17. 8. CE (Au), Ti\v ZyZ A, item vs. 11. 9. 10. TO &<br />

Tr;v "spZ<br />

dcTpov usque<br />

Hu.<br />

ad buvov om. C. 9.<br />

13. oiGuropeueTai<br />

TLU bi acTpuj TO K cuvbuvei coni.<br />

E. T^V Zfv AC prima m. in rasura,<br />

TI*)V vy E. 15. xai ^avepov C prima m. in rasura. 16.<br />

Tiiyv Sf&fv AC, TI'IV 0Yv E (idem in codice suo legit Au). 17.<br />

X


XLII ADNOTATIO IN<br />

94, 1. Til)v ri 6v AE, TUJV r^H ov C. dva (sine accentu)<br />

A. 3. CTI CE. Kcn-pa ora. C. 6. ict A in marg., m<br />

C in marg., Id' E. OuGev ACE Da, Oubv Ho. TUJV iu-<br />

biuuv erri TOU TUJV luubiuuv E, sed prius Zujbiuuv expunctum. 7.<br />

i^uicqpepiov et prima m. ai super<br />

6 A. 9. TravTairaci CE Da<br />

Ho. 9. 10. evb^x r l Tai 6qp6eivai Da. 12. 6piuuv] circulus<br />

Horizon Au. 13. TCI abY A, distinx. CE. 17. Tiva b TUJV]<br />

sed aliquod astrum eorum Au. 18. qpep6|uevov E.<br />

96, 1. "Ecruj Yp] Sit vero Au. TO bej CE, T6 b JF A.<br />

2. TCI OOY A, distinx. CE, astra quaedam ADC Au. 3. TCI<br />

ante ircl TOO om. C. rrl TOO ZXubiaKou] in circulo Zodiaco<br />

Au. 4. dvaT^XXei Te xal 6uvei Eucl. phaenom. 6, et oriuntur<br />

et occidunt Au. 5. TOO apa 6 buvovTOC CE (Au),<br />

b om. A.<br />

6. bep AC, item E in marg., 6 JJ E in contextu, sed ea ex-<br />

puncta. 9. TG\ ab A, distinx. CE. 13. Ta yb A, distinx. CE.<br />

14. IvbfyeTai Tiva ACE, item vs. 16. 17. 17. UJG TOV TH] veluti<br />

CF Au (voluit igitur UJG T6v TZ). 20. post qppeTCu 6 f^Xioc<br />

add. C fivTiva Trepi^^pemv bi^pxeTai 6 fi\ioc (voces ueptqp^peiav<br />

et f^Xioc compendio scriptae). 22. fp A in marg., ip C in<br />

marg., Ip' E. 22. 23. GOTO lubac dvaToXf|C dXr|8ivfic, OKX cet.<br />

E. 23. YiveTat ACE Da Ho. 24. 25. CTIV ^juicouc eviau-<br />

TOU 6 XP VOC Da - 25. hoc inquam tempore aliquod astrum<br />

et orietur et occidet Au (sed paulo post p. 98, 2 sq. idem con-<br />

gruit cum Graeca scriptura interpretans astrum neque occidet<br />

neque orietur}.<br />

98, 1. bucr]TCu Da, item proximo versu. 2. Tcov ace. corr. C. 3. imp yf\v<br />

AE,<br />

E. 5. Triv (sine accentu) C.<br />

6. dcTp6v TI E. 8. YiveTCtt E. 10. X^Y^ br\ usque ad 12.<br />

eviauToO om. A. 13. 14. d. astrum et occidet et orietur<br />

astrum D et orietur et occidet Au. 15 17. dXXov b<br />

Fa,<br />

um><br />

Yfiv om. Fa.<br />

D neque<br />

16. Icov AE, ace. corr. C. 16. 17. astrum<br />

orietur neque occidet Au. 18. Yp oro. C. 21.<br />

^TTiToXfjc A, om. C, buceuuc ^TriToXfic E, sed bikeuuc expunctum.<br />

ecTi CE, cri A. ja^xpi E. 22. dpa om. E. 23. crlv 6<br />

Xp6voc A, item C, nisi quod ^CTW per compendium et sine ace.<br />

scriptum est, cri xp^voc E. 25. alet C, del AE.<br />

100, 3. dvcnr^XXei E. 4. bictTropeuYiTai E, biaTropUTai<br />

AC. 5. TT>)V Y AE, TYIV IT C. 7. dvcrreXXei ACE, oritur<br />

Au (praesens tuetur similis locus infra p. 104, 26, quapropter


LIBRUM DE ORTIBUS I. XLIII<br />

etiam p. 104, 16 dvca^XXei cum E non dvare\i cuin AC<br />

edidimus), oriens quidem Va (coniunctuin cum sequent! appa-<br />

rebit). 11. iJuc TOU a buvovroc C, quod A occidente Au (recte<br />

f d. occidente' Va). 12. TI CE, item A, nisi quod T in ra-<br />

sura pro CT, ut videtur. 15. bmiropeueTai E. 18. 19. buvei<br />

usque ad TO A ctCTpov om. C. 18. buvrj E. 20. TOO dpa<br />

i*|Xiou usque ad 21. T6 A dcrpov om. C. 21. 22. astrurn D<br />

et orietur et occidet Au, d. astrum neque occidit neque oritur<br />

(sic) Va. 23. imo ^r\v] v TUJ UTTO ^f\v coni. Hu coll. p. 102,<br />

7 sq. (sub terra Fa, qui aliis locis Graeca v TUJ UTTO YY\V,<br />

f<br />

in<br />

eo quod sub terra' vertit ; at Auria OTTO yf|v et ev TUJ UTTO ^f\v<br />

perinde f<br />

sub Terram' interpretatur). 23. 24. astrum D neque<br />

orietur neque occidet Au, d. astrum neque oritur Va<br />

(omissis reliquis). 24. TOU r^Xiou OVTOC v TUJ UTTO Y*lv s le<br />

]<br />

existente in eo quod sub terra Va, Sole praesertirn sub Terram<br />

existente Au, del. Hu. 25. 'Eirei YpJ narn quoniarn Va,<br />

Et quoniam Au. 26. Y*lv ^ CTl C, YHV ctcTpuu ^CT! E, sed<br />

dcrpuu expunctum. 27. dvaT^XXri AC, et A quidem eodem<br />

calami ductu ex dvcnr^AAet, quod ipsum in E etiamnunc exstat.<br />

28. bicmopeueTai E.<br />

102, 1. post TO |u^v 2ae compendium formae uepiqpepeiav<br />

add. E, sed id ut spurium notatum. Y^V ^CTI 6. d. astrum etiam occidet et orietur<br />

C, YHV Va, astrum D et<br />

^CT ^ JE.<br />

orietur<br />

et occidet Au. 8. d. astrum neque occidet neque orietur<br />

Fa, f<br />

astrum D neque orietur neque occidet: Quare etc.' Au.<br />

9. I~Y A in marg., IY C in marg., IY' E. 10. Y^veTCtl ACE<br />

Da Ho. 11. irXeiov Da. 12. 13. hoc inquam tempore aliquod<br />

astrum neque orietur neque occidet Au. 13. bucnTcu<br />

Da, item proximo versu. 14. Tcov AE, ace. corr. C. 14.<br />

15. KCU buceTdi KCti dvaTeXXei TO dcTpov E, astrurn et orietur<br />

et occidet Au. 16. 6pvujv] Horizon circulus Au. 6 otp YO<br />

A,_coniunx. CE. 17. UJG ante TI'IV AEfZ add. Hu. 19. TCI<br />

ojto A, distinx. CE. 21. Y^vcTai E. 23. kTiv orn. E. 24.<br />

astrum B neque orietur neque occidet Au.<br />

104, 1. Tcov AE, ace. corr. C. 2. astrum B et orietur<br />

et occidet Au. 8. X^YW] Dico iam Au (voluit igitur X^w<br />

9. 10. astrum B bi-\).<br />

neque orietur neque occidet Au. 15.<br />

T^V Y (ante 6taTropeuo|uvou) CE, TT^V Y A (sed idem paulo<br />

ante T>IV "yT). 16. dvaT^XXei E, dvcrreXei AC_(couf. ad<br />

p. 100, 7). 17. i'cr| T A, ace. corr. CE. 22. TO ^oe, oniisso


XL1V ADNOTATIO IN<br />

be, E. 25. were mi Hu,<br />

xcd were xai ACE. TOU ante<br />

apa r^jXiou om. E. 27. ou . ^avrjcerai be" AC, ou (paiveTCti be"<br />

E, at minime occidere videtur Au (voluit igitur post be addi<br />

bOvov). 28. 29. astrum B et oritur et occidit Au.<br />

106, 1. astrum B neque orietur neque occidet Au. 3.<br />

astrum B et orietur et occidet Au. xcd buceTCti AC, OUTC<br />

buceTca E, sed oure expunctum et xai prima m. superscr. 5.<br />

ff\v ecri E. 8. ujcre xai per versum.<br />

14. astrum B<br />

TKJV AC, item E, nisi quod xal su-<br />

etrei AE, em C. 9. ecTiv (sine ace.) C. 13.<br />

et orietur et occidet Au. 14. in fine add.<br />

auToXuxou Trepi eiriToXOuv xat buceuw a C, T^Xoc TOO a ov pip^ E,<br />

TOU TTpUJTOU (SIC) 1Tpi ^TTITOXOJV Kttl OUC6UJV AuTOXlJKOU Dtt.<br />

106, 17. TO A Da (sic) Da.<br />

Ho, om. CE.<br />

18. d A in marg., a C in<br />

AC, p' E, &


LIBRUM DE ORTIBUS II. XLV<br />

in medioque ipsius sit Sol Fa, et in ipsius media, sci-<br />

licet in puncto H, sit Sol Au (voluit igitur post ai)Tf|c addi<br />

TOUT^CTI Kara TO Z, nanique in figura sua inter D et E id<br />

est 6 et e ponit H id est I similiter ac Graecus codex<br />

E in figura ad propos. 3). 11. irepup^peux] compendium formae<br />

Ttepiqpepemv legitur in E. 13. yap om. E. TIJUICOUC E.<br />

13. 14. urrep f]|uicu Zitubiou Trepiqpepeiac dtrexouca] supra dimidii<br />

signi circumferentiam distans Fa, supra dimidium Zodiaci circuli<br />

nianens Au. 19. 20. imep fijuicu iybiou irepiqpepeiac dir-<br />

exouca] supra dimidii signi circumferentiam distans Fa, supra<br />

dimidium circuli Zodiaci circumferentiam habens Au.<br />

112, 1. Y A in marg., Y C in rnarg., V' E. 1. 2. evbexa<br />

ZuuMuuv lojbia OeujpeiTca Da, undecim signorum circurnferentia<br />

cernitur Fa, undecim Zodiaci Signorum circumferentiae con-<br />

spiciuntur Au (voluit igitur irepicpepemi GeuupouvTat). 2. 3.<br />

sex quidem praestructormn, quinque vero orientium Fa, sex<br />

quidem earum, quae ante exortae sunt: quinque vero earum,<br />

quae orientur Au : (scilicet circumferentiarum at in Graeco con-<br />

textu agitur de signis ortis vel orituris). 4. 6 KUK\OC 6 ap<br />

E. 5. 2!Lu6iou om. E. 9. 10. iri TOU Z TOTTOU] in f. loco<br />

Fa, in F puncto Au (voluit igitur iri TOU Z cruueiou). 10.<br />

6r|\ovoTi A, 6r]\ovo C, distinx. E. 11. qpatvo|a^vr|v om. CE<br />

Au. 12. in Ya & cum AC consentit E, nisi litteras<br />

quod ante has<br />

habet expunctas *fab. 13. XoiirOuv Hu, XOITTOV ACB;<br />

f<br />

Reliquum igitur est, ut' etc. Fa, liberius etiam Auria inter-<br />

f<br />

et reliquus igitur CBD semicirculus , quoniam sex<br />

pretatur:<br />

etiam Signa continet, et CE unum, occupatur sub Solis radiis'.<br />

15. im6 TOU i^Mou om. C. TT^VTC AE, e C. 16. dvctTeXXovTCx<br />

kTiv A, dvcxT^XXovTa ecTiv E, ace. corr. C. Zvjbia. E, signa<br />

Fa, Zodiaci signa Au. 17. 6 A in marg., 6 C in marg., 6'<br />

E. 20. bicarevTaurjvou E, 6m TrVTdur]vov Da. 24. acrpa<br />

TC( |u9v A, distinx. CE. X


XLVI ADNOTATIO IN<br />

A in marg., e C in inarg., e' E. olxoOciv E. {topeiav Da<br />

Ho. 13. |uev om. C. 14. 6 KY\ X6 A, coniunx. CE. 15.<br />

dcTpov TI A, dcrp6v TI E, ace. corr. C.<br />

116, 1. fijuicu AE, I'nuicu (sine ace.) C, i^juicouc coni. Hu<br />

(eonf. ad vs. 19).<br />

ratur Va (apud<br />

4. TrpoceiXrjcpGuj Hu, irpoeiXriqpGuj ACE, aufe-<br />

quern in hac extrema versionis parte errores<br />

plurimi occurrunt). 5. f] vo CE, ^ v9 A, non (sic} Va. 6.<br />

Kal ^ EO usque ad 7. ZiuMou om C. 8. djua ecriv AE, ajua<br />

ecri C (ajiia h. 1. similiter abundat ac paulo post vs. 16). 9.<br />

dpa] oOv E. aiei AC, del E. 10. -n^v v\r\ K0v AC, coniunx.<br />

E, nig. khn. Va, extremum v del. Au. 17. d|ua dpa aurou E.<br />

post cuvbuceTai oCv add. Tt C. 18. TI (ante TUJ 0) C, TI A,<br />

om. E, 19. rmicouc Hu (conf. p. 118, 5. 6), fiuicu ACE.<br />

118,1. TO b v AC, Kai TO v E. 2. buvei 60vei] occidit<br />

oceidit Fa, occidet occidet Au. 3. ^ju^pac compendio<br />

scriptum in C. 4. e'cro) r| pH A, ECTUJ r) p2 CE. 4 extr. f\<br />

po AC, 1s<br />

! pc E. 5. if] dpa Eo C, V| dpa lo A, \'ai dpa V) Ho<br />

E (in quo paulo infra ICY] cnv perinde legitur atque in AC).<br />

6. ecri C, ecri E (uterque antecedente compendio vocis trepiqp^peia).<br />

xal r\ prr CE, item A, nisi quod p prima m. su-<br />

perscr. 7. Trepiqpepeid kTt E, compendium vocis Trepup. et<br />

turn ^CT! C. 9. 10. Kal cuv6uvei auTtu TO M cet. liberius sic<br />

vertit Au: 'verum et cum ipso etiain N simul occidit astrum<br />

M: quare astrum M occasu matutino occidit: Atque occidet<br />

etiam Sole manente in T puncto: et hoc semper' cet. (tota<br />

demonstrationis clausula liberius composita est apud Va). 11.<br />

aiei AC, del E. 12. 6'Aov TOV KUK\OV]<br />

14. 4 A in marg., f C in marg., %' E.<br />

totum Zodiacum Au.<br />

c<br />

EKdcrujv Da. 14.<br />

15. Vnaqueque (sic) stella in signifero posita Fa, Unumquodque<br />

ex inerrantibus astris, quae in circulo Zodiaco sita sunt<br />

Au. 14. erri u)6iaKoO omisso , TOO, E. 16. irapaYiveTOi E<br />

Ho (at in TrapaYiTveTai E cum AC consentit vs. 17 etp. 120, 23).<br />

17. irapaYiveTai Ho. 20. ^jue'pav E. X AC, X' E, TpidKovTa<br />

Da Ho. 21. buvov ACE Da Ho. 23. irapaYweTat E Ho,<br />

item vs. 28. 26. X AC, X' E, TpidxovTa Da Ho. 28. bid<br />

irevTajurivOuv Da.<br />

120, 2. Ziubiaxoc 6e 6 PA] Signifer autem cd. Fa, Zodiacus<br />

circulus sit CD Au. dcTpov TI A, dcrpov TI E, ace. corr.<br />

C. 9. dvaToX^v E. 15. KOIVT^ r] Xe AC, KOIV^J r] 6e E, et


LIBRUM DE ORTIBUS U. XLVII<br />

communis le. Fa, communis ponatur<br />

circumferentia LE Au.<br />

ICY] cnv AC, CTW icrj E. 17. ^iriT^XXov coni. Hu. 19. aiel<br />

AC, del E. 6 ante fiXioc om. A. 20 22. cumqne fuerit<br />

in f. et abfuerit dimidii signi circumferentia cf d. astrum ve-<br />

spertinum ortum facietFa, Sol autem cum ad F punctum venerit<br />

et per circumferentiam CF distaverit ab Horizonte, quae<br />

sit et ipsa etiam dimidium signum, astrum D ortum vespertinum<br />

facit Au. 24 p. 122, 10. TT^VTE Yp iubiujv usque ad<br />

finem propositionis repetit C in margine (quam scripturam C m<br />

notabiinus). 24. r] X2 9"" C m . 25. Eujbia biatrevTaurivou E.<br />

122, 1. or] om. C m . 2. TrpOTacLuc AE, -rrpo et compendium<br />

litterae T cum terminatione LUC C. Tr)v YH ACC m ,<br />

Tr)v Iff] E. 3. iroiet Hu pro Troievrcu (conf. vs. 8). 4. bid<br />

^luepujv X C, bi' vijuepLUv ,<br />

X Cm 61' r^epuuv \' E. 5. iiti re<br />

rriv r\Q C m . ir^vTe ACE, e Cm. ruubiuuv corr. E prima < m.<br />

ex Suubiou. 5. 6. Tf)v ^cirepiav buav Tioiei TUJ A acrptu] ve-<br />

spertinum occasum facit d. astro Fa, ipsum D astrum facit occasum<br />

vespertinuni Au. 6. iroieT Hu pro iroieiTat. 6. 7.<br />

|UT]va)v e. TidXiv 6^ ir\v 66e Cm . 8. 9. Tr)v Ituav dvaToXr]v<br />

iroiei TUJ A aarpqj] matutinum ortum facit d. astro Fa, astrum<br />

D facit ortum matutinum Au. 8. iroiei ACE, TroieiTCxi Cm .<br />

9. bi 3<br />

. r),upOuv E,<br />

6ia (fa Cm X ACCm X' E. 10. bieiav<br />

,<br />

AE, 6ieia C, bidpxerai C m . 11. 2 A in marg., I C in marg.,<br />

Z.' E. Cuncta quae a signifero comprehenduntur Fa, Quaecunque<br />

astra comprehenduntur sub Zodiaco circulo Au. 13.<br />

14. TL)TTO TOO CujbiaKoO post 7ri Ta irpoc |uecr||uppiav transposuit<br />

Da. 14. 0uai A (ut reliquis locis), ^Cuai E (ut reliquis locis),<br />

0uoi C, ^uuai Da (ut aliis locis).<br />

124,1. in dcrpov Tt cum AC consentit hoc loco etiam E.<br />

m Tf]C dvaroXfic] in ortu Fa, in Oriente Au. 2. popeiojepov<br />

AE, popei et compendium syllabae ov C. 4. TO f] AE, TUJ<br />

f] C. 5. TLU (ante KCXI ECTUJ) E, TO AC. 7. r) eX AE,<br />

1 s<br />

! eo C. 17. TO e AE, TO F C. 18. xod T6 Y\ ACE, et k.<br />

Fa (id est xai TO K), quin etiam astrum E occidit Au (apud<br />

quem E locum Graecae rj obtinet), del. Hu. 19. 20. cuv-<br />

buvei TP TO H TLU 0] nam occidit h. cum g. Fa (id est TO<br />

TLU fj), om. Au. 20. dXXd xcd etri TOU K OVTOC] Caeterum in<br />

k. existente Fa, sed Sole manente in H puncto Au (apud quem<br />

H respondet Graecae K). 21. bieiav AC, btaTropeueTcn E.


XLVIII ADNOTATIO IN<br />

126, 3. 4. Rursus sit in ortu magis in austrum m. astrum<br />

Fa, Rursus sit in oriente astruin M, meridiem versus Au. 4.<br />

uev (ante A dcrpuj) om. E. 5. dvaT^XXov E, oriens Au, dva-<br />

TeAXovTi AC, oriente Fa. 6. TO |Ci A, TO b CE (voluerunt<br />

TOU 6). cuvbuceTai] pariter occidet Fa, simul occidat Au.<br />

10. 11. TO uev T AC, TO juev Hrj E. 11. dpa Hu, be ACE,<br />

at Fa, et contra Au (de |uev vs. 11, cui nullum be respondeat,<br />

cf. vs. 4). 12. 13. em Td o C. 13. 14. Caeterum etiam in<br />

k. existente matutinum oritur Fa, sed et Sole existente in H<br />

puncto ipsum astruin M matutino ortu oritur Au (cf. supra ad<br />

p. 124, 20). 14. e*XaTTOv ACE.<br />

128, 3. TrapecTOti] aderit Fa, pervenit Au. 4. eiuav E<br />

(et sic posthac). 5. TI A in marg., rj C in marg., rj' E. 5.<br />

6. Quaecunque astra ex Occidentis parte<br />

sub Zodiaco conti-<br />

neutur Au (voluit igitur buceic pro dvaToXdc, sed repugnat ea<br />

quae in Graecis sequitur constructio). 8. ZiiubiaKoO Hu auctore<br />

Au, biauecuuv A, bid ue"ca)v CE Da Ho. 9. exeivuj (sic)<br />

Da. ai earepicu E Da Ho, at ecu^pvoi AC. 12. dcTp6v TI<br />

E. 15. cuvbikeTdi] occidat cum Au (sed idem p. 130, 12<br />

recte futurum f occidet' posuit). TUJ 0] cum astro F Au<br />

(apud quern F ipsi 6 respondet), TO ACE. 16. KCU duei-<br />

XrjcpGuu] assumaturque Au. 17. eirei] euei ouv E.<br />

130,4. eirl TOV) T CE, em TO X A. 12. were cuvbuceTai]<br />

immo cuvbuceTai dpa, nisi forte ante lucre quaedam exciderunt.<br />

13. xai direiXricp6uu] assumaturque Au. 19. eirl TOO A] in H<br />

loco Au (voluit igitur em TOU X TOTTOU). 22. KOTOI be TOU N]<br />

KaTct be TOU v T6irou voluit Au. ^ Xyv AC, ^ yXv E.<br />

132, 3. 6 A in marg., 9~ C in marg., 9' E. 5. dEei e"ei E, dyei<br />

AC,<br />

Da. 5. 6. TOW em Td v6Tia TOU tujbiaxou] quam<br />

Meridionales Au. 7. 8. Sit<br />

quae sub Zodiaco sunt ad partes<br />

Horizon circulus ABCD, Meridianus circulus sit quideni AB Au.<br />

7. 6 af^fb ACE Au (vide superiorern adnot.), corr. Hu. 9.<br />

Itubiujv 6 "fb AC, Zliubiuuv xuxXoc 6 ybe E, Zodiacus sit CDH<br />

Au (voluit igitur Zuubiuuv 6 ybe). 10. 11. 6 r|6 ACE, qui sit<br />

EGF Au (voluit igitur 6 Oxn). 12. Td rjx A, distinx. CE.<br />

16. dSei coni. Hu (conf. vs. 5. 22. 24). 17. ecrlv Td H K Hu,<br />

ecriv Td f]. A, ecTl Td rj e CE, sunt astra, alterum quidem F:<br />

et alterum H Au (apud quern litterae F et H Graecis rj et e


LIBRUM DE OKTIBUS II. XLIX<br />

respondent). popiuurepov E. 18. voTiorrepov<br />

o TO K add.<br />

Hu, quam ipsum H Au (voluit igitur addi TOU e). 19. Xdccova<br />

xpovov ] ideo minor! tempore Au (voluit igitur eXaccova<br />

dpa xp-)- 20 - ^ CTiv AE CTl c - TCI ek > AC, Td e f] E, et<br />

alterum H, et alterum G Au (voluit igitur Td e K). 21. (3opiuuTepov<br />

E. voTiuuTepov b TO K] quam astrum G, quoniam<br />

astrum G meridionalius est Au (littera 6r, ut modo adnotavi-<br />

mus, respondet Graecae K). eXdccova] igitur minori Au (voluit<br />

igitur eXdccova dpa). 23. crfei (ante TO H dpa) Hu, dtei<br />

ACE. 24. dei CE, dyei A.<br />

134-, 1. i A in marg., t C in marg.,<br />

I' E. 2. edv Hu<br />

coll. propos. 13. 14. 16. 18, otc ACE Da Ho. 3. direxr) Hu pro<br />

d-irexei. aiJTOic delendum esse videtur: conf. propos. 13. 14.<br />

16. 18. 4. enrroXfic AC Da, dvaToXf^c E Ho. 5. irapayiTvriTai<br />

Da. btaTrevTaiarivou E, item vs. 10. 6. KOI TOUTOV<br />

TOV xpovov dvaTeXXovTa 6eu;pri0r)C6Tai scholii instar repetit C<br />

in marg. fol. 154 r . 7. 8. bid irXeiovuuv f| TpidKOVTa r^juepujv]<br />

pluribus diebus quam triginta veniunt Au (voluit igitur addi<br />

7rapaYiYveTai )' 10. 6id TrevTa)ur]vou] quinque mensibus veniunt<br />

Au (conf. priorem adnot.). 11. 6pa0r|ce.Tai ACE Da,<br />

6qp0r)C6Tai Ho. 12. ^XOTTOVDUV A Da, item C, nisi quod accentus<br />

acutus et exitus LUV in unum compendium colligati sunt,<br />

Xaccoviuv E Ho. 14. opilwv 6 a^y E, Horizon circulus AB<br />

Au. 18. TO be e E. 2325. f\ dpa v)iroKetc0ai] pro his<br />

scribi oportuit xai ecTcu ri HA Tiepiqpepeia ^XaTTUJv ^(uicouc 2tu-<br />

6iou (conf. p. 135 adnot. 3). Auria sic interpretatus est f<br />

Est<br />

igitur FD' id est HA f<br />

minor dimidio Signo: Hoc enim<br />

in ipsa propositione supponi voluit Auctor: et auferatur' cet.<br />

136, 3. post irepiqpepeia -f] repetit C verba 60- Kai CTI r 5<br />

) iqf<br />

et cetera usque ad -rrepicp^peia rj. 16. 17. xai cnv f) OK TrevTe<br />

jarivOuv] haec Graecus scriptor brevius composuit pro hisce fere<br />

verbis: Kal cnv f\ 0K irepicpepeia TT^VT ZUJ&IDUV T6 dpa E dcTpov<br />

Tiqv 0K bi^pxeTai oid irevTajurivou. Eadem Auria vertit c<br />

atque est<br />

f<br />

circumferentia HG' id est KG quinque Signorum: quinque<br />

mensibus igitur astrum E illam percurrit'. 23. xal ^CTI juei-<br />

Iwv Zitubiou] haec a Graeco scriptore, similiter ac supra, bre-<br />

vius scripta sunt pro hisce fere verbis: Kal ecnv ^ KfM irepiqp^peia<br />

lueiSujv Tujbiou- TO dpa E dcTpov Tfiv KfM biepxeTai bia<br />

TrXeiovuuv f| TpidxovTa ^jnepuuv. Eadem Auria vertit f<br />

atque est<br />

f<br />

HCM' id est KFM circumferentia maior uno Zodiaci<br />

-f]<br />

Autolycus.<br />

d


L ADNOTATTO IN<br />

Signo: Quare astrum E pluribus quam triginta diebus illam<br />

pertransit'.<br />

138, 3. Tiqv ]Sv CE (An), Trjv jorj A. 4. i 5<br />

) jlv CE (Au),<br />

haec Auria<br />

Y] jorj A. 4 6. xal cnv f<br />

liberius interpretatur atque<br />

>i MN qj6iou] est circumferentia MN quinque<br />

Signorum: quinque igitur mensibus ilia percurrit: Denique<br />

ab occasu<br />

E pervenit,<br />

vespertine<br />

quando Sol<br />

ad ortum matutinum<br />

circumferentiam NDG'<br />

tune astrum<br />

id est NAG)<br />

f<br />

pertransit: et astrum E etiam occultatur: est autem circumferentia<br />

NDG minor quam integrum Zodiaci Signuin'. 7<br />

ia A in marg., id C in marg., la' E. 8. post ZiubiaKoO<br />

omissa esse videntur Kara Tdc dvaToA.dc. ^KEVVOIC ACE Da Ho,<br />

cum his Au (conf. propos.|15. 17), del. Hu coll. prop. 12. 9. cuvavaT^XXovTa<br />

Da Ho. dTi^xei E Da. 11. ^xo^iv AC, TTOJUvrjv<br />

E Ho, consequentem Au, *xouvr|v (Alit. ^Trou^vr)v) Da.<br />

iroincr]Tai<br />

Da Ho.<br />

Da.<br />

12.<br />

12. 5ia ^Xacc6vujv Da.<br />

13. Tr]v ^crrepiav 6uav eiTa<br />

"X ACE, TpiaxovTa<br />

om. E. 13. xpu-<br />

\\i\v T A. 14. eiri TOU uj6iaKou] in circulo Zodiaco Au.<br />

15. 6piu)v] Horizon circulus Au. 16. Ta oe 16.<br />

A, distinx. CE.<br />

17. xal TO. E &UVTUJ] atque astrum E simul quidern oria-<br />

tur cum astro D, non autem simul occidat: sed prius occidat<br />

astrum E Au. 18. cuvbiivei] occidat Au. 19. r) o"pa ZA<br />

cet.] conf. supra ad p. 134, 2325. Xdcajuv E.<br />

140,<br />

3. I5<br />

) ffpc E (Au), i 5<br />

) YK<br />

AC. 4. fiTe o\ E, i\ TO 5X<br />

A, if] b\ C. 12. irl K, omisso TOU, E. 15. 6id|UTpov 2!,<br />

omisso TO, E. 17. Kal (ante TO E) super vs. add. A prima<br />

m. (in contextu habent CE). 23. irapaYiTveTai] pervenit<br />

astrum E Au (voluit igitur addi T6 e dcTpov). 24. fi\ioc |u6\,<br />

omisso Tr]V, E. oveici C. 26. fp A in margv ip C in marg.,<br />

Ip E. 27. Tac (ante dvaToXdc) om. Da.<br />

142, 1. iav Hu, iLv AC Da Ho, om. E. dn^xei ACE<br />

Da Ho. 2. c7repia E, kirepia Da. 5. 6 6 TUUV uu6iu)v<br />

ACE (sed in C addita est nota lacunam significans; librarius<br />

igitur KUK\OC addi voluit), Zodiacus circulus Au. 7. TUJ A<br />

cuvavaTeXX^TU)] simul cum D oriatur, non autem simul occidat<br />

Au. 8. cuv&uvei] occidet Au. 9. cd C. 10. kTi CE.<br />

22 25. TO E Icir^piov dvaT^XXei usque ad TOU dpa r|Xiou ^rri<br />

TOU K SVTOC om. C in contextu, sed in marg. add. prima m.<br />

22. ciT([piov C prima m. in rasura.


LIBRUM DE ORTIBUS n. LI<br />

144, 1. Tf) dpa usque ad e dcrpov C prima m. in rasura.<br />

1.2. or


LII ADNOTATIO IN<br />

usque ad iroiouue'vujv interpolator! tribuit Hu (conf. priorem<br />

adnot.).<br />

148, 1. Sit Horizon eirculus AB: Zodiacus autem sit CD<br />

Au. 2. dcrp6v TI E. 5. Kpuvyiv oux e'Eei dXXd del. Hu (ut<br />

p. 146, 25). oux 8=et AC, OUK dEei E. 10. direiXricpOuj] assumatur<br />

Au. 15 17. TO be f cet.]<br />

r<br />

sed astrum C occasu<br />

vespertine occidit: Quare et E astrum etiam occasu vespertine<br />

occidit: Eadem igitur' cet, Au. 20. 21. TO Z dvaTeXXei, xai<br />

TO E] et ipsi per diametrum positum astrum F oritur: et etiam<br />

E astrum oritur Au. 21. TOU ante dpa VjXiou om. E in contextu,<br />

sed add. prima m. in marg. 23. 24. TOU be A dva-<br />

TeXXovToc TO T buvei, xal TO E] sed D astro orients , et huic<br />

per diametrum positum astrum C occidit: quin etiam E occidit<br />

Au. 25. TO E eujov buvei] astrum E occasu matutino<br />

oritur Au (qui pro oritur sine dubio voluit occidit, itaque in<br />

marg. citat 'Diff. 6. 1. libri', i. e. libri 1 defin. 7). 26. fe A<br />

in marg., Te C in marg., le' E, TTp6T. ib. Geuup. Da. 27.<br />

TOUTUJV E.<br />

maiori circum-<br />

150, 1. 2. dir^x^ TrX^ov Zitubiou irepi^epeiac]<br />

ferentia uno Zodiaci Signo distaverint Au. 2. uepiqpepeiac<br />

A, item per compendium C, irepicp^peiav E, irepicpepeiav Da.<br />

oux 2 ei E. 3. uja TG Hu auctore Au (qui f<br />

et matutina<br />

oriuntur et vespertina occidunt' interpretatus est), two. A, uua<br />

CE, ^uua Da. 6. 6 be TUJV Eiubiuuv 6 sit CD An,.<br />

PA] Zodiacus eirculus<br />

7. Trpoc bucjuatc] in occidentis parte situm Au.<br />

9. KCtl ecTO) f\ PZ irXefuuv tiubiou irepicpepeiac] sit vero CF circumferentia<br />

maior uno Zodiaci Signo Au. irepi^dpeia A,<br />

item per compendium C, corr. E (conf. priorem adnotationem).<br />

10. oux 2ei E. 11. et vespertinum occidet et matutinum<br />

orietur Au. 12. Assumatur enim Au. 14. et sumatur Au.<br />

16. Kcd TO E] quin etiam E astrum occasu vespertine occidit<br />

Au. 17. KCtl TO E] et etiam E ortu matutino oritur Au.<br />

19. buvouevov E.<br />

152, 1. T6 be I AC, xal TO I E. 4. Tfiv Oy dpa CE,<br />

TI^V 6y euuav A (error ortus esse videtur ex compendio illo<br />

vocis dpa simili litterae e).<br />

8. f? A in marg., if C in marg.,<br />

Ig' E, TTp6T. ie Geubp. Da. 10. eXaTTOv i^uicouc] ^'Xarrov AC<br />

(idem legit Fa), eXarrovoc E, om. Da, corr. Ho Auriam secutus,<br />

qui verba drrexr) cet. vertit<br />

f<br />

minori circumferentia distaverint<br />

dimidio Signo'. Et conf. propositiones 16. 17. 18 ex


LIBRUM DE ORTIBUS H. LIII<br />

ordine cum propositionibus 13. 14. 15, Martimim eo loco quern<br />

supra p. V adnot. 1 citavimus, p. 412. 11. exeivai E. em-<br />

ToXfic ACE, dvctToXfic Da Ho. ^Tro.uevriv E, consequentem<br />

Va Au. 13. Kpuiytv be] KCU xpuvjnv Da. 14. astris in signifero<br />

const!tutis Va, quam quae in Zodiaco circulo sita sunt<br />

astra Au. 15. Sit horizon ab. signifer autem cd. Va, Sit<br />

Horizon circulus AB: Zodiacus sit CD Au. 16. TI Hu, om.<br />

ACE Au. 17 p. 154, 1. be TUJV eTroju^vujv Tivl TLU f. cuvavctTeXXeTUJ<br />

oni. E.<br />

154, 1. cuvavaTeXX^TUJ TUJ Z] post cuvavaTeXX^TUJ add. be<br />

C, sed id delevit prima m. 2. eXdrrujv om. E. r)juicouc<br />

om. ACE Fa (conf. ad p. 152, 10). 2. 3. ZXybiou irepiepepeiac,<br />

Kal TUJ Z fcTiw om. E. 3. r6 fj CE, g. Va, puncturn G Au<br />

(id est T6 r\), TO K descripsi ex A. Kal dTreiXr^Suj] capiaturque<br />

Va, et sumatur Au. 4. r| KH] malim r\ HK auctore<br />

Auria, vel Vj HAK collata propos. 11. 6. xcd TO E] etiam e.<br />

Va, quin etiam astrum E ortu matutino oritur Au. 14.<br />

Hu, orfi ACE, occultatur Va Au. f| yX^ E. 15.<br />

Hu, tempore Au, om. ACE Paris, graec. 2364 (diutius vertit<br />

Va). 16. quam quae sunt in signifero astra Fa, quam quae<br />

sunt in circulo Zodiaco sita astra Au. 17. i A in marg.,<br />

il C in marg., 12' E, TTpOT. i?. 6eujp. Da. 20. irepiqp^peictv<br />

AC Ho, -rrepupepeictv Da, -rrepiqpepeiac compendio scriptum E.<br />

21. ecrtepicL re Hu auctore Au (vide proximam adnot.), crrepia<br />

ACE Da Ho (idem legit Fa). et vespertina oriri et matutina<br />

occidere videntur Au. 22. 23. eis quae in signifero posita<br />

sunt Fa,, quam quae in circulo Zodiaco sunt astra Au.<br />

156, 1. 6 be TUJV Ziybiuuv] signorum orbis Fa, circulus Zodiacus<br />

Au. 3. 4. quae igitnr cocsequuntur cum c. orientur<br />

Fa. 4. cuvavcn-eXXei ACE (conf. p. 142,8), simul orietur<br />

Au (de Fa vide priorem adnot.). 4. 5. Kcd ecTUJ i 5 PZ ] cet.]<br />

sitque cf. signi circumferentia Fa, sit autem CF circumferentia<br />

unius Signi Zodiaci Au. 5. ZiyMou Trepicpepem] ^ Ziujbiou E.<br />

5 8. Kcd CTUJ TO Z usque ad uu5iou irepi^^peia om. C. 6.<br />

7. Kal diretXr|(p0uj] capiaturque Fa, assumaturque Au. 9. e-rrel]<br />

et quoniam Fa. 11. 12. ouvei TO Y xai TO e A, 6uvei TO p (omissis<br />

xai TO e) C, buvei TO e (omissis TO Y xai) E, astrum E oc-<br />

casu matutino occidit Au. 15. 16. KCU TO E, Tfjc auTfjc apa<br />

VUKTOC TO E dcTpov] et e. eadem noctis bora Fa, Quare astrum<br />

E eadem nocte Au. 16. TO E dcrpov add. Hu. ujcc T^ A,


LIV ADNOTATIO IN LIB. DE OUT. II.<br />

two. T6 C, two. TG E, corr. Hu. 17. orpm ACE, corr. Hu.<br />

18. irl TOO K 6vTOc] in k. existente Va, in loco M manente<br />

Au. 22. 23. estque kcl. circumferentia binorum signoruin<br />

Va, atque circumferentia MCK duo continet Zodiaci signa Au,<br />

23. apct xp^vov C E, xp^vov dpa A, sed rectum ordinem verborum<br />

superscriptis notis p et a restituit prima in. aei AC, eiEei E.<br />

24.T&V trl roO EujfcictKoO] eis quae in signifero Va, quam quae sunt<br />

in Zodiaco astra Au. 25. if) A in marg., \r\ C in marg., if\ v '<br />

Paris, graec. 2364 in marg., Irj' E, TTpdT. t. Geuup. Da. loj-<br />

, sine i subscr., Paris. 2364, ut ACE ubique. 27. 28.<br />

^tubiou ueiova irepiqp^peiav] signi maiorem circumferentiam<br />

Va, maiori circumferentia uno Zodiaci Signo distent Au<br />

(de Graecorum verborum structura conf. p. 138, 9sq. 144, 10 sq.).<br />

158, 3. ^TiiTe'XXovTa ACE Paris. 2364 Ho, dvaT&XovTa Da.<br />

diro rfjc ACE Paris. 2364, dud be Tf^c Da Ho. 4. Kpuipiv T^<br />

A Paris. 2364, accent, corr. CE. 5. xpovov AE Paris. 2364,<br />

Xpovuuv C. 6. 7. Sit horizon ab. signifer autem cd. Va, Sit<br />

circulus Horizon AB: Zodiacus circulus sit CD Au. 7. 8.<br />

flcrpov xi Paris. 2364. 10. 11. bt TO I Paris. 2364. 11. 12.<br />

Ktti ecruu cet.] sitque cf. maior signi circumferentia Va, Sit<br />

autem circumferentia CF rnaior uno Signo Zodiaci Au. 12.<br />

Trepiqpepeiac Hu, uepicpepeta A, -rrepicpe^ Paris. a<br />

2364, cj C E.<br />

16. ^Tiei] Kai ^rrel Paris. 2364.<br />

etiam E matutinum oritur Au.<br />

17. xal TO E] et e. Va, quin-<br />

17. 18. im TOO K 6vTOc] in<br />

k. existente Va, in loco K manente Au. 20. 7rt TOO 6v-<br />

TOC] in h. existente Va, in loco H manente Au. 24. 25. im<br />

TOU M OVTOC] in m. existente Va, in loco N manente Au.<br />

25. 26. TTI 6e TOU A] at in 1. Va, sed manente Sole in loco M<br />

Au. 26. TOCOUTOV A Paris. 2364, tandiu (sic) Va, irXeiova<br />

CE, maiori Au. 27. dei AC Paris. 2364, e'Ha E. 28. Kai<br />

crt (uefcuuv 6uo ^LUOI'UJV] Kai ^CTI juei^ujv ZiuubioudC, estque maior<br />

signo Va, f<br />

circumferentia enim NCM est maior quam duo Zodiaci<br />

Signa: Quare, etc.' Au. in fine add. auToXuKou irepl<br />

Kai buceuuv TO p': C, duToXOKOU irepl ^iriToXuuv Kai<br />

p. T^Xoc. E, T^Xoc auToXuKou irepl ^uiToXOuv Kai buceuuv<br />

TOU 6euT^pou:


ADNOTATIO IN SCHOLIA.<br />

4, 28. bid TO a 6|uoO xai g TUJV Geobodou ccpaipiKUJv Paris.<br />

2448 ad propos. 1 , bid TOU a' 6juoO xal


LVI ADNOTATIO<br />

cujuTriTTTouav C fol. 130 r sliper verba contextus tcnv YP<br />

uapdXXriXoc. Compendium voculae fap vix comparet, estque<br />

incertum an & voluerit scriba. Negationem ou ego addidi.<br />

30. 31. C fol. 130 r , Paris. 2448 ad prop. 5, Paris. 2472 fol. 45 V ,<br />

E pag. 12. 30. 6' ecnv] TOUTO icriv Paris. 2448. 31. krjluepia<br />

compendia ancipiti exaratum in C, unde Icr)|uepiv6c Paris.<br />

2472.<br />

16, 25 29. C fol. 130r , Paris. 2364 fol. 90 r<br />

, E<br />

pag. 13.<br />

25. 6 ejtoY C Paris. 2364, 6 ajtoY E. 26. oid TO a' C, bid<br />

TO a Paris. 2364 E. Tf|c ante auTOu evanuit iu C. 27.<br />

bri\ovo'Ti C, bYiXovoTi Paris. 2364. 6n 6 ef^Y Paris. 2364 E,<br />

in C vestigia tantum litterarura o efS comparent. xaGo Paris.<br />

2364, Ka0' 6 E, in C nihil nisi Ka6 comparet. 28. Tf|C ante<br />

Touf|c evanuit in C. 30. C fol. 130r , item E pag. 12, nisi<br />

quod Te et a. 31. 32. C fol. 130 r Paris. , 2472 fol. 46r . 31.<br />

OTCXV Paris. 2472, ST descripsi ex C. 32. fj C, Icrl Paris.<br />

2472.<br />

18, 16. bid. TOO p' Kai Y' TOU p TUUV cqpaipiKOuv C fol. 130 r ,<br />

item E pag. 14, nisi quod JJ' Kai y' TOU f. 1728. C fol.<br />

130 r , Paris. 2472 fol. 46 V , E pag. 15. 19. xal f\ C Paris.<br />

2472, f\ Kai E. 22. iv TO) a E. 23. TOJ E, TOU e C, om.<br />

Paris. 2472. 24. TrapdX\r|Xoi C Paris. 2472, TrapdXXr^Xoi elciv<br />

E. 25. tcai eta Paris. 2472. 26. ol opr arf,<br />

Paris. 2472.<br />

27. AATE Hu, ovr~e C, orj ye Paris. 2472, orffe E. 28. TT'<br />

auTUJV Paris. 2472.<br />

20,27. C fol.!30 r , item E pag. 14, nisi quod Te. 28-30.<br />

C fol. 130 r , Paris. 2364 fol. 90V , 2472 fol. 46 V . 28. 6 orjz: C<br />

Paris. 2364, 6 aft] Paris. 2472 Au. TOU oby C, TOU opt Pa-<br />

ris.<br />

Y').<br />

2364. 2472 Au.<br />

32. C fol. 130<br />

31. E pag. 14 (numeri notati sunt a' et<br />

r , E pag. 14. TOU e' Spou Hu, TOU Spou<br />

C, TOU Ti6Xou e' E.<br />

22, 28. 29. C fol. 130r , item E pag. 19, nisi quod Ka0d<br />

TTOiouav. 3032. Paris. 2472 fol. 47 r , E pag. 19. 31. TOO<br />

e Paris. 2472, om. E.<br />

24, 21. C fol. 130r , item E pag. 16, nisi quod \e et a.<br />

22. 23. C fol. 130r , Paris. 2472 fol. 47 r , E pag. 19. 23. ecpdvyeTCU<br />

C Paris. 2472, ^qpchrTeTai E. Kai ante oiuoituc om. E.<br />

Tf] dvuj Paris. 2472. beixOriceTai Paris. 2472 E,<br />

C. 24. C fol. 130 r<br />

, E pag. 16. 25. C fol. 130 r .


IN SCHOLIA LVII<br />

26, 15 26. Paris. 2472 fol. 47 V , E pag. 19 sq. 15. 16.<br />

'AXX 3<br />

f\ 6eu;pr||uaTOC om. Paris. 2472. eiri TOU be TOU 0e-<br />

qppriluaTOC E. 19. oirep ecnv Paris. 2472, o'rcep ecriv E. 20.<br />

TOV ir6\ov om. Paris. 2472. 7rapaXXr|Xujv per compendia scripturn<br />

in Paris. 2472 et E. xuxXwv om. Paris. 2472. 20. 21.<br />

TO H] rectius TO Z, quod auctore Auria edidimus in append,<br />

p. 161; nam ex figurae ratione r\ non est TUXOV cruueiov. 23.<br />

beiEojuev E. 25. be om. E. xal ev TLU g Oeuup cum linea<br />

per p ducta E, ev Tfi e 0ecei Paris. 2472 (sed litterae ev Tf\<br />

non satis distinctae). 27. C fol. 130 r , item E pag. 17, nisi<br />

quod Aia TOU om. et numerorum notas ie' et a exaravit. 28.<br />

C fol. 130 V item E ,<br />

pag. 17, nisi quod Aia TOU om. et numerorum<br />

notas 10' et ia' exaravit. 2935. C fol. 130 V , E pag. 18.<br />

29. irpdc ante etrurebov om. E. 32. TOU AB xuxXou] TOO apx<br />

E, tot fere litterae evanuerunt in C. 33. 34. r\ be 0M usque<br />

ad Tfj AB hoc loco om. E, habet autem haec verba peculiaris<br />

scholii instar pag. 20. 34. irpoc 6p0ac TT) AB in C evanuerunt.<br />

6p0dc]<br />

M<br />

|<br />

E. 35. ri\v UTTO xju0 C, TUJV uird K,u0 E.<br />

28, 17 34. C fol. 130y Paris. 2472 fol. 47 , V E , pag. 19.<br />

17. 6He!a CCTIV C, oHeia ecTlv Paris. 2472 E. 18. TOV EPO<br />

Hu auctore Au (conf. append.), TOV Ho C Paris. 2472 E. 20.<br />

6 ZP] 6 p E T<br />

,<br />

5<br />

) Hp Paris. 2472 ,<br />

in C, ri ZP commendavimus in append, p. 162 (ubi versu ante-<br />

tot fere litterae evanuerunt<br />

paenultimo numerus 19 restituendus est pro 9). 24. apa<br />

(ante r\ HP) C,, Spa Serai E ? ^'cTai (omisso tfpa) Paris. 2472.<br />

27. 28. HIP usque ad -f\ UTTO (ante PI0) om. E. 28. pc0 CE<br />

et Paris. 2472 in marg., ecT0 idem Paris, in contextu. 34. ai<br />

v Paris. 2472 E. 3537. C fol. 130 V , Paris. 2472 fol. 47 r .<br />

35. TOU F C, TOU n Paris. 2472. 38. C fol. 130V .<br />

30, 23. 24. C fol. 130V (scriptura partim evanida), Paris.<br />

2472 fol. 48 r , E pag. 22. 23. TUJ "ob E, Til) "ob C,<br />

TIU o\<br />

Paris. 2472. 24. toe xal Ta irXeiova crjiueta cujupaXeiv Paris.<br />

'Airo ToO<br />

2472. 25. C fol. 130 V , item E pag. 21, nisi quod<br />

om. et numerorum notas rf' et ^ exaravit. 26. C fol. 130 V ,<br />

Paris. 2472 fol. 48 r .<br />

32, 28. C fol. 130V . 34, 28. C fol. 130V , Paris. 2472 fol.<br />

48 r , E pag. 22. bice TOU x' (an forte TI'?) C, bict TO f[ Paris.<br />

2472, bid TOU a E. TOU p' C, TOU (3<br />

OU Paris. 2472, TOU JJ E.<br />

29. C fol. 130 V , item E pag. 22, nisi quod jj exaravit et TOO


LVHI ADNOTATIO<br />

pipXiou om. 30. C fol. 130 V , E pag. 23. 6|uotoc crlv (crlv<br />

compendio scr.) C.<br />

36, 15. 16. C fol. 130 V . 17. C fol. 130 V , item E pag. 24,<br />

nisi quod e' et p'.<br />

item E<br />

38, 19. C fol. 130V E , pag. 24. 20. C fol. 130V ,<br />

pag. 24, nisi quod Aid TOU om. 21. C fol. 130V item E<br />

,<br />

pag. 25, nisi quod Aid TOU om. 22. C fol. 130V item E<br />

,<br />

pag. 25, nisi quod 'Qc beixOr| 6id TOU om. [verba we IbeixOr)<br />

ad p. 36 extr. spectare videntur].<br />

pag. 25. 42, 30. C fol.<br />

r 131 , bid<br />

_40, 30. C fol. 131 r , E<br />

TO I TOUTOU E pag. 26. 44, 30. Paris. 2448 ad propos. 12.<br />

Aid TOU a' Hu, bid TO a TOU a' Paris. 46, 19. C fol. 131 r ,<br />

Paris. 2448 1. c., Paris. 2472 fol. 48r ,_E pag. 28. TOU I' TOU a'<br />

CE, TO I TOO v. Paris. 2448, T6 I TOU a Paris. 2472. 20.<br />

Paris. 2448 1.<br />

c., qui numerorum notas 4 et a exhibet.<br />

48, 20. C fol. 150 V , E pag. 29. 21. CE ibid. olov C,<br />

oiov uuc E.<br />

50, 23. E pag. 29, qui buvov pro bOvov. 2429. C fol.<br />

pag. 91. 26. TOUT' CTI TOU b. dvctTdXXei E. 27.<br />

150V E ,<br />

TOUTO Hu auctore Au, TOUTUJ CE. 30. C fol. 150 V . KCITavT(iec6ai<br />

satis distincte scriptum in C, corr. Hu.<br />

52, 29. C fol. 150 V , E pag. 31. TO TZA] TO yTb C, y2a<br />

(omisso TO) E. ^JUIKUKXIOV C, notam semicirculi et superscr.<br />

ov exhibet E. 30. 31. C fol. 150 V , E pag. 91. 30. TOUT'<br />

ecTi E. 30. 31. buvov buvov CE, ac sic posthac.<br />

54, 30. C fol. 150V , E pag. 31. TI E, In TI C.<br />

56, 2730. C fol. 150 Y , E pag. 91. 29. Tfjc -f^b T"' c ><br />

Tfjc 9 a; Y&X E. 31. C fol. 150 V .<br />

58, 1924. C fol. 150 V , E pag. 91. 19. TOOT' criv E.<br />

ICTUU Hu auctore Au, dir6 CE. irpuuTri E, a*' C. 21. ^ii;a<br />

E (similiter idem posthac). 22. |iir|b^-iTUj C, jur)Truu b^ E. eiri<br />

TO e E, ^iri TO C. 23. qpaivecGai C, qpGiveTCti E (non praeveniet<br />

D astri ortus Au}. 25. C fol. 150 V , E pag. 34. 26<br />

33. C fol. 150 V , E pag. 92. 26. 7repiqppiav] Q" CE, et<br />

similiter iidem passim. 30. ou rroieT dvaToXrjv] exspectaveris<br />

ou YiveTai i\ ^tua qpaivojLidvTi dvaToXr) (conf. Auriam in<br />

append, schol. 6). 32. TI^V ^ E, TiPrv yv<br />

C. 34. C fol.<br />

150 V , E pag. 34. auTdc] auTa E, au et superscr. T cum am-<br />

biguo ductu compendii C, corr. Hu. 35. CE ibid.


IX SCHOLIA. LIX<br />

60, 28. C fol. 151 r , item E pag. 35, nisi quod a. 29.<br />

CE ibid. 'TI ydp aiJTai eiciv C, CTI yap ai)Td (omisso eiciv)<br />

E, corr. Hu. OTI uXipuucei auTd E. 30. E pag. 35.<br />

62, 23. 24. C fol. 15 l r , E<br />

pag. 36. 23. TOUT' icrtv popiuO-<br />

Tepov TOU a TOU jj". TOUT' CTIV E. 2529. C fol. 151 r , E<br />

pag. 92. 25. KOTO ^ E. ypaqpoua E. 26. TO,T C, T6T<br />

E, tune Au.<br />

64, 1628. C fol. 151 r , E pag. 92 sq. 22. TOUT' CTI E,<br />

ac sic posthac. 27. cri<br />

om. C. 29. C fol. 15 l<br />

(ante TOU r^Xiou) oni. E. i^Xiou<br />

r . 3032. C fol. 151 r E , pag. 93.<br />

66, 22. C fol. 151 r E , pag. 38. TO 6 CE. TOO om. E.<br />

23. C fol. 151 r E r<br />

, pag. 93. cumy E. 2426. C fol. 15 l<br />

,<br />

E pag. 93. 2730. CE ibid. 27. dvaTeiXcu] oriatur Au.<br />

28. T6 E om. Au.<br />

68,<br />

25. 26. C fol. 151 r<br />

, E pag. 93. 25. ev E, v C. TCI<br />

acrpa om. C. 27. 28. C fol. 151 r , E<br />

ibid. 29. TI^V YP C, To yap E.<br />

pag. 93. 2932. CE<br />

70, 27 29. C fol. 151 r<br />

, E pag. 94. 27. Kav E. Tf]v<br />

(ante |ueTaHu) Hu, \ C, ^ E, quae est Au. 28. Tfjc NK] ex-<br />

spectaveris TUJV N K, sed idem dicendi genus redit in echolio |u<br />

1<br />

(p. 80, 19). s dm> TOU N euuc ! TOU K del. Hu. 29. Tnc v<br />

CE, Tfjc KV legisse videtur Au. 30. 31. C fol. 151 V E , pag. 94.<br />

31. KctTaYpctiyctvTOC dKO\ou9rico|uev E.<br />

uqp'<br />

72, 29. C fol. 151 Y , E pag. 94. imeSe et superscr. X' C,<br />

eS IXei E.<br />

74, 27 29. CE ibid. 27. TG vuxermepujv CE. 28.<br />

ouv C, p E. 6 fecrl CE. irapacuvavaT^XXei E.<br />

i 5<br />

! E<br />

76, 2631. C fol. 151 V E , pag. 94. 26. ei C et in marg. E,<br />

in contextu. 27. biifjet Hu, buei CE, percurrit Au. TO<br />

et dimidium circulum<br />

iljaicu TOU Q ou E, TO C/D TOU r s<br />

|jui"0" u C,<br />

zodiacum, id est xai TO fijuicu cet. Au. 28. 6uvev E. 29.<br />

ou TOV C, duTov E. 30. irou E, item vs. 31. f],uicu E, idem<br />

compendium quod<br />

vs. 27 C.<br />

78, 23. C fol. 151 V E , pag. 95. TOUT' ICTIV E. 24. 25.<br />

CE ibid. 24. TOUT' 'CTI E. ^YT^cet CE, appropinquaverit<br />

Au, ^YYicri coni. Hu. 25. Te A: C, ie' |uv E. 26. CE ibid.<br />

27. 28. CE ibid. 28. TOU e E, TOU (voluisse videtur TOO<br />

r^Xiou) C, om. Au.<br />

80, 19. 20. CE ibid. 19. crjMeiov Hu auctore Au, TOV


LX ADNOTATIO<br />

E. 20. beiKvuvrec<br />

jar] C (et TOV quidem compendio scr.), TIUTJ<br />

E. 21. 22. E pag. 95. 23. 24. C fol. 151 V E , pag. 95.<br />

25 35. C fol. 151 V totius ; scholii initium tantum habet E<br />

p. 95: TOUT' ecri juerd TO 60vai TOV f^Xiov rrpoc TO) . 25.<br />

60vai C, item posthac. 26. buvov, ut solet, C. 28. |ur]orruj<br />

Hu, (uribe^repov C, nequaquam Au. 29. ju Te C. 30. elTa<br />

C, adhuc enim (id est n YP) -4w. auTo Hu, auTov C,<br />

ipsum (scil. astrum) Au. 30. 31. d9avic6ev, TTPOKOTTTOVTOC cet.]<br />

lateat necesse est: quin etiam sole-, motu mundo contrario<br />

progrediente, non apparet astrum Au.<br />

82, 23 25. C fol. 151V , E pag. 95. 23. TOUT' gcnv E.<br />

26. C fol. 152 r . 2731. C fol. 152 r<br />

, E pag. 95 sq. 27. TOJV<br />

r\ C, TUJV lr\ E. irapaXXr|Xouc solito compendio scriptum<br />

in E. 28. Ta aju3 C, TOU aup E. irepiqp^peiai<br />

solito com-<br />

pendio scriptum in CE. 29. rijuiKUKXuuv E, QQ C. 30. TCC<br />

I rj C, TCI rj E.<br />

84, 20. C fol. 152 r . TOU 6 C. ccpaipac solito compendio<br />

scriptum in C. 2124. C fol. 152 r , E pag. 95. 21. &eqpeuY^v<br />

E. 22 init. cnv E. 6r]Xov6Ti C. 23. apa om.<br />

E. qpeijEeTat E, qpeuHet descripsi e C. 24. TO I E, TO 6 C.<br />

25. 26. C fol. 152 r , E pag. 96. 25. Trapa\\ri\oi)C solito com-<br />

pendio scriptum in E. 26. TUJV 06 E. 2731. C fol. 152 r .<br />

29. Te |u C. 30. diro TOO f Hu auctore Au, foro TO Y C.<br />

86, 1619. C fol. 152 r<br />

, E pag. 96. 17. ITT' aiml) C. 18.<br />

Te |uovac CE. dYCtYVTOC C, dYCXYOVTOC E.<br />

88, 1924. C fol. 152 r . 20. dvaT&Xei T^ C. Y\ in<br />

marg. corr. C alia littera, quae est in contextu, deleta.<br />

X (ante buvei) C corr. ex alia quadam<br />

littera. 2531. C fol.<br />

152 r . 28. euua C. 32. E pag. 49.<br />

90, 21. 22. C fol. 152 r E , pag. 96. 21. Trepicpepeiac] 99^<br />

r<br />

E, 'Tf C. 23. C fol. 152 E , pag. 96. ?j 6uvov C, ou buvov<br />

E. 2428. C fol. 152 r . 25. JUGTCI TI^V 6ixoTO)iiiav C, eui<br />

Tfjc bixoTOjiiac voluit Au. 28. OJCTE tcr]v elvai TVJV p2 (sic)<br />

Tfj ^Y C, Kal ^CTat kr] ^\ v$ Tirj GY voluit Au.<br />

92, 1518. C fol. 152 r . 15. rj HMA Hu auctore Au, f\<br />

|uX C. 17. apa Hu auctore Au, om. C. TT) 0A Hu auctore<br />

Au, TTI 6|u C. oiv Hu, eH div C, e&eixOr] 6^ STI voluit Au.<br />

Tfi 0f] Tn Tn GY C. 18 init. post kTi haec fere exciderunt:


IN SCHOLIA. LXI<br />

Xourri (vel xai Xonrr]) apa f\ BM TV) PA icrj ecTiv. tuv r} EM Tfl<br />

NA icr^ ecrr (conf. in appendice Auriae scholium 29). 19. C<br />

fol. 152 r . 20-26. C fol. 152 r . 20. rnuicouc] TIJUI C super<br />

vs. 20. 21. ie ie C. 22. 23. TOUTOU ouv C, igitur Au,<br />

Toiyapouv vel TOUTUUV ouv (scil. TOJV te' juopiuuv)<br />

coni. Hu. 27<br />

30. C fol. 152 r . 27. rf]v TV C, Tr]v fv f| Triv pF voluit Au.<br />

29. 30. qpaiveTO 6idTropUO|ue~vou om. Au. 31 33. C<br />

fol. 152 r .<br />

94, 2023. C fol. 152 r , E pag. 96. 20. TOUT' gcriv E.<br />

21. xai dvctTeXXov C, f) dvareXXov E. TOUT' ecn E, scilicet<br />

An ',, om. C. 22. etjuov C, uuviov E. TTOTG b C, TTOT^ 6e<br />

E, quod autem interdum Au. 23. v TUJ p w E, iv TU) p'<br />

pi(3X. ev TO) tp C, 2. propositionem<br />

2. hums Au.<br />

E pag. 96.<br />

96, 26. C fol. 152 r . C. 2731. C fol. 152 r<br />

27.<br />

,<br />

KttTCt Hu, Kcd CE (idem legit Au, qui post auTfjc Tfjc YH<br />

addi voluit UTTO YHV oucr)c. 29. ^aiveTai 6iepxo(aevri CE, apparet<br />

deferri Au. 30. Xdccovi XPov^ irpoc TOUTOV f^Xiov E.<br />

32. C fol. 152 V E , pag. 96, idem p. 53 ad propositionem 11<br />

extremam. 16' C, 6 E utroque loco. irepi om. E pag. 53.<br />

98, 2631. C fol. 152 V , E pag. 97. 28. TO 6 C, TO b<br />

ficTpov E. 6id TO 6 CE. 30. TOUT' ecTiv E. 31. uua C,<br />

i&a E.<br />

Tf\<br />

102, 2533. C fol. 152 V , E pag. 97. 27. T6 6 CE. 29.<br />

TOUT^CTIV add. Hu, scilicet Au. oiov TO Z. E in contextu, C<br />

pr. m. in margine. 30. TOU p E, TOU 6 C, item proximo<br />

versu. 30.31. TI^V AfZ Hu auctore Au, Tr\v ct^pCE. 32.<br />

dXr)0ivfic Hu auctore Au, qpcuvo|uvric CE. Kai cn C.<br />

106, 2326. C fol. 152 V , E pag. 97 sq. 23. 6uj6eKcmi-<br />

(noptov (sine ace.) CE. 23. 24. Kcrrci buu&dKCiTa C,<br />

TO 6uubKa<br />

TCI E. 25. 6v Tnc C, ev Trj E. irepicpopac] 3^ C, >"'' E.<br />

d^' oiou 6' dv C, dqp' fjc ouo' dv E.<br />

108, 24. C fol. 153 r . TOUTecTi paene totum evanuit in C.<br />

6id)LieTpov solito compendio scriptum in C. 25. 26. C fol. 153 r ,<br />

E pag. 98. 26. ecTiv compendio scriptum in C, ecrm E, est<br />

Au. 2730. C fol. 153 r<br />

eb voluit Au. 30. ecriv C, gcTai E,<br />

, E<br />

pag. 98. 29. f\ Ib CE, 6Xn f]<br />

sit Au. 3133. C<br />

fol. 153 r , E pag. 98. 31. 'Eiret yap E. 34. C fol. 153 r .<br />

TOU iy C.


LXH ADNOTATIO<br />

110, 22. C ibid. 2326. C ibid. 24. TO ITTO^VOV C<br />

ipsi per diametrum positum Au. 25. 6Xr\ C, 8\r\ if] ff\ voluit<br />

Au. 25. 26. dvcxT^XXouca be oux oparai C,<br />

oriri videbitur Au. 27. C fol. 153<br />

quare et tota<br />

r . 28. 29. C fol. 153r E ,<br />

p. 98. 28. Aid TO E, 6ia TOU C. auT^v E,<br />

CXUTOV C. 29.<br />

auTfjc om. C. 30 33. C fol. 153 r . 31. rrepicp^pem] tota<br />

circumferentia J.M, minim compendium comparet in C, scilicet<br />

TT cum a superscripto et nota compendii<br />

super<br />

adscripta, denique<br />

haec linea transversa cum littera a. 32. ^r\v ecriv C.<br />

112, 27. C fol. 153r . 6id<br />

28. 29. C fol. 153<br />

TOU a C, oid TO a' coni. Hu.<br />

r E , pag. 98.<br />

#PKTOV<br />

28. TOUT' ecn E. upoc<br />

E. 30. C fol. 153r . 6ia|ueTpouc solito compendio<br />

scriptum in C.<br />

114, 18. 19. C fol. 153 r , E pag. 98. 19. g C, & E. eivat<br />

om. E. 20. 21. CE ibid. 20. TOUT' ICTIV E. 21. dir-<br />

exov C. irl TO TT Hu auctore Au, d-iro TOU -ff CE. 2225.<br />

C fol. 153 r . 2628. C ibid. 27. bidcTYuua] 6 cum nota<br />

compendii C, intervallum Au. 27. 28. 6 ecriv usque ad xXi-<br />

Hcn-a om. Au. 29. 30. C fol. 153 r . 29. TO $ TOU a C.<br />

116, 2126. C ibid. 23. evTdc Hu, ev -rr\c C. 24. 6^<br />

Tdc dXXac qpdcetc] bid Tac dXX. 9. coni. Hu. 2729. C ibid.<br />

28. frriToauTo cpGdcei C. 3032. C ibid. 33. C ibid. 34.<br />

35. C ibid., E pag. 98. 34. Tou Yi ante orepicc add. E. 32. 33. CE ibid. 34.35. CEibid.


IN SCHOLIA. LXIII<br />

re an rduuc C.<br />

124, 25. C fol. 153 V . be Hu, ambiguuin<br />

2628. C fol. 153V E , pag. 99. 2931. CE ibid. 30. dvTi<br />

TOO (ante GCXTTOV) om. CE.<br />

126, 1532. C fol. 153V (nonnulla in hoc scholio sunt<br />

dubia, quaedam etiam comipta). 24. Kara (pro xai) TOU<br />

euuw>|uou coni. Hu. xal (ante ecrai) add. Hu. 25. TUJ (ante<br />

ev Tfj dvaToXf]) Hu pro TOU. 28. 29. eTro,uevov kri C. 29. 30.<br />

fortasse post ^Youjuevov interpungendum est, quo facto verba<br />

KdTd Trjv 0cw TOJV ujbiujv, deletis proximis Kcrrd TCI eTr6|ueva,<br />

pertineant ad Xaj^dvovTca ^|uiv. 33. 34. C fol. 153 V , E pag. 99.<br />

33. TOO Y E, TOU t (sed Z. minus dictinctum)<br />

N Hu, e-rrl TOU ff CE. 35. C fol. 153V bis (scilicet post cx6Xiov<br />

C. 34. eui TOU<br />

Xp et Xb), E pag. 99. TOUT' e'en E. ev & 6 fiXioc T^V YK E.<br />

128, 19 26. C fol. 153V (in hoc quoque scholio nonnulla<br />

corrupta sunt; paulo plura et emendatiora praebet Au}. 23.<br />

6 TdOpoc TUJ Kpitu ^irojuevoc] 6 Tccupoc Tr6juevoc- 6 Taupoc TO<br />

Kpiuu eTr6juevov C, taurus consequitur ipsum arietem, quoniam<br />

sol prius comprehendit arietem quam taurum Au. 27. 28<br />

pag. 100. 29..<br />

C fol. 153 V , E<br />

pag. 99. 2932. C fol. 153 V , E<br />

5<br />

11 K0 Hu, b0 CE. -r\ _30. UTrepmTTTei E. 31. 32. !e ju" ^9'<br />

eir^xov C, UE' |U0 eqp' CKTOU errexov E.<br />

130, 25. C fol. 153V . xeiTai 6 Hu collato scholio v, xei<br />

incerta scriptura in C. 2628. C fol. 153 V E , pag. 100.<br />

26. Tfi 7 C, Tf| KvH E.<br />

132, 25. 26. C fol. 153V . 2729. C fol. 153V E , pag. 100.<br />

29. 6v om. E. 30. C fol. 153 V .<br />

134, 2629. Cjfol. 154 r , E pag. 100. 26. ev TLU i? C,<br />

ev TUJ ?' E. 28. X C, X' E, ac similiter posthac. 30 32.<br />

CE ibid. 30. ev Tuube C, ev TUJ be E. 31. 32. TOUTIU Te<br />

xal TUJ eHnc C, TOUTUJ be xai eHnc'E. 33. C fol. 154 r .<br />

136, 2631. C ibid. 30. T^V KHM Hu auctore Au, TVJV<br />

KY C.<br />

138,<br />

32. C ibid.<br />

2022. C ibid., E pag. 100. 21.<br />

^tuceoc (ante be<br />

eXdccuuv E.<br />

r)) C, i^iiLiiceuJC E. 22. eXa cum nota cornpendii C,<br />

2325. C fol. 154r E , p. 100. 23. TOUT' ecri E. X C, item<br />

vs. 25. 24. euOav (ut solet) C, eOuov E. rrapaYi cum nota<br />

compendii C, irapaYiYveTai E. 25. bid TO f CE, corr. Hu.<br />

140, 2832. C fol. 154r . 142, 27. C ibid.<br />

144, 20-22. C ibid. 21. Yivojue"vr|c coni. Hu. 22. TO<br />

E Hu pro TO 0. xai ante eore"piov add. Hu auctore Au.


LXIV ADNOTATIO IN SCHOLIA.<br />

23. 24. C ibid. 24. TOU bi K C, sed K minus distinctum no-<br />

taeque r) admodum simile. 25 29. C ibid., E pag. 101.<br />

25. 26. T6 C, T6 6 0eujpr||ua E. 28. UJG irl ret I xai ju vo-<br />

corr. Hu<br />

luit Au. Tivi om. E Au. 29. otov TO Z. CE,<br />

auctore Au. TO e E,<br />

TUJ e C.<br />

146, 2931. C fol. 154 V , E pag. 101. 30. fcrl TOU K ecri<br />

Hu auctore Au, Tr6u.evov cn C, om. E. 31. in lacuna haec<br />

fere exciderunt: xpuijnv Spa ayei, ev & 6 f^Xioc TI?]V GTK Trepi-<br />

9^peiav 6i^pxTai. 32. C fol. 154V . TUJ ie C.<br />

150, 2123. C fol. 154V E , pag. 101. 21. 'Abiacpopiwc E.<br />

22. uuav C (ut solet), uuav E. 2432. C fol. 154V . 24.<br />

eiK6TUUc non satis distincte scriptum in C. 27. ctcpicrdjuevov<br />

C, corr. Hu auctore Au. 3335. C ibid., E pag. 101. 33.<br />

'Abiacpopuuc E, Indifferenter Au, 6taqp6pujc C. 34. v |uecuj<br />

yap, omisso TUJ, coni. Hu.<br />

152, 1820. CE ibid. 19. cpedcei CE, corr. Hu. 20.<br />

cpavv Hu, cpaveic C s<br />

, cpdvac E. dvaTeiXav C, dvctTeiXai E.<br />

2123. C fol. 154V . 2430. C ibid. 28. 6uav compendio quidem,<br />

sed eo minime ambiguo scriptum in C; attamen fcuceic vel<br />

bucjuidc legendum esse videtur. diro TOU I C,<br />

luit Au. 29. 30. im TCI I Kai jil voluit Au.<br />

d-rro TOU 6 vo-<br />

154, 24. 25. C ibid., E pag. 101. 2629. C ibid. 28. 6rav]<br />

6'Xrjv coni. Hu auctore Au. 28. 29. T^V APM Hu auctore Au,<br />

T}\V orjii C.<br />

156, 29. 30. C ibid., E pag. 102. 29. ^Tri C, 'Eirei E.<br />

30. Trpo^fi C, irpo E.<br />

158, 29. CE ibid. Y


ATTOATKOT<br />

IIEPI KINOTMENH2 S


a' .<br />

AYTOAYKOY<br />

IIEPI KINOYMENHS 2


AUTOLYCI<br />

DE SPHAERA QUAE MOVETUR<br />

LIBEK.<br />

Definitiones.<br />

1. Aequabiliter puncta ferri dicuntur, quaecunque<br />

aequali tempore aequales ac similes linearum magnitudines<br />

percurrunt 1<br />

).<br />

2. Sin autein punctum, quod in linea quadani<br />

fertur, aequabiliter duo eius lineae segmenta percurre-<br />

rit, tempus ad tempus, quo punctum utrumque segmentuni<br />

percurrit, in eadem ratione erit ac segmentum<br />

ad segmentum 2<br />

).<br />

Propositiones.<br />

Prop.<br />

I. Si sphaera aequabiliter circa axem suum con- l<br />

vertetur, omnia in superficie sphaerae puncta ; nisi<br />

quae in ipso axe sunt, parallelos circulos describent ;<br />

qui eosdem polos ac sphaera habebunt et perpendiculares<br />

ad axeni erunt 3<br />

).<br />

Sit sphaera cuius axis recta a/3, poli autem puncta<br />

cem parallel!. MAUROLYCUS fol. 61 V , qui cum nonam primi<br />

libri propositionem citat, suam Theodosii sphaericoruni editio-<br />

nem (fol. 2 y ) sequitur;<br />

at secundum Graecos libros manu scriptos<br />

iu nostris editionibus est propositio octava.


HEPI S$AIPA2.<br />

d avrijs rd A B tf^fia, xal 6rQ(p()&a)<br />

rbv avri]$ d^ova rbv AB '<br />

^yo on<br />

Ttdvra rd iitl rfjg iticpavia rrjs<br />

t 9 o(5a {if} b'tinv itl rov<br />

rov$ avrovg nohovs e%ovrag r/<br />

Kal en OQ&OV$ itQog rov a%ova.<br />

yap n Grjustov ni rrjg<br />

rb F, nal %0-eo KTCQ rov F Bid rr\v AB sv-<br />

fteiav xd&sros ^ f^, xal &tfts(M,'q6&&<br />

rb dice r&v 10<br />

itohcov rcov A B uccl rfjs JTz/ STiiTtsdoV TtOiiqGei dq<br />

(a) ro[irjv xvxHov. sGro avrov r^uxvK^iov rb AFB. eav<br />

drj yisvovOYis rife AB ev&eCas TCQiV%&\v rb<br />

xhiov LS rb ccvrb TtuKiv ccTtoxccratira&fj o&V<br />

pQ6d'ai, 6v[utQt,V%&ii6rai avrc) KCCL rj Td v&la 15<br />

xarcc Ttatiav yiraKivri


DE SPHAERA PROPOS. 1. 5<br />

a ft, et vertatur aequabiliter circa axem suum a/3;<br />

dico omnia in superficie sphaerae puncta, nisi quae<br />

in ipso axe sunt, parallelos circulos descriptura esse,<br />

qui eosdem polos ac sphaera habebunt et perpendicu-<br />

lares ad axem erunt.<br />

Sumatur enim in superficie sphaerae punctuni ali-<br />

quod y, et a y ad rectam a/3 ducatur perpendicularis<br />

yd, et producatur planum quod per polos a ft<br />

et rec-<br />

tarn yd transit; hoc igitur sphaeram secaus circulum<br />

efficiet 1<br />

). Sit eius circuit semicirculus ay/3; si igitur<br />

nianente recta a/3 semicirculus conversus eodeni red-<br />

ierit unde converti coepit, una cum eo etiani recta yd<br />

circumferetur per ornnem semicirculi ay/3 conversionem<br />

ruanens perpendicularis ad rectam a/3, et descri-<br />

bet circulum in sphaera, cuius centrum erit punctum<br />

d, radius autem yd perpendicularis ad axem a/3<br />

[propterea quod etiani yd semper manet perpendicu-<br />

laris ad a/3]. Atque apparet puncta a /3 polos esse<br />

circuli qui descriptus est, quoniam a centro sphaerae<br />

perpendicularis ad circulum ducta et ad superficiem<br />

sphaerae producta est recta ady 2<br />

). Similiter dernonstrabimus<br />

omnia reliqua in superficie sphaerae puncta,<br />

nisi quae in ipso axe sunt, circulos descriptura esse,<br />

qui perpendiculares erunt ad axem a/3 et eosdem ac<br />

FIGURAM secundum verba scriptoris delineavimus. In<br />

codicibus CE nihil comparet nisi dimidius circulus ay(3 cum<br />

diametro a@ et perpendicular! yd; in A semicirculus est apertus,<br />

aySfi notatus, intra quern haec leguntur: GVVK^ICPOTSQO?<br />

(brevissime, nee satis perspicue scriptum) a K


6<br />

IIEPI Z$AIPA.<br />

(y) 6(paiQa. of ds iteql rovg avrovg itokovg ovtsg sv<br />

6(pai$a Ttaodkhrjhoi, KVX&OL i(5i' rtdvra aoa ra 7cl rrjg<br />

7ticpaviag ri]g 6 rag<br />

rcav Ttaar&v xvxhav<br />

a,ova TOV AB^ Ttokot<br />

h'tir&Gav ra A B 6r\-<br />

rai ra F 4 6rj[ita oC FE 4Z, %al<br />

dua rijg AB nai rov F titfasdoV 7tOLt]6i drj<br />

v rfj GyaiQa uvxkov.


DE SPHAERA PROPOS, 2. 7<br />

sphaera polos habebunt. Atqui circuli in sphaera,<br />

quicumque eosdern polos habent, sibi parallel!<br />

sunt 1<br />

);<br />

ergo oinnia in superficie sphaerae puncta, nisi quae<br />

in ipso axe sunt, parallelos circulos describent, qui<br />

eosdem polos ac sphaera habebunt et perpendiculares<br />

ad axem erunt.<br />

II. Si sphaera aequabiliter circa axeni suum con- 2<br />

vertitur, oninia in superficie sphaerae puncta aequali<br />

tempore similes arcus circulorum parallelorum, per<br />

quos feruntur, percurrunt 2<br />

).<br />

Sphaera enini aequabiliter circa axem suuni /3<br />

couvertatur, et poli sphaerae sint puncta a /3,<br />

et su-<br />

mantur puncta quaedarn in superficie sphaerae y $<br />

dico puncta y d aequali tempore similes arcus circu-<br />

lorum parallelorum, per quos feruntur ; percurrere.<br />

Sint enim parallel! circuli, per quos puncta y d<br />

feruntur 3<br />

), ys d, et producatur plauum quod per<br />

rectam a/5 et punctum y transit; hoc igitur sphaeram<br />

secans circuluni efficiet 4<br />

).<br />

Sit eius circuli senricircu-<br />

lus ay/3; hie igitur aut per d transibit aut uon.<br />

1) Theodos. spbaer. 2, 2 (conf. G%Qliov y).<br />

2) Hanc propositionem citat Pappus collect. 6 p. 612, 15;<br />

eandem repetit (non noininato auctore aut libro) Euclides<br />

phaen. p. 562 init. ed. Gregor. (conf. Heiberg. Stud. Eucl. p. 42).<br />

Manrolycus fol. 61 V adnotat: f Nam si duo puncta sint in eodem<br />

parallelo. Constat propositum per assumptain in principio<br />

petitionem. Si autem in diversis parallelis, constabit<br />

propositum adducta lo a secundi sphaericorum Theod.' In his,<br />

quae deciniaquinta citatur, est potius decima propositio secundi<br />

sphaericorum libri (conf. supra p. 3 adn.).<br />

3) Primam huius libri propositionem citat scholiasta<br />

Graecus.<br />

4) Theodos. sphaer. 1,1.


8<br />

IIEPI S^AIPAS.<br />

TtQOTEQOV xal E(5To TO AFd B ,<br />

Tt] TtEQLCpOQa Tljg GCpaLQag {lETaXEXWrjG&G)<br />

xal iv<br />

TO A FA B<br />

(*) qiltXVXhlOVy Xttl %ETG) &E01V COg TY\V AEZB. ETtEl EV<br />

GcpaiQa TtagakkrikQi xvxAoi, Eitilv 01 FE z/Z,<br />

xal dice<br />

Tcav Ttokcov avTcijv \Liyi6tQi xvxkoi yEygaynLEvoi sfalv 5<br />

01 AFAB AEZB, O^LOLK KQK Ettlv rj FE TtQi(pQia<br />

TO F<br />

Tfl Z/Z TtQl,CpQl


DE SPHAERA PROPOS. 2. 9<br />

Transeat primum, et sit semicirculus aydft, qui<br />

in conversione sphaerae simid nioveatur et positionem<br />

aet^ft occupet. Quia in sphaera sunt paralleli circuli<br />

ys d, et per polos eorum maximi circuli aydft as^ft<br />

arcui d similis est 1<br />

);<br />

descripti sunt, arcus igitur ys<br />

dico igitur aequali tempore punctum y ad ac d ad<br />

pervenire.<br />

Etiamsi non est, tamen, si fieri possit, aequali<br />

tempore punctum y ad punctum s ac d ad rj perve-<br />

niat; in conversione igitur sphaerae, cum y ad s per-<br />

venerit, etiam d ad rj accedet, et semicirculus aydp<br />

fere positionem aerjft' habebit. Et quia uterque cir-<br />

culoruni asft asrifi' maximus est ? recta igitur ab a<br />

ad /3' iuncta diametrus sphaerae est 2<br />

). Sed etiam aft<br />

diametrus est, id quod absurdum; non igitur aequali<br />

tempore punctum y ad s ac d ad q pervenit. Similiter<br />

denionstrabimus punctum d ad nulluni aliud punctum<br />

praeter pervenire posse.<br />

lam semicirculus ayft non per d } sed per &<br />

trauseat, ut est in altera figura, et sit parallelus cir-<br />

1<br />

tur ^-O , pars circumferentiae S9"ri (in B omissuin est Ea-<br />

rf).<br />

dem figura reperitur in E, sed litterae 8 et & inter se commutatae<br />

sunt.<br />

1) Theodos. sphaer. 2, 10 (conf. o%6hov s}.<br />

2) Patet id manifeste: cum enim a(3 et aarj(3' maximi<br />

circuli sint, per sphaerae siquidem centrum et polos ducuntur,<br />

secabunt se mutuo bifariam necessario, ut patet ex 11. Theod.<br />

1. Sphaer. Quodsi coniunxerimus puncta, in quibus se circuli<br />

bifariam mutuo secant, erit ilia omnino recta linear nam (per<br />

3. nndecinii Euclid, elementorum) duorum planorum communis<br />

sectio est recta linea: quare recta linea ex puncto a ad<br />

punctum (3' coniuncta circulorum erit et sphaerae diametrus.<br />

SCHOLIUM ANTIQUUM apud Auriam p. 27, nisi quod ABFE<br />

et ABGE habet pro ae%p et as^^', atque punctum E pro<br />

'.<br />

punctum


10 nEPi .<br />

TO z/ 6r}{Jiiov 6 z/@Z, xl XEL'G&CO Trj FE<br />

4H. a/U' ^ F.E TtEQtyEQEia Ttj @Z TtEQicpE-<br />

6Tiv bfjioia' ual $] /1H CCQCC TTI &Z<br />

(?) Xal L6iV TOV aVTOV KVXkov' fay KQK CCQCt %OOVG) TO 5<br />

z/ ETtl TO H TtccQayCyvETKi xal TO ETtl TO Z. EV otic)<br />

$ 1QQVG) TO ETtl TO Z ItCCQayi'yVETai, ,<br />

Kttl TO F ETCi<br />

TO E' EV I'GCO CCQCC %QOVG) TO F ETtl TO E TtCiQCiyi'yVETai<br />

y.al TO z/ ETtl TO H.<br />

(t) y'. 'Eccv GcpatoK GTQECprjTcu 6fi/lc5g rtEQi<br />

TOV EKV- 10<br />

TIVCC T(DV TtaQakkrjkcOV KVXk&V KK& COV CpEQE-<br />

o{ioiai Ei6iv.<br />

'E6TG) 6(pcdQK ^g cc,G)v o AB)<br />

KCCI<br />

rtokoi df TO, A B<br />

Lkr]


DE SPHAERA PROPOS. 3. 11<br />

culus d# ; per quern. punctum d fertur, et arcui ye<br />

similis ponatur ipse drj. Sed arcus ye ipsi & siinilis<br />

est; itaque etiam dq ipsi #J<br />

siinilis est. Et sunt<br />

eiusdem circuli; ergo drj ipsi # aequalis est 1<br />

); aequali<br />

igitur tempore d ad ^ ac # ad perveniunt 2<br />

Sed<br />

).<br />

quo tenipore & ad , eodem y ad s pervenit; aequali<br />

igitur tempore y<br />

Prop.<br />

ad s ac d ad ^ perveniunt.<br />

III. Si sphaera aequabiliter circa axeni suum ver- 3<br />

titur, arcus circuloruni paralleloruni, quos aequali<br />

tempore puncta quaedani per eos circulos percurrunt,<br />

inter se similes sunt 3<br />

).<br />

Sit sphaera cuius axis a|8 ; poli autem puncta cc<br />

/5, et suniantur puncta quaedam<br />

y d in superficie sphaerae,<br />

et paralleli circuli, per quae<br />

puncta y d feruntur, sint ye<br />

d, et aequali tempore punctum<br />

y arcum ye ac punctum d arcum<br />

d percurrat; dico arcum<br />

ye<br />

arcui d simileni esse.<br />

Si enim arcus ye non similis est ipsi d, sit ye si-<br />

milis ipsi $17; aequali igitur tempore punctum y arcum<br />

ye et d ipsum dy percurrunt. Sed aequali tempore<br />

1) Hoc, nisi me fallit, scriptor ea fere ratione demonstrari<br />

voluit, quain posteriores inire potuerunt secundum Euclidis<br />

elem. 6, 33 et 3, 28. Et conf. G%6liov rj.<br />

2) Propter secundam defmitionem huius (conf. G%6liov &}.<br />

3) Conf. Pappum collect. 6 p. 628 sq. Conversam hanc esse<br />

propositionem ex ea quae praecedit et converse modo demonstrari<br />

adnotat Maurolycus fol. 61 V . Et conf. i 6%6liK 1/3.<br />

FIGURA longe alia exstat in codicibus ABCE, ubi rectam<br />

u(l secant duae circurnferentiae fere parallelae ye dqS (in AB<br />

omissum est 7^), circulus autem nullus comparet.


(ty)<br />

12<br />

TtOQSVSTttl KO.I TO Z/ TY]V<br />

IIEPI S$AIPA.<br />

Z/Z *<br />

SV f(7 O.QK XQOVO) TO<br />

Z/ TV]V Z/Z ^tWTtO^fVfrCCt 3CU TO Z/ T^V Z/jff. 3CCU ff'tftV<br />

TOV avTov koV i'Grj KQK stimv % 4H rfj z/Z, rj<br />

rfi [let&vi,, OXBQ eGrlv advvarov' OVK KQK<br />

6 ttOfc iCiLQLG3 aiSL StiTi<br />

CpttVSQCC., TCC ds SV TG) CCCpttVSL OilsC StiTlV dcpCCVtj.<br />

'Ev yccQ GyaiQa ^isvov ({isyiGToefy xvxhog o<br />

TtQt g og&ag cov TG) a^ovu OQL^STG)<br />

TO TS cpavsobv Tj]g Gcpaioccg nol TO<br />

5 / -, / ft i ~ y^<br />

acpavsg' Asyco OTL 6Tos(po^svi^g Tr]g<br />

Gcpaioag nsol TOV savTrjg ci^ova ovdsv<br />

TGJV STtl Tr}g STticpavsiccg Trjg<br />

OVTS dvtiSTai OVTS<br />

(ty) "O 86XLV snl TTJS [ivhoLdov$<br />

V.O.I *t<br />

TOTE yug nal 6<br />

KCU |<br />

1) Sic enim suppositum est.<br />

PROPOS. 4 : Pappus collect, 6 cap. 34 (p. 520). Ad eandem<br />

Maurolycus fol. 61 V adnotat: f Nam tails circulus manens<br />

est communis limes taliurn hemisphaeriorum, et per primam<br />

huius, puncta singula suos seorsum parallelos semper in alterutro<br />

hemisphaeriorum<br />

Schol. 1. Quod proponit Au-<br />

describent.' Praeterea haec scholia antiqua<br />

duo affert Auria p. 27 sq.: f<br />

15<br />

20<br />

25


DE SPHAERA PROPOS. 4. 13<br />

etiaiu punctum y ipsuni ys et d ipsum d percurrunt 1<br />

) ;<br />

ergo punctum d aequali tempore et fit, et drj per-<br />

currit. Et arcus sunt eiusdem circuli; ergo d^ ipsi<br />

d^ y minor maiori, aequalis est, id quod fieri non<br />

potest; ergo ys non similis est ipsi d^. Siniiliter demonstrabinius<br />

nullum alium praeter d similem esse;<br />

ergo areas ys ipsi d similis est.<br />

IV. Si in sphaera maxinius circulus rnanens, per- 4<br />

pendicularis ad axem, distinguet occultum et conspicuurn<br />

heniisphaeriurn, et sphaera circa suuni axem<br />

convertetur, nullum eorum quae sunt in superficie<br />

sphaerae punctorum neque occidet neque orietur, sed<br />

ea quae sunt in conspicuo hemisphaerio semper con-<br />

spicua sunt/ et quae in occulto semper occulta.<br />

In sphaera enim niaximus circulus manens a/3,<br />

perpendicularis ad axem, distinguat conspicuam sphaerae<br />

partem et occultarn; dico, si sphaera circa axem<br />

suuni convertetur, nullum eorum quae sunt in super-<br />

ficie sphaerae punctorum neque occasurum esse neque<br />

oriturum.<br />

tolycus, in motu sphaerae rotundo accidit, videlicet ubi circulus<br />

Aequinoctialis est Horizon: tune enim cuncta astra per circulos<br />

ipsi aequinoctiali parallelos feruntnr: et sex mensibus dies<br />

contimms est, et sex iterum mensibus perpetua nox. Schol. 2.<br />

Idem, quod Autolycus, ostendit etiam Theodosius propositione<br />

1. libri de habitationibus: Hoc autein accidit iis, qui sub Polo<br />

degunt: Lege quae in 1. Theod. de habitationibus sunt annotata:<br />

hue etenim spectant: Vide etiam et Decimam eiusdem<br />

Theod. in eodem libro de Habitationibus.' Ad Auriae Schol. 1<br />

conf. Graecurn ty. Quo sensu ab Autolyco (isvcov Kvulos dictus<br />

sit, pluribus exponit Th. H. Martin in Revue critique, 1877,<br />

premier semestre, p. 414 (conf. indicem nostrum s. v.).<br />

FIGURA diversa est in codicibus ABCE, duo scilicet circuli<br />

circa unum centrum descripti, quorum maior a|3, minor<br />

yd notatus est.


14<br />

HEPI<br />

yda TI 6ri[itov nl Trjg ETticpavstag Trjg<br />

TO F., xal b'tiTo [jrapaAA^Aog] xvxkog xa& ov<br />

(id) CpQTCCt, TO T ,<br />

tnicpaveias Tr^g GcpaiQag 6rjiit,a OVT<br />

dvGfTai, OVT avatsksi) AAoc ra<br />

v ro5 cpavQG) dice rtavTos


DE SPHAERA PROPOS. 5. 15<br />

Sumatur enini punctuna quoddain in superficie<br />

sphaerae y, et circulus, per quem punctum y fertur,<br />

sit<br />

T>#; ergo circulus yd perpendicularis est ad axein 1<br />

).<br />

Verum etiam circulus a/3; ergo circulus yd ipsi a/3<br />

parallelus<br />

est 2<br />

). Si igitur puuctura y<br />

aut occidet aut<br />

orietur, circulus yd continget horizontem a/3, id quod<br />

absurdurn est (nain eidem parallelus est); ergo punc- .<br />

turn y neque occidet neque orietur. Siniiliter demon-<br />

strabiinus omnia reliqua in superficie sphaerae puncta<br />

neque occasura esse neque oritura, sed ea quae in<br />

conspicuo sunt semper esse conspicua, et qaae<br />

culto semper esse occulta.<br />

in oc-<br />

V. Si circulus per polos sphaerae transiens et 5<br />

manens distinguet conspicuum et occultum, omnia in<br />

superficie sphaerae puncta ; dum ipsa vertetur,<br />

et Oc-<br />

cident et orientur et aequale tempus super horizontem<br />

ac sub horizonte ferentur.<br />

Per polos enini sphaerae circulus nianens afty<br />

distinguat conspicuam sphaerae partem et occultam;<br />

dico, si sphaera convertatur,<br />

superficie sphaerae puncta<br />

in conversione omnia in<br />

et occidere et oriri.<br />

2) Eucl. elem. 11, 14 (conf. G%6?.Lov is}.<br />

PROPOS. 5: Pappus collect. 6 cap. 35 (p. 520). Ad eandem<br />

Maurolycus fol. 61 V adnotat: f Nam talis circulus manens, per<br />

20 m [lege 15m ] prirni sphaericorum Theodosii, secat per aequalia<br />

singulos parallelos, hoc est in semicirculos. Quare per 2m<br />

huius, per aequale tempus punctorum unumquodque feretur<br />

utrinque a circulo secante.' Accedunfc duo scholia apud Auriam<br />

f<br />

p. 28 : Schol. 1. Hoc evenit iis, qui sphaeram rectam incolnnt:<br />

tune etenim Horizon per sphaerae polos est ductus, secatque<br />

circulnm Aequinoctialem , et omnes ipsi parallelos circulos in<br />

partes aequales: et semper aequinoctiuin est. (Lege praeterea,<br />

quae in 5. partem prop. 2. Euclid. Phaenomenum sunt adnotata.)<br />

Schol. 2. Idem ostendit Theod. prop. 2 lib. de Habitationib.<br />

Hoc autem illis accidit, qui degunt sub aequinoctiali.


16 IIEPI 3>AIPA2.<br />

TI 6rj[itov<br />

6


DE SPHAERA PROPOS. 6. 17<br />

Sit eniin punctum quoddam in superficie sphaerae<br />

d, et sit circulus parallelus, per quern punctual d fer-<br />

tur, /?


18 IIEPJ 3>AIPAS.<br />

'Ev yuQ 6(paiQa [isv&v {leyiGros 9tvxAo$ o ABP<br />

g av TtQog TOV a%ova oQi^era TO re


DE SPHAERA PROPOS. 6. 19<br />

In spliaera enim rnanens circulus maximus /ty?<br />

obliquus ad axein,<br />

distinguat conspicuam<br />

sphaerae partem et occultain;<br />

dico circulum<br />

afiy tacturuni esse duos<br />

circulos aequales inter<br />

se et parallelos, quorum<br />

alter, conspicuo<br />

polo propinquus, sem-<br />

per conspicuus erit, al-<br />

ter autem, occulto polo<br />

propinquus, semper erit occultus.<br />

Sit enim conspicuus sphaerae polus d, et per d<br />

et circuli afiy polos describatur maximus circulus<br />

adys *),<br />

et arcus ye ponatur ipsi ad aequalis 2<br />

),<br />

polo d intervalloque ad describatur circulus J^, polo<br />

auteni s intervalloque sy describatur circulus ydx-,<br />

apparet igitur circulum /? circulo y&K aequalem et<br />

parallelum esse et circulum afiy circulos afy yftn<br />

1) Qua ratione talis circulus describatur, docet Theodosius<br />

sphaer. 1, 20.<br />

2) Scholio antique, quod est apud Auriam p. 29, pnmum<br />

supponitur rectas ay Se se invicem secare, turn ex Eucl. elem.<br />

1, 15 rectas ctd yg , ideoque etiam propter elem. 3 , 28 arcus<br />

ad y8 inter se aequales esse deinonstratur. Attamen paulo<br />

aliter ipsius scriptoris sententia explicanda esse videtur.<br />

Quoniani enim maximorum circulorum a^y u8y circumferentiae<br />

ex constructione se secant in a, alterum sectionis<br />

punctum erit y, et circulorum plana se secabunt in recta ay.<br />

lam a 8 ad dimidiam ay, id est ad centrum sphaerae (quod<br />

littera ft notemus), ducatur recta a^ eaque producatur ad f,<br />

et ponatur fie = pd. Ergo punctum s erit in superficie<br />

sphaerae. lam facile demonstratur rectam fy aequalem esse<br />

rectae ^a, itaque etiam arcum fy arcui da.<br />

2*<br />

et


20<br />

HEPI 2


DE SPHAERA PKOPOS. 6. 21<br />

tangere 1<br />

); iam dico circuluin afy semper conspicuum<br />

et y&x semper occultum esse.<br />

Nam circulus a si in 17,<br />

conversione sphaerae<br />

non semper conspicuus erit, horizontem aj3y secabit.<br />

Secet in puncto A ; et iungantur rectae ad d& ay.<br />

Quoniam in sphaera maximus circulus ady alium in<br />

eadem sphaera circulum afiy per polos secat, bifariam<br />

eum et ad rectos angulos secabit 2<br />

); ergo ay diame-<br />

trus est circuli afly. Et circulus ady perpendicularis<br />

est ad circulum a/ty; circulo igitur afiy in diametro<br />

ay perpendiculare insistit segmentum ady,<br />

et circum-<br />

ferentia eius segnienti inaequaliter secatur in d, et<br />

minor est arcus ad (hoc eniin manifestum 3<br />

) ; ergo<br />

recta ad minima est omnium quae a d ad circulum<br />

deducuntur 4<br />

) 5 itaque recta ad minor est quain<br />

afly<br />

dL Sed eadem etiam aequalis (nam punctuni d polus<br />

est circuli<br />

??),<br />

id quod absurdum est; ergo in con-<br />

1) Scholio, quod Auria p. 29 sq. ex Graeco (vide tfgoX. x/i)<br />

convertit, primum demonstrator rectam ds diametrum sphaerae,<br />

ideoqne puncta d s polos circuli y-fbt, et propter Theodos.<br />

sphaer. 2, 2 (vide 6^61. xa) eirculos ctr} y&n inter se parallelos<br />

esse. Sed eosderu etiam aequales, quia rectae ex polis<br />

ductae da sy aequales sint (supra p. 19 adn. 2). Et quoniam<br />

duo circuli et<br />

|3y ufo maximi circuli aSye circuniferentiam<br />

in eodem secent puncto atque in eo ipso niaximo circulo polos<br />

habeant, propter sphaer. 2,3 (vide 6%6k. xa) eirculos a^y an<br />

se mutuo in puncto a tangere (iternque eirculos afty y-9-x in<br />

puncto y).<br />

2) Theodos. sphaer. 1, 15 (conf. G%Q\IOV xy).<br />

3) Quoniam vero circulus AFG [id est agrj] tangit circulum<br />

ABC [id est a/Jy] in puncto A, ideo maximus circulus<br />

non est: quare recta linea DA, ex ipsius polo ducta, minor est<br />

quarta circuli [circumferentiae] parte, et propterea semicirculi<br />

AC bipartita sectio non est D puncturu. Quare semicirculi<br />

AC pars minor est AD circumferentia. SCHOLIUM ANTI-<br />

QUUM apud Auriam p. 30, expressum e Graeco v.S.<br />

4) Theodos. sphaer. 3, 1 (conf. 6%oliov x).


22 IIEPI $AIPAS.<br />

07tQ drOTtOV V a$a rfj 7tOi(f>OOa TTJg 6(paiQag AZH<br />

xvxkog ov dv(jrai. o^ioiog drj di^o^iv on ovde o<br />

F@K dvarsfot' o plv AZH doa xvxlog KLBL i


DE SPHAERA PROPOS. 7. 23<br />

versione sphaerae circulus ty non occidet. Similiter<br />

denonstrabimus circulura yftn non oriturura esse: ergo<br />

circulus afy semper conspicuus, circulus autem y&x<br />

occultus est.<br />

semper<br />

VII. Si horizon, id est circulus qui in sphaera 7<br />

coaspicuam sphaerae partem et occultam distinguit,<br />

obliquus ad axem sit, circuli qui ad axem perpendiculares<br />

sunt et horizonteni secant semper in iisdem<br />

horizontis punctis et oriuntur et occidunt iidernque<br />

siniiliter inclinati erunt ad horizonteni.<br />

Sit in sphaera circulus conspicuam sphaerae par-<br />

tern et occultam distinguens aftdy obliquus ad axern,<br />

circuli autem ad axem perpendiculares sint aft yd;<br />

dico circulos aft yd semper in iisdem horizontis punc-<br />

tis et oriri et occidere [et oriri eos quidem in punc-<br />

tis ft d, occidere autem in a y\.<br />

Etiamsi non est, tamen, si fieri possit, circulus<br />

aft in alio puncto, velut f ; oriatur et in puncto<br />

a oc-<br />

cidat, et polus circulorum parallelorum sit punctuni ;<br />

et per et polos circuli aftdy maximus circulus de-<br />

PROPOS. 7: Pappus collect. 6 cap. 38 (p. 520523). Et<br />

conf. Eucl. phaen. propos. 3 p. 566, Heiberg. Stud. Eucl. p. 42,<br />

denique appendicem ad b. 1.<br />

F1GURAM quae supra delineata est et illam alteram quae<br />

p. 25 extr. sequitur secundum scriptoris verba nostra coniectura<br />

adumbravirnus. In codicibus AC et Parisino 2472 ad hanc<br />

propositionem primum ea figura adscripta est quae in nostra<br />

editione infra sequetur tertio loco (p. 27), turn ilia quam ad<br />

Graecum scbolium It, (p. 28) exbibebimus. In BE prior tantum<br />

ex bis quas diximus reperitur. Auria p. 18 et 32 praebet figuram<br />

ex duabus quae sunt in AC Paris. 2472 concinnatam ; ad<br />

quam quae litterae adscriptae sunt, eas suo ingenio elegit iuterpres<br />

(conf. append, ad VII propos.).


24<br />

(xfr) HZ, xal en&vx&G)6av<br />

ai H HZ ZE ZB. exel<br />

iv GcpaiQa pfyt&tog xvxhog o HZ xvxhov nva rc5v<br />

iv r\i 6


DE SPHAERA PROPOS. 7. 25<br />

scribatur 77^, et iungantur rectae ^-9- 77 a /3. Quoniam<br />

in sphaera niaximus circulus 77<br />

-0- alium in eadem<br />

sphaera circulum afldy per<br />

polos secat, bifariam et ad<br />

rectos angulos secabit *) ;<br />

ergo YI&<br />

diametrus est cir-<br />

1<br />

culi afidy. Et circulus T^O<br />

perpendicularis est ad circulum<br />

afidy] itaque in cir-<br />

culi afidy dianietro ^ per-<br />

pendiculare insistit segmentum<br />

riffi, et eius segmenti<br />

circumferentia inaequaliter secta est in puncto , et<br />

minor arcus est<br />

2<br />

77 ); ergo recta 77 minima omnium<br />

est quae a puncto ad afidy circulum deducuntur 3<br />

) ;<br />

itaque etiani minor est quae propior rectae 77; ergo<br />

s minor est quam /3. Sed eadem etiani aequalis 4<br />

),<br />

a/3 yd semper<br />

punctis et oriuntur et occidunt.<br />

id quod absurdurn est; ergo circulus<br />

a/3 in nullo alio puncto nisi /3 orie-<br />

in ullo nisi a occidet 5<br />

).<br />

tur, neque<br />

Similiter demonstrabinius circulum<br />

quoque yd in puncto d orituruni<br />

esse et in y occasurum; ergo circuli<br />

in iisdeni horizontis<br />

3) Theodos. sphaer. 3, 1 (conf. G%oliov la}.<br />

4) Quia ex hypothesi punctum E positum est in circumferentia<br />

circuli a{3, cuius polus est ^. Conf. Theodos. sphaer.<br />

1 def. 5 et supra propos. 6 extremam (p. 21).<br />

5) Oinissa est demonstratio similis superiori, qua snpponebatur<br />

circulum aft in puncto quidem oriri, sed in alio puncto<br />

praeter a occidere et cet.


26<br />

KEPI 23>AIPA.<br />

(iy) AfyK> dr\ on xal b^ioCog eltil KMfa^voi, agog rov<br />

ai AB JTz/ KM AN. titsl 6<br />

HZ xvuhog rovg AB Td AT/IB uvxhovg diet rav<br />

r8[ivi, KKI Jtoog OQ&ag avrovg r^el'<br />

xvxhog OQ&og 6n itgog tuaGrov rwv AB<br />

KOLI endr()og rcov AB<br />

(l~)Kvxka)v oQ&og iGtiv 7tobg rov HZ' nal f]<br />

o HZ 5<br />

aocc roprj % rwv AB T/IBA r\ AB oofrr) itiriv<br />

rov HZ KVK^OV xal nobg naGag aoa rag 10<br />

% AB. K7trrai df rrjg AB warfya r&v H KM<br />

ov' i] AB agcc<br />

H KM OQ&IJ 6uv '<br />

wtirs<br />

'All' r\ [isv dst&s avrj] V.K\K>


DE SPHAERA PROPOS. 7. 27<br />

lam dico circulos a/3 yd etiam siiniliter inclinatos<br />

esse ad horizontem afidy 1<br />

).<br />

lungantur eniin a/3 yd up to. Quia circulus rjffi<br />

circulos a/3 yd aydfi per polos secat, eosdem ad rectos<br />

secabit 2<br />

); circulus igi-<br />

angulos<br />

tur yffi perpendicularis est ad<br />

unuinquenique circuloruni a/3 yd<br />

a/3(ty; itaque etiam uterque circulorum<br />

a/3 afldy ad circuluni<br />

T^ffr perpendicularis<br />

3<br />

est ); ergo<br />

etiam recta a/3, id est communis<br />

sectio circuloruni a/3 ydj$a, perpendicularis<br />

est ad circulum<br />

4<br />

); ergo eadem a/3 ad omnes<br />

rectas, quae ipsani tangunt, perpendicu-<br />

in piano<br />

laris est 5<br />

). Tangit autem rectam a/3 utraque rectarum<br />

r]& up, quae sunt in piano circuli ^ffr;<br />

ergo a/3<br />

ad utramque ^0- xp perpendicularis est; itaque angu-<br />

ram p. 23); nam si aliam forte rationem, similem prioribus<br />

nostris figuris, iDiissemus, perspicuitatem et evidentiam singularum<br />

linearuin vix servavissemus.<br />

1) Conf. c%6liov hy et appendicem ad VII. propositionem.<br />

2) Theodos. sphaer. 1, 15 (conf. 6%oliov 18).<br />

3) Postquam scriptor ostendit circulum rjffi ad circulos<br />

aft yd u$8y perpendicularem esse, nostratibus quidem viris<br />

doctis supervacaneum esse videatur hoc praeterea subiungere,<br />

vice versa unumquernque circulorum a$ yS uSy ad r}& perpendicularem<br />

esse. Sed ista in demonstrando verbositas propria<br />

fuit vetustissimae dictionis mathematicae, id quod, ut alia taceam,<br />

docet similis locus qui infra in demonstratione duodecimi<br />

theorematis sequetur. Verum in Graecis delendae erant<br />

notae Pd (v. p. 26 adnot. ad v. 7); nam de duobus tantum<br />

circulis ccfi afidy agi et tenor conclusions et ipsa forma xas<br />

(diversa ab ilia quae antecedit exact os) demonstrabat.<br />

4) Eucl. elem, 11, 19 (conf. G%O).IQV Af).<br />

6) Ibid. def. 3.


28<br />

I1EPI<br />

j vitb rcov KM y&vfa r\ xkitiig zdxlv ev y<br />

rbv ABAT xvxhov. dice ra ccvrcc<br />

o AB xvxAos n$o$<br />

dy xcci t] vnb rwv AN yavia stirlv rj xM6t,s ev f]<br />

xsxfarai, 6 .Tz/ xvxhos TtQog rbv ABdT. xal snel<br />

dvo ejtLJtsda ita^H^KK ra AB TA vjto nvoq Ini- 5<br />

rov Z ^tipvzrKi, ai xoival aga Kvrcov ro^al<br />

at KM AN siai<br />

jrapa'/U^Aot' efaiv cocTra<br />

for) e


DE SPHAERA PROPOS. 8. 29<br />

lus %n& inclinatio est, qua circulus aft<br />

aftdy<br />

iiiclinatus est 1<br />

).<br />

ad circulum<br />

Iain eadein ratione demonstra-<br />

tur angulum Ai/^ inclinationein<br />

esse, qua circulus yd ad circulum<br />

aftdy inclinatus est. Et<br />

quia duo plana parallela aft yd<br />

piano aliquo ffi secantur, communes<br />

igitur eoruui sectiones,<br />

id est rectae x^i Ai>, parallelae<br />

suni 2<br />

); itaque angulus npv an-<br />

gulo Av-fr aequalis est. Atqui<br />

angulus xji-fr est inclinatio, qua circulus aft ad circulum<br />

aftdy inclinatus est, et angulus Av-fr inclina-<br />

tio, qua circulus yd ad eundem aftdy inclinatus est;<br />

ergo circuli aft yd<br />

lum aftdy.<br />

siniiliter inclinati sunt ad circu-<br />

VIII. Circuli maximi ? qui eosdem quos horizon<br />

circulos tangunt, in conversione spliaerae cum bori-<br />

zonte congruent.<br />

1) Eucl. elem. 11 def. 6. Conf. 6%6lia Zg ac l et appendicem<br />

ad VII propositionem.<br />

2) Ibid. 11, 16 (conf. 6%6hov l&).<br />

PROPOS. 8: Pappus collect, 6 cap. 39 (p. 522). Mauro-<br />

lycus fol. 61 v Graeca verba sic dilatavit: c Si circulus maior in<br />

sphaera fixus apparens<br />

ab occulto dirimat inclinatus ad axem:<br />

quicunque circulus maior contingit duos circulos parallelos<br />

aequales semperque apparentem semperque occultuni, quos<br />

horizon contingit: evoluta sphaera, congruit horizonti.' Quae<br />

sic explicat idem: f<br />

Nam, dum yersatur sphaera, puncta contactuum<br />

feruntur semper in periferiis dictorum parallelorum :<br />

et perinde contactus dicti circuli maioris couniuntur contactibus<br />

horizontis: et circulus ipse counitur horizonti.'


30<br />

nEPI S'fcAIPAS.<br />

iv Gcpcctoa bo^cov 6 ABT, [ifyiGros<br />

ds r&v<br />

yiev aii dcpavav ftfro 6 AE, rwv de aisl yavsQKtv<br />

6 Ad, &v


DE SPHAERA PROPOS. 8. 31<br />

Sit in sphaera horizon /3y obliquus ad axem,<br />

maximus autem circu-<br />

horizonte afiy congruat.<br />

loruni parallelorum sem-<br />

per latentium sit As,<br />

et maximus eorum qui<br />

semper apparent sit<br />

d,<br />

quos quidem horizon<br />

/ty tangit,<br />

et describa-<br />

tur maximus aliquis cir-<br />

culus $/3j>7 qui circulos<br />

ad A tangat ;<br />

dico fore<br />

ut in conversione sphaerae<br />

circulus dpey cum<br />

Describatur enim circulus aliquis ^9- parallelus<br />

circulo ad; ergo semicirculus a puncto d ad partes<br />

y s pertinens non concurrit cum semicirculo qui ab<br />

a ad partes 77 /3 A pertinet. lam quia circuli ad 77$'<br />

paralleli sunt, et descripti sunt niaximi circuli afiy<br />

d^sy, unum quidem ad tangentes, alterum autem yffi<br />

secantes, et inter semicirculos non concurrentes sunt<br />

arcus dxa 77 As, similis igitur<br />

est arcus dxa arcui<br />

77 et arcui<br />

1<br />

Ae ); aequali igitur tempore punctum d,<br />

cum arcum (foa percucurrit, ad a pervenit ac , cum<br />

arcum 77 percucurrit, ad 97 pervenit ac denique ,<br />

cum arcum sA percucurrit , ad A pervenit 2<br />

). Itaque in<br />

conversione sphaerae, cum d ad a pervenerit, turn<br />

etiarn ad 77 et ad A accesserit, et arcus d& con-<br />

1) Theodos. sphaer. 2, 13 (conf. c%6hov ,ua).<br />

2) Antol. propos. 2 huius (conf. G%6l.iov fi(3).


32<br />

IIEPI<br />

7tQL(pOia 7tl TTjV AHA '<br />

G)6T Hal oA() 6<br />

xvxAos (p' ohov TOV AEF xvxhov dtpagpotiei,'<br />

t<br />

OVK E(paQiiotft,, dvo xvuhoi T{iov6iv a/UtjAoug Kara<br />

i 6 4BE KVH&OS id tbv AEF 5<br />

KVKIOV.<br />

& . 'Eav EV GcpaigK [lEyiGTOg uvxkog Ao|og cov TtQog<br />

TOV a%ova boi^y TO T cpavfobv Tfjg GyaLQag<br />

,<br />

TG)V<br />

TOACO V0TOOV dvVl, T(DV d<br />

TO. JtQOS TK> CpaVQK> Ttoha) 7tOOTQOV<br />

'Ev yaQ ticpaioa peyiGTog<br />

uvxhog b AEF<br />

Ao6g &v itob$ TOV a^ova<br />

^*<br />

OQi&TO) TO TE CpaVEQOV<br />

Trjg Gcpai'oas xal TO<br />

dvo 6rita Ta F E<br />

,<br />

xal<br />

TOV (pa-<br />

VOOV TtohoV TO JT 1J7tQ<br />

TO E' kfycn OTL Ta F E<br />

(jrj^lla OV% 6[106<br />

TOV E.<br />

yap<br />

V6TQOV<br />

Ta F E 6r]Hla 01 FZ EHK. tml b AEF boifcv<br />

6TLV TtQog TOV a%ova, nal Ttobg TOV$<br />

(tiy)<br />

Ev TO) t TWV y,VK%lK(OV.<br />

TCC<br />

Hal TO<br />

dvvovTcov 10<br />

TO<br />

15<br />

20<br />

COV CpBQETCU 25<br />

FIGURA codicum ABCE, in planum redacta, exhibet<br />

circulos &&y T^B-A circa centrum K descriptos et circulum ccrjfis<br />

(sic) hos quos dixi secantem. Littera d abest.


DE SPHAERA PROPOS. 9. 33<br />

gruet cum arcu en? /I; itaque etiam totus circulus dftey<br />

cum toto /3y congruet; nam si non congruet, duo se<br />

invicem circuli secabunt in pluribus quam duobus<br />

punctis, id quod<br />

absurdum est 1<br />

); ergo<br />

in conversion e<br />

sphaerae circulus dfls cum circulo afiy congruet.<br />

IX. Si in sphaera maxirnus circulus, obliquus ad r p<br />

g<br />

'<br />

axem, distinguat conspicuam sphaerae partem et occul-<br />

tani, punctorum simul orientium ea quae sunt propiora<br />

conspicuo polo posterius occidunt, punctorum autem<br />

simul occidentiuni ea quae sunt propiora conspicuo<br />

polo prius oriuntur.<br />

In sphaera enini maximus circulus /3y, obliquus<br />

ad axem, distinguat conspicuam sphaerae partem et<br />

occultam, et suniantur duo pun eta y s simul orientia,<br />

et sit y propius conspicuo polo quam e; dico puncta<br />

y s non simul occasura esse, sed posterius occasurum<br />

y quam f.<br />

Sint enim circuli paralleli, per quos puncta y<br />

feruntur, -yffi EY\K. Quoniam horizon /3y obliquus<br />

1) Sive Autolycus ipse sive alius quispiam<br />

hanc dernon-<br />

strationem apagogicam addidit, verborum sententia haec esse<br />

videtur: f<br />

Si duoram circulorum circumferentiae duo puncta communia<br />

habent, circuli aut se secant aut congruunt; at si tria<br />

puncta coinmunia habent, iam fieri non potest, ut se secent<br />

(nam sic se secarent in pluribus quam duobus punctis, quod<br />

absurdum est propter Eucl. elem. 3, 10) ; ergo unum relinqui-<br />

tur, ut congruant.' Euclidis elementorum libri tertii (rdov<br />

propositio decima citatur scholio Graeco fiy.<br />

PROPOS. 9: Pappus collect. 6 cap. 40 (p. 522). Ad eandein<br />

Maurolycus fol. 61 v adnotat: f Nam punctum polo manifesto<br />

vicinius habet, per 24 m \lege 20 m ] secundi Theodosii, maiorem<br />

arcum super horizontem: et perinde si simul oritur, cum puncto<br />

remotiori a dicto polo: posterius occidet. Et si simul occidat.<br />

iam prius exortum est per 2 m huius.'<br />

Autojycus.<br />

3


IIEPI 2


DE SPHAERA PROPOS. 9. 35<br />

est ad axem, idem etiam ad parallelos obliquus est 1<br />

);<br />

ergo arcus yj maior est quam similis arcui 2<br />

17 ). Sit<br />

arcui erj siinilis yA; aequali igitur tempore punctum<br />

y ad A ac punctum s ad r\ pervenit 3<br />

). At punctum s,<br />

cum ad rj accessit, occidit, punctum autem y, cum ad<br />

A accessit, nondum occidit, sed etiam super horizontem<br />

est 5 prius igitur occidit s quam y; itaque y posterius<br />

occidit quam f.<br />

Rursus autem puncta f v\ simul occidant; dico ea<br />

non simul, sed prius J<br />

Nam quia arcus yt,<br />

quam oriri.<br />

v\<br />

maior est quam<br />

e^lj reliquus igitur #7 minor est quam<br />

quo t?H<br />

4<br />

). Sit arcus<br />

^<br />

J^y similis ipsi<br />

I<br />

Y\K.<br />

arcus 5^7 ip s ^<br />

similis arcui<br />

similis reli-<br />

Quoniam<br />

similis est, in conversione igitur<br />

sphaerae punctum simul ad y atque Y\ ad K per-<br />

venit. Prius autem punctum ^ ad K quam ad s pervenit;<br />

ergo etiam punctum g prius ad y, quam ^ ad<br />

, pervenit. Sed punctum J 7 cum ad y accessit, oritur ;<br />

punctum autem q , cum ad accessit, oritur; ergo<br />

prius oritur quam 77.<br />

1) Autol. propos.<br />

7 hums.<br />

2) Theodos. sphaer. 2, 20 (conf. d^dAtov fitf).<br />

3) Autol. propos. 2 huius (conf. G%oUov ps).<br />

4) Quoniam omnis circulus omni circulo similis est: quattuor<br />

namque anguli, qui sunt in centre, in omnibus circulis<br />

insistent recti. SCHOLIUM apud Auriam p. 32 (expression e<br />

Graeco tg.<br />

rccg itgog rco nivTQfa rag OQ&CCS snl ohcov rdiv


77)<br />

36<br />

IIEPI 2>I>AIPA.<br />

'<br />

i . 'Eav iv 6(paiQa iieyLGTog xvxhog Aojog cov<br />

rbv a%ova oQi^r] TO TB cpavsgbv rr\g GyaiQag<br />

nal TO<br />

ayavsg, o dia TWV nohow rrjs 6(paiQa$ KVKAOS iv puck<br />

dig sGrai, o^-O-og 3tQO$ rov bgi^<br />

'Ev yccg GtpaiQa ftg'yKfrog xvxhos o ABT<br />

TO TS (pavsQOV trig Gcpaigccg xal TO acpavsg<br />

agog rov a|oi/oc ? xal 6ta) {ifyiOrog r&v aiel<br />

6 AZ,Ei wvuhog., b d (pavegbg Ttohog rijg GcpaiQas 6tG)<br />

b z/, 6 ds dice T&V rtohcov rijg GtpcciQccg uvxhog stiro<br />

b jBz/JT* heya oti ev \MU TCeQifpOQK rijg 6


DE SPHAERA PROPOS. 10. 37<br />

X. Si in sphaera maximus circulus, obliquus<br />

axein, distinguat conspicuam sphaerae partem et occultam,<br />

circulus per sphaerae polos ductus in una conversione<br />

sphaerae bis ad horizontem perpendicularis erit.<br />

In spliaera enim maximus circulus afiy distinguat<br />

conspicuam sphaerae partem et occultaui, obliquus ad<br />

axern, et maximus circulorum semper apparentium sit<br />

ctferj, perspicuus autem sphaerae polus sit punctual d,<br />

circulus autem per polos sphaerae ductus sit<br />

/3


38 nEPI


DE SPHAERA PROPOS. 10. 39<br />

circulorum dq<br />

1<br />

ads ) circulum a&i per polos secat,<br />

arcus igitur arcui Br\ aequalis est 2<br />

)*, aequali igitur<br />

tenipore puncturn arcum ga ac punctum ^ arcum ye<br />

percurret 3<br />

); ergo in conversione sphaerae 7 cum g, post-<br />

quara arcum g percucurrit, ad a, et punctum 17, postquam<br />

arcum ye percucurrit, ad s pervenerit ? arcus ^drj<br />

cum arcu ads congruet; itaque etiam totus circulus<br />

/3dy cum toto circulo adO* congruet. Sed circulus add'<br />

ad circulum /3y perpendicularis est-, ergo etiani circulus<br />

fifty ad circulum afiy perpendicularis erit. lam<br />

rursus in conversione sphaerae, cum punctum r\j post-<br />

quam a puncto e exiit et arcum fga percucurrit,<br />

ad a<br />

pervenerit, turn item punctum 7 postquam a puncto<br />

exiit et arcum arjs percucurrit , ad s perveniet ; et<br />

arcus $?} congruet cum arcu ads-, itaque etiani totus<br />

circulus fifty cum toto circulo aft& congruet. Sed<br />

3) Autol. propos. 2 hums (conf. 6%6hov v).


40<br />

IIEPI<br />

TOV ABF<br />

xvxhov xal o B4T aga xvxAoz oQ&og i


DE SPHAERA PROPOS. 11. 41<br />

circulus ad& ad circulum /3y perpendicularis est-,<br />

ergo etiam circulus fidy ad circulum a fly perpendi-<br />

cularis erit. lam rursus, cum punctum 77, postquam<br />

ab a exiit et arcuni ccq percucurrit, ad 17 pervenerit,<br />

turn item punctum g, postquam ab s exiit, ad g per-<br />

veniet, et circulus pdyft eandem, quam ab initio,<br />

positionem habebit; itaque non saepius quam bis perpendicularis<br />

erit ad horizontem; ergo in una conversione<br />

sphaerae circulus per polos sphaerae ductus bis<br />

ad horizontem perpendicularis erit.<br />

XI. Si in sphaera maximus circulus , obliquus ad<br />

axem, distinguat conspicuam sphaerae partem<br />

tain, et alter maximus circulus obliquus<br />

et occul-<br />

maiores cir-<br />

culos parallelos quam quos horizon tangat, alter ille<br />

quern diximus per totam horizontis circumferentiam,<br />

quae est inter eos quos tangit circulos parallelos, et<br />

oritur et occidit.<br />

In sphaera enini maximus circulus /ty, obliquus<br />

ad axem 7 distinguat conspicuam sphaerae partem et<br />

occultam, et tangat circulum aliquern d eorurn qui<br />

sunt in sphaera, alius autem maximus circulus obliquus<br />

yt, maiores circidos parallelos tangat /3 yrj quam quos<br />

circulus apy tangit, et sint partes orientales rj\ occi-<br />

PROPOS. 11: Pappus collect. 6 cap. 42 (p. 522. 523).<br />

Utitur hac propositione Eucl. phaen. 7 p. 570 (conf. Heiberg.<br />

Stud. Eucl. p. 42). Ad eandem Maurolycus fol. 62 r adnotat:<br />

f<br />

Patet, quoniam oinnia puncta talibus parallelis interiecta oriuntur<br />

et occiclunt apud periferias horizontis iisdem interiacentes.<br />

Quare et tota talis circuli maioris ididem facit.'<br />

periferia<br />

FIGURAM descripsimus ad similitudinem eius quae in<br />

codicibus ABCE adumbrata est. Punctum in centre circuli atf,<br />

a nobis additurn, polum ?phaerae ideoque obliquam ad axem<br />

positionem circuli a|3y significat. Auria arbitrio suo longe<br />

diversas et lineas et litteras posuit.


42<br />

IIEPI<br />

dvnxce ds ra B F' hsyco on b ZF xvxhog aid dice psv<br />

rijg ZH nsgicpsosiag dvarsfot, dice ds rijg BF dvGsrai.<br />

ydg two. Gri^eia 7tl rrjg ZF<br />

rv%vra to.<br />

K<br />

i, roc<br />

ta oi A&M<br />

7CSi TO Z<br />

V aiel dice {lev<br />

rov Z avaTeAhei dice<br />

ds rov B dvvsi, rb<br />

ds aid dia<br />

rov M avarehAei, dice<br />

ds rov A dvvsi<br />

Z aoa rtQi(pQeia<br />

aisl dice yiv rris ZM<br />

did ds T^g BA dvvsi' did rd avrd dr}<br />

xal j] @K 7tEQi(pQia did ^isv rrjg ME dvarsAhsi did<br />

ds rrjg AN dvvsi, fj ds KF did ^iv rr^g &H dva-<br />

tiktei did ds rf}g NF dvvsi' ohov aga rb ZF r\^i-<br />

xvxkiov aid did psv rrjg ZH itsgicpsosiag dvarskhsi 20<br />

did ds rqg BF dvvi. b{iOiO)g di] dEi%o{isv on xal<br />

rb TQOV fiiiixvxhiov' &(5r okog b ZF xvxkog aid<br />

xard 7ta6av r^v rov boi^ovrog rt()icpQEiav ri]v [isra^v<br />

rwv TtaQakkTqkcav xvxAcov rag rs dvarohdg xal rag<br />

dv(jSig 7tOilrai. 25<br />

if}'. 'Edv v GyaiQa {IE'V&V xvxAog cpEQOiiEVOv riva<br />

Kvxkov TGJV v Ti] Gcpaioa aid di%a ti\ivr[, {irjdsrsoog<br />

ds avT&v inJT 7tobg og&dg /} ro3 d%ovi in^rs did r&v<br />

itohcov rilg Gcpaioag, xdrQog avrcov<br />

(vd) JIK rov TOVTOV.


DE SPHAERA PROPOS. 12. 43<br />

dentales autein /3 y; dico circulum gy semper per arcum<br />

gi? oriturum et per (ly occasurum esse.<br />

Sumantur eniin in circumferentia<br />

1<br />

gj; ) quaelibet<br />

puncta & x, et circuli parallel], per quos pnncta # K<br />

feruntur, sint A-0-ft i/x|. Quia punctum g semper in g<br />

oritur et in /3 occidit 2<br />

), et punctum 0- semper in ^<br />

oritur inque A occidit, arcus igitur gO- semper per<br />

arcum gjj oritur et per /3A occidit; atque eadem ratione<br />

etiam arcus &x semper per [it, oritur et per kv<br />

occidit, et arcus xy per 17 oritur et per vy occidit;<br />

ergo totus semicirculus gy semper per arcurn gif oritur<br />

et per fly occidit. Ac similiter demonstrabimus alterum<br />

quoque semicirculuni per eosdem arcus semper oriri et<br />

occidcre] itaque totus circulus gy per totam horizontis<br />

circumferentiam, quae est inter parallelos circulos ? et<br />

oritur et occidit.<br />

XII. Si in sphaera circulus rnanens circulum quendam<br />

qui in sphaera fertur semper bifariam secet, neuter<br />

autem eoruni neque perpendicularis ad axem neque<br />

per polos sphaerae ductus sit ; uterque maximus erit.<br />

1) Ex verbis quae sub finem huius demonstrationis sequuntur<br />

cognosciinus TYJV ZF TtsQtcpEQSiKV hoc loco a scriptore<br />

intellegi semicirculnm ^y, qui est in conspicuo hemispbaerio.<br />

2) Autol. propos. 7 huius (conf. 6%6li,ov vd).<br />

PROPOS. 12: Pappus collect. 6 cap. 43 (p. 524). Utitur<br />

hac propositione Eucl. phaen. p. 562, 29 (conf. Heiberg. Stud.<br />

Eucl. p. 42). Ad eandem Maurolycus adnotat: f<br />

Nani si uterque<br />

sit circulus minor: manens non potest semper bifariam secare<br />

delaturn, nisi manens ad rectos sit axi. Si manens sit rnaior,<br />

ac delatus minor: non potest semper bifariam secare delatum,<br />

nisi existentem ad rectos axi quod est contra hypothesim. Si<br />

manens sit minor, ac delatus maior: hoc esset contra 17 m<br />

[lege 12 m ] prirni sphaericorum Theodosii. Superest ergo ut<br />

orniiino sint ambo maiores.' Qualis in hac propositione psvcov<br />

y.vv.loq intellegatur, explicat Th. H. Martin, Eeiue critique, 1877,<br />

premier semestre, p. 414 (conf. indicem nostrum s v.).


44<br />

"E6T& iv 6


DE SPHAERA PROPOS. 12. 45<br />

Sit in sphaera circulus manens a/3y, qui circuluni<br />

quendam ytf/3 qui in sphaera fertur semper bifariam<br />

secet, neuter auteni eoruni neque perpendicularis ad<br />

axem sit neque per polos sphaerae ductus; dico utrum-<br />

que circulorum j>/3 ydfi maximum esse.<br />

Sit enini communis eorum sectio recta /fy>; haec<br />

igitur circuli yd /3<br />

diametrus est 1<br />

). Bifariam secetur /ty<br />

in puncto ; hoc igitur centrum est circuli y#/3 2<br />

).<br />

Atque apparet punctum s semper et per onanem<br />

sphaerae conversionem esse in circuli a/ty piano 3<br />

);<br />

iam dico punctum s in axe positum esse.<br />

Etenim si non est in axe punctum , id in con-<br />

versione sphaerae circulum describet perpendicularem<br />

ad axem 4<br />

). Describat circulum %rj. Quia punctum s<br />

semper in circuli afiy piano est et per circulum ^r\<br />

fertur, circulus igitur %rj semper est in circuli afiy<br />

piano. Atqui circulus efy perpendicularis<br />

est ad axem5<br />

);<br />

ergo circulus quoque afiy perpendicularis est ad axem,<br />

id quod contra hypothesim est; ergo fieri non potest,<br />

ut punctum s non in axe sit, itaque est in axe.<br />

Iam dico punctum s centrum sphaerae esse.<br />

Etiamsi non est, tamen, si fieri possit, centrum<br />

FIGURA similis exstat in codicibus ABCE; a nobis addita<br />

est sphaerae et polorum significatio.<br />

1) Ex hypotkesi (bifariam enim circuli se secant) et propter<br />

Eucl. elem. 1 def. 17. 18. Similis est demonstrate apud Theodos.<br />

sphaer. 1, 12.<br />

2) Apagogica ratione scriptor hoc effecisse videtur ex iis<br />

definitionibus quae mine apud Euclidem primo elementorum<br />

libro leguntur 15. 6. 7.<br />

3) Ex hypothesi.<br />

4) Autol. propos. 1 huius (conf. G%6kiov vs).<br />

5) Ibidem.


46<br />

rb<br />

XCt<br />

IIEPI S<br />

Tyg GcpaiQccg r] 0E v&tcc (XCCTQOV ycco TCOV & E<br />

Jtl rov a<br />

xal s sv<br />

rov KtvtQOv rrjs<br />

ktirlv o jTz/5, ctTtb ds<br />

7Cl TO XVTQOV TOV ^ XV-<br />

xkov z<br />

E rj KQCC OQ&TJ e6ri nabs to<br />

xvxhov' coGrs xal b<br />

6g rov |ov, oito ov%<br />

V7t6xirai' ovx aacc rb<br />


DE SPHAERA PROPOS. 12. 47<br />

sphaerae sit punctuni -9-, et iungatur recta


AYTOAYKOY<br />

IIEPI EIIITOA&N KAI AYSE&N<br />

TO A.<br />

a'. Tcov djt^avcov atirQ&v ai IrtirokaC rs xal dv- 5<br />

ai {lev Asyovrai ttlrj&ivat, ai ds yaivopsvai,.<br />

ft'. Ttiv ds akri&ivKtv eaa psv i(5xiv sitirokri,<br />

orav apa ro5 ^Atw avarekkovti atiTQOv n GvvavatdKkri.<br />

y'.<br />

f<br />

Ec3a ds dvo^g, orav apa rep ^Atw avardkkovTi<br />

atirQov n dvvfl.<br />

d'. *E


AUTOLYCI<br />

DE ORTIBUS ET OCCASIBUS<br />

LIBER I.<br />

Definitiones.<br />

1. Astrorum fixorum ortus et occasus partiin veri<br />

partiin apparentes dicuntur.<br />

2. Verus ortus matutinus est, cum sol simul atque<br />

astrum aliquod oriuntur.<br />

3. Verus occasus matutinus est, cum sol simul ori-<br />

tur atque astrum aliquod occidit.<br />

4. Verus ortus vespertinus est, cum sol simul oc-<br />

cidit atque astrum aliquod oritur.<br />

5. Verus occasus vespertinus est, cum sol simul<br />

atque astrum aliquod occidunt.<br />

6. Apparens ortus matutinus est, cum, antequam<br />

sol oritur, astrum aliquod priino oriens conspicitur.<br />

7. Apparens occasus matutinus est, cum ; antequam<br />

sol oritur, astrum aliquod priino occidens conspicitur.<br />

DEFINITIONES: conf. in appendice ad hunc librum scholium<br />

1. Diverse quodam ex fonte ea repetita sunt quae Theo<br />

Smyrnaeus in expositione rerum mathematicarnm ad legendum<br />

Platonein utilium, de astronomia cap. 14 (p. 137 sq. ed. Hiller),<br />

de eodem argumento tradit.<br />

Autolycus. 4


50<br />

HEPI EIHTOA&N KAI ATSE&N A.<br />

v\ '. *E


DE OKTIBUS ET OCC. I. PROPOS. 1. 51<br />

8. Apparens ortus vespertinus est, cum, postquam<br />

sol occidit, astrum aliquod postremo oriens conspi-<br />

citur.<br />

9. Apparens occasus vespertinus est, cum, postquam<br />

sol occidit, astruni aliquod postrerno occidens<br />

conspicitur.<br />

Propositiones.<br />

I. Omnium astrorum fixorum matutini ortus oc- i<br />

casusque, qui apparent, posteriores sunt quam veri,<br />

vespertini autem ortus occasusque, qui apparent,<br />

priores quam veri.<br />

Sit in mundo circulus horizon afiyd, solis autem<br />

circulus positionem habeat velut ayf, et sint partes<br />

orientales versus d, occidentales<br />

autem versus /3, et sit sub terra<br />

semicirculus asy, et sole in a<br />

oriente simul astruni aliquod<br />

fixum d oriatur; ergo astri d<br />

est verus ortus matutinus *) ;<br />

dico astri d ortum, qui apparet,<br />

posteriorem esse quam verum.<br />

Sole igitur in pimcto a oriente, astrum d oriens<br />

latet 2<br />

)-, neque vero, dum sol semicirculum y& percurrit,<br />

astrum d oriens apparet, ut posthac demon-<br />

strabitur 3<br />

); ergo quibusdam diebus praeteritis astrum<br />

FIGURA similis exstat in codicibus ACE.<br />

1) His yerbis scriptor cum definitionem quam supra posuit<br />

secundam citat turn in figura, quae adscripta est, eum ortum<br />

adumbratum esse significat. Similes citationes infra passim<br />

leguntur.<br />

2) Conf. G%olio v d et in appendice 3.<br />

3) Vide infra p. 56, 5 16.<br />

4*


52<br />

nEpi EIHTOA&N KAI ATSE&N A.<br />

KQK TLvag r][iQag TO 4 KGTQQV {pKVYjGstat, avatekkov<br />

TOV rjhfov diek&OVTOS TrjAMaVTyV 7lQi avyag<br />

TOV fjMov ovTog itgbg TK> E' TOV aoa r}Mov<br />

ovTog agog TK> E, TOV B KGTQOV i


DE ORTIBUS ET OCC. I. PROPOS. 1. 53<br />

d oriens apparebit, cum sol tantum arcuni percurrerit,<br />

ut astrum d solis radios effugiat. lam appareat priino,<br />

cum sol ad punctum s pervenit; ergo, cum sol est ad<br />

punctum , astri d est apparens ortus matutinus<br />

(def. 6}. Et quia sol prius ad a quam ad s pervenit,<br />

et eo ternpore ? quo ad a pervenit, astri d est verus<br />

ortus matutinus, quo autem ad , apparens ortus ma-<br />

tutinus, apparens igitur ortus posterior est quam verus.<br />

lam rursus, cum sol in oritur, astrum quoddam<br />

fixum /3 occidat; ergo astri /3 est verus occasus matu-<br />

tinus (def. 3); dico igitur occasum, qui apparet, posteriorem<br />

esse quam verum.<br />

Sole igitur in a oriente, astrum /3 occidens latet;<br />

neque vero, dum sol semicirculum yga percurrit,<br />

astrum /3 occidens apparet ^ ;<br />

ergo quibusdam diebus praeter-<br />

itis astrum ]3 occidens appare-<br />

bit, cum sol tantum arcum percurrerit,<br />

ut astrum /3 solis radios<br />

effugiat. lam astrum /3 solis<br />

radios primo effugiat, cum sol<br />

ad punctum s pervenit; ergo,<br />

cum sol est ad punctum , astri |3 est apparens oc-<br />

casus matutinus (def. 7). Et quia sol prius ad a<br />

quam ad s pervenit, et eo tempore, quo ad a pervenit,<br />

astri /3 est verus occasus matutinus, quo autem<br />

ad , apparens, occasus igitur apparens posterior est<br />

quam verus.<br />

1) Est enim semicirculus ya eupra terrain. AURIA in<br />

marg. p. 4 (conf. c%6liov 5).


54<br />

HEPI EIIITOA&N KAI ATSE.QN A.<br />

IIdA.iv dq, TOV qMov dvvovTos<br />

Decree TO I" 1<br />

, a6TQov<br />

xi T&V ankavcav dvciT^^To TO 4' TOV aoa z/ aGtyov<br />


DE ORTIBUS ET OCC. I. PROPOS. 1. 55<br />

lam rursus ; cum sol in y occidit, astrum quoddam<br />

fixuin d oriatur; ergo astri d est verus ortus vesper-<br />

tinus (def. 4); dico igitur ortum, qui apparet; priorem<br />

esse quam verum.<br />

Sole igitur in y occidente, astrum d oriens latet,<br />

neque vero, cum sol in semicirculurn y transiit,<br />

sol ad<br />

astrum d oriens apparet 1<br />

); ergo ante, quam<br />

y pervenerit, astrum d oriens apparebit. lam postremo<br />

appareat, cum sol est ad<br />

77; ergo cum sol ad 77 est, astri<br />

d est apparens ortus vesperti-<br />

nus (def. 8). Et quia sol prius<br />

ad 77 quam ad y pervenit, et<br />

eo tempore, quo ad 77 pervenit,<br />

astri d est apparens ortus ve-<br />

spertinus, quo auteni ad y, verus,<br />

apparens igitur ortus prior est quam verus.<br />

lam rursus, cum sol in y occidit, astrum quoddam<br />

fixum /3 occidat; ergo astri /3 est verus occasus vesper-<br />

tinus (def. 5); dico occasum, qui apparet, priorem esse<br />

quam verum.<br />

Sole igitur in y occidente, astrum /3 occidens la-<br />

tet, neque vero, cum sol in semicirculum ya trans-<br />

iit, astrum /3 occidens apparet; ergo ante, quam sol<br />

ad y pervenerit, astrum /3 occidens apparebit. Po-<br />

stremo appareat, cum sol est ad 17; ergo, cum sol est<br />

ad 77, astri /3 est apparens occasus vespertinus (def. 9}.<br />

Et quia sol prius ad 77 quam ad y pervenit, et eo<br />

1) Soils enim radii adhuc supra terrain sunt. AURIA in<br />

marg. p. 4 (conf. 6%6hov 97).


56<br />

KEPI EmTOAN KAI ATSE&N A.<br />

i H 7taQKyi'yvTcci<br />

H 7tu.$uyivr\rai^<br />

7tl %7tQ rb F,<br />

rov B atirgov<br />

AA' orav<br />


DE ORTIBUS ET OCC. I. PROPOS. 2. 57<br />

tenipore, quo ad q pervenit, astri /3 est apparens occasus<br />

vespertinus, quo autem ad y? verus, apparens igi-<br />

tur occasus prior est quam verus.<br />

Sint eadem supposita; dico ne eo quidem tempore,<br />

quo sol semicirculum y^a percurrit, astrum d oriens<br />

appariturum esse *).<br />

Oriatur enim sol in puncto rj. Et quia rj prius<br />

oritur quaui<br />

2<br />

) ;<br />

3<br />

simul autem cum a astrum d oritur<br />

),<br />

prius igitur rj quam d oritur; ergo d non apparebit.<br />

Itaque 4<br />

) eo tempore, quo sol semicirculum ya per-<br />

currit, astrum d oriens non apparet.<br />

II. Unumquodque astrum fixum omnibus noctibus, 2<br />

quae sunt ab ortu apparente matutino usque ad vespertinum<br />

ortum apparentern, oriens conspicitur, nullo<br />

autem alio tempore, estque tempus ? quo astrum oriens<br />

conspicitur,<br />

minus dimidio anno.<br />

Sit in mundo circulus horizon a^yd, solis autem<br />

circulus positionem habeat velut ^^, et sole in a<br />

oriente simul astrum aliquod fixum d oriatur; ergo<br />

astri d est verus ortus rnatutinus (def. 2). Sed appa-<br />

1) Hanc extremam primi theorematis partem cum sua demonstratione<br />

inter scholia subiungit Auria p. 6. Idem ad<br />

ipsam propositionem illud insuper scholium expressum e<br />

Graeco & addit, quod nos in appendice (4) repetemus.<br />

FIGURA in hanc propositionem altera secundum verba<br />

scriptoris nostra coniectura delineata est. Apud Auriam p. 6<br />

notae geometricae similiter atque in priore figura sunt dispositae,<br />

et in semicirculo yga super e addita est littera H, id est -fr.<br />

2) Antegreditur enim ipsum a, ideo prius oritur. AURIA<br />

c<br />

in marg p. 6, quibus in verbis ipsum a' est accusativus, et<br />

subiectum intellegitur 77 (conf. 6%6liov i).<br />

3) Ut positum est. IDEM.<br />

4) Conclusio scriptoris valet, quamcunque positionem rj<br />

habet in semicirculo arjy.<br />

PROPOS. 2: conf. libri secundi propos. 4.


58<br />

nEPI EIHTOAS^N KAI ATSE&N A.<br />

(paivoyiSVKi r&v akY\\tiv&v. Gra) drj rov z/ aGrgov<br />

i] rov faiov ovrog 7tQO$ r


DE ORTIBUS ET OCC. I. PROPOS. 3. 59<br />

veri 1<br />

). Sit<br />

rentes ortus matutini posteriores sunt quam<br />

igitur astri d apparens ortus niatutinus, cum sol est<br />

ad<br />

2<br />

.<br />

) lam rursus supposituin sit ; cum d oritur, solem<br />

occidere in puncto y; ergo astri d est verus or-<br />

tus vespertiuus (def. 4). Sed<br />

apparentes ortus vespertini prio-<br />

res sunt quam veri 3<br />

).<br />

Sit igitur<br />

'astri d postrenms, qui appareat,<br />

ortus vespertinus, cum sol est<br />

ad 77. Burn igitur sol arcus as<br />

riy percurrit,<br />

astrum d oriens la-<br />

tet 4<br />

), neque vero ; dum sol semicirculum<br />

ycc percurrit, astrum d oriens apparebit 5<br />

);<br />

ergo solus arcus eq restat, quern cum sol percurrit,<br />

astrum d oriens apparet. Et tempus, quo sol arcuni<br />

eri percurrit, minus est dimidio anno (nam arcus srj<br />

minor est semicirculo).<br />

III. Unuinquodque astrum fixum omnibus noctibus, 3<br />

quae sunt ab occasu apparente matutino usque ad<br />

vespertinum occasuin apparentem, occidens conspicitur,<br />

FIGURA non differt a priore in propos. 1, ac similis exstat<br />

in codicibus AC. In E nota T\ posita est inter et a, et<br />

omissa est s.<br />

1) Autol. propos. 1 huius.<br />

2) Conf. G%6kiov ice efc in appendice 5.<br />

3) Autol. propos. 1 huius.<br />

4) Sunt enim solis radii adhuc supra terram; videbitur<br />

itaque d astrum oriri, cum sol ipsas circuinferentias as et yri<br />

omnino pertransiverit. AURIA in marg. p. 7. Conf. G%Q\KX. iS<br />

et ty (in appendice schol. 6).<br />

5) Est enim semicirculus ya supra terram. IDEM (conf.<br />

IS).


60<br />

nEPi EIHTOA&N KAI ATSE&N A.<br />

ov&svt, xal 6ti,v 6 %$6vog v c? TO atitoov ogatai,<br />

dvvov &cc66a)v Jipfaovg viccvtov.<br />

"Earo v notice) OQL^OV<br />

AEFZ,<br />

o ABF4,


DE ORTIBUS ET OCC. I. PROPOS. 4. 61<br />

nullo autem alio tempore, estque teinpus, quo astruin<br />

occidens conspicitur, minus diinidio anno.<br />

Sit in mundo horizon afiyd, zodiacus auteni asyt;,<br />

et sit sub terra semicirculus /,<br />

et sole in a oriente<br />

astruin aliquod fixum /3 occidat; ergo astri /3 est<br />

verus occasus matutinus (def. 3). Sed apparentes oc-<br />

casus matutini posteriores sunt quani veri 1<br />

). Sit igitur<br />

astri /3 primus, qui appareat,<br />

occasus matutinus. cum sol est<br />

ad .<br />

Iain rursus, cum astruni<br />

/3 occidit, suppositum sit solem<br />

occidere in y; ergo astri /3 est<br />

verus occasus vespertinus (def.5}.<br />

Sed apparentes occasus vespertini<br />

priores sunt quarn veri. Sit igitur<br />

astri /3 postremus, qui appareat, occasus vespertinus,<br />

cum sol est ad ??. Dum igitur sol arcus as ^y per-<br />

currit ; astrum /3 occidens latet 1<br />

), neque vero, dum sol<br />

semicirculuni yga 2<br />

) percurrit, astruni /3 occidens ap-<br />

paret; ergo solus arcus srj restat ; quern cum sol per-<br />

currit, astrum /3 occidens conspicietur. Et ternpus,<br />

3<br />

minus est dimidio anno ).<br />

quo sol arcum q percurrit.<br />

IV. Astrorum fixorum ea quae sunt in circulo zo-<br />

diaco ab ortu matutino apparente occasum matutinuni<br />

apparentem faciunt post dimidium annum,<br />

quae sunt ad septentriones intermisso maiore,<br />

ea auteni<br />

ea de-<br />

nique quae sunt ad meridiem minore temporis spatio.<br />

1) Apparebit astrum (3 occidere, cum sol circumferentias<br />

KS et r\y omnino pertransiverit. AURIA in marg. p. 9 (conf. o%62.. i^).<br />

2) Est enim supra terram. IDEM (conf. 6%6liov irf).<br />

3) Circumferentia enim sr) semicirculo minor est. IDEM<br />

extreme contextu huius theorematis.


62<br />

HEPI EIHTOA&N KAI ATSE&N A.<br />

"E6TG) iv KOGpO) OQ%G)V KVK^Og 6 ART4', 6<br />

TOV rjhiov KVK&OS fteGiv %ET& cog rr\v AETZ^<br />

6TG) V7tb yfiv TO AET Kal rov<br />

^LKVK^LOV',<br />

Kara ro A atirga nva TGOV dithavcov<br />

ra B A z/ ? ro [iv A inl rov a)dia- 5<br />

TO d B 7tQOS KQKTOV^ TO $ Z/ 7SQO fl


DE ORTIBUS ET OCC. I. PROPOS. 4, 63<br />

Sit in mundo circulus horizon aftyd, solis autem<br />

circulus positionem habeat velut asy, et sit semi-<br />

circulus asy sub terra, et, cum sol in puncto a ori-<br />

tur, astra quaedam fixa ft<br />

a d<br />

simul oriantur, et quidem astrum<br />

a in zodiaco, ft ad septentrio-<br />

d ad meridiem 1<br />

);<br />

nes, dico astri<br />

a ab ortu matutino apparente<br />

occasum matutinum apparentem<br />

^^v / fieri post dimidium annum, astri<br />

autem ft intermisso maiore, de-<br />

nique astri d minore temporis spatio.<br />

Quoniam enim, cum sol in a oritur, astra quaedam<br />

fixa ft a d simul oriuntur, astrorum igitur ft a d<br />

sunt veri ortus matutini (def.2).<br />

Sed apparentes ortus matutini<br />

veri 2<br />

).<br />

posteriores sunt quarn<br />

Sint igitur astrorum ft a d<br />

apparentes ortus matutini eo<br />

temp ore, quo sol est ad s.<br />

Et quia in circulo zodiaco<br />

astra iuxta diametrum opposita<br />

coniugate et oriuntur<br />

et occidunt 3<br />

), astro igitur a occidente astrum y ei<br />

oppositum oritur, ac semicirculus aey super terrain,<br />

semicirculus autem ccfy sub terra erit 4<br />

). Itaque, cum<br />

a occidet et y orietur et sol ad y erit, astri a fiet<br />

2) Autol. propos. 1 hums.<br />

3) Eucl. phaenom. 6.<br />

FIGURAM alteram secundum verba scriptoris<br />

iectura addidimus.<br />

nostra con-<br />

4) Conf. G%6kiov Y. et in appendice 7.


64<br />

HEPI EIHTOASN KAI ATSE^N A.<br />

ds iO'iv ecu ato-<br />

6rco ovv rov A aGroov r] (pawoyisvri saa<br />

dv


DE ORTIBUS ET OCC. I. PROPOS. 4. 65<br />

verus occasus matutinus. Sed apparentes occasus<br />

1<br />

matutini posteriores sunt quam veri ). Sit igitur astri<br />

a apparens occasus matutinus<br />

eo tempore quo sol est ad<br />

2<br />

).<br />

Et quia observatuni est astra<br />

aequali tempore<br />

effugere 3<br />

), arcus igitur<br />

solis radios<br />

as arcui<br />

y aequalis<br />

auteni arcus ys^ totus igi-<br />

est. Communis est<br />

tur asy toti ay aequalis est.<br />

Atqui semicirculus est f; ergo etiam y senii-<br />

circulus est. Et semicirculum sy sol diniidio anno<br />

percurrit 4<br />

), quoniam item semicirculum asy; ergo astri<br />

o^ab ortu matutino apparente<br />

occasus matutinus apparens fit<br />

post dimidium annum. Et quia<br />

astra /3 a d siniul oriuntur,<br />

astrurn igitur /3 posterius occi-<br />

dit quam 5<br />

) 7 et d prius occidit<br />

quani<br />

6<br />

). Quapropter niani-<br />

festuni est astri /3 longiore,<br />

astri autem d minore quam dimidii anni tempore inter-<br />

misso occasum matutinum apparentem fieri, id quod iam<br />

demonstrabimus.<br />

3) Hoc non exacte omnino verum est: lege Maurolycum<br />

et Ptolemaei Almagestum lib. 8 ca. 6. AUEIA in marg. p. 10<br />

(conf. G%6Uov *).<br />

4) Conf. G%bUov xy et in appendice 9.<br />

5) Autol. de sphaera 9; conf. etiam Eucl. phaenom. 5.<br />

6) Id est: K posterius occidit quam 8-, valet igitur eadem<br />

quam statim citavimus Autolyci propositio.<br />

Autplycus.<br />

5


66<br />

HEPI EIIITOA&N KAI ATSE&N A.<br />

bai%G)v KvxAog b ABF4,<br />

AEFy xai dvarfhttrco riva apa aGrga ra B A 4,<br />

&v rb {iv B rtab$ aoxrovg, rb $ A Jtl rov codta3ot> ?<br />

rb d z/ nobs ii6r][i/3oiav' hfya on rb B atfroov aito<br />

(paivo[ivrig srtirohrjg &av cpctivoyisvriv 7toiira,i 5<br />

dice TtfotovoQ fiuidovs wiavrov. rb ds 4 di'<br />

^ ovrog rb B vjtO 10<br />

yrjv 6rai. AA rov A dvvovrog rb F dvccr&tei,, ual<br />

b rmv %G)diG)v Kvxkog ftsGiv ^i (&s rrjv ZiKN y rb<br />

d AEF rjiuKVKA,iov h'tirou rb NK y xal b'tirai v7to<br />

AE rtQi,(pQi,a (Srai, &N' rj rov F aoa<br />

rb B vTtQ yv\v iQxiv' rb a@a 6vvavcc- 15<br />

rco B dvvovri id rrjs KZ& 6rl<br />

rb M' rov aoa i]Uov ovrog nobs<br />

rov B atiroov Itirlv TJ aa dArj&wrj dv6<br />

d 16iv ui cpKivoyiVKi TcSv aA,rj&ii>G)v' dik&6vro aoa<br />

rov ykiov 3tQifpQi


DE ORTIBUS ET OCC. I. PROPOS. 4. 67<br />

Sit circulus horizon aftyd et zodiacus asy, et<br />

sirnul oriantur astra quaedam ft a d, quorum ft sit<br />

ad septentriones, a in zodiaco, d ad meridiem; dico<br />

astrurn ft ab ortu matutino apparente occasum matu-<br />

tinuui apparenteni facere longiore, astrum autem d<br />

minore quam dimidii anni tempore intermisso.<br />

Paralleli circuli, per quos<br />

astra ft a feruntur, sint ftq<br />

aft. Et quia ft posterius quam<br />

a occidit 1<br />

), astrum igitur /3,<br />

cum ad occasurn venerit,<br />

super<br />

terram erit. Sed astro<br />

a occidente astrum y oritur 2<br />

),<br />

et circulus zodiacus positionem<br />

habebit velut &V&., et<br />

semicirculus asy iani erit %VK, atque is quidem super<br />

terram, arcus autem as iam erit &v; ergo astro y oriente<br />

astrum ft adhuc super terram est 3<br />

); itaque astrum<br />

aliqiiod, quod eodeni quo ft occidit tempore oritur,<br />

est in semicirculo nCft.<br />

4<br />

Sit astrum fi ); ergo, cum sol<br />

est ad ft, astri ft est verus occasus niatutinus. Sed<br />

apparentes occasus matutini posteriores sunt 5<br />

quam veri );<br />

ergo, postquam sol tantam circumferentiam percurrerit,<br />

ut astrum ft radios eius effugiat, erit astri ft apparens<br />

nunc est, ibi olim fuisse |, ipsi aufcem suus locus inter y<br />

et a (ut in prima et ultima huius theorematis figuris) tribuendus<br />

esse videtur. Conf. in praefatione adnot. ad p. 66, 12 et<br />

infra adnot. ad figuram p. 69.<br />

1) Autol. de sphaera 9 (conf. o%6hov nS).<br />

2) Eucl. phaenom. 6.<br />

3) Conf. 6%6kiov HS et in appendice 10.<br />

4) Conf. G%6'kiQv n et in appendice 11.<br />

5) Autol. propos. 1 huius.


68<br />

HEPI EniTOASiN KAI ATSE&N A.<br />

MO' i'o-rj aya l


DE ORTIBUS ET OCC. I. PROPOS. 4. 69<br />

*<br />

occasus matutinus. Percurrat arcum ^10; ergo arcus<br />

&v ipsi oil aequalis est 1<br />

); itaque arcus OK maior est<br />

quam &v. Communis addatur arcus KV\ ergo arcus<br />

oxv maior est quam xv&. Atqui &VK semicirculus<br />

est; ergo arcus oxv inaior est semicirculo; itaque<br />

astrum /3 ab ortu matutino apparente occasurn matu-<br />

tinum apparentem facit longiore quain<br />

tempore<br />

intermisso 2<br />

).<br />

dimidii anni<br />

lam dico astrum d ab ortu matutino apparente<br />

occasum matutinum apparentem facere minore quam<br />

dimidii anni tempore intermisso.<br />

Quoniam enim astrum d prius occidit quam<br />

a 3<br />

),<br />

astro igitur a occidente astrum d sub terra est. Sed,<br />

cum a occidit, y oritur 4<br />

), et circulus zodiacus positionem<br />

habebit velut ^fo^ ? arcus autem as positionem<br />

velut ^|; ergo, cum y oritur, d adhuc sub terra est;<br />

itaque astrum aliquod, quod eodem quo d occidit tem-<br />

pore oritur, est in semicirculo ^K. Sit astrum v;<br />

ergo, cum sol est ad v [et oritur], d occidit, eritque<br />

is astri d verus occasus matutinus. Sed verus prior<br />

1) Ex constructione scilicet est arcus &v = as (p. 66, 14),<br />

et ex hypothesi, postquam sol arcum as percurrit, astrum (3<br />

soils radios effugit (p. 62, 13 15); ergo propter Autol. de sphaera<br />

propos. 2 et Eucl. elem. 3 def. 11 propos. 26 arcus oft ipsi cce<br />

aequalis est. Conf. praeterea G%O\IOV v.r\ et in appendice 12.<br />

2) Conf. ff^oAiov k et in appendice 13.<br />

FIGURA similis exstat in codicibus A C , habetque littera<br />

eundem locum atque in prima huius theorematis figura (conf.<br />

adnot. ad figuram quae antecedit). Nostra coniectura addidimus<br />

litteram & et lineam 8&, omisimus autem parallelam<br />

circumferentiam xy in A C expressam. In codice E pro figura<br />

est circulus cum inscriptione G%r\\Lct TO> TIQOTSQGJ<br />

3) Vide 3) supra p. 65 adn. 5.<br />

4)<br />

Eucl. phaenom. 6.


70<br />

nEPI EIHTOA&N KAI AT2E&N A.<br />

/<br />

dv Tiva, co6T TO d X(pvyiv<br />

Tag rov<br />


DE ORTIBUS ET OCC. I. PROPOS. 5. 71<br />

est quam apparens 1<br />

); ergo, postquam<br />

sol tantam cir-<br />

cuinferentiam percurrerit, ut astrum d radios eius<br />

effugiat,<br />

erit astri $ apparens occasus matutinus.<br />

Percurrat arcum vxo. Et quia arcus vxo ipsi ^|<br />

2<br />

aequalis est ), arcus igitur ox minor quam vfe. Conimunis<br />

addatur arcus x(j; ergo totus %KO minor est<br />

toto vfyt. Atqui ufy(\ semicirculus est; ergo arcus |HO<br />

minor est semicirculo 3<br />

); itaque sol arcum %KO minore<br />

quam dimidii anni tempore percurrit, ita ut astrum d<br />

ab ortu niatutino apparente occasum matutinum appa-<br />

rentem faciat minore quam dimidii anni tempore<br />

intermisso.<br />

V. Astrorum fixorum ea quae sunt in circulo zo-<br />

diaco ab ortu vespertino apparente occasum vespertinum<br />

apparentem faciunt post dimidium annum, ea<br />

autem quae sunt ad septentriones intermisso maiore,<br />

ea denique quae sunt ad meridiem minore temporis<br />

spatio.<br />

Sit in niundo circulus horizon a/tyd, solis autern<br />

circulus positioneni habeat velut y,<br />

et sit semi-<br />

circulus asy sub terra, et, cum sol in puncto y occi-<br />

dit, astra quaedam fixa /3 a d oriantur, et quideni cc<br />

in zodiaco, /3 ad septentriones, d ad meridiem; dico<br />

astri a ab ortu vespertino apparente occasum vesper-<br />

tinurn apparentem fieri post dimidium annum, astri<br />

1) Autol. propos. 1 huius.<br />

2) Demonstratio similis est ei quam supra ad p. 69 adnotavimus.<br />

3) Conf. G^oUov \a et in appendice 14.<br />

PEOPOS. 5: conf. a%6Jiiov l.<br />

FIGURA similis exstat in codicibus ACE.


72<br />

(5V<br />

IIEPI EIIITOA&N KAI AT2E&N A.<br />

viavrov, roo $ B did nfoiovog, r&<br />

ydg rov ^Uov dvvovrog xard rb F<br />

riva rwv dnhavcov 'avareMsi, rd B A rcov CCQCC<br />

B A z/<br />

ci


DE ORTIBUS ET OCC. I. PROPOS. 6. 73<br />

autem /3 intermisso maiore, denique astri d minore<br />

temporis spatio.<br />

Quoniam enim, cum sol in y occidit, astra quaedam<br />

fixa /3 a d oriuntur, astroruru igitur /3 a 6 est<br />

verus ortus vespertinus (clef. 4). Sed apparens ortus<br />

vespertinus prior est quain<br />

verus 1<br />

). Sint igitur astro-<br />

ruin /3 a d apparentes ortus vespertini eo tempore,<br />

quo sol est ad . Rursus quia<br />

in circulo zodiaco astra<br />

iuxta diaruetrum opposita conjugate et oriuntur et occi-<br />

dunt 2<br />

), astro igitur y oriente astrum a ei opposituin<br />

occidit; itaque, cum y orietur, sol, qui erit ad a, occidet.<br />

Et simul cum sole astrum a occidet, eritque astri a<br />

verus occasus vespertinus. Sed apparens occasus vesper-<br />

tinus prior est quam verus 1<br />

). lam sit astri a apparens<br />

occasus vespertinus eo tempore, quo sol est ad ; ergo<br />

arcus ys ipsi aequalis est. Et similiter ac supra<br />

(propos. 4) demonstrabitur astri a ab ortu apparente<br />

vespertino occasum apparentem vespertinum fieri post<br />

dimidium annum. Et apparet astri /3 intermisso lon-<br />

giore, astri autem d minore tempore quam dimtftii anni<br />

occasum vespertinum apparentem fieri.<br />

VI. Unumquodque astrorum fixorurn, quae ortus<br />

et occasus faciunt, intermisso fere annuo spatio 3<br />

) simul<br />

cum sole oritur verum ortum matutinuni faciens, ac<br />

similiter simul occidit.<br />

1) Autol. propos. 1 huius.<br />

2) Eucl. phaenom. 6.<br />

3) Graeca Si' SVIKVTOV tyyiOTa Auria vertit quasi toto anno;<br />

seel eum nihil aliud voluisse quam quod supra expressurn est<br />

docet scholium 15 infra a no bis repetitum. Ac paulo post in<br />

demonstratione di' iviuvrov (p. 74, 20) idem interpretatur per<br />

annum.


74<br />

HEPI EIIITOA&N KAI ATSESN A.<br />

KVK&OS<br />

AEFZy Kal rov yfa'ov avarek-<br />

Kara TO A aGTOov n<br />

,G) boft&v b ABFz/y b ds rov v\kU<br />

vvavaTskksTG) TO<br />

TOV aoa z/ atiTQOv 6rlv i\ #\<br />

akri&ivYi &a fjrtroATJ. Af^co<br />

on TO z/ aGTQOv di' iviavrov ^<br />

syyiGTa Gvvavarekfai TG) rj<<br />

El ILSV ovv b qfaos dvaTfttas Kara TO A iv oAatg 10<br />

7tQiq)OQats TOV AEFZ KVK&OV diaitoQSvsrai, drjhov<br />

as rb z/ a6TQov Gvvavar&foi T


DE ORTIBUS ET OCC. I. PROPOS. 7. 75<br />

Sit in mundo horizon aftyd, solis auteni circulus<br />

positionem habeat velut aayj, et, cum sol in a oritur,<br />

astruni aliquod fixum d siruul oriatur; ergo astri d<br />

est verus ortus matutinus (def. 2), iam dico astrum d<br />

intermisso fere annuo spatio simul cum sole oriri.<br />

Enimvero si sol, postquani in a ortus est, per<br />

totas conversiones circulum y percurrit ;<br />

astrum d<br />

annuo spatio intermisso simul cum sole oriri apparet.<br />

Sed quia de totis conversionibus deest etiain pars<br />

quaedam<br />

conversionis 1<br />

), parvum quiddam interest, ne<br />

astrum d simul cum sole oriatur. Nam observatum<br />

est unumquodque astrorum fixorum intra quindecim<br />

solis conversiones radios eius<br />

2<br />

effugere ), annus autem<br />

Solaris fit ex totis conversionibus et quarta iiisup&r<br />

3<br />

conversionis parte ); proxime igitur astri d verus ortus<br />

rnatutinus redibit intermisso annuo spatio; itaque unum-<br />

quodque astrorum fixorum, quae<br />

faciunt, intermisso fere annuo spatio<br />

et ortus et occasus<br />

simul cum sole<br />

oritur verum ortum matutinum faciens. Ac similiter<br />

de occasu idem demonstrabimus.<br />

VII. Unumquodque astrum fixum ab ortu<br />

p<br />

vero<br />

matutino vespertinuni ortum verum, itemque ab occasu<br />

1) Totum conversionum numerum CCCLXYI scriptor hoc<br />

loco intellegere videtur, quern numerum ne compleat sol, desunt<br />

tres fere quartae partes unius conversionis. Paulo aliter eandem<br />

rem in proximis significat, quae scholio 16 explicantur.<br />

2) Conf. infra libri 2 propos. 6. Auria in margine p. 17<br />

adnotat Seilicit 15 gradibus; quid tamen intersit, facile intel-<br />

legitur, nam anni dies sunt 365 (et exsuperans quiddam), gradus<br />

auteni 360, quo de discrimine etiam Graecus scriptor tacet.<br />

3) Conf. G^oliov Jid et in appendice 16. Numerus CCCLXV<br />

dierum et quartae diei partis computatur in demonstratione<br />

decimi theorematis Theodosii de habitationibus.


76<br />

nEPi EHITOA^N KAI ATSE&N A.<br />

h'lKvrov fyyitircty xcd dito 67tQicc$ d<br />

Etirco Iv noti^co ooi^cov 6 ABT^d , 6 ds rov vj<br />

%Tco cos ^ v AEFZ, xtti, rov<br />

Kara TO A, atitgov n rcov drthavcov dvcc-<br />

ro ^/' TCO O.QK


DE ORTIBUS ET OCC. I. PROPOS. 8. 77<br />

vero vespertine matutinum occasum veruin intermisso<br />

dimidio fere anno facit.<br />

Sit in mundo horizon afiyd, solis autem circulus<br />

positioneni liabeat velut asy^,<br />

et, cum sol in a oritur, astruni<br />

aliquod fixum d simul oriatur;<br />

ergo astri d est verus ortus<br />

matutinus (def. ); dico astri d<br />

ab ortu vero matutino vesper-<br />

tinum ortum verum fieri diuiidio<br />

fere anno interims so.<br />

Eninivero si sol seniicirculuni aey per totos dies<br />

occasuruni esse 1<br />

), erit-<br />

percurrit, apparet eundem in y<br />

que astri d vespertinus ortus verus intermisso dimidio<br />

anno. At si non per totos dies semicirculum aey<br />

percurrit, parvurn quiddani interest, ne sol simul cum<br />

astro d occidat; itaque astri d ab ortu vero matutino<br />

ortus verus fit fere dimidio anno intermisso.<br />

vespertinus<br />

Ac similiter demonstrabimus astruni d etiam ab<br />

occasu vero vespertino matutinum occasum verum<br />

facere intermisso fere dimidio anno.<br />

VIII. Quaecunque astra in zodiaco circulo sunt,<br />

ea post ultimum. conspectum 2<br />

) vespertinum praebent<br />

primum conspectum matutinum, postquam per aliquot<br />

dies et noctes latuerunt.<br />

*<br />

FIGURA non differt a superiore (p. 74). In codicibus AC<br />

eaedem lineae et litterae repetitae sunt, in E intra circulum<br />

adnotatum est TO avtb G%r^cc.<br />

1) Conf. G%6ho v IE et in appendice 17.<br />

PROPOS. 8: conf. infra libri 2 propos. 6 et in appendice<br />

scholium 18 cum nostra adnotatione.<br />

2) Graecum ydciv Auria apparitionem vertit.<br />

Pr p><br />

g


78<br />

nEPI EIIITOA&N KAI ATSE&N A.<br />

"Etirco sv noticed boi^cov b ARTd , b ds rov<br />

ftsGiv S%STCO cog rrjv AEF, ncti b qhog nogsvcog<br />

knl ra F E A [legy, atiroov ds n rcov<br />

ankcivcov snl rov rcov codicov<br />

xvxkov sdrco rb E, xal rb E<br />

6%drcdg [ii<br />

VTtb rcov rov<br />

~ f , / \ ~ &<br />

rov VMOV ovrog TtQog rco<br />

Z, XQ&fcog ds sxyswysrco rag<br />

rov rjMov avya$ rov v\Uov ovrog<br />

agog rep H, rovrstirw sGrco rov E<br />

citirgov f) ply s


DE ORTIBUS ET OCC. I. PROPOS. 8. 79<br />

Sit in mundo horizon /tyd,<br />

solis autem circulus<br />

positionem habeat velut asy, et sol currat a y per<br />

fixum in circulo zodiaco<br />

ad a 1<br />

), astrum autem aliquod<br />

sit e, idque postremo solis radiis occupetur 2<br />

), cum sol<br />

est ad , primo autem solis radios effugiat 3<br />

),<br />

cum sol<br />

est ad YJ, id est astri e sit ultimus vespertinus con-<br />

spectus, cum sol est ad J, primus autem matutinus<br />

conspectus, cum sol est ad ^ 4<br />

); dico, dum sol arcum<br />

77 percurrit, astrum s non conspici.<br />

Sit enim sol ad & punctum inter g et s situm; ergo,<br />

cum sol est ad #, astrum e non conspicitur oriens 5<br />

);<br />

nam antea astrum #, id est sol, oritur. At idem ne<br />

occidens quidern conspicietur 6<br />

), quoniam ex Jiypothesi<br />

astri s est ultimus vespertinus conspectus, cum sol<br />

est ad ; ergo, cum sol est ad 0-,<br />

spicitur.<br />

astrum s non con-<br />

scriptor supponit arcum gerj a sole percurri duodechna parte<br />

annul cursus, id est diebus triginta.<br />

f<br />

1) Sol quidem iter faciat, verbi gratia, ad partes C, E, A'<br />

(id est yea) vertit Auria, ac posthac similiter.<br />

2) Scilicet postremo occidere videatur. AURIA in marg.<br />

p. 20 (conf. c%ol. As). Vide tamen in appendice adnotationem<br />

ad schol. 18.<br />

3) Scilicet ante appareat oriri, quam sol ipsi appropinqua-<br />

verit, distante tantum sole grad. 15 ab eo. IDEM (conf.<br />

4) Ad hunc locum apposuit Auria scholium, quod in appendice<br />

nostra est undevicesimum , expressum e Graeco fiy. Sed<br />

hoc quidem in codice C adscriptum est ad finem huiuri propositionis<br />

(p. 80, 11), ac similiter brevius illud scholium quod<br />

est in E.<br />

5) Apparebit siquidem oriri ante solis exortum. AURIA<br />

in rnarg. p. 20 (conf. G%oliov A??).<br />

6) Si enim manente sole in puncto apparet, patet quod,<br />

accedente propius, astrum e occidere non videtur. AURIA in<br />

marg. p. 20 (conf. G%6hov A#).


80<br />

HEPI EIHTOA.QN KAI ATSE&N A.<br />

on ovds tov rjMov tr\v ZE<br />

itQi(peQLttv dia7toQvo[ivov to E ccGtoov ov cpcu'vsrat<br />

Aeyca dr\ on ovds tqv EH.<br />

"EGta yao rtdkiv itgoq TG) K 6 Chios' tov ago.<br />

r^iov oVrog ytobs to} K to E ccGtoov ov cpaiVtcu, 5<br />

dvvov 7tQodvvi yag to E tov K, tovts


DE ORTIBUS ET OCC. I. PROPOS. 9. 81<br />

lam similiter demonstrabimus, quocunque olio in<br />

puncto inter 1<br />

J et e sito sol consistit<br />

), id est quoad sol<br />

arcum & percurrit, astrum s non conspici.<br />

lam dico ue eo quidem tempore, quo sol arcum srj<br />

percurrit, astrum s conspici.<br />

Sit enim rursus sol ad K punctum inter e et y<br />

situm; ergo cum sol est ad x,<br />

astrum s occidens non conspi-<br />

citur, quoniam id prius occidit<br />

quam %, id est quarn sol. Neque<br />

vero oriens conspicitur, quoniam<br />

ex hypothesi astri s est primus<br />

matutinus conspectus, cum sol<br />

est ad r\ ; ergo cum sol est ad ; x,<br />

astrum s<br />

2<br />

non conspicitur ).<br />

lam similiter demonstrabimus, quocunque olio in<br />

puncto inter e et it] sito sol consistit, id est quoad sol<br />

arcum srj percurrit, astrum e non conspici. Sed de-<br />

monstratum est ne eo quidem tempore, quo arcum g;<br />

ergo, dum sol totum arcum srj percurrit, astrum s<br />

non conspicitur.<br />

IX. Astra, quae propius ad meridiem sunt quam pr p -<br />

ilia quae sunt in circulo zodiaco, ab ultimo vesper-<br />

tino conspectu primum matutinum conspectum praebent,<br />

postquam per plures dies latuerunt quam astra<br />

quae<br />

sunt in circulo zodiaco 3<br />

).<br />

1) Conf.


82<br />

nEPI EIHTOA&N KAI ATZE&N A.<br />

"E6r& sv Ko


DE ORTIBUS ET OCC. I. PROPOS. 9. 83<br />

Sit in mundo horizon a/ty, maximus autem circulus<br />

eorum qui semper apparent ads,<br />

circulo zodiaco.<br />

solis autem circulus<br />

positionem habeat velut<br />

/3y, astrum autem aliquod<br />

fixum rj sit propius ad<br />

meridiem quam circulus<br />

zodiacus; dico astrum rj<br />

ab ultimo vespertine con-<br />

spectu primum matutinum<br />

conspectum praebere, post-<br />

quarn per plures dies latuit<br />

quam astra quae sunt in<br />

Describatur enim per q maximus circulus A??


84<br />

tK)<br />

HEPI EIIITOA&N KAI AT2E&N A.<br />

'<br />

Xal rOV H CCQCC atirQOV 6%drrj


DE ORTIBUS ET OCC. I. PROPOS. 10. 85<br />

ad #; ergo etiani astri 77 est ultirnus vespertinus con.<br />

spectus, cum sol est ad #. Rursus quia astra 77<br />

simul occidunt, neque vero simul oriuntur, sed prius<br />

1<br />

quam t? ), apparet g prius radios solis effugere. Et ex<br />

hypothesi astri est primus matutinus conspectus, cum<br />

sol est ad K; ergo, cum sol est ad H, astrum 77 nondum<br />

effugit radios solis 2<br />

) ; itaque astrum 77 ab ultimo<br />

vespertino conspectu primum matutinum conspectum<br />

praebet, postquam per plures dies latuit quam astra<br />

quae sunt in circulo zodiaco.<br />

Prop.<br />

X. Ex astris fixis, quae ortus occasusque faciunt 10<br />

ac propius quain circulus zodiacus ad septentriones<br />

sunt, quaedam omnibus noctibus conspiciuntur.<br />

Sit in rnundo horizon /3y, maximus autem circu-<br />

lus eorum qui semper apparent afe, zodiacus autem<br />

FIGTJRAM nostra coniectura descripsimus:<br />

in codicibus ACE hae fere lineae et<br />

litterae exstant:<br />

et cum sol<br />

est ad f, astra<br />

quaedam 77 # ita<br />

posita sint, ut 77<br />

y solis radios primo<br />

effugiat,<br />

ft autem<br />

iisdem postremo


)<br />

86<br />

f<br />

iv fj rov [iv H r\<br />

HEPI EIHTOA&N KAI ATSE&N A.<br />

scocc (pttivoptvn] 7tirohri, rov de &<br />

rj 67tQict cpaivo[ivri dvtftg], xal did rcov H piyi-<br />

Groi xvxhoi ysygKcp&wtiav cpcc7tr6^ivoL rov A4E xv-<br />

xhov of AHKE MK4, cotirs rb plv EHA r)[it,xvxfoov<br />

aGvpitrcorov elvai TO) dnb rov A ijiMcvxMG) cos fal 5<br />

rcc F ft^>^, ro $ 4M rco aitb rov A qiiMvxMa) cos<br />

7tl rcl B fte'pt?, rovr


DE ORTIBUS ET OCC. I. PROPOS. 10. 87<br />

occupetur [id est, ut astri rj sit ortus matutinus ap-<br />

parens 1<br />

),<br />

astri autem # occasus vespertinus appa-<br />

rens 2<br />

)], et per q # rnaximi circuli exqoA (fotbrft<br />

3<br />

) 7<br />

tangentes circulum<br />

ads, ita de-<br />

scribantur,<br />

ut ne<br />

seraicirculus ^o 4<br />

)<br />

concurrat cum eo<br />

qui ab a versus y<br />

tendit, neve semicirculus<br />

d&rt cum<br />

eo qui ab a ver-<br />

sus /3 tendit 5<br />

), id<br />

est,<br />

ut semicircu-<br />

lus srjo congruat<br />

ad ortum, semicir-<br />

culus autem dftit<br />

ad occasum, denique astrum aliquod versus septentriones<br />

sit H; iam dico astrum x omnibus noctibus<br />

conspici.<br />

Ponatur enim arcus kv ipsi ty, arcus autem ku<br />

6<br />

ipsi # aequalis ); erunt igitur etiam fi kv inter se<br />

aequales, quoniam item 0- fy inter se aequales<br />

sunt propterea, quod suppositum est astra aequali<br />

tempore solis radios effugere 7<br />

). Et quia astra 77 A<br />

iuxta diametrum sibi opposita sunt 8<br />

) ; et, cum sol est<br />

6) Theodos. sphaer. 2, 13 citat Auria in marg. p. 24.<br />

7) f Vide Schol. in margine positum in 4. huius' (in nostra<br />

editione p. 65 adnot. 3). AURIA ibidem.<br />

8) Theodos. sphaer. 1,11; scilicet uterque circulonun (3ryyX<br />

s?jX maximus est. Praeterea etiam Theodos. sphaer. 2, 9 Auria<br />

citat in marg. p. 24.


EIIITOA&N KAI ATSE&N A.<br />

cpa fpauvo^vri imroK^ rov yUov ovros jrpog rc3 Z,<br />

(v|3)


DE ORTIBUS ET OCC. I. PROPOS. 10. 89<br />

ad , astrum q matutinum ortuni apparentem<br />

facit 1<br />

),<br />

eiusdem igitur astri vespertinus ortus apparens erit,<br />

cuin sol erit ad v 2<br />

), quia arcus r? ipsi Av aequalis<br />

est 3<br />

). Et quo teinpore sol arcum fyv percurret, eo<br />

astrum ^ a rnatutino ortu apparente ad vespertinum<br />

ortuni apparentem perveniet. Rursus quia ft p iuxta<br />

diametrum sibi opposita 4<br />

),<br />

et arcus # ft inter se<br />

sunt 5<br />

),<br />

aequales<br />

et, cum sol est<br />

astrum #<br />

ad ,<br />

vespertinum occasumapparentem<br />

facit 6<br />

), eiusdem<br />

igitur erit<br />

matutinus occasus<br />

apparens, cum<br />

sol erit ad<br />

7<br />

).<br />

Et quo tempore<br />

sol arcum |/3J percurret,<br />

eo astrum<br />

0- a matutino occasu apparente ad vespertinum occa-<br />

sum apparentem perveniet. Sed quia demonstravimus<br />

unumquodque astrum fixum omnibus noctibus, quae<br />

sunt a matutino ortu apparente ad vespertinum ortum<br />

apparentem, oriens conspici 8<br />

) 7 astrum igitur 17<br />

3) Ut ponitur. AURIA in marg. p. 24.<br />

in<br />

4) Conf. supra p. 87 adn. 8. Theodos. sphaer. 2,9<br />

marg. p. 25 citat Auria.<br />

6) Theodos. sphaer. 2, 13 citat idem.<br />

6) Ut positum est. AURIA ibidem.<br />

et 1,11<br />

7) Conf. 6%6liov vy et in appendice 26.<br />

8) Autol. propos. ,2 huius (conf. G%6liov vd).


90<br />

nspi EIHTOASN KAI ATSE&N A.<br />

avardkhov rov riklov diaitOQEvopEvov rrjv ZFN<br />

rb d H tea K GwavarEkAEi,' (uaiy rb<br />

K aga OQa&iJGErai xa6rrjs vvxrbg avars^ov rov<br />

1<br />

rrjv ZFN 7tQi(pQiav dLa7toQvo[ivov. Ttakw<br />

EXCHJTOV rcov aTtkavwv acrgcov ccitb EOOUQ cpcuvo- 5<br />

dv6G)s xcc6rrjs vvxrbs oQarca dvvov fcog rrjs<br />

cpaivo[iEvrjs dvGEWS, rov a,Qa ri^Cov diarto-<br />

dvvov. rb d atfrgov<br />

rc5 K GvvdvvEi,' xal<br />

rb K CCQCC (pavrjGETai dvvov rov faiov diK7toQvo^ivov 10<br />

rqv &BZ TtEQifpEOEiaV yavrjGErai aga rb K aGroov<br />

vvxrbs dvvov (iv, orav rr\v &BZ 7iois QQctfrriGETtti, ov%i r) dvvov TJ dvccTsikov.<br />

(v) 'EnsiSr] yuQ sv rm vv%d"rj[iQCQ TCCCGKV &SGIV g'^ei 6 ^cad'tttHOS,<br />

^%TCO TOKXVTrjV &8GIV OJGTS TO (JLfV Z (ISTOC T7]V dl%OTO- 25<br />

[itccv slvai TOV BZr Tft^jttaTog, TK Ss B r ini TOV OQ^OVTOS'<br />

OTS yccQ TO Z syyvTSQOJ ytveTai TOV OQIOVTO$, ov-^kn I'^at ti\v<br />

CCVTTJV &GLV ^wdtaXOg WGTE lGr\V SLVttt, TTJV BZ TJj ZF.<br />

1) Conf. G^ol. vs (in appendice 27) et praefat. ad p. 90, 2.<br />

2) Autol. propos. 3 huius.<br />

p. 25.<br />

3) In Scho. 5 in hanc prop, patet hoc. AUEIA in marg.<br />

. Quintum Auriae scholium in nostra editione est 27.


DE ORTIBUS ET OCC. I. PROPOS. 10. 91<br />

omnibus noctibus, dum sol arcum fyv percurrit, oriens<br />

conspicitur. Simul autem cum rj oritur K *) ; ergo<br />

etiam astrum it, dum sol arcum gyv percurrit; omnibus<br />

noctibus oriens conspicietur. Rursus quia unumquodque<br />

astrum fixum omnibus noctibus, quae sunt a matutino<br />

occasu apparente ad vespertinum occasum apparentem<br />

occidens conspicitur 2<br />

), astrum igitur -91<br />

, dum sol arcum<br />

|/3f percurret, occidens apparebit. Simul autem<br />

cum # astro oc-<br />

cidit K 3<br />

) ; ergo<br />

etiam H, dum sol<br />

arcum |/Jg per-<br />

occidens<br />

curret ,<br />

apparebit ; ergo<br />

astrum K omnibus<br />

noctibus occidens<br />

quidem, dum sol<br />

arcum |/3g percur-<br />

ret, oriens autem,<br />

dum arcum Jyi/,<br />

apparebit.<br />

Sic igitur nianifestum est astrum x et occidens et<br />

oriens appariturum esse, dum sol circumferentiam<br />

%Kyv percurrit (hoc enim statim denionstravimus);<br />

iam dico illo etiam tempore, quo sol arcum V\L^ percurret,<br />

astrum K omnibus noctibus 4<br />

conspectum iri<br />

).<br />

Supponatur enim arcum f}r\ ipsi yd aequalem<br />

4) Simpliciter videbitur: non autem vel oriri vel occidere.<br />

AURIA ibidem (conf. a#6L v$).


92<br />

nEPI EIHTOA&N KAI ATSE^N A.<br />

fcq ago. xal r\ PA rrj BM' cotirs xal YJ FN rij B&<br />

for] eGTiv. xccl etinv sxarsga rwv B& FN {isftcov<br />

Maregag r&v HZ Z@, rag d IIEL&VS 7tQicpQiag<br />

drt%ovros rov yMov vnb rov OQI&VTK excpsvysi, ra<br />

tecs tov rjhtov avyccs, entire rov f}Movy cog vvv 5<br />

6 rcov ^co^t'cav xvxAog -O'eVfcog, dLKTto^svo^svov<br />

tr\v NMS JtSQicpSQeiav Ttdvra ra atirgcc yaCvsrcu ra<br />

snl rqs BZF TieQiyegsias' xal rl K aga (pavqcfercu*<br />

ro a$a K sxaGrrjs vvxrbs oga&riGsrcu.<br />

"On ds sxarsga rav B& FN excczsqas XK>V HZ 10<br />

Z@ [i%G)v etiri, (pav$ov. Marsha yap rav HZ Z<br />

dva ijiiiGv i6nv tydiov (rovra ya.Q %Qr}


DE ORTIBUS ET OCC. I. PROPOS. 10. 93<br />

esse 1<br />

); ergo arcus j>A ipsi /3ft aequalis, itaque etiain<br />

yv ipsi /3<br />

2<br />

aequalis est ). Et est /3 maior quam ??,<br />

et yv maior quain<br />

s<br />

ffi ) } quo autem niaiorem circuni-<br />

ferentiain sol sub horizonte distat, eo magis astra<br />

radios eius effugiunt<br />

4<br />

); itaque, qua-<br />

lis nunc est posi-<br />

tio circuli zodiaci,<br />

duni sol circuni-<br />

ferentiam v\&, percurrit,<br />

omnia<br />

astra ; quae sunt<br />

in circumferentia<br />

P&, apparent 5<br />

);<br />

ergo etiam astrum<br />

x apparebit; ergo<br />

astrum K omnibus<br />

noctibus conspicietur.<br />

Sed arcum /3 maiorem esse quam ^, et yv ma-<br />

1<br />

iorem quam f-9 , apparet. Nam uterque arcuuni ^<br />

1<br />

J-9<br />

dimidia pars eius circumferentiae est ? quam unum<br />

zodiaci signum obtinet 5<br />

) hoc enini lemmate etiam<br />

in libro de habitationibus usi sumus 7<br />

) ergo arcus<br />

^-9- unum signum obtinet 8<br />

); itaque etiam arcus Aft 9<br />

);<br />

10<br />

obtinet ); ergo arcuum ;<br />

ergo arcus vft| duo signa<br />

4) Conf. G%oKiov | et in appendice 30.<br />

5) Conf. G%6kLov |a et in appendice 31.<br />

6) f<br />

grad. 15.' AURIA in marg. p. 26.<br />

7) Prop. 10. 11. 12. Theodosii. AURIA ibidem.<br />

8) c<br />

9)<br />

10)<br />

grad. 30.' IDEM.<br />

Est enim ipsi ryd- aequalis. IDEM.<br />

f<br />

grad. 60.' IDEM. Praeterea conf. G%6liov |(3 et in<br />

appendice 32.


94<br />

HEPI EniTOASiN KAI ATSE&N A.<br />

rcov dva<br />


DE ORTIBUS ET OCC. I. PROPOS. 11. 95<br />

qui restant, rj$ &v uterque quattuor signa et dimidium<br />

obtinet. Sed uterque arcuum f$rj %y duo signa<br />

et dimidium obtinet; ergo arcuum, qui restant, /3 yv<br />

uterque maior est quam ^ &&" 1<br />

).<br />

Prop.<br />

XI. Nullum eorum astroruni, quae in circulo zo-<br />

diaco aut propius ad septentriones sunt, per totum<br />

conspicuum hemisphaerium<br />

ferri videtur 2<br />

), quae autem<br />

astro, versus meridiem nee plane propinqua circulo zo-<br />

diaco sunt, fieri potest ut per totum conspicuum he-<br />

misphaerium<br />

ferri videantur.<br />

Sit in mundo horizon a/tyd, zodiacus autem tf/3s,<br />

astra autem quaedam versus orientem sint a d y 3<br />

),<br />

et d quidem in circulo<br />

zodiaco,<br />

a autem versus<br />

septentriones , denique y<br />

versus meridiem; dico ne-<br />

que d astrum neque a per<br />

totum conspicuum hemi-<br />

sphaerium ferri videri,<br />

quaedam autem eorum,<br />

quae sunt versus meridiem,<br />

velut y, fieri posse ut ferri<br />

videantur per totum con-<br />

spicuum hemisphaerium.<br />

2) Conf. a%6hov |y et in appendice 33.<br />

FIGURAM secundum verba scriptoris delineavimus in<br />

;<br />

codicibus ACE praeter horizontem nihil exstat nisi zo-<br />


96<br />

nEPI EIHTOA&N KAI ATSE&N A.<br />

vitb yr{v TO 4EB fyixvxfaov, nal q>ca-<br />

ra A J P avatehlovra TOV rjMov OVTO$<br />

tos E. STtel ovv TCC sal rov ^wdiaKOv K^TQCC<br />

di,a[iTQOv ovra ncttcc Gv^vyiav ttvatekksi xal dvvi,<br />

rov KQCC z/ dvvovTOg TO KKTCC did[iTQOv KVTG) TO B 5<br />

, xal TO 4EB rHiiKvukiov iv TG) VTCSQ<br />

CCQCC dvvei TO d aGrgov OVK KQK TO<br />

K6TQQV 6


DE ORTIBUS ET OCC. I. PROPOS. 12. 97<br />

Sit enira seniicirculus deft sub terra, et astra cc d<br />

y oriri videantur, cum sol est ad e. Iain quia astra<br />

in zodiaco iuxta diametrani opposita coniugate oriun-<br />

tur et occidunt 1<br />

), astro igitur d occidente oppositum<br />

ei astrum ft oritur, et seniicirculus dsfi super terram<br />

erit; ergo astrum d interdiu occidit, itaque non per<br />

totum conspicuuni henii-<br />

sphaerium<br />

Et quia astra a d simul<br />

ferri videbitur.<br />

oriuntur, et astrum a versus<br />

septentriones est, posterius<br />

igitur a 2<br />

quam d occidit ).<br />

Sed interdiu d occidit; ergo<br />

etiam cc interdiu occidet;<br />

itaque a non per totum con-<br />

spicuum hemisphaerium<br />

ferri videbitur. Rursus quia<br />

astra y d simul oriuntur,<br />

d igitur posterius quani


98<br />

HEPI EIHTOASN KAI ATSE&N A.<br />

dv6tai xal avarskst tov yhiov ovtog iv rc5 VTCO<br />

ahkov ds tovta L'Gov IQOVQV to aGtoov ovt dv6tat<br />

ovt avat&t tov J]^LOV ovtos iv ta VTCO yrjv.<br />

"E


DE ORTIBUS ET OCC. I. PROPOS. 12. 99<br />

anno deest, et Occident et orientur, dum sol erit in<br />

hemisphaerio quod sub terra est, altero autem aequali<br />

tempore neque Occident neque orientur, dum sol erit<br />

in eodem sub terra hemisphaerio.<br />

Sit in mundo circulus horizon cc/Hyd, solis autem<br />

circulus positionem habeat velut y,<br />

et sole in a<br />

oriente astrum aliquod d versus meridiem situm oria-<br />

tur; ergo astrum d ab ortu vero matutino occasum<br />

verum matutinum facit minore quam dimidii anni<br />

spatio intermisso *); iarn dico eo tempore, quod de<br />

dimidio anno deest, astrum d et occasuruni et oriturum<br />

esse, dum sol erit in JiemispJiaerio quod sub terra<br />

est, altero autem aequali tempore astrum d neque occasurum<br />

neque oriturum esse, dum sol erit in eodem<br />

sub terra hemispJiaerio.<br />

est ad<br />

Sit enini astri d verus occasus matutinus, cum sol<br />

2<br />

). Quo igitur tempore sol arcum as pereurrit,<br />

eodem astrum d ab ortu matutino vero ad occasum<br />

matutinum verum pervenit; tempus igitur , quod de<br />

dimidio anno deest, illud est, quo sol arcum sy per-<br />

currit. Et quia, cum astrum d in puncto d oritur,<br />

F1GURA similis exstat in codicibus ACE, et est aequalis<br />

illi quam ad propos. 5 p. 70 edidimus.<br />

1) Ex hypothesi astri 8 est ortus verus matutinus, cum<br />

sol ad K oritur; eiusdem autem astri, ut scholio | demon-<br />

stratur, occasus verus matutinus fit, cum sol est ad ; ergo,<br />

dum sol arcum as percurrit, astrum d ab ortu vero matutino<br />

ad occasum verum matutinum pervenit (conf. p. 98, 19 22). Et<br />

tempus, quo sol arcum as percurrit, minus est dimidio anno.<br />

Conf. similem demonstrationem in fine Graeci scholii 77 sive<br />

Latini 36. [Quod Auria in marg. p. 32 propositionem 11 huius<br />

libri citat, respexisse videtur verba astrum aliquod d versus<br />

meridiem situm, sed tamen haec ab ilia propos. aliena sunt.]<br />

2) Conf. 6%cliov | et in appendice 35.<br />

7*


100<br />

HEPI EIHTOAaN KAI ATSE^N A.<br />

s%i rr\v avrijvy xal stirai TO yiev AEF<br />

xfaov iv r& vnb y^v., to ds koinbv iv rco vnsQ yr^v<br />

rb FZA. xal roivvv., orav to z/ dvarsMr) KCC ^ ?^og<br />

rr]v AEr nsQicpSQSiav dianoQsvrjrai., sv TG> vito yr^v<br />

'<br />

'<br />

diehsvGsrai, Stirs xal rr\v FE rov aQa qMov 5<br />

avryv<br />

T^V FE 3tQlCpQlttV dia^tOQEVO^lEVOV iv t(p VTtO y^V,<br />

rb A atirgov dvareMsi, taV, ov itdvr&s ds xal yaviq-<br />

(Ssrai avars'Mov. xsfa&co dq rrj EF TtegKpSQSia i'tiq<br />

rs xal ttTtevavriov q AZ, xal sjtsl rov /I aGrgov 6rlv<br />

ri eaa akri&ivri dvGig rov qMov ovrog nobs to) E, 10<br />

drjAov cog rov z/ dvvovro$ b ^Af-og uvaxiKtei xara rb<br />

E xal n rb plv EFZ rnii,xvxht,ov iv rot vnb y^v<br />

6rai,, rb ds koiTtov sv rev vnlg yrjv rb ZAE' xal<br />

roivvv, orav rb z/ dvvrj xal b r^Uos rqv EFZ itQi-<br />

(pQiav dianoQSvqrai,) iv r& vrtl y^v avrqv difhsv- 15<br />

Gsrai' co6r xal rr\v EF* rov aQa riMov rqv EF 7tai-<br />

cpsasiav dia7toQSvo[ivov sv r& vnb yijv, rb z/ aGroov<br />

dvvi. tdeiffiri d\ xat, rov faiov ri]v EF 7toicpeQiav<br />

dianoQVO{JiEvov iv rc5 vnb yfjV) rb z/ aGroov dvarskkov'<br />

rov aQa ri^Cov TJ\V EF rtQi(pQiav diaitoQSvo-<br />

20<br />

ftfVov sv rc5 V7tb yv\V) rb z/ atirQov<br />

xal dvGsrai xal<br />

dvarsfal. keym dq on,, rov ri^iov diaitoQBvo^idvov<br />

rj]v ZA 7tQL(pSQEiav vnb yi\v, rb z/ adrQov ovr dv-<br />

VEL OVTE dvarsMEi, [rov qMov ovrog iv rc5 vnb yijv].<br />

'Ensl yaQ rov z/ atirQov avarsMovros rb plv AEF 25<br />

riiLXvxfaov iv r vnb yr^v iGxiv,<br />

rb ds FZA iv ro5<br />

vnsQ yr^v, xal roivvv, orav rb z/ avarM,r] xal b ijAtog<br />

rqv FZA nsQupsQsiav dianoQsvqrai,, iv ru vnsQ yi]v<br />

amr}v disksvGsrai' Stirs xal ryv ZA' rov aQa ^Atov<br />

ryv ZA nsQicpsQSiav iv rc5 vnEQ yr\v dtanoQvo[ivov, 30<br />

ro z/ atirQOv avarelKsi. naliv, tnsl rov z/ dvvovros


DE ORTIBUS ET OCC. I. PROPOS. 12. 101<br />

zodiacus circulus semper eandem positionem habet, et<br />

sernicirculus asy sub terra, reliquus autem ya super<br />

terrain erit, cum igitur d orietur et sol semicirculum.<br />

aey percurret, hunc percurret in JiemispJiaerio quod<br />

sub terra est; itaque etiam arcum ey, ergo cum sol<br />

arcum sy sub terra percurrit, astrum quidem d oritur,<br />

nequaquam tainen etiam oriens conspicietur. lam<br />

ponatur arcui sy aequalis et oppositus arcus a, et<br />

quia astri d occasus verus matutinus est, cum sol esfc<br />

ad , apparet solem, cum astrum<br />

d occidit, in puncto s oriri, et<br />

semicirculum sy sub terra, re-<br />

liquuni autem cce super terrain<br />

futurum esse; ergo etiam, cum<br />

astrum d occidet et sol arcum<br />

, percurret,<br />

hunc percurret in<br />

Jiemisphaerio quod sub terra est 5<br />

itaque etiam arcum cy; ergo, cum sol arcum ey<br />

sub terra percurrit, astrum d occidit. Sed demonstra-<br />

vimus etiam, cum sol arcum sy sub terra percurrit,<br />

astrum d oriri; ergo, cum sol 'arcum sy sub terra<br />

percurret, astrum d et. occidet et orietur. lam dico,<br />

cum sol arcum ga sub terra percurrit, astrum d ne-<br />

que occidere neque oriri.<br />

Quoniani enim, cum astrum d oritur, semicirculus<br />

asy in JiemispJiaerio sub terra, semicirculus autem y&<br />

super terram est, cum igitur astrum d orietur et sol<br />

arcum y^a percurret, hunc super terram percurret;<br />

itaque etiam arcum ; ergo, cum sol arcum & super<br />

terram percurrit, astrum d oritur. Rursus, quia astro<br />

d occidente semicirculus &s in JiemispJiaerio super


102<br />

HEPI EIHTOASiN EAT ATSE&N A.<br />

TO [ilv ZAE rHLiXvukiOV sv<br />

EPZ iv TK> vnb yv\V) x^<br />

i<br />

xal o TfAtoj Tr\v ZAE jtQi(pBQiav diartOQsvrjTai,.,<br />

sv rc5<br />

vnQ yr\v avTrjv dizkevdsrcti' &6TS ual T^V ZA' TOV<br />

KQK ^LOV Tr]V 2.A diCC7tOOV0^8VOV V TK> V7tQ yfjV, 5<br />

TO d UtiTQOV Xal dvGSTCU XCtl KVKT^l' G)6T, TOV<br />

T^V ZA TtZQiysQziav di,a7toovo^Bvov iv TG> vitb<br />

TO A CC nhftcov 6Tiv 6<br />

60V IviKVTOV, TOVTOV TOV %QOVOV TO CC6TOOV OVTS<br />

OVT avaT. TOV rjov OVTOS V T<br />

avTG) i'6ov %QOVOV xcci dv


DE ORTIBUS ET OCC. I. PROPOS. 13. 103<br />

terrain et semicirculus j> sub terra est, cum igitur<br />

astruni d occidet et sol arcum as percurret, hunc<br />

super terrain percurret; itaque etiam arcum g; ergo,<br />

cuni sol arcuin fa super terram percurret, astrum d<br />

et occidet et orietur; itaque, cum sol arcuin a sub<br />

terra percurret, astrum d neque occidet neque orietur.<br />

XIII. Si quae astra ab ortu vero matutino occa- 13<br />

sum veruin inatutinuin maiore quam dimidii anni<br />

spatio intermisso faciunt, haec eo tempore, quod dimidium<br />

annum superat, neque Occident neque orien-<br />

tur, dum sol erit in hemisphaerio quod sub terra est,<br />

altero autem aequali tempore et Occident et orientur,<br />

dum sol erit in eodem sub terra hemisphaerio.<br />

Sit in mundo horizon /tyd,<br />

solis autem circulus<br />

positionem habeat velut ccsy^ semicirculus autem asy<br />

sub terra sit, et sole in a oriente astra quaedam fixa<br />

a ft d, quorum ft<br />

sit versus<br />

septentriones, oriantur; ergo<br />

astrum /3 ab ortu vero matu-<br />

tino occasum verum matutinuin<br />

facit maiore quam<br />

dimidii anni<br />

iam dico<br />

spatio intermisso 1<br />

) ;<br />

eo tempore, quod dimidium annum<br />

superat, astrum /? neque<br />

occasuruin neque oriturum esse, dum sol erit in he-<br />

misphaerio quod sub terra est, altero autem aequali<br />

FIGURA similis exstat in codicibus ACE, et est aequalis<br />

illi quam ad propos. 4 p. 63 post vs. 3 edidimus.<br />

1) Conf. G%O\LOV %r\ et in appendice 36.<br />

'


104<br />

nEPI EIIITOA&N KAI AT2E&N A.<br />

rov 'Yikiov ovroq iv r& vttb yyV) akkov de rovrcp i'tiov<br />

%oovov TO B CCGTQOV<br />

ijAtW ovzos iv TG) vjtb yr^v.<br />

xal dvtierai xal avarekel rov<br />

yag rov B aGrQov r\ fcocc aArj&ivrj dv6i,s rov<br />

diek&ovrog rj]v AEFZ 7tQi


DE ORTIBUS ET OCC. I. PROPOS. 13. 105<br />

tempore astrum /3 et occasuruin et oriturum esse, duin<br />

sol erit in eodem sub terra Jiemisphaerio.<br />

Sit enira astri /3 occasus verus matutinus, cum sol<br />

circuraferentiam y percucur-<br />

rit et ad g pervenit; tempus<br />

igitur, quod diinidium annum<br />

sol ar-<br />

superat ; illud est, quo<br />

cum y percurrit; dico, dum sol<br />

arcum yg sub terra percurret,<br />

astrum /? neque occasurum ne-<br />

que oriturum esse.<br />

Quoniam enim, cum astrum a oritur, semicirculus<br />

asy in Jiemisphaerio sub terra, semicirculus autem yga<br />

super terram est, cum igitur astrum /J orietur et sol<br />

semicirculum yga percurret, hunc super terram per-<br />

curret; itaque etiam arcurn yg; ergo,<br />

cum sol arcum<br />

yf super terram percurret, astrum quidem /5 oritur<br />

neque tamen oriens conspicietur. lam ponatur arcui<br />

yf aeqnalis et oppositus , et quia astri /3 occasus<br />

verus matutinus est, cum sol ad g 1<br />

), astro igitur ft<br />

occidente sol in puncto f oritur. Sed cum g oritur,<br />

a occidit 2<br />

). Et semicirculus sy super terram, semi-<br />

circulus autem sub terra erit; ergo etiam, cum /3<br />

occidet et sol semicirculum yg percurret, hunc per-<br />

curret in liemisphaerio quod super terram est; itaque<br />

etiam arcum yg; ergo, cum sol arcum yf super terram<br />

tamen con-<br />

percurrit, astrurn quidem /3 occidit neque<br />

spicietur; ergo, cum sol arcum yf super terram per-<br />

cum sol<br />

currit, astrum /3 et occidit et oritur; itaque,<br />

1) Ut ponitur. AUBIA in marg. p. 35.<br />

2) End. phaenom. 6.


106<br />

nEPI EIHTOA&N KAI ATSE&N B.<br />

TO B atiToov OVTS dvtfsTat, OVTS dvaTsksi. hsya dr]<br />

OTfc, TOV falOV TV]V AE TCSQiySQSiaV diaJtOQSVOjJLSVOV<br />

ev T& vno yv\V) TO B CCGTQOV xal dvtisTai, xal dvaTekst.<br />

'Ensl yaQ TOV B avaTsMovTog TO [lev AEP r.yu-<br />

iv raj vjtb yv\v s6Ti, TO ds FZA iv ro5 vnsQ 5<br />

xal ToivvVj OTKV TO B dvctTskhr] ual o ijAtog rr\v<br />

AEF diaitoaevrjTKi, iv ?& vitb yr\v avTijv dishevdSTcu,'<br />

xal Trjv AE. Ttdkiv, snd TOV B dvvovTog TO<br />

ZAE 6Tlv iv T& vitb yr^v TO ds ZFE BV rc5<br />

yr\v, nod roivvv, orav TO B dvwfl xal 6' fjAtog 10<br />

ZAE diaTtoasvrjTai,, iv T& VTCO yrp avTriv diskev-<br />

SOTS xal TJ]v AE' rov ccga qkiov T}\V AE<br />

7tQl


DE ORTIBUS ET OCC. II. PROPOS. 1. 107<br />

arcuin 7>g sub terra percurret, astrum /3 neque occidet<br />

neque orietur. lam dico,<br />

cuin sol arcum as sub terra<br />

et occasuruni et orituram esse.<br />

percurret, astruni /3<br />

Quoniam enim, cum /3 oritur, semicirculus aey in<br />

hemisphaerio sub terra ; semicirculus autem yga super<br />

terrain est ? cum igitur astrum /3 orietur et sol seini-<br />

circulum ccsy percurret, hunc sub terra percurret; ita-<br />

que etiani arcum as. Rursus, quia astro /3 occidente<br />

semicirculus J sub terra 7 semicirculus autein fye<br />

super terram est, cum igitur astrum /3 occidet et sol<br />

semicirculum f percurret, hunc sub terra percurret;<br />

itaque etiam arcum t; ergo, cum sol arcum ae sub<br />

terra percurret, astrum /3 et occidet et orietur.<br />

AUTOLYCI<br />

DE ORTIBUS ET OCCASIBUS<br />

LIBER II.<br />

Propositiones.<br />

I. Zodiaci unurn dodecaternorion<br />

Prop.<br />

1<br />

), in quo esf sol,<br />

1<br />

neque oriens neque occidens conspicitur,<br />

sed occulta-<br />

tur; similiter etiam id ; quod huic iuxta dianietruin<br />

oppositum est ; neque occidens neque orieus videtur,<br />

sed per totas noctes super terram apparet.<br />

1) Conf. G%6hov a et in appendice 37 et 38.


108<br />

HEPI EHITOA^N KAI ATSE&N B.<br />

6 rwv tydi&v KVK&O$ b AB, OQ%(DV<br />

8s b<br />

? Kal dvaroAr] plv rov rjMov sGrco siti rov 4,<br />

(ft)dv6i$ ds Bid rov F y Kal b xotifios djtb *% d ava-<br />

roMj$ STtl dvtiiv rv\v F 6TQg)E6&a), 6 ds qfaos sts tec,<br />

svavtla TG) ^c)di^a5 KivBfa&ta,, xal a^cctA^'O'a) codt'oi> 5<br />

7CQi(pQia rj 4E, xal rsT^ri^o di%cc<br />

Kara ro Z*<br />

Aayoj on, r] E4 7tQicpQia ovrs avarsMovtia ovrs<br />

dvvovGa, oouraiy ovds [irjv 17 xara SiapzrQQV) dMa<br />

rv\v vneQ yrp> tpogav yavsQav noiov^evvi rov<br />

ovroq vrtb yr\v.<br />

pay vitonsirai ra$ avya$ fygtsvyew ra<br />

rag rov ^Atou, sav rov boi&vros vTtb yr^v<br />

t,(pdiQv d7t%r] b fjAtog, r^ii(5ovq ds ^cpdiov scfrlv r\<br />

7tSQt,cpQe(,a , rov CLQK yhtov snl rov Z ovrog rb 4<br />

scpav tpaivoiievrjv avaro^v Ttotstrai' vj aga 16<br />

7tQi(pEQia vvxrbs avarskkovGa ov% oQarai. drj&ov<br />

(y) ds on ovds rj ZE avarshhovda boarai,' ohq aoa r\ E4<br />

TtsQitpsosia dvars'Movtia ov% bgarai. dt ra avra dq<br />

(d)ovds [dvvovGa bgarai,] oA^ ^ E4 itSQKpsQsia rov<br />

ijMov ovrog<br />

iiti rov Z ovrs dvarsk2.ov


DE ORTIBUS ET OCC. II. PROPOS. 1. 109<br />

Sit zodiacus circulus a/3, horizon autem yd, et<br />

'<br />

ortus solis sit in puncto d ; occa-<br />

sus auteni in y, et mundus ab<br />

ortu 6 ad occasum y conver-<br />

tatur, sol autem in contrarias<br />

zodiaco partes moveatur, et inter-<br />

cipiatur unius signi circumferen-<br />

tia ds eaque bifariam secetur<br />

in ,<br />

dico circumferentiam sd<br />

neque orientem neque occidentem<br />

conspici, neque vero alteram iuxta diametrum<br />

oppositam, quae quidem oninem super<br />

sioneni facit ; dum sol sub terra est.<br />

terram conver-<br />

Quoniam enim suppositum est astra solis radios<br />

effugere, si sol sub terra ab horizonte dimidii signi<br />

1<br />

partem distet ), circumferentia auteni gd dimidii signi<br />

est 2<br />

) ? astrum igitur d, cum sol est ad g, facit matu-<br />

tinuni ortum apparentem; ergo circumferentia Jd<br />

non conspicitur noctu oriens. Sed nianifestum est<br />

ne Jf quidem circumferentiam orientem conspici 3<br />

);<br />

tota igitur e$ circumferentia non conspicitur oriens.<br />

lam eadem ratione tota sd circumferentia, cum sol<br />

est ad J, neque oriens neque occidens conspicitur 4<br />

),<br />

neque vero altera yrj^ quae iuxta diametrum ei opposita<br />

est 5<br />

). Nam dum circumferentia sd oritur, ipsa yrj<br />

FIGURA similis extat in codicibus ACE, nisi quod litterae<br />

s latins inter se distant ac paene totum fid quadrantem<br />

obtinent.<br />

1) f<br />

grad. 15.' AURIA in marg. p. 38.<br />

2) Conf. in appendice scholium 40.<br />

3) Conf. G%6%iov y et in appendice 41.<br />

4) Conf. G%o1iQv 3 et in appendice 42.<br />

5) Conf. 6%6hov s et in appendice 43.


110<br />

IIEPI EIHTOA&N KAI ATSE&N B.<br />

'<br />

f) KQO. Ed itQi(pQia ovrs a<br />

() kovGK ovre dvvovtia ogatai, ovds p^v q Kara<br />

o^r\v rqv VTCSQ yrjg cpogav (pavQav 7toiov[ivv].<br />

. T&v dcodwcc ^wdiav TO TtQoriyov^vov TOV iv<br />

6 faos hwtiKtov &ov


DE ORTIBUS ET OCC. II. PROPOS. 2. Ill<br />

ei opposita oceidit, dum autem sd occidit, opposita<br />

oritur 1<br />

); ergo circumferentia sd neque oriens neque<br />

occidens conspicitur, neque altera quae ei opposita est,<br />

sed totum supra terram motum apparentem faciens 2<br />

).<br />

II. Ex duodecim signis<br />

id quod illud antecedit, Pr p -<br />

in quo est sol, mane oriens conspicitur, id autem quod<br />

sequitur vesperi occidens.<br />

Sit zodiacus circulus a/3, hori-<br />

zon autem yd, ei dodecatemorii<br />

circumferentia auferatur sd, in<br />

qua media sit sol,<br />

et antecedens<br />

soli dodecatemorion sit dy, se-<br />

queus autem eft",<br />

dico circuni-<br />

ferentiam dy matutinum ortum,<br />

circuinferentiam autem e& ve-<br />

spertinum occasuin facere.<br />

Circumferentia enim dq, quoniam plus dimidiam<br />

signi circumferentiam distat, oriens conspicitur, ita- ,<br />

que ortuni matutinum facit, ipsa autem ds non conspicitur<br />

oriens, neque vero ipsa s& interdiu oriens con-<br />

Sed dum mundus convertitur, circumferentia<br />

spicitur 3<br />

).<br />

drj ortum matutinum facit, ipsa autem ds non conspici-<br />

tur oriens; denique circumferentia s& plus dimidii signi<br />

circumferentiam distans occidens apparet 4<br />

)-, itaque #<br />

occasum vespertinum facit, dr) autem ortum matutinum.<br />

citatur).<br />

1) Eucl. phaenom. 11 (aliter scholio Graeco


112<br />

HEPI EHITOASiN KAI ATSE&N B.<br />

/. 'Ev rc5 rrjg vvxrog XQovw svdsxa gcodtW Ttsai-<br />

ftscaQstrat,, | [isv rwv Ttooavarsrahnorav, Ttsvrs<br />

ds r&v avarskkovrwv.<br />

raiv fydtcov uvxAog b AB, bgftav de 6 Fz/ ?<br />

rov Z. Insl ovv vitoKSirai, ra<br />

avyag rov ovtog<br />

Z rortov, drilov on rb F atirgov<br />

EtiitsgCav (faivQ^ivr\v<br />

o<br />

rag rov<br />

iitl rov<br />

dvtiw TCOL-<br />

FE,<br />

Eltai. Stirs oAov rb T*AA ??^xvxkiov<br />

| tydtaov stiri' froirt&v &<br />

xal TCsl 5<br />

aga ?| co


DE ORTIBUS ET OCC. II. PROPOS. 3. 4. 113<br />

III.<br />

P<br />

Nocturno tempore undecim signorum circuni- 3<br />

Pr p '<br />

terentia 1<br />

) conspicitur ; sex quidem eorum quae antea<br />

orta sunt, quinque autem eorum quae oriuntur.<br />

Sit zodiacus circulus /3, horizon autem yd, et<br />

auferatur unius signi circumferentia ye, in qua media,<br />

id est in puncto ,<br />

sit sol. Iain quia supposition est<br />

astra sob's radios effugere, cum sol est in loco f,<br />

manifesto astruin y vespertinum occasuin apparentem<br />

facit; ergo totus yad semicirculus sex Cum igitur<br />

signorum est^<br />

in semicirculo yfiS reliqua shit sex signa,<br />

quorum unurn ye a sole oecupatur 2<br />

), reliqua quinque<br />

sunt orientia; ergo undecim signa apparent.<br />

IV. Astrorum fixorum ea, quae a zodiaco sive ad<br />

septentrionales sive ad meridianas partes intercipiuntur<br />

3<br />

), a niatutino ortu ad vespertinum ortum quinque<br />

rnensium spatio pervenient.<br />

Sit circulus a/3 apparentem et occultam partem<br />

distinguens, et tropici sint yd e, aequinoctialis autem<br />

1<br />

^O , zodiacus autem circulus xr]A.&, et tria astra ^ 0* v<br />

in ortu sint; dico astra ft # v a niatutino ortu vesper-<br />

tinum ortum facere intermisso quinque rnensium spatio.<br />

1) Hie intelligit circumferentiam cHRecatimorium. AURIA<br />

in marg. p. 42 (Graeca scilicet nsQirpsQStKi ftecogovvtai, inter-<br />

pretans: vide praefat. ad p. 112, 1. 2).<br />

F1GURA similis exstat in codice E, nisi quod ibi litterae<br />

^ aequalibus fere spatiis inter y {3 dispositae sunt. In AC<br />

notae s desunt.<br />

2) Autol. propos. 1 huius.<br />

PROPOS. 4: conf. libri primi propos. 2.<br />

r<br />

3) lnerrantiuin astrorum, quaecunque quidem sub Zodiaco<br />

circulo vel ad partes Septentrionales, vel ad Meridionales sita<br />

sunt' vertit et in margine hoc scholium addit Auria: c<br />

Zodiaco<br />

s- [id est scilicet] vel ad septentrionem vel ad Meridiem posito.'<br />

Conf. 6%6lLov iy et indicem nostrum s. aTto^K<br />

Autolycus.<br />

8


(te)<br />

114<br />

HEPI EIIITOA&N KAI ATSE&N B.<br />

tydiov TtSQicpEQeia ^ 8,<br />

wz rs-<br />

di%a Kara rb O,<br />

vvv ftfv drj (pttv avarohrjv itoi^Btai ra M & N, b<br />

KCLI sitl rov O s6ro b<br />

ds ijhiog sis f& svavrCa rav t,G)diK>v xcvov^isvog TCSVTS<br />

fypdfav TtSQicpsQSiav >artt^ftfd'iO,<br />

nal etiro STCI rov II<br />

rojtov CCTCO [ilv aga rov O rojiov o ^'Ato<br />

7tvrs ^cjdicov JtSQicpegsiav , ajtb de rov H<br />


DE ORTIBUS ET OCC. H. PROPOS. 5. 115<br />

Auferatur enim unius signi circumferentia #?, quae<br />

in o bifariam secetur, et sit sol in o. lam sic quidern<br />

, -<br />

astra ^ # v matutinum or-<br />

tuni facient, sol autem, in<br />

contrariam parteni signoruni<br />

se movens, quinque signo-<br />

rum circumferentiam percur-<br />

rat, sitque<br />

in loco a; 1<br />

); ergo<br />

a loco o sol quinque signorum<br />

circumferentiam percur-<br />

ret, ab rj autem diinidii signi<br />

circumferentiam 2<br />

), et puncto<br />

iq occidente astra ^ 0- v a matutino ortu vespertinum<br />

ortum faciunt 3<br />

).<br />

Y. lis. qui zonam borealem 4<br />

) incolunt, unum- pr p<<br />

O<br />

quodque astrorum fixorum et ortus et occasus vespertinos<br />

matutinosque 5<br />

) intermisso annuo spaMo facit.<br />

Sit horizon a/3 ; tropici<br />

yd s, aequinoctialis r}&,<br />

zodiacus circulus ^A^ et<br />

sit astrum quoddam pro-<br />

pius septentrionibus situni<br />

ft-, dico astrum ^<br />

ab ortu<br />

matutino ad ortum matu-<br />

tinum intermisso annuo<br />

spatio perventurum esse.<br />

4) Conf. o%6hov ir\ et in appendice 39.<br />

5) Conf. c%62.iov t-9 1<br />

et in appendice 50.<br />

FIGURAE duae, quae in codicibus ACE ad quintam propositioneni<br />

adscriptae sunt, similes sunt ei, de qua ad prop. 4<br />

(p. 114) diximus. Item Auria, qui una tantum figura utitur,<br />

rectas lineas intra circulum habet.<br />

8*


116<br />

HEPI EIIITOA&N KAI ATSE&N B.<br />

%a rov<br />

7tl rov N yevoiisvov TO @ atiroov r<br />

c5oi> ava-<br />

, xal rfj %rjs vvxrl ag^ptjtf-ih<br />

N&, %al rij N& 6Ta for} fj O@, xal xowrj<br />

y&co rj NO' oA^ aga y\ &O o/lft rjj N l6r\ tGxiv. 5<br />

^ ds N@ ruiCtiovs etixl ^cjdiov' xal rj &O CCQK rj<br />

toT06V \6riv apa ds avrc5 GvvKvarEhfai)<br />

aQK avra) dv6rai. 6vvdv0xca ovv rco M<br />

av 7tO[iVG)v xi Tc3 &. 6vvdvvra) TO N, xal TCO N<br />

(jTG) KKTCC didpttQov TO Sj xa ^<br />

aqyflQ'tjtiQ'G) Vftifaovs<br />

rov agcc fytov itl rov O 20<br />

m<br />

S) g)dfov 7tQi


DE ORTIBUS ET OCC. II. PROPOS. 5. 117<br />

Auferatur enirn dimidii signi circumferentia 0-v, et,<br />

cum sol ad v pervenerit, astrum # matutinum oria-<br />

tur, et proxima nocte auferatur circumferentia v^ y et<br />

ipsi v% aequalis<br />

sit oO1<br />

, et communis adiungatur ipsa<br />

vo; ergo tota o toti v& aequalis est. Circumfereutia<br />

autem v& diniidii signi est 1<br />

); ergo etiani Jo dimidii<br />

signi est. Et quoniam astrum # prius quam v oritur<br />

2<br />

), simul autem cum $ astrum p oritur, ft igitur<br />

prius quam v oritur. Atque hoc semper fiet, donee<br />

sol, postquam omnem i/A^x-fr circumferentiam percurrerit,<br />

ad v perveniet 3<br />

); itaque astrum p ab ortu<br />

matutino ad ortum matutinum intermisso annuo spat-io<br />

perveniet. Idem autem de vespertino ortu fiet.<br />

Rursus iisdem suppositis, quia astrum [i propius<br />

septentrionibus est quam & et simul cum eo oritur,<br />

non igitur sirnul cum eo<br />

occidet 4<br />

).<br />

lam simul cum<br />

[i astrum quoddam eoruni<br />

& quae sequuntur occidet.<br />

rf Simul occidat v, et ipsi v<br />

iuxta diametrum oppositum<br />

sit<br />

, et auferatur<br />

dimidii signi circumferentia<br />

o; ergo, cum sol ad o<br />

pervenit, astrum | matutinum oritur, et v matutinum<br />

occidit 5<br />

); ergo etiam \n, matutinum occidit. Sed diurno<br />

1) Ut ponitur. AURIA in marg. p. 44.<br />

2) Autol. de sphaera propos. 9.<br />

3) Conf. G%6kiov K et in appendice 51.<br />

4) Autol. l^c.<br />

5) Conf. G%O\IOV *d et in appendice 52.


118<br />

dvVEl '<br />

HEPI EIHTOA&N KAI ATSE&N B.<br />

TO S K6TQOV O)OV CiVaTE^EL , TO $ N<br />

KCCi TO M CCQK G)OV dvVEL. EV ds TG) T^jg<br />

xal TTJ IIO i'6rj EGTCO rj P&. uoivrj 7tQOGikriq)&G) r\ PO'<br />

r\ CX.QK SO oty TTI PII for) EGTLV. TI ds SO ri^ovg<br />

diOV 7tQI,(pEQl(X EtiTlV TOV (tOCC faiOV 7tl TOV U OVTOg<br />

TO P BKtOV KVCCTE^El. KCCL TtQOCCVCiTsMfl, TO S TOV P,<br />

TOV ds S avccTEMovTog TO N s&ov dvvi, Hal Gvv-<br />

dvvfi, avTG) TO M' TO M aga G)ov dvvei TOV ^KCov 10<br />

7tl TOV II OVTOg. Kttl TOVTO KIEL EtiTCCly G)g KV O tfhlOg<br />

X71EOLEA.&G)V 0&OV TOV KVUkoV CCCplKrjTCCl ETtl TO O oV S VI-<br />

KVTOV. TO avTo d EGTKL uca Eitl Trjg EGitEQiag dvGscog.<br />

TCOV ETtl TOV t,G)dl,aKOV TETCtyUtEVOV<br />

me sTtl Triv EtittsoCav Eiti- 15<br />

arto<br />

aito<br />

1tl TTlV 8G3KV 7tlToA.tfv , XCCi CCTtO<br />

dv


DE ORTIBUS ET OCC. II. PROPOS. 6. 119<br />

tempore sol circumferentiam ox percurrat, et ipsi OTC<br />

aequalis sit p(j. Comrnunis adiungatur ipsa po; ergo<br />

tota o toti Qit aequalis est. Sed o dimidii signi<br />

circuinferentia est; ergo etiam QTC dimidii signi cir-<br />

cuinferentia est; ergo, cum sol est ad TT, punctum Q<br />

matutinum oritur. Et prius quam Q oritur, et ipso<br />

oriente occidit v matutinum, et simul cum eo ft<br />

occidit; ergo ft matutinum occidit, cum sol est ad it.<br />

Atque hoc semper fiet, donee sol, postquam totuni<br />

circulum percurrerit, ad o perveniet annuo spatio.<br />

Idem autem de vespertine occasu fiet.<br />

in<br />

Prop.<br />

zodiaco 6<br />

VI. Unumquodque astrorum, quae<br />

posita sunt, ab ortu matutino ad ortum vespertinum<br />

pervenit, turn ab ortu vespertine ad occasum matu-<br />

tinum, deinde ab occasu matutino ad occasum ve"spertinum,<br />

denique ab occasu vespertine ad ortum matutinum,<br />

et ab occasu matutinum<br />

quidem vespertine ad<br />

XXX diebus, quo temporis spatio<br />

ortum<br />

neque<br />

oriens neque occidens conspicitur, ab ortu autem matu-<br />

tino ad ortum vespertinum quinque mensibus perveuit,<br />

quo tempore oriens conspicietur, ab ortu autem<br />

vespertine ad occasum matutinum XXX diebus perveiiiet,<br />

quo tempore neque oriens neque occidens<br />

apparet, deuique ab occasu matutino ad occasum<br />

vespertinum quinque mensibus pervenit, quo tempore<br />

occidens conspicitur.<br />

TO M. -nal ovTcog fcog ov inl TO M aqpntfjrca 6 rJ/Uog, w anodi,Lg<br />

ItQOSLGiV , COGTE CpCCLVZG&CU fJiSV TO o r'fiiog seoov, TO<br />

TtQO TOV V CO SGTIV<br />

ds M povov cpctivsG&ai [ISTK TO


120<br />

IIEPI EIIITOA&N KAI AT2E&N B.<br />

v o AB TO cpavQov xal ro d(pavg<br />

rrjg GcpaiQag. ^cpdiaxog d o Fz/, xal atirQov n 6r


DE ORTIBUS ET OCC. II. PROPOS. 6. 12 L<br />

Sit circidiis aft appareutem et occultara spbaerae<br />

partem distinguens, zodiacus autem yd,<br />

et astrum ali-<br />

quod d sit in ortu *), et auferatur diraidii signi circuruferentia<br />

ds, ac rursus %y et yrj et #d; apparet igitur,<br />

dura sol est in puncto , astrum d ortuni matutinum<br />

facere 2<br />

). Sit auteni ea quara sol noctu percurrit cir-<br />

cuniferentia ex, et ipsi sx aequalis auferatur


122<br />

KEPI EIIITOA&N KAI ATSE&N B.<br />


DE ORTIBUS ET OCC. II. PROPOS. 7. 123<br />

lam similiter reliqua etiam quae propositio con-<br />

tinet demonstrabuntur. Nam deinceps sol, cum circum-<br />

EGTtEQLK<br />

ferentiam gy^, quae<br />

est unius signi 1<br />

), per-<br />

cucurrit,<br />

astro d oc-<br />

casurn matutinum 2<br />

)<br />

efficit, id quod diebus<br />

triginta fieri appa-<br />

,ret 3<br />

). Porro ; postquamcircumferentiam<br />

yd, quae est<br />

quinque signorum,<br />

percucurrit, astro d occasum vespertinum, idque quinque<br />

4<br />

mensibus, efficit<br />

). Rursus circumferentiani &ds sol percurrens,<br />

cum ad s pervenit, matutinum ortum astro d<br />

efficit, idque triginta<br />

5<br />

diebus ); unius enini signi circumferentiani<br />

absolvit ).<br />

VII. Quaecunque astro, a zodiaco<br />

Prop.<br />

septentrionem 7<br />

versus inter cipiuntur, eorum occasus matutini ante-<br />

cedunt ortus matutinos; quaecunque autem a zodiaco<br />

meridiem versus intercipiuntur, eorum ortus matutini<br />

antecedunt occasus matutinos.<br />

Sit horizon a/3, zodiacus autem circulus yd, et<br />

1) Grad. 30. AURIA in marg. p. 47.<br />

2) Apparentem scilicet, per defiii. 7 libri primi, ut Auria<br />

adnotat. Similiter paulo post, ubi de vespertine occasu agitur,<br />

definitionem 9 citat.<br />

3) Conf. G%oliov wr\ et in appendice 55.<br />

et in appendice 56.<br />

4) Conf. G^oliov H-9 1<br />

5) Ut annotatum est in schol. 2 [id est in append, schol. 54]<br />

in bane proposit. AURIA in marg. p. 48.<br />

6) Conf. in appendice scholium 57.


124<br />

IIEPI EIHTOA&N KAI ATSE&N B.<br />

, teal a6TQOv xi 7tl<br />

Trjg avaTohrjc; k'tiTo TO z/,<br />

de TO H' TO KQCC z/ KGTQOV TCD H a6TQG)<br />

Tekksi,) ov% apa ds dvvei' &6TE T&V STCO-<br />

USV&V Tivl TG) Z/ K6TQG) TO H


DE ORTIBUS ET OCC. II. PROPOS. 7. 125<br />

astrum aliquod in ortu sit d 1<br />

), et magis septentrionem<br />

versus 77; ergo astrum d simul cum astro rj oritur,<br />

tain en simul<br />

2<br />

occidit ); itaque astrum t] simul<br />

neque<br />

cum aliquo eorum quae astrum d sequuntur occidet.<br />

Occidat simul cum #, et ipsi # iuxta diametrum oppo-<br />

situm sit s, et auferatur dimidii signi circumferentia dx,<br />

itemque A. Et quia, cum sol est in H, astrum d<br />

matutinum oritur, ac simul cum d oritur r), cum igi-<br />

tur sol est in H, matutinum oritur r\. Rursus quia,<br />

cum sol in loco A est, s matutinum oritur ; oriente<br />

autem E occidit # 3<br />

), cum igitur sol in A est, rj matutinum<br />

occidit; nam r] simul cum & occidere suppositum<br />

est*). Sed, cum sol est in x, idem 77 matutinum ori-<br />

tur 5<br />

); itaque, cum sol circurnferentiam xyeh percurrit 6<br />

),<br />

astrum ^ matutinum occidit. Et rnaior est circum-<br />

ferentia xyfA quam Adx 7<br />

), atque astrum A ipsum x<br />

autecedit; ergo astrum 17<br />

ab ortu matutino ad occasum<br />

FIGURA similis exstat in codicibus ACE, nisi quod zodiacus<br />

eandem positionem habet quam in figuris<br />

theorematis 5. Notas<br />

o5ov [fcoov AC] dvvsi ro rj etc. om. E. Pro r\ C utroque loco<br />

exhibet v<br />

1) Partes orientales sint versus 8 punctum, occidentals<br />

versus y: septentrio in a et meridies in {3 puncto. AURIA in<br />

marg. p. 50.<br />

2) Autol. de sphaer. 9.<br />

3) Eucl. phaenom. 6.<br />

4) Haec quae Graecis awSvvsi 70:9 TO H raj & respondent<br />

Quo-<br />

Auria in versione sua omittit, addit autem in margine f<br />

niam suppositum est cum astro F [id est -fr] simul occidere'.<br />

5) Conf. initium demonstrations quae propositionem 6<br />

sequitur (p. 120).<br />

6) A motu mundi ab ortu ad occasum. AURIA in marg.<br />

p. 50.<br />

7) Vide c%6l.iov iy et in appendice 58.


126<br />

HEPI EnrroAaN KAI ATSE&N B.<br />

TQOV) xccl ccTtb e&ag dv6&g xi 03ccv ava-<br />

7CQOTQOV.<br />

Tld'kiv


DE ORTIBUS ET OCC. II. PROPOS. 7. 127<br />

matutinum posterius, et ab occasu matutino ad ortum<br />

matutinum prius pervenit 1<br />

).<br />

Rursus sit in ortu magis meridiem versus astrum ft.<br />

Et quia astrum p, simul cum d oriens, prius occidit 2<br />

),<br />

cum aliquo eorum quae ipsum d antecedunt astrum ft<br />

occidet. Occidat simul cum v^ et ipsi v iuxta diame-<br />

TO rival TO (i<br />

trum oppositum<br />

sit ,<br />

et auferatur<br />

dimidii signi cir-<br />

cumferentia o. Et<br />

quia, cum sol in<br />

K est, astrum d<br />

matutinum oritur,<br />

astrum quoque ft<br />

matutinum oritur.<br />

Rursus quia, cum<br />

sol est in<br />

o, astrum | matutinum oritur, astrum igitur<br />

v occidit 3<br />

). Sed occidente v occidit etiam 4<br />

ft ); itaque,<br />

cum sol est in o, astrum ft matutinum occidit. Verum<br />

etiam, cum sol in x erat, ipsum ft matutinum oriebatur.<br />

1) Posterins, id est tardius et maiori temporis spatio:<br />

prius, id est citius et minori tempore. AURIA in marg. p. 50.<br />

Et conf. scholium Graecum 1.8.<br />

2) Autol. de sphaer. 9.<br />

3) Eucl. phaenom. 6.<br />

4) Supponitur enim ipsum v simul occidere cum ipso p<br />

astro. AURIA in marg. p. 51.


128<br />

HEPI EIIITOA&N KAI ATSE&N B.<br />

sv co 6 ijhiog TYJV KO 7tQicpOiav<br />

jtoorj'ysiTai, TO K TOV O' ccitb aoa Trjg &ag dvtis&g<br />

vciTokj]v ita.Q6mi vtiTfoov, xal drtb


DE ORTIBUS ET OCC. II. PROPOS. 8. 129<br />

Et minus est tempus, quo sol circumferentiain HO per-<br />

o<br />

2<br />

antecedit<br />

currit 1<br />

), atque astruni x ipsum )-, ergo<br />

astrum /LI ab occasu inatutino ad ortum matutinuni<br />

posterius,<br />

prius perveniet.<br />

et ab ortu matutino ad occasum matutinum<br />

VIII. Quaecunque astro, a zodiaco in orientis parte s<br />

septentrionern versus intercipiuntur, eoruin occasus<br />

vespertini antecedunt ortus vespertinos; quaecunque<br />

auteni meridiem versus a zodiaco intercipiuntur, eorurn<br />

ortus vespertini antecedunt occasus vespertinos.<br />

Sit horizon a/3 et zodiacus circulus yd, et astrum<br />

aliquod in ortu septentrionern<br />

versus sit ^; ergo astrum ^<br />

siniul cum d oritur, neque<br />

tamen simul occidit 3<br />

); ergo<br />

astrum rj simul cum aliquo<br />

eorum quae astrum d sequuntur<br />

occidet. Occidat simul<br />

cum &, et auferatur dimidii<br />

signi 4<br />

) circumferentia &x,<br />

itemque yA. Quia, cum sol<br />

in x est, astrum ^ vespertinum occidit, occidente antem<br />

# etiam astrum ?? occidit 5<br />

), astrum igitur rj,<br />

cum sol<br />

2) Conf. G%6liov Irj et in appendice 59.<br />

FIGURA similis exstat in codicibus ACE, nisi quod zodiacus<br />

eandem positionem habet quam in figuris theorematis 5. Ad<br />

dexteram partem superiorem in C, ac minus distincte in A,<br />

adscripts sunt sansQiov Svvzi TO fl, ad inferioreni 67tQiov<br />

dvvei TO fj, denique ad sinistram partem inferiorem in C<br />

8G7CEQLOV STtLTsMsi TO V, in A (OOV S7tLTM.ei TO fj.<br />

3) Autol. de sphaer. 9.<br />

4) Grad. 15. AURIA in marg. p. 52.<br />

5) Supponitur enim cum -9- simul occidere. IDEM.<br />

Autolycus. 9


130<br />

HEPI EIHTOASN KAI ATSE&N B.<br />

rov aoa fatov Eitl rov K ovTog to H (57tBQiov dvvsi.<br />

ndhiv sitsl rov r^Mov ovrog snl rov A TO F EGXEOLOV<br />

dvvEi) rov d F dvvovrog TO H EtirtSQiov dvccTEkksi.,<br />

rov aoa YI^LOV 7tl rov A oVrog TO H SGTCBQIQV dva-<br />

) &6TE GvvdvGETcu rtinv<br />

aoa o %QOVOS iv co 6 ^'Atog TIJV A4K 5<br />

KA' CC710 ) TT (37t-<br />

cpQia i} N&. 7t\ rov riHov 7tl rov N ovrog TO<br />

67toiov dvvEi, rov ds & dvvovro TO M dvvi, rov 15<br />

aoa r.Mov sitl rov N OVTOS rb M 67tQi,ov dvvi.<br />

7tl TOV faioV ETtl TOV A OVTOg TO r 67tQLOV<br />

) rov ds F dvvovrog rb z/ e<br />

xal rov aga rjMov 7tl rov A oVrog TO z/ E<br />

. GwavaTEkfai, dl TO z/ TW M' w


DE ORTIBUS ET OCC. II. PROPOS. 8. 131<br />

in x est, vespertinum oceidit. Rursus quia, cuni sol<br />

in A est, astrum y vespertinum occidit, occidente<br />

autem y astrum r\ vespertinum oritur 1<br />

), astrum igitur<br />

rj, cum sol in A est, vespertinum oritur; maius igitur<br />

est tempus quo sol circumferentiam Adx, quani quo<br />

ipsam xA, percurrit; ergo astrum rj ab ortu vespertine<br />

ad occasum vespertinum posterius, et ab occasu vesper-<br />

tine ad ortum vespertinum prius pervenit.<br />

Rursus sumatur astrum ft meridiem versus 2<br />

).<br />

Et<br />

simul cum d<br />

quia astrum ft<br />

3<br />

oritur, neque tamen occidit ),<br />

igitur simul cum aliquo eorum<br />

quae ipsum d antecedunt occi-<br />

det. Occidat simul cum J, et<br />

auferatur dimidii signi circurn-<br />

ferentia vfj. Quia, cum sol<br />

in v est, astrum | vesper-<br />

tinum occidit, et occidente |<br />

astrum ^ occidit 4<br />

), astrum igitur ^, cum sol in v est,<br />

vespertinum occidit. Rursus quia, cum sol in A est,<br />

astrum y vespertinum occidit, et occidente y astrum d<br />

vespertinum<br />

oritur 5<br />

), astrum igitur d,<br />

cum sol in A<br />

est, vespertinum oritur. Sed d simul cum ipso p<br />

oritur; itaque astrum ft, cum sol in A quidem puncto<br />

est, vespertmum oritur, cum autem in v est, vespertinum<br />

occidit. Et minor est circumferentia Ayv quam<br />

ad ortum<br />

; ergo astrum ft ab occasu vespertino<br />

3) Autol. de sphaer. 9.<br />

4) Supponitur enim cum astro occidere. AUE/TA in<br />

marg. p. 53.<br />

5) Eucl. phaenom. 6.<br />

6) Conf. G%oliov pp et in appendice 61.<br />

9*


132<br />

nEPi EnrroA&N KAI ATSE&N B.<br />

QOV, xal ditb rrjg G7tQiag avarokfi 7il r^\v 67tQiav<br />

&'. T&v 7tl rov avrov xvxkov cpfoopwcov aGroov<br />

oGa aito^a^dverai vito rov adiaxov 7tl ra agog<br />

agxrovg, SKEiva kaGGova %QOVOV KQvtyiv a^i r&v itl<br />

ra vona rov ,G)diaxov.<br />

"EGrco OQI&V 6 AFB4) a<br />

[iGr]iifl()ivbg 6 AB , 6 ds<br />

r&v ^cpdicov 6 r"z/ 5 xal ye-<br />

xal Gro 7t avrov dvo<br />

ra H jfiT, fioQiorQOv<br />

ybv rov a)diaxov ro H, vontoregov<br />

df ro K' Ae'^co on ro H<br />

rov K ekaGGova %QQVOV XQV-<br />

yag dvo aGr^a stirlv ra H K, (loQi,6rQOv<br />

ply ro H, (vonwrzQov d ro 7T>, 7tl d rov tydia-<br />

KOV ro E. skaGGova %oovov xoviluv ayei ro H rov E.<br />

nal 7td 7tl rov ^iGrj^QLVOv dvo aGrQa iGrlv ra E K^<br />

((id) f$OQior()ov ply ro E, von&rfoov ds ro K, elaGGova<br />

(f*e) XQOVOV KQvtyiv afei ro E rov K. aMa ro H rov E<br />

skaGGova %QOVOV KO^LV ayei' ro H aQa rov K<br />

Gova<br />

'Aito rov i rov nsgl<br />

UKI dvcstov rov a'<br />

Ov fiovov ya(3 snl rov OQiovro$ ra aGrga ^c^<br />

rov


DE ORTIBUS ET OCC. II. PROPOS. 9. 133<br />

vespertinum posterius, et ab ortu vespertine ad occasmn<br />

vespertinum prius pervenit.<br />

IX. Astrorum, quae in eodem circulo feruntur, 9<br />

quaecunque a zodiaco septentrionem versus intercipi-<br />

untur, ea ininore tempore occulta erunt quam quae<br />

sunt ad zodiaci partes meridionales.<br />

1<br />

Sit horizon ccyfid ), meridianus a/3, zodiacus yd, et<br />

in sections meridiani cum zodiaco sit astrum ,<br />

1<br />

scribatur circulus parallelus ^o) , sintque<br />

et de-<br />

in eo duo<br />

astra 77 x, quorum sit r\ borealius quam zodiacus, x<br />

autem meridionalius idemque in meridiano positum ;<br />

astrum 17 ininore tempore occultari quam x.<br />

dico<br />

Quoniam enim duo astra sunt rj x, quorum ??<br />

x autem meridionalius<br />

2<br />

est<br />

), inque zodiaco<br />

borealius,<br />

est astrurn , minore igitur tempore astrum r\ quam s<br />

occultatur 3<br />

).<br />

Et quia in meridiano duo astra sunt f x,<br />

quorum borealius est ; _H autem meridionalius 4<br />

), minore<br />

tempore s quam x occultabitur 5<br />

). Sed astrum q<br />

minore tempore quam occultatur; ergo t? minore<br />

tempore quam<br />

x occultatur.<br />

1) A sit septentrio, |3 meridies, d oriens, y occidens. AURIA<br />

in marg. p. 54.<br />

2) Ut ponitur. IDEM.<br />

3) Libri primi propositio 10 citatur a scholiasta Graeco<br />

(fty) et Auria in marg. p. 54; at vero de hoc loco idem plane<br />

valet, quod de illo qui statim seqnitur (vide adnot. 5).<br />

4) Conf. 6%6liov [id et in appendice 62.<br />

5) Libri primi propositio 15 citatur a scholiasta Graeco<br />

(^), quae scriptura si vera est, pleniorem ille librum Autolyci<br />

in manibus habuit eo contextu, qui nunc exstat. Utique in iis<br />

theorematis, quae ad nostram aetatem pervenerunt nullum invenitur,,<br />

quod plane ad hunc locum conveniat. Nam libri<br />

primi propositio 9 similis est, neque tamen eadem atque ilia<br />

in scholio citata.


134 nEPi KAI ATSE&N B.<br />

i<br />

'<br />

. Tots aTto^ap^avopsvois vnb rov ^codiaxov xard<br />

rag dvarokdg sul rd Jtpog dgxrovg pSQq, sdv rd 6vvdvvovra<br />

dns^r] rwv Gvvavarshkovrcav avrotg skartov<br />

sxslva dnb rr\g eosag STtirokrjs sjtl<br />

sGrtSQiav srtiroA.rjv itaQayiyvsroii did<br />

xal rovrov rov %QOVOV dvarshhovta<br />

ditb ds rr\g tGnsQias sTtitokrjs STtl ryv s


DE ORTIBUS ET OCC. II. PROPOS. 10. 135<br />

X. Si quae astra a zodiaco ad partes orientales<br />

intercipiuntur septentrionern versus, et ea quae simul<br />

cum his occidunt minus dimidio signo distant ab iis<br />

quae simul oriuntur,<br />

ilia ab ortu niatutino ad ortum<br />

vespertinum quinque mensibus perveniunt<br />

et hoc tern-<br />

pore orientia conspicientur, ab ortu autem vespertino<br />

ad occasum matutinuni plus triginta diebus et hoc<br />

tempore occulta erunt ;<br />

ab occasu autem matutino ad<br />

occasum vespertinum quinque mensibus et hoc teni-<br />

pore occidentia videbuntur, denique ab occasu vesper-<br />

tino ad ortum matutinum minus triginta diebus per-<br />

venient et hoc tempore occulta erunt.<br />

Sit horizon y/37 zodiacus autem yd, sitque<br />

in hori-<br />

zonte astrum aliquod s ad partes orientales idque<br />

septentrionem<br />

1<br />

versus ); hoc igitur sirnul cum d ori-<br />

tamen simul<br />

2<br />

occidit ); ergo simul cum<br />

tur, neque<br />

aliquo eorum quae ipsum d sequuntur<br />

occidit. Occidat<br />

simul cum 77, sitque circumferentia r]d minor dimidio<br />

signo 3<br />

), et auferatur dimidii signi circumferentia d&><br />

PROPOS. 10: spatia maiora minorave triginta diebus comparanda<br />

sunt cum ipso tricenorum dierum tempore, quod in<br />

sexta huius libri propositione ponitur (conf. o%6hov fig); alia<br />

est ratio propositions decimae primi libri, ubi de astris borealibus<br />

quae nunquam occultantur agitur.<br />

FIGURA similis exstat in codicibus ACE, nisi quod in AC<br />

zodiacus eandem positionem habet quam in figuris theorematis 5.<br />

Desunt in C littera s, in E notae adscriptae saa [Icoa AC]<br />

dvaig etc.<br />

1) Septentrio sit a, meridies {3, oriens sit versus d, occidens<br />

versus y punctum. AURIA in marg. p. 56.<br />

2) Autol. de sphaer. 9.<br />

3) Graeca verba praeter solitum composita sunt; namque<br />

aliud est concludere aliquid ex praecedentibus per KQCC (ut in<br />

libris manu scriptis h. 1. et similiter in proximis theorematis<br />

traditum est), aliud construere figuram secundum ea quae in


136<br />

HEPI EIHTOA&N KAI ATSE&N B.<br />

ri z/ TG) H XCCTCC dltt^TOOV TO A^ KOi<br />

tfllfaoVS ^CpdlOV 7tQiq)QLtt ^ AM, KO.I Ti<br />

7ti TOV ri^iOV ltl TOV<br />

& ovTog TO z/<br />

scpov dvGis<br />

Kal TO E,<br />

1tl TOV faiOV<br />

7tl TOV K OVTOg TO F<br />

8vvi (TCOOyccQ<br />

TO K TOV<br />

F), TOV ds F dvvov-<br />

Tog TO z/ avaTslksi)<br />

Kal TO E, TOV aga foiov 7tl TOV K ovTog TO E<br />

Qiav ITCLTO^V TtaQayiyvzrcLi TO E atiTQOv iv o? 6 ^Atog 15<br />

&K 7tQl(pQiaV dl,Q%TKl. KOI (5TLV &K 7tVT<br />

'Y]<br />

Kal znel TOV ykiov iril TOV M ovTog TO ply A<br />

c3ov avaTtkfoi (nQoavaTthtei yag TO A TOV M), TOV<br />

ds A avccTkA.ovTog TO H dvvsi, Kal TO E^ TOV aga<br />

nl TOV M ovTog TO E


DE ORTIBUS ET OCC. II. PROPOS. 10. 137<br />

itemque #y, et sit /I ipsi rj iuxta diametrum oppo-<br />

situm, et auferatur dimidii signi circumferentia Aft,<br />

itemque vdq. Quia, cum sol in O1<br />

astrum d matu-<br />

tinum oritur, itemque f<br />

est, 1<br />

), porro quia, cum sol in K<br />

est, astrum y vespertinum occidit (nam % prius quam y<br />

d oritur 2<br />

), itemque ,<br />

occidit), occidente autem y ipsum<br />

astrum igitur s, cum sol in x est, vespertinum oritur;<br />

ergo ab ortu matutino ad ortuni vespertinum astrum s<br />

pervenit eo tempore ; quo sol circumferentiam &K per-<br />

currit. Et est circumferentia &x quinque signorum<br />

ergo astrum s quinque mensibus Jianc percurrit. Et<br />

quia, cum sol in ^ est, astrum A rnatutinurn oritur<br />

(nam A prius quam (i<br />

oritur D<br />

) 7<br />

oriente autem A ipsum<br />

ri occidit, itemque<br />

4<br />

), astrum igitur a, cum sol in p<br />

est ? matutiuum occidit-, ergo ab ortu vespertine ad<br />

occasum matutinuni astrum e pervenit eo tempore,<br />

quo sol circumferentiam ny^i percurrit. Et est circum-<br />

ferentia Hyp zuaior uno signo 5<br />

); ergo astrum e pluribus<br />

quam triginta diebus hanc percurrit^. Rursus quia,<br />

cum sol in v est ? astrum q vespertinum occidit (prius<br />

eniin v quam ^ occidit), occidente autem r\ astrum<br />

quoque vespertinum occidit, astrum igitur , cum<br />

enuntiatione theorematis proposita sunt. Rectum dicendi genus<br />

codices exhibent infra in propos. 15 18.<br />

1) Simul enim oriuntur et d et s astrum. AURIA in p.<br />

marg.<br />

56. Scilicet in hypothesi hoc est positum.<br />

2) Eucl. phaenom. 6.<br />

3) Veluti antegrediens. AURIA in marg. p. 56.<br />

4) Simul enim occidunt rj astrum et 8. IDEM. Ex hypothesi<br />

scilicet.<br />

5) Id est, plus quam 30 grad. continet. IDEM.<br />

6) Ex enuntiatione huius theorematis (p. 134, 8) apparet<br />

msuper demonstrandum esse illud quod propositum est: xcu<br />

TOVTOV TOV %QOVOV v.QVTpiv a^SL. Hoc non omisit scriptor Graeci<br />

scholii fi-9- (append. 63).


138<br />

nEPI EIIITOA&N KAI ATSE&N B.<br />

, rov aoa foiov STCL rov N ovrog TO E <br />

yov^V(DV nvl 6vvdvvi. 6vvdvvtG) TGJ<br />

Z'<br />

'Ensl yceg f) NdH T^J,LGOVS Ihrjcp&ri gcodiov, r/ Nd 20<br />

TJ^LGOVS sorl gcodiov. r^iGsog ds 7] d&' olr) KQU rj<br />

TOVTSGTI ia nhsiovcov rj 1' ijpeQOJV KTCQ BGTCSQIKS dv-<br />

STllTOkrjV TKXQCCyLVSTCtl' TO. yKQ Jll TOV


DE ORTIBUS ET OCC. II. PROPOS. 11. 139<br />

sol in v est, vespertinum occidit; ergo ab occasu<br />

matutino ad occasum vespertinum astrum s pervenit<br />

eo tempore, quo sol circumferentiani [iv percurrit,<br />

quae quinque<br />

mensium est 1<br />

). Sed quo tempore sol<br />

circumferentiani vd& percurrit, astrum s occultatur;<br />

et est circumferentia vd& minor uno signo 2<br />

).<br />

XI. Si quae astra a zodiaco ad partes orientates<br />

iutercipiuntur meridiem versus, et ea quae simul cum<br />

bis oriuntur ab iis quae simul occidunt minus diniidii<br />

signi circumferentia distant, ilia post ortum matutinum<br />

deinceps ortum vespertinum facient, turn occasum<br />

matutinum minus XXX diebus, porro occasum<br />

vespertinum, denique ortum matutinum, atque ab occasu<br />

vespertino ad ortum matutinum longiore temporis spatio<br />

occulta erunt quam astra quae in zodiaco posita suut.<br />

cum g, sitque circumferentia<br />

Sit horizon a/3, zo-<br />

diacus autem yd s<br />

\ et<br />

sumantur duo quae<br />

sint in ortu astra d e,<br />

et astrum E simul cum<br />

6 oriatur, prius autem<br />

occidat 4<br />

); ergo simul<br />

cum aliquo eoruni<br />

quae<br />

antecedunt occi-<br />

dit. Occidat simul<br />

minor dimidio signo 5<br />

).<br />

3) Oriens sit S punctum, occidens y, septent. sit or, merid.<br />

vero p. AURIA in marg. p. 59.<br />

4) Autol. de sphaer. 9.<br />

5) Minor grad. 15, ut auctor in proposit. supponit. AURIA<br />

in marg. p. 58. De Graecis verbis insolito more compositis<br />

conf. p. 135 adn. 3.<br />

Prop.


140<br />

IIEPI EIHTOA&N KAI ATSESN B.<br />

diov. 6ro res Z xard did^roov ro H' xal vj FH<br />

&a66'cov 6rlv rnniGovg ^(pdiov. xal aitBikriy&G)<br />

fadiov ?tQicpQi,a V] F, xal rj HFK^ xal<br />

n vj r z/'A xal v) MZ. 7ti rov rjhiov 7tl rov A<br />

ovrog ro z/ GJOV dvar&hfi,., xal ro E, Ttdhiv eitel rov<br />

foiov nl rov & ovrog ro F 67tQiov dvvsi, rov dl F<br />

dvvovrog ro /I dvar&tei, xal ro E, rov aoa qMov<br />

7tl rov ovros, xal<br />

SGTtSQLK<br />

dvvovrog rov JT, re<br />

TtaAiv 7ti rov r]<br />

7cl rov K<br />

C>ov cwcorfft, rov<br />

df H avar&kovrog ro<br />

xara dLCCiisroov ro Z<br />

8vvi,<br />

rov apa<br />

rov $ Z dvvovx<br />

^r,*'<br />

dVGLS / ^_lAcT<br />

rog KO.I ro h, ovvei^<br />

nl rov K ovros ro E G)OV Svvi.<br />

pdiov vj HFK. ndkiv 7ti rov<br />

fjMov 7il rov M ovrog ro Z 67t0iov dvvsL, rov $ Z<br />

dvvovros xal ro E dvvfi, rov CCQK rjktov fall rov M<br />

ovrog ro E 67tQi,ov dvvi' CCTTO aoa rrjg etfTtsgiag<br />

v dvccrohrjv TtagayiyvBrai v co 6<br />

rqv MzIA ttQtg)()t,av dfeitiiv. nol 6nv vj M4A<br />

t/3'. "Otia rcov atitQWV ditoAaii(ldvrui vito rov tydiaxov<br />

Kara rag dvarohas fal *<br />

(vy) 'AvceynuLcos 7tQoG&r)K TCOV inl TU ngbg<br />

TK flfV aVVKVCtTzMoVTCt TO)V GwdvVOVTOJV dll%<br />

V ovdsv yaQ T


DE ORTIBUS ET OCC. II. PROPOS. 12. 141<br />

Sit ipsi g iuxta diametruin opposituni astrum vft ergo<br />

etiam circuinferentia yr] minor est dimidio signo. Et<br />

auferantur singulae dimidii signi circumferentiae y&<br />

viyx d/l fig. Quia, cum sol in A est, astrum d niatutinum<br />

oritur, itemque f 1<br />

), porro quia, cum sol in -9-<br />

est, astrum y vespertinum occidit, occidente autem y<br />

astrum d oritur 2<br />

), itemque , astrum igitur , cum<br />

sol in 0- est et y occidit, vespertinum oritur. Rursus<br />

quia, cum sol in x est, astrum r\ matutinum oritur,<br />

oriente autem ^ astrum g oppositum occidit, occidente<br />

autem g ipsum quoque s occidit 3<br />

), astrum igitur e,<br />

cum sol in x est, matutinum occidit. Et est circumferentia<br />

ftriyx<br />

4<br />

minor uno signo ). Rursus quia ? cum<br />

sol in fi est, astrum g vespertinum occidit, occidente<br />

autem g ipsum quoque s<br />

5<br />

occidit ), astrum igitur e,<br />

cum sol in ^ est, vespertinum occidit; ergo astrum s<br />

ab occasu vespertino ad ortum matutinum pervenit eo<br />

tempore, quo sol circumferentiani fi(U percurrit, quae<br />

maior est uno signo 6<br />

).<br />

XII. Si quae astra a zodiaco ad partes orientales<br />

intercipiuntur<br />

meridiem versus 7<br />

), et ea quae siinul<br />

1) zi enim et s simul oriuntur, ut est suppositum. AURIA<br />

in marg. p. 59.<br />

2) Eucl. phaenom. 6.<br />

3) Suppositum enim est cum 8 occidere. AURIA in<br />

marg. p. 59.<br />

4) Hoc similitev demonstratur ac supra p. 138 expositum<br />

est in Graeco scholio vcc (append, schol. 65). Praeterea conclusio<br />

supplenda est, astrum ab ortu vespertino ad occasum<br />

matutinum minus triginta diebus pervenire.<br />

5) Ut positum est. AURIA in marg. p. 59.<br />

6) Maior gr. 30. IDEM. Ultima pars huius demonstrationis<br />

in brevius contracta est. Quae desunt, ea facile supplentur ex<br />

propos. 16 extrema.<br />

7) Conf. G%oliov vy et in appendice 66.


142<br />

HEPI EIIITOA&N KAI AT2ES>N B.<br />

ccv xa Gvvavaxs'hhovxa x&v Gvvdvvovx&v<br />

JtOHpQLC(V , XiVa XT] CCVtfj VVXxl Xttl (<br />

lAft Kttl dvvi, xccl<br />

I XG)V 7fl XOV %O)dLttXOV XEXtt^^VCDV CC(<br />

"E6xa QQifav b AB, b dl x&v tydCtov b JTz/,<br />

Hal 5<br />

'ftl xrjg Kvaxo^g 6xca 7tob$ {i6r]iipoiav xb E,<br />

xal xb E xc) 4 6vvavaxMXG)' xwv CCQK rj'yov^vcov<br />

xivl x& A 6vvdvvi. (SvvdvvBXG) xa Z' r] aga z/Z<br />

t,cpdCov etixtv. Kal xa Z xaxcc did^ifxoov<br />

f] F KQtt t,(pdlOV<br />

6XLV.<br />

xccxa xb K 6r)Hlov, xal<br />

ftlOV 7tQl,CpQia If ZH, Xttl<br />

Xi ri Ad. 7ti xov r\Mo(i<br />

(v8) 7tl xov A ovxog xb z/<br />

attqov


DE ORTIBUS ET OCC. II. PROPOS. 12. 143<br />

cuni his oriuntur ab iis quae simul occidunt imius<br />

signi circurnferentia distant, ilia quidem<br />

nocte eadern<br />

et vespertina oriuntur et matutina occidunt , eadeni-<br />

que longiore temporis spatio occulta erunt quain astra<br />

quae in zocliaco posita sunt.<br />

Sit horizon a/3, zodiacus auteni yd, et astrum ali-<br />

orientales meridiem versus 1<br />

) sit s, et<br />

quod ad partes<br />

oriatur simul cum $; ergo astrum s simul cum ali-<br />

quo eorum 2<br />

quae ipsum d antecedunt occidit ). Occidat<br />

simul cum g, sitque dg unius signi circumferentia 3<br />

).<br />

Et ipsi g iuxta diametrum oppositum sit<br />

-fr; ergo etiam<br />

y& unius signi circumferentia est. Et secetur y& bifariam<br />

in puncto fc, et auferatur dimidii signi circum-<br />

ferentia g?7, iternque A$. Quia, cum sol in A est,<br />

astrum d matutinum oritur, itemque<br />

4<br />

), porro quia,<br />

cum sol in x est, astruni


144<br />

QLOV <br />

'<br />

HEPI EIHTOASN KAI ATSE&N B.<br />

iv tfj aoa amfj vvxrl TO E CCGTQOV 6rt-<br />

avaTslli xal eaov dvvsi. italiv enel TOV<br />

yliov 7tl rov H OVTOS TO Z atiTQov 67tQiov<br />

TOV $ Z dvvovTOs xal TO E dvvsi, TOV aoa<br />

(vs) sjtl TOV H OVTOS to E sGittQiov dv6Tcu. alia<br />

%al 7tl TOV A OVTOS (pov avaTzllEi' %Qvtyiv aoa<br />

> 6<br />

Tolg anola^^avo^ievoLg aGTQOLg vnb TOV Jc>wza<br />

Tag dvGsis tvtl TCC nobs (X.QKTOV mv TCC<br />

GvvdvvovTa ccTtb TWV GvvavaTsMovTcov aGTQ&v aite^r] 10<br />

elaTTOva rjiifaovs t,cpdiov TtsoHpsosiav, sxslva aito Tr^g<br />

%QOVOV xovijjiv a%i TKIV 7tl TOV a)diaxov<br />

GTQcov. 15<br />

"EVG)V Tivl TOV r TK) Z' V]<br />

aOtt TZ llaTT&V<br />

(vs) Mevsi, yaQ b rjhos vno yf}v Y.cii rfjs sGTtEQtas Kvarolrig 20<br />

KCCL Trig fwarg dvGscas ysvofisvrjg TOV E' COGTS sfaoTcos sv Tfj<br />

CiVT-f] VVHTl TO E KGTQOV SOTtSQLOV


DE ORTIBUS ET OCC. II. PROPOS. 13. 145<br />

vespertinum oritur; ergo uua eademque<br />

et vespertinum oritur et matutinuni occidit 1<br />

).<br />

nocte astruin e<br />

Rursus<br />

quia, cuin sol in 7] est, astrum vespertinum occidit,<br />

occidente autem g etiam s occidit, astrum igitur B,<br />

cum sol in v\ est, vespertinum occidet. Atqui idem,<br />

cum sol in A est, matutinuni oritur; occultum igitur<br />

erit eo tempore, quo sol circumferentiam j]dl per-<br />

curret 2<br />

).<br />

XIII. Si quae astra a zodiaco ad partes occiden- 13"<br />

tales intercipiuntur septentrionem versus , et ea astra<br />

simul oriun-<br />

quae sirnul cum his occiduut ab iis quae<br />

tur minus diniidii signi circumferentia distant, ilia<br />

post ortum matutinuni deinceps ortum vespertinum<br />

deinde occasum ve-<br />

facient, turn occasum matutinuni ;<br />

spertinum, atque db occasu vespertino ad ortum matutinum<br />

niinore temporis spatio occulta erunt quam<br />

astra quae in zodiaco posita sunt.<br />

Sit horizon a/3, zodiacus<br />

autem yd, et astrum aliquod<br />

ad partes occidentales septen-<br />

trionem versus 3<br />

) sit s, quod<br />

simul cum y occidat, cum ali-<br />

quo autem eorum quae ipsum<br />

y antecedunt, id est cum ,<br />

oriatur 4<br />

), et sit circumferen-<br />

tia yt, minor diniidio signo 5<br />

).<br />

Sit ipsi iuxta diametruni<br />

3) Oriens sit d, occidens y, septentrio a et merid. 0. AUEIA<br />

in marg. p. 61.<br />

4) Conf. G%6liov v et in appendice 68.<br />

5) Conf. supra p. 135 adn. 3. 'Ut supponitur in proposit.'<br />

AURIA in marg. p. 62.<br />

Autolycus. 10


146<br />

EIIITOA&N KAI ATZE&N B.<br />

cydov.


DE ORTIBUS ET OCC. II. PROPOS. 14. 147<br />

oppositum r], et auferantur singulae dimidii signi circumferentiae<br />

fry %yu Aq dp. Quia, cum sol in x est, astrum<br />

matutinuui oritur, itemque *), porro quia, cuni sol in /I<br />

est, astrum rj vespertinuin occidit, ac vespertinuni ori-<br />

tur 2<br />

), itemque , porro quia, cum sol in ft est, astrum d<br />

matutinum oritur, oriente autem d astrum y occidit 3<br />

),<br />

itemque , astrum igitar e, cum sol in ft est, matutinum<br />

occidit. Rursus quia, cum sol in # est, astrum y<br />

vespertinuni occidit, itemque , sed, cum sol in K est,<br />

matutinum oritur, astrum igitur s ab ortu matutino<br />

pervenit ad ortum vespertinum, et ab ortu vespertine<br />

ad occasum matutiuum, et ab occasu matutino ad<br />

occasum vespertinum, idemque eo tempore occultum<br />

est, quo sol circumferentiam &yx percurrit, quae minor<br />

uno signo est 4<br />

); itaque astrum s minore tempore<br />

occultum est quam astra quae sunt in zodiaco.<br />

XIV. Si quae astra a zodiaco ad partes occiden- 14<br />

tales intercipiuntur septentrionem versus, et ea quae<br />

simul cum his occidunt ab iis quae simnl oriuntur<br />

unius signi circumferentia distant, ilia quidein nocte<br />

eadeni et matutiua orientia et vespertina occidentia .<br />

apparebunt 5<br />

), eadeni que maiore temporis spatio occulta<br />

erunt quam quae in zodiaco posita sunt.<br />

1) Astra eniin t et ^ siinul oriuntur, ut supponitur. AUEIA<br />

in luarg. p. 62.<br />

2) Est enim v\ ipsi per diametrum, et oriente ipsurn rj<br />

occidit. IDEM. Scilicet secundum Eucl. phaenoin. 6.<br />

3) Eucl. phaenom. 6. 4) Conf. 6%6l. vr\ et in app. 69.<br />

5) Sequuntur apud Auriam haec uncinis seclusa c<br />

Quin<br />

etiam maiori tempore occultabuntur iis, quae in circulo Zo-<br />

diaco sunt: et quae ortum vespertinum: et occasum matutinum<br />

f<br />

faciunt'. Ad quae idem in marg. p. 63 adnotat Haec non<br />

leguntur in aliis Vaticanis exemplarib. graecis manuscriptis : et<br />

videntur abundare'.


148<br />

IIEPI EniTOAN KAI ATSES^N B.<br />

"E F'<br />

Z, 6vvdvvTG) dl<br />

a)diov ago. 7tQicpQi,a FZ' 7] kfyo QTI TO E<br />

E


DE ORTIBUS ET OCC. II. PROPOS. 15. 149<br />

Sit horizon a/3, zodiacus autem yd, et astrum ali-<br />

quod ad partes occidentales septentrionem versus sit ,<br />

idque simul cum oriatur ac simul cuin y occidat,<br />

et sit y unius signi circumferentia 1<br />

);<br />

dico astrum s<br />

eadem nocte et matutinum oriri et vespertinum occi-<br />

dere.<br />

Sit enim ipsi iuxta diametrum oppositum 77, et<br />

circumferentia y bifariam secetur in puncto -fr, et<br />

auferatur dimidii signi circumferentia rptj itemque dL<br />

Quia cum sol in -fr<br />

est, astrum matutinum oritur,<br />

ideoque etiam<br />

2<br />

matutinum oritur ), astrum autem y<br />

vespertinum occidit, ideoque etiam<br />

3<br />

), eadeni igitur<br />

nocte astrum s et matutinum oritur et vespertinum<br />

occidit.<br />

Rnrsus quia, cum sol in H est, astrum 77 vespertinum<br />

occidit, occidente autem rj astrum g oritur 4<br />

),<br />

itemque f, astrum igitur e, cum sol in % est, vespertinum<br />

oritur. Rursus quia, cum sol in A est, astrum<br />

d matutinum oritur, oriente autem d astrum y occidit,<br />

itemque , astrum igitur , cum sol in /I est, matutinum<br />

occidit. Et est circumferentia xrjdk diiorum<br />

signorum, qitam sol dudbus mensibus percurrit; ergo<br />

astrnm s maiore temporis spatio occultatur quam qiiae<br />

in zodiaco sunt astra 5<br />

).<br />

Prop.<br />

XV. Si quae astra a zodiaco ad partes occidenta- 15<br />

les intercipiuntur septentrionem versus, et ea quae<br />

in marg. p. 64 (nisi quod D, id est #, per errorem expression<br />

est pro E, id est ).<br />

3) Simul enim occidunt s et y astra, ut ponitur. IDEM.<br />

4) Eucl. phaenom. 6.<br />

5) Haec extrema supplevimus nostra coniectura. Et conf.<br />

propos. 12 extr. (p. 144 cum adnot. 2).


150<br />

nEPI EIIITOA&N KAI ATSE.QN B.<br />

EKV ra GvvdvvovTtt aito TWV GvvavaTskkovTCdv<br />

tEQifpEQEiaS) EKELVK ovx CC^EL<br />

avTrjs vvxTog o5 0^ E^iTE^Ei xal<br />

SVVEI aito Trjg ecja 7tiToki]$ ^X9 l r^ E6T& OQI&V 6 AR) o ds tcov tydfav 6 Fz/ ? not<br />

XL ytQos dva^ials enl ra agog agxrovs sGra TO<br />

E, Kal GvvdvvBTG) ply T


DE ORTIBUS ET OCC. II. PROPOS. 15. 151<br />

simul cum his occidunt ab iis quae simul oriuntur<br />

plus unius signi circumferentia distant 7<br />

ilia non oc-<br />

cultabuntur, sed eadem nocte et rnatutina oriuntur et<br />

vespertina occidunt ab ortu matutino ad occasum<br />

vespertinum.<br />

Sit horizon /3, zodiacus autem yd,<br />

et astruui ali-<br />

quod ad partes occidentales<br />

septentrionem<br />

versus x<br />

)<br />

sit<br />

idque simul cum y occidat,<br />

simul autem cum oriatur, et<br />

sit y rnaior quam unius signi<br />

circumferentia;<br />

dico astruin s<br />

non occultatum iri, sed eadem<br />

nocte et vespertinum occidere<br />

et matutinum oriri.<br />

Auferatur enini dimidii signi circumferentia yr\ y<br />

itemque #, sitque ipsi J iuxta diametrum opposituin<br />

x, et auferatur dimidii signi circumferentia xA, item-<br />

que dp. Et quia, cum sol in r] est, astruni y vespertinum<br />

occidit ; itemque s 2<br />

), porro quia, cum sol in fr<br />

est, astruni g matutinum oritur, itemque<br />

3<br />

) 7 astruni<br />

igitur BJ cum sol circumferentiam -frj? percurrit, et<br />

matutinum oriens et vespertinum occidens conspicitur 4<br />

).<br />

Rursus quia ; cum sol in A est, astrum ^ vespertinum<br />

1) Oriens sit 8, occidens y, septentrio a, nierid. ^. AURIA<br />

in marg. p. 64.<br />

2) Supponitur enim et y simul occidere. IDEM in<br />

marg. p. 65.<br />

3) Supponitur enim et simul oriri. IDEM.<br />

4) Conf. c%6liu 'go. et fi (in appendice 70 et 71).<br />

,


152<br />

I1EPI EIIITOAON KAI ATSE.QN B.<br />

(|y) 67tO(,OV dvVl, tO $ Z EtiTtEQlOV KVaTEk^Sl, Kttl TO<br />

E aoa eGitsgiov avaTskkei. nakiv STCEI TOV rjfa'ov STtl<br />

TOV M OVTOg TO d G)QV a.VO.li'k'ksi , TO $ F


DE ORTIBUS ET OCC. II. PROPOS. 16. 153<br />

occidit, astrum autein vespertinum<br />

1<br />

oritur ), astrum<br />

igitur s etiam 2<br />

vespertinum oriiur ). Rursus quia, cum<br />

sol in ft est, astrum d matutinum oritur, astrum<br />

auteui y matutinum occidit 3<br />

), astrum igitur s etiam<br />

matutinum occidit; ergo, cum sol circumferentiam fry<br />

percurrit, astrum s oriens conspicitur, cum autern circumferentiam<br />

^77, occidens 4<br />

); ergo, cum circumferentiam<br />

fry sol percurrit, astrum s et occidens et oriens<br />

conspicitur.<br />

XVI. Si quae astra a zodiaco ad partes occiden- ie<br />

tales intercipiuntur meridiem versus, et ea quae sirnul<br />

cum his occidunt ab iis quae sirnul oriuntur minus<br />

dimidii signi circumferentia distant, ilia post ortum<br />

matutinum deinceps ortum vespertinum faciunt, turn<br />

occasum matutinum, deinde occasum vespertinum, at-<br />

que ab occasu vespertine ad ortum matutinum longiore<br />

ternporis spatio occulta erunt<br />

quam astra quae in zodiaco<br />

posita sunt.<br />

Sit horizon a/3, zodiacus<br />

auteni yd, et astrum ali-<br />

quod ad partes occidenta-<br />

les meridiem versus 5<br />

) sit s t<br />

idque simul cum y occidat,<br />

siniul autern cum aliquo<br />

4) Conf. a%6Uov %S et in appendice 72.<br />

FIGURAM nostra coniectura restituimus; nam in codicibus<br />

ACE et apud Auriam in semicirculo yW inter /I et S positae<br />

sunt # v. at sic circumferentia r\ ; #77 existit maior dimidio<br />

signo, itaque non est ?y opposition ipsi ^, id quod est contra<br />

hypothesin e similitudine propositionis 13 emendatarn.<br />

5) Oriens sit


154<br />

HEPI EIIITOA&N KAI ATSE&N B.<br />

) izoiiVK)v rim rc5 P. (yvvavarskhsTG) ro5 Z, xal r]<br />

FZ


DE ORTIBUS ET OCC. II. PROPOS. 17. 155<br />

eorum quae ipsuin y sequuntur<br />

oriatur 1<br />

).<br />

Oriatur si-<br />

raul cum g, sitque circumferentia y minor dimidio<br />

signo. Et ipsi iuxta diametruni oppositum sit 77, 'et<br />

auferantur singulae dimidii signi circumferentiae d&<br />

astrum matuti-<br />

xi] gfi yL Quia, cum sol in ft est,<br />

num oritur, itemque<br />

2<br />

), porro quia, cum sol in K est,<br />

astrum rj vespertinum occidit, ac vespertinum ori-<br />

circumferentiam Ayjt percurret 6<br />

).<br />

tur 3<br />

), itemque e, denique quia,<br />

cum sol in & est, astrum d ma-<br />

tutinum oritur, oriente autem<br />

d astrum y occidit 4<br />

), itemque<br />

5<br />

), astrum igitur s }<br />

cum sol<br />

in # est, matutinum occidit.<br />

Rursus quia, cum sol in A est,<br />

astrum y vespertinuni occidit,<br />

itemque f, occultum igitur erit<br />

astrum e eo tempore, quo sol<br />

Et est circumferentia<br />

ky\n maior uno signo; ergo astrum s longiore teinporis<br />

spatio occultum erit quam astra quae in zodiaco po-<br />

sita sunt.<br />

XVII. Si quae astra a zodiaco ad partes<br />

Prop.<br />

occiden- 17<br />

tales intercipiuntur meridiem versus, et ea quae simul<br />

cum his occidunt ab iis quae simul oriuntur unius<br />

signi circumferentia distant, ilia quidem<br />

nocte eadern<br />

et vespertina oriuntur et niatutina occidunt, eademque<br />

longiore temporis spatio occulta erunt quam astra<br />

quae in zodiaco posita sunt.<br />

4) Eucl. phaenom. 6.<br />

5) Simul enim occidere positum est et y et astra. AU-<br />

RIA in marg. p. 67.<br />

6) Conf. G%6kiov | et in appendice 74.


156<br />

IIEPI EIIITOA&N KAI ATSE&N B.<br />

OOL^OV 6 AB,<br />

o ds rear<br />

atiroov xi 7tl rvjs dvtie&s 6rco itobg<br />

E teal 6vvdvvTG) nv ri<br />

y r


DE ORTIBUS ET OCC. II. PROPOS. 18. 157<br />

Sit horizon a@, zodiacus auteni yd, et astrurn ali-<br />

quod ad partes occidentals meridiem versus *) sit<br />

idque siniul cum y occidat; ergo simul cum aliquo<br />

eoruni quae ipsum y sequuntur oritur. Oriatur simul<br />

cum g, sitque / unius signi circuniferentia. Et ipsi<br />

iuxta diametrum oppositum sit #, et secetur d& bi-<br />

fariam in puncto 77, et auferatur dimidii signi circuni-<br />

ferentia A, itemque yx. Quia, cum sol in 77 est,<br />

astrum d niatutinum oritur, astruni igitur y matuti-<br />

nuni occidit, itemque s 2<br />

). Rursus quia, cum sol in r\<br />

est, astruni # vespertinum occidit ;<br />

occidente autem &<br />

astruni vespertinum<br />

nocte astrum s et matutinum occidit et vespertinum<br />

oritur 3<br />

), itemque , eadem igitur<br />

oritur. Rursus quia 7 cum sol in K est, astruni y<br />

vespertinum occidit, astruni igitur e etiam vespertinum<br />

occidit 4<br />

). Rursus quia, cum sol in A est, astruni<br />

niatutinum oritur, astrum igitur s etiam matutinum<br />

oritur 5<br />

); ergo astrum s occultum erit eo tempore, quo<br />

sol circumferentiam xyh percurrit. Et duorum signo-<br />

runi circuniferentia est HyA; ergo astrum s longiore<br />

temporis spatio occultum erit quarn astra quae in zodiaco<br />

sunt.<br />

XVIII. Si quae astra a zodiaco ad partes occiden- is<br />

tales intercipiuntur meridiem versus, et ea quae simul<br />

cum his occidunt ab iis quae simul oriuntur plus<br />

unius signi circuniferentia distant, ilia ab ortu matu-<br />

1) Oriens sit d, occidens y, septentrio a, merid. 0. AUEIA<br />

in marg. p. 68.<br />

2) Conf. in 3)<br />

appendice scholium 75.<br />

Per diametrum sunt. AUBIA in marg. p. 68.<br />

4) Simul enim occidere astra y et e positum est. ID. p. 69.<br />

5) Simul enim oriri astra et e positum est. IDEM.<br />

,


158<br />

EIHTOA&N KAI AT2E&N B.<br />

iTa 7tl TVJV


DE ORTIBUS ET OCC. II. PROPOS. 18. 159<br />

tino ad occasuin niatutinurn pervenient, turn ad ortum<br />

vespertinum, deinde ad occasuin vespertinum, et ab occasu<br />

quidem matutino ad ortuin vespertinum eadem nocte<br />

et orientia et occidentia conspicientur, ab occasu autern<br />

vespertino ad ortum matutinum longiore teraporis spatio<br />

occulta erunt quam quae in zodiaco posita sunt astra.<br />

Sit horizon aft, zodiacus auteni yd, et astrum ali-<br />

quod ad partes occidentales meridiem versus *) sit<br />

quod simul cum y occidat et siniul cum oriatur, et<br />

sit y niaior quam unius signi circuniferentia, et ipsi<br />

iuxta diametrum oppositum sit ??, et auferantur sin-<br />

gulae dimidii signi circumferentiae ^0* ted & y^. Quia,<br />

cum sol in A est, astrum matutinum oritur, itemque<br />

2<br />

), porro quia 7 cum sol in K est ; astrum d matutinum<br />

oritur, ipsum auteni y ei oppositum matutinum<br />

occidit 3<br />

), astrum igitur etiam matutinum occidit.<br />

Rursus quia 7 cum sol in -9" est ; astrum rj vespertinum<br />

occidit, occidente auteni 77 astrum f vespertinum oritur<br />

4<br />

), astrum igitur s etiani vespertinum oritur; ergo<br />

astrum , cum sol circumferentiam x& percurrit, eadem<br />

nocte et oritur et occidit. Rursus quia ; cum sol<br />

in ^ est, astrum y vespertinum occidit, itemque e, cum<br />

vero in A est, astrum matutinum oritur, itemque e,<br />

astrum igitur s eo tempore occultum erit, quo sol<br />

circumferentiam ftyA percurret. Et est haec niaior<br />

duobus signis 5<br />

).<br />

2) Simul enim oriri astra ^ et 8 positum est. AURIA 1. c.<br />

3) Eucl- phaenom. 6.<br />

4) Sunt enim per diametrum. AURIA 1. c.<br />

5) Omisit scriptor extremam conclusionem sic fere restituendam:<br />

TO KQCC E KGTQOV nlstovtx %QOVOV KQvipiv ciei rtov<br />

STti rov gcpdiccKov TSTaypsvcov cioTQcav (propos. 6).<br />

,


APPENDIX<br />

AD AUTOLYCI LIBRUM DE SPHAERA<br />

QUAE MOVETUR.<br />

Ad VII. propositionem Maurolycus fol. 61 V adno-<br />

tat: Nam cuin circulus fixus [id est horizon] constet<br />

semper in eodem loco: et circuli super<br />

axe suo ver-<br />

sati semper in suo singuli piano iaceant: fit ut neque<br />

periferiae locum aliquando coninmtent: et perinde secent<br />

fixuni in iisdem semper punctis. Inclinatio quo-<br />

que eorum una est: sequitur enini inclinationeni axis<br />

comniunis.<br />

Inter c<br />

scholia antiqua', quae Auria interpretationi<br />

suae subiunxit, pag. 31 ad septimam propositionem<br />

tria leguntur litteris H K M notata, ex Graecis no-<br />

stris Ay A A expressa. Ac primo quidem scholio<br />

idem explicate quod Pappus collect. 6 cap. 38 (p. 520)<br />

a se ad Autolyci librum demon stratum esse docet his<br />

verbis: ev&ilcog yovv TO % amcp &G)Qr][ia Gmfcerai eitl<br />

T OQ&rjs rrjg dice rcov itoAtpv frfascos Keel 7tl rrjs Ao|^g<br />

rov afcova' sdet^apev yap rj[iis TTCOQ dvvccrai<br />

i-itl rrjg dice t&v TtoAcov fri-dsog TO 0"5o>-<br />

Secundum Auriae scholium (K) respondet<br />

Graeco nostro As, cui subiunctum est lemma in nostra


SCHOLIA IN LIBRUM DE SPHAERA. 161<br />

editione A ; apud Auriam M. Figura apud eundem<br />

expressa similis est ei quae<br />

in Vaticano exstat ad VII<br />

propositiouem altera (conf. p. 23 adnot.), quain nos,<br />

ut supra p. 28 ad scholium A, ita rnox ad<br />

M exhibebimus. Notas auteni geometricas<br />

scholium<br />

suo arbi-<br />

trio Auria apposuit, quarum loco has Graecas resti-<br />

tuemus, alioquin autem Auriae verba ipsa repetemus:<br />

A = B = C = # E = F = tf G = T? j/ /3<br />

H = L = A M = > N = (? 0==tt P = x<br />

Primum scholium (H) spectat ad alteram partem<br />

propositionis, quae supra (p. 26 7 1) incipit<br />

his verbis:<br />

dy on, xal oftotog sfal xxAi{isvoi, TtQog TOV<br />

Hucusqite demonstratio liaec rede siquidem<br />

se liabet H<br />

in Theoremate, retenta propositions circumscriptione et<br />

determinationej quae liorizontem<br />

ad axem dbliquum ponit: verum<br />

tamen simili quoque modo potent<br />

demonstmri,<br />

ad axem non fuerit obliquus, sed<br />

etsi horizon circulus<br />

per sphaerae polos sit ductus,<br />

sicut in sphaera recta manifestum<br />

est: Si enim circulorum paralle-<br />

lorum polum contingent punctum,<br />

veluti g 1<br />

), acceperimus in horizonte, et per hitiusmodi<br />

punctum, sicuti ante factum est, maximum circulum de-<br />

scripserimus ; nimirum ostendemiis rectam lineam a polo<br />

1) Pro (quod apud Auriam est R) scriptor scholii<br />

(supra p. 26, 21) posuit 77.<br />

Autolycus. 11


162<br />

SCHOLIA IN<br />

ad punctum /3 ductam aequalem<br />

esse rectae ah e'odem<br />

ad punctum ductae, et in idem dbsurdum incidemus:<br />

Hoc autem ex propositione sexta Jmius libri patet.<br />

Sequitur secunduin scholium (K), quod<br />

verba p. 26, 14 sq. Sars rj vnb TCOV KM<br />

ad Gr<br />

nkCGis ftimv cet. pertinet, denique ad eius scholii ex<br />

trema verba adscriptuin est lemma M.<br />

K Ex diffinitione sexta Undecimi Elementorum Euclid,<br />

hoc patet: Plani enim ad planum inclinatio est anguhis<br />

acutus, rectis compraehensus lineis, quae ad rectos an-<br />

gulos communi planorum sectioni ad unum idemque<br />

punctum in unoquoque piano ductae sunt: Est autem<br />

recta linea K\L in piano circuli a/3 ad angulos rectos<br />

communi planorum sectioni, scilicet ipsi a/3, et recta &n<br />

est etiam in piano circuli rjct&fl ad rectos angulos ipsi<br />

et faciunt acutum an-<br />

communi planorum sectioni a/3 ;<br />

gulum sub x^d contentum.<br />

M Quod autem angulus<br />

sub KH& contentus sit an-<br />

gulus acutuSj lioc modo patebit.<br />

Describatur maximus<br />

parallelorum , qui sit gpo,<br />

et reliqua, ut patet in fi-<br />

gura,<br />

iam J(><br />

describantur. Erit<br />

x<br />

) maximi circuli<br />

quadrans: nam ex polo g<br />

1) Punctum ^, quod deest in figura codicis Vaticani, in C<br />

et Paris. 2472 eodem fere loco positum est quo exstat in priore<br />

figura (p. 161). Ceterum 9 quadrans, quae dicitur, rsrccgrri^o-<br />

QLOV est circumferentia, id quod patet ex scholio A p. 28,9:<br />

TSTctQTr)[ioQiov 6T


LIBRUM DE SPHAERA. 163<br />

circuli ipo ducta est 1<br />

*): Maior igitur est 2<br />

quadrante t?(> ) :<br />

sed TI& semicirculi IJQ& diametrus est: quare p# 3<br />

) qua-<br />

drante minor est: Maior igitur est ?IQ ipsa Q& circum-<br />

ferentia: consistit autem angulus Y\6Q in circumferentia<br />

rig:<br />

et angulus $&& in circumferentia Q&: et est punc-<br />

turn 6 omnium maximorum circulomm centrum: Quare<br />

angulus sub ^GQ contentus maior est angulo sub 1<br />

ptfO<br />

compraehenso : sunt autem anguli qtig et Q6& duobus<br />

rectis aequales 4<br />

). Angulus igitur QG& est angulus acu-<br />

tus: Quare anguli up et Av& sub lineis up et kv par-<br />

allelis contenti anguli acuti sunt; Tres itaque<br />

anguli aequales<br />

inter se sunt.<br />

1) Ad marginem adnotata est propositio f<br />

!6. Theodosii<br />

primi sphaericorum'. Quod ducta est Auria scripsit, rectam<br />

Q intellexit, quae circumferentiam Q subtendat.<br />

2) Ante TIQ suppleas casum nominativum arcus.<br />

3) Rursus arcus Q& intellegitur.<br />

4) Ad marginem adnotata eat propositio f !3. Euclidis 1.<br />

Elem.'<br />

11*


PPENDIX<br />

AD AUTOLYCI DE ORTIBUS ET OCCASIBUS<br />

L I B R S.<br />

SCHOLIA VATICANA<br />

IOSEPHO AUEJA INTERPRETED<br />

IN LIBRUM PRIMUM.<br />

1 IN DEFINITIONES PAG. 49] Poetae ortum inatutinum<br />

verum vocant ortum cosmicum: occasum matutinum<br />

verum appellant occasum cosmicum. Ortum<br />

autem vespertinuin verum dicunt ortum chronicum:<br />

occasum vespertinum verum Dominant occasum chro-<br />

nicum. Praeterea ortum rnatutinurn apparenteni no-<br />

rninant poetae ortum heliacum: occasum rnatutinum<br />

1) Haec scholia in Auriae editione definitiones et singulas<br />

propositions sequuntur. Ubi ad unum theorema plura scholia<br />

adscripta sunt, singula primum, secundum cet. numerantur ac<br />

praeterea litteris A , J5 cet. distinguuntur. Nos continuos numeros<br />

1, 2 cet. apposuimus. Auriae contextum accurate repetivimus,<br />

nisi quod illius interpunctionem admodum impeditam<br />

passim emendavimus et pro litteris maiusculis, quibus ille<br />

omnes fere artis terminos, ut Verus, Apparens, Ortus, Occasus,<br />

Cosmicus, Sol cet. distinguit, minusculas posuimus, denique<br />

Graecas<br />

Auriam ,<br />

litteras geometricas<br />

restituimus.<br />

pro Latinis, quae sunt apud


SCHOLIA IN LIBRUM I DE ORT. ET OCC. 165<br />

apparentem dicunt occasum heliacum. Ortum denique<br />

vespertinum apparentem appellant ortum heliacum:<br />

occasum yespertinum apparentem dicunt occasum he-<br />

liacum J<br />

).<br />

IN PROPOSITIONEM I PAG. 50,6] Hie auctor ostendit 2<br />

ortum et occasum heliacum posteriorem esse ortu et<br />

occasu cosmico: praeterea ortum et occasum heliacum,<br />

qui ortus et occasus vespertinus apparens nominatur ab<br />

astronomis, priorem esse dicit ortu et occasu chronico.<br />

PAG. 50, 19 : Tov ^Iv ovv rjMov avarsMovros nctta 3<br />

to A) TO d atiTQOv ov (paivstccL avaxdhkov] Quoniam<br />

vero antecedentia puncta, quaecunque in circumferentia<br />

ytp. acceperimus, prius oriuntur, et quoniam<br />

sol ante-<br />

cedit et ante punctum a, scilicet ante punctum d,<br />

oritur (nam punctum d cum puncto a simul oritur),<br />

semper igitur sol ante punctum d oritur: quare d<br />

punctum oriri nullo modo conspicitur.<br />

PAG. 56, 5: "Etta ra avrd' Afj/ea on ovds rr\v 4<br />

TZ.A 7tQi(pQeiav cet.] Quo enini tempore sol circum-<br />

ferentiam y& perambulat, nequaquam d punctum ori-<br />

tur, quoniam neque punctum a oritur, otnnia siquidem<br />

puncta, quae sunt in circumferentia ycc, ante<br />

1) Sequuntur apud Auriam haec: De hoc vero ortu, et occasu<br />

astrorum inerrantium, videlicet cosmico, chronico et lieliaco,<br />

quantum ad poetas attinet, legas licebit lo. de Sacro Bosco caput<br />

tertium de Sphaera, et in illud commentaria. Ptolemaeum<br />

quoque lib. via. capit. mi. TJJ? fifya/toys avvrd^s cog videre licebit,<br />

qui in universum viginti quattuor commemorat G%riiiKTiGiio'vg^<br />

id est aspectus astrorum inerrantium ad solem. Quae cum ab<br />

ipso Auria composita esse appareat, etiam prior scholii pars,<br />

quae supra legitur, incertum est utrum e Graeco aliquo codice<br />

conversa, an ab ipso interprete adiecta sit. De discernendis<br />

ortibus heliaco, cosmico, achronico (sic) pauca commemorat<br />

Rud. Wolf, GescMchte der Astronomic, p. 114sq.


166<br />

SCHOLIA IN LIBRUM I<br />

punctum K oriuntur, veluti quae antegrediantur: haec<br />

autera sol percurrit.<br />

5 IN PROPOSITIONEM II PAG. 58, 1: s


DE ORTIBUS ET OCCASIBUS. 167<br />

tionis gratia sit ? ut occidente a in puncto # astrum<br />

y oriatur in puncto x, et zodiacus circulus positionem<br />

habeat x&v: apparebit iam semicirculus ccsy, sicuti<br />

&VK, supra terram,<br />

et cir-<br />

cuniferentia as erit sicuti cir-<br />

cumferentia &v\ reliqua vero<br />

etiarn, ut reliqua, sub terram<br />

id erit: et proinde occidente a<br />

in puncto


168<br />

SCHOLIA IN LIBRUM I<br />

11 PAG. 66, 17: s6ro to M]<br />

Videlicet TO<br />

astrum oriatur astro /3 occidente, et erit in circumfe-<br />

rentia -frjx, quae quidem est sub terram, quoniam<br />

astrum /3 est supra terrain: quare, quando astrum<br />

occidit, et astrum ^ scilicet oritur.<br />

12 PAG. 68,1: fay CCQCC stirlv % N tfj OM] Quoniam<br />

aequali tempore supponitur astra solis radios effugere.<br />

(Vide scholium positum in margine in 1<br />

quartam huius. )<br />

13 PAG. 68 j 6: dice nhsiovog rjpfaovg svictvtov} Sole<br />

etenim circuniferentiam VKO deambulante astrum /3<br />

ab ortu niatutino apparente occasum matutinum ap-<br />

parentem facit, et quoniam<br />

diniidio semicirculo rnaior<br />

est, ideo maiori tempore dimidio anno astrum /3 id<br />

facit-<br />

li PAG. 70,6: r\ &KO ago, ekaGG&v Itirlv ijpwvxMov]<br />

Demonstratur autem, etsi solis intercapedinem fecerimus<br />

earn quae est inter vx circumferentiam, scilicet<br />

quae est a puncto v usque ad punctuin K, demonstratur<br />

inquam, quod circumferentia |%o omnino mi-<br />

nor est semicirculo, addita etiam conimuni circum-<br />

ferentia vx.<br />

15 IN PROPOSITIONEM vi PAG. 72,25] Itaque sex men-<br />

sibus semper fere astra apparebunt, sex auteni men-<br />

sibus contra occultabuntur 2<br />

).<br />

16 PAG. 74, 18 : f| ohcov ttEQicpoQ&v xal TSTKQTOV]<br />

Nam annus 365 diebus astronomicis, id est rots<br />

j<br />

et quarta insuper diei parte, id est<br />

1) In nostra editione 2)<br />

p. 65 adnot. 3.<br />

Accuratius haec ab ipso Autolyco libri 2 propositione 6<br />

pertractantur.<br />

3) vv%d"rjp()ots expressum est apud Auriara.


DE ORTIBUS ET OCCASIBUS. 169<br />

horis sex, constat. Quarta igitur pars<br />

deficiens est<br />

differentia, qua astrum cum ipso sole non simul oriatur.<br />

(Vide quae sunt annotata in lib. Theodosii de<br />

habitationibus , in prop. X; hue enim spectare vi-<br />

deo tur.)<br />

IN PROPOSITIONEM VII PAG. 76, 10: El plv QVV 17<br />

rrjv AEP itsQicpsgeiav diQ%srai ev o'Aatg ^ kit-<br />

, dijhov &$ dvtiztai Kara TO F] Non deambulat<br />

autem, quoniam,<br />

si in 365 tanturn revolutionibus an-<br />

num percurrit sol, et dimidium circulum zodiacum in<br />

dimidio anno perambulans ornnino occidet in y puncto:<br />

sed quoniam totum zodiacum circulum non percurrit<br />

in 365 revolutionibus tantum, nisi quarta etiam parte<br />

unius revolutionis addita, patet, quod ante y punctum<br />

alio in loco occidet: narn 365 revolutionum pars di-<br />

midia cum quarta insuper parte revolutionis alio in<br />

loco quam in puncto y cadat necesse est. (Vide scho-<br />

lium primum posituni in X proposit. lib. Theodosii<br />

de habitationibus.)<br />

IN PROPOSITIONEM viii PAG. 76, 22] Pro vesper- 18<br />

tina postrema apparitione auctor intelligit occasum<br />

vespertinum apparentem, pro matutina prima apparitione<br />

vero matutiuum ortum apparentem x<br />

). Ergo ab<br />

occasu vespertine apparente ortum matutinum appa-<br />

rentem faciunt astra, quaecunque sunt in circulo zo-<br />

1) At vero Graecus scriptor %6%u.rr\v cpdatv sansQtcev intellexisse<br />

videtur vespertinum apparentem et occasum et ortum,<br />

atque item nq^rj\v cpuGiv euav matutinum apparentem<br />

et ortum et occasum. Nam libri secundi propositione 6<br />

idem demonstrat tarn ab occasu vespertine apparente ad ortum<br />

matutinum quam ab ortu vespertine ad occasum matutinum<br />

singula zodiac! astra per XXX dies latere.


diaco, cum aliquot dies et aliquot noctes occulta per-<br />

manserint. (Lege X proposit. huius.)<br />

19 PAG. 78, 5: ual TO E KGTQOV e6%arG)$ psv<br />

KKTakayipavEG&G) cet.] Videlicet ; postquam sol occidit,<br />

ipso quidem in puncto manente, postremo<br />

astrum e<br />

appareat occidere, et rursus, antequam oriatur sol,<br />

ipso quidem in 77 puncto manente, prirno videatur<br />

oriri. Sole enim nequaquani occupante ipsum astrum,<br />

verum quindecim gradibus ab eo distante, postquam<br />

adhuc euim etiam<br />

occidit, postremo astrum apparet:<br />

ipsum occupante sole, lateat necesse est: quin etiam<br />

sole, niotu rnundo contrario progrediente, non apparet<br />

astrum: rursus sole ab ortu plane remoto, primo<br />

astrum s apparet, antequam ipse sol exoriatur. Recte<br />

igitur primurn erit postreinus ortus *) vespertinus apparens,<br />

deinde primus ortus matutinus, quoniam, ut<br />

se habet in propositione, a vespertino facit matutinum.<br />

20 IN PROPOSITIONEM IX PAG. 82,12: XCCl TO Z &6TQOV<br />

6%dTG)s [LEV 7tQMaTaA,aiifiave6&G) cet.] Videlicet astrum<br />

faciat postremum ortum 2<br />

) vespertinum sole rnanente<br />

in puncto -O 1<br />

, et deinde faciat primuin orturn matutinum<br />

sole in puncto H existente 3<br />

).<br />

21 PAG. 82, 17: KCil 7ti TCI Z H adTQa o^iov dvvsi,<br />

cet.] Si etenini per puncta t] et circulos parallelos<br />

1) Legendum esse occasus docet proxima adnotatio.<br />

2) Immo occasum, id quod ipsum etiam Auriam voluisse<br />

apparet collata p. 22 media, ubi ad Latina, quae respondent<br />

Graecis TO Z KGTQOV G%a-tcQ$ (isv TCEQiytaralcc^i^ccvsGd'co cet., in<br />

margine citat definitionem 8 (nobis nonam), quae est de occasu<br />

vespertino apparente. Accedit ilia definitio, quam idem<br />

supra in scholio 18 proposuit.<br />

3) Praeterea in parenthesi citat Auria r<br />

scholium 1. in 8.<br />

huius' (nobis scholium 18), et in<br />

f<br />

margine !0. prop, huius'.


descriptos intellexerirnus,<br />

DE ORTLBUS ET OCCASIBUS. 171<br />

erunt nimirum circurnferen-<br />

tiae circulorum per et ^ puncta transeuntium, inter<br />

semicirculos non concurrentes interceptae, similes inter<br />

se 1<br />

),<br />

et hanc ob caussam eodem ternpore astra et<br />

T] occidunt, similes namque circumferentias tenapore<br />

aequali praetereunt 2<br />

).<br />

PAG. 84, 1: to H aGtQov ovTtcog exqjev'ysi, tecs rov 22<br />

yMov ccvyag] Siquideui<br />

enim astrum solis radios ef-<br />

fugit, et quoniam astrum r\ retro est ipsi astro ,<br />

patet, quod non longe aberit, quin<br />

solis radios effu-<br />

giat: post igitur aliquot dies solis radios effugiet.<br />

Quare fit, ut maiori quidem tempore quam astrum<br />

maneat occultuni.<br />

IN PKOPOSITIONEM x PAG. 84,19 86,1: rovrttirw 23<br />

1v TI rov p,\v H j] ewa fpaivo^idvri fawohrj] Sole si-<br />

quidem a puncto /3, id est ab occasu, iter faciente,<br />

quandoquidem fecit ipsius astri 17 matutinum ortum<br />

verum in mundi circumvolutione; distante tarnen gra-<br />

dibus quindecim a puncto y sub terrain 7 tune prirno<br />

astrum vj oriri apparebit: quare astri ^ erit ortus<br />

matutinus apparens.<br />

PAG. 86, 1: rov ds rj sGitsQia (paivo^dvri dv6L$] 24<br />

Quo autem tempore sol ad ipsum astrum ^ venit,<br />

simul cum eo occidit: quare erit astri & occasus vesper-<br />

tinus verus: antequam igitur ad ipsum # accedat sol,<br />

distans autem ab eo gradibus quindecim sub terrain, motu<br />

ipsius mundi postrerno astrum # occidere apparebit-<br />

PAG. 88, 2: 6rcu aaa rov H atirgov j] eGrtSQia 25<br />

7tirokr] cet.] Quoniam autem astra, quae<br />

1) f<br />

!3. Theod. 2 Sphaericorum' in margine citat Auria.<br />

2) f<br />

2. Autolyci de Sphaera, quae movetur' idem.


172<br />

SCHOLIA IN LIBRUM I<br />

sunt in circulo zodiaco per diametrum posita, con-<br />

iugate et oriuntur et occidunt *), astro igitur 17 oriente<br />

et astruni A occidit: et sole quidera manente in puncto<br />

A astri 17 est occasus vespertinus verus: sed priores<br />

sunt apparentes veris 2<br />

); sole igitur in puncto v exi-<br />

stente (praeit namque astrum v ipsum A) erit astri<br />

rj postremus 3<br />

) ortus vespertinus apparens.<br />

26 PAG. 88, 11: 6rat, aga rov r\\Cov OVTOS agog TCJ<br />

S TOV atitgov fj saa cpcavo^ievri dvGLg] Rursus, per<br />

eandem 6. Euclid, phaenom., quoniam astra ; quae sunt<br />

in circulo zodiaco per diametrum, coniugate et oriun-<br />

tur et occidunt, igitur astro # occidente et astrum p<br />

oritur: atque sole in ^ puncto manente erit astri #<br />

occasus matutinus verus: posteriores namque sunt<br />

apparentes veris: sole igitur in puncto | existente erit<br />

astri -fr primus 4<br />

) occasus matutinus apparens: poste-<br />

rius namque est astrum | ipso ^ astro.<br />

27 PAG. 90,2: TO ds H TCJ K Gwavarskksi] Quoniam<br />

circumferentiae, quas percurrit sol, cum inter semi-<br />

circulos existant non concurrentes, erunt similes per<br />

13. Theod. 2. sphaer., quas quidem (per 2. Autolyci<br />

de sphaera quae movetur) aequali tempore sol per-<br />

currit.<br />

28 PAG. 90, 20: 'Tnoxsfa&G) yap iGqv dvai ryv BH<br />

vfi F@] Quoniam circulus zodiacus iv Tti vv%&riiLQ


DE ORTIBUS ET OCCASIBUS. 173<br />

punctum g sit in bipartita sectione segmenti |3gy;<br />

puncta autem /3 et y sint in horizonte: quando auiem<br />

punctum g propius accedit ad horizontein vel versus<br />

punctuin /3 vel ipsum y, non amplius<br />

habet eandem<br />

positioneni zodiacus: et erit circumferentia r\fi aequa-<br />

lis ipsi &y.<br />

PAG. 92, 1: eotfre xal r FN rrj BS faq


174<br />

SCHOLIA IN LIBRUM I<br />

31 PAG. 92, 5: CO&TS rov qMov dianoQSvoiievov rr\v<br />

NM& TtBQiysQsiciv cet.] Si enim, deambulante sole<br />

circumferentiam yv et /3| sub terram ; astra apparent,<br />

percurrente igitur circumferentiam v\n^ sub terram<br />

plus ab horizonte distantem, tanto magis astra ap-<br />

parent.<br />

32 PAG. 92, 14:


DE ORTIBUS ET OCCASIBUS. 175<br />

quae maior sit ipsa $, et altera quae minor sit ipsa<br />

yrj circumferentia: quo itaque tempore mundus circumagit<br />

ipsain circumferentiam ds sub terrain inanen-<br />

tem, ipsa yr\ apparet deferri, veluti quae tempore<br />

minori circumferatur supra terram: antequam igitur<br />

sol exoriatur, hemisphaerium apparens transit.<br />

IN PROPOSITIONEM xii PAG. 98, 18: "Earn >yaQ rc5 35<br />

d ccGtgq) rj ahrj&ivri ecoa dvGig TOV fjMov OVTO$ Jtgbs<br />

Tc5 E] Etenim occidente a zodiacus circulus contra-<br />

positionem habebit, et semicirculus asy est supra terram.<br />

Quoniam vero astrum d prius occidit quam<br />

astruma 1<br />

), igitur<br />

astro d occidente et astrum simul<br />

oriens, scilicet , cum ipso d occidente erit in semi-<br />

circulo supra terram ; scilicet in semicirculo asy: quare<br />

sole existente in puncto s, astri d est occasus matu-<br />

tinus verus.<br />

IN PROPOSITIONEM XIII PAG. 102, 20: TG) B CCQCC 36<br />

r\ aito fwag aA^thi'tjg sitirohqg


176<br />

SCHOLIA IN LIBRUM II<br />

IN LIBRUM SECUNDUM.<br />

37 IN PROPOSITIONEM I PAG. 106, 18: Tov<br />

sv d&dexarrjiioQiov] Dodecatiinoriuni vocat auctor duo-<br />

decimam partem in totius rnundi circurnferentia, a<br />

quocunque libuerit zodiaci puncto acceptain 1<br />

).<br />

38 Duodecimam partem non intelligit, veluti verbi<br />

gratia zodiaci circuli divisio si fiat in duodecim signa,<br />

ut sit pars duodecima, aut aries aut taurus aut ge-<br />

mini etc. Sed d&dsKarrmoQiov dicit, si divisa fuerit<br />

mundi tota circurnferentia, in qua situs est et zodiacus<br />

circulus, in partes duodecim, licebit unam harum<br />

partium accipere, a quocunque volueris puncto zodiaci<br />

circuli, quam partem d&dexarriiioQiov dicit.<br />

39 IN PROPOSITIONEM V PAG. 114, 10: xr\V {SoQSlOV<br />


DE ORTIBUS ET OCCASIBUS. 177<br />

ret oriri ; tauto inagis neque ipsa e apparebit noctu<br />

oriri, quoniara tota sub terrain est.<br />

PAG. 108,19: oA^ E4 f\ asQicpsQeia cet.] Quoniain 42<br />

sole manente in puncto g astruni s occidere videtur:<br />

sol etenim ante ipsum occidit: quare et e circuinfe-<br />

rentia non videtur occidere, quoniam tantuni punctum<br />

s videtur occidere: nequaquam igitur tota sd occidere<br />

conspieitur, cum tota sit sub terrain.<br />

PAG. 108, 21 : ovds p^v rj xara di&n&tQOV avtfi q 43<br />

FH] Quoniain punctuni y antegreditur ipsum 17, et<br />

prius occidit quam ipsum v\\ quare et tota i?y circum-<br />

ferentia occidere non conspicitur: solumniodo enini<br />

punctum y<br />

occidere videtur.<br />

PAG. 110, 2: ovds priv f] xara did^rgov cet.] Et- 44<br />

enim occidente circumferentia sd et puncto s viso oc-<br />

cidere, et ipsi per diametrum positum punctum 17<br />

1<br />

apparebit oriri<br />

). cum autem punctum y antegrediatur<br />

et supra terrain sit, necessario tota yi? circumferentia<br />

supra terrain conspicietur; quare et tota oriri videbitur.<br />

IN PROPOSITIONEM II PAG. 110, 16: % ds E@ rj^lS- 45<br />

QCCS KvareMovGa ov% OQarai] Propterea quod sol supra<br />

terram existens facit, ut ipsa circumferentia # minime<br />

appareat: prius enim quam ipsa oritur.<br />

PAG. 110, 19: 17 ds E xegitp^QSia yaivsrat, dv- 46<br />

vovGa] Etenim sole antegrediente ipsam & circumferentiam<br />

et propterea prius occidente, quando punctum<br />

s occidit, tota circumferentia eft apparet occidere,<br />

quoniam quidein punctum


178<br />

SCHOLIA IN LIBKUM II<br />

47 IN PKOPOSITIONEM IV PAG. 114, 5: xal 6ro 87tl<br />

1<br />

rov II ronov] Ita ut circumferentia ft?) ) sit dirnidiura<br />

signum: quoniam ipsa tota %"^ sex signa comprehen-<br />

dit, veluti quae<br />

semicirculi circumferentia sit.<br />

48 PAG. 114, 7: aTto ds rov H fipfoovs Jcodtov TCSQI-<br />

cpQiav~\ Scilicet inoveatur sol a puncto rj, per diinidii<br />

signi circumferentiam distans, usque ad punctum it.<br />

49 PAG. 114, 8: ra M N atirQa anb eaas ccvaro-<br />

Afjs stiitSQiav avarohqv vtoietrai] Quoniam est suppositum<br />

astra ft et v simul cum puncto ft oriri, atque<br />

ostensuni est quideni de astris ft et v, et simul etiani<br />

demonstratuni est de astro #, quod est in zodiaco<br />

circulo, etsi de hoc in propositione<br />

nulla sit mentio<br />

50 IN PROPOSITIONEM v PAG. 114, 11: rd$ re ecvato-<br />

hocg ual rag dv


DE ORTIBUS ET OCCASIBUS. 179<br />

PAG. 116,20: rov KQK ^Atou enl rov O yevoiievov 52<br />

cet.] Quoniarn per sextam Euclidis Phaenom. astra,<br />

quae in circulo zodiaco per diametrum sunt, coniugate<br />

et oriuntur et occidunt: astro igitur |, cuni per diametrum<br />

sit ipsi v, et J oriatur, necessario et ipsum v<br />

occidet: quare cum astrum matutino ortu oriatur<br />

sole manente in puncto o, et astrum v contra matu-<br />

tino occasu occidet.<br />

IN PEOPOSITIONEM VI PAG. 120, 21 1 TO d CC6TQOV 53<br />

stimQiav ertirohrjv Ttoistrai] Etenini sole in puncto g<br />

existente astri y est occasus vespertinus: sed occi-<br />

dente y 1<br />

) astro et astrum $ oritur per<br />

sextain Eucli-<br />

dis phaenom.: sole igitur in J puncto manente astri<br />

d est ortus vespertinus.<br />

PAG. 120 ; 25: Mil cpavsgbv on jtevrs gcodtcc dia 5-i<br />

Ttsvra^vov disgusted,] Est enim circumferentia dy zo-<br />

diaci semicirculus et sex signa continet: cum auteni<br />

circumferentiae ds et yg unum signum zodiaci com-<br />

praehendant, reliqua igitur circumferentia s% quinque<br />

continebit signa, quae quidern spatio rnensiurn quin-<br />

que percurrit<br />

astrum d.<br />

PAG. 122 ? 3: rr\v e&av dvGiv TCOLBI rc5 4 aGtya 55<br />

cet.] Etenim existente sole in 17 puncto, in niundi re-<br />

volutione astri y est ortus matutinus: sed puncto 7<br />

oriente et astrum d occidit 2<br />

): quare sole in v\ puncto<br />

manente astri d est occasus matutinus, et neque oriri<br />

neque occidere videtur astrum d toto eo tempore quo<br />

sol circuniferentiam 777 percurrit, scilicet per triginta<br />

1) G, id est 77, expressum est apud Auriam; veram scripturam<br />

praebet Graecum scholium x.<br />

2) Eucl. phaenom. 6 citat Auria in marg. p. 48.<br />

12*


180<br />

SCHOLIA IN LIBRUM II<br />

dies, quoniam sole progrediente a puucto g et punctum<br />

quidein y non amplius distaverit ab ipso quin-<br />

decim gradibus: igitur neque apparebit facere vesper-<br />

tinum occasuin: quare et neque astrum d, quod ipsi<br />

y est per diametrum positum, ortum vespertinurn facere<br />

videbitur. Rursus autem sole ante punctuni 77<br />

manente et neque astruni j> distaverit quindecini partibus<br />

ab ipso puncto q: igitur neque apparet ortum<br />

niatutinum facere: quare neque astruni d, per diame-<br />

trum ipsi manens, occasum niatutinum facere videbitur.<br />

56 PAG. 122,5: rrjv


DE ORTIBUS ET OCCASIBUS. 181<br />

PAG. 128, 2: xcd aQoyyetrai TO K rov O] Zodiaci 59<br />

circuli signa ab occidente ad orientem obtinent posi-<br />

tionem, verbi gratia, aries in occidentis parte; post<br />

arietem sequitur taurus magis ad orturn; deinde gemini<br />

etiarn magis ad ortum; rursus cancer, et similiter<br />

cetera signa zodiaci. Atque haec signa els ra<br />

7t6[ivcc, id est in consequentia, nioveri dicuntur, quia<br />

a sole cornprehenduntur ab occidentis rnotu ad orien-<br />

tem, ut exempli gratia ab ariete incipiendo taurus<br />

consequitur ipsum arietem, quoniam sol prius com-<br />

preliendit arietem quam taurum. Similiter gemini<br />

consequitur taurum, et isto modo cancer consequitur<br />

signum gernini, et sic de ceteris, et hoc modo signa<br />

appellantur consequentia. In antecedentia autem et,<br />

ut graece, els r^ TtQorjyov^isva dicuntur contra moveri<br />

a rnotu universi ab ortu ad occasum. Verbi gratia<br />

dicimus in hoc ruotu cancri signum magis orientale<br />

antecedere signum gemini, quod est minus ad orien-<br />

tem versus. Similiter gemini signum antecedere tau-<br />

rum, et tauri signum antecedere arietem etc.<br />

IN PROFOSITIONEM VIII PAG. 130,3: TOV ds F $V- 60<br />

vovrog rb H SGXSQIOV avax&fai] Nam astro y occi-<br />

dente et d per diametrum ipsi positum oritur per<br />

sextam Euclidis phaenorn.; sed cum astro d oritur<br />

quidem astrum ^ simul: quare astro y occidente et<br />

ortu oritur.<br />

ipsum r\ vespertine<br />

PAG. 130, 22: xal 6nv q AFN nsQKpsQeia 61<br />

rrjs<br />

NzJA shaGtiav] Quoniam circuniferentia Ay circumfe-<br />

rentiae v\ aequalis est (utraque enim signi dimidii<br />

partem continet), sed yv^<br />

circumferentia minor est<br />

semicirculo, quare et circumferentia kyv<br />

est etiani


182<br />

SCHOLIA IN LIBRUM II<br />

minor semicirculo: igitur et reliqua vSl maior semi-<br />

circulo est.<br />

62 IN PROPOSITIONEM IX PAG. 132, 21: fiogl6rQOV<br />

plv TO E, von&rsgov ds TO K] Non solum astra ac-<br />

cipiuntur<br />

in horizonte borealiora et meridionalion<br />

ipso zodiaco, sed etiam, ut hie, sub ipso<br />

zodiaco a<<br />

cipitur astrum % meridionalius, quamvis non sit ii<br />

horizonte acceptum.<br />

63 IN PROPOSITIONEM X PAG. 136, 22: V C? 6 %<<br />

rrjv KFM TtQicpQiav diQ%rai\ Ac manifestum est,<br />

quod astrum occultabitur, quo tempore sol circumferentiani<br />

ny^i percurrit. Quoniam autem *) sole in K<br />

manente astrum. ortu vespertino oritur, scilicet<br />

postrenio apparet<br />

oriri 2<br />

), et sole existente in puncto<br />

^ astrum occasu niatutino occidit, videlicet primo<br />

3<br />

occidere conspicitur ) , quare astrum occultabitur<br />

sole circumferentiani nyy, percurrente.<br />

Ttsvrs tir\vG>v] Quoniam<br />

vero astrum A per diametruin est positum ipsi<br />

64 PAG. 138, 4: Keel


DE ORTIBUS ET OCCASIBUS, 183<br />

PAG. 138, 6: xccl 0Tiv % N^J skaGGav fcodt'ot/] 65<br />

Quoniam circuinferentia vdiq assumpta est uti diinidium<br />

signum, ideo circuinferentia vd est minor dimi-<br />

dio signo. Est autem d& circuinferentia dimidium<br />

signum: quare tota vd& integro signo<br />

zodiaci minor est.<br />

IN PROPOSITIONEM XII PAG. 140, 27: iltl TCC 7tQO$ 66<br />

UstirjiiflQiKv] Necessario addidit auctor 'quae versus<br />

meridiem sunt, ita ut quae siniul cum his oriuntur<br />

astra ab iis quae simul cum iisdem occidunt, signi<br />

nuius circuinferentia distent': etenini nullum eoruni<br />

astrorum quae in zodiaco circulo sunt, neque etiam<br />

quae sunt ad septentrionem ,<br />

aut 1<br />

) vespertinum<br />

in propos. XI prinii lib. patet.<br />

videbitur in una nocte<br />

oriri aut 1<br />

) niatutinuin occidere, ut<br />

PAG. 144, 1 : TO E &6TQOV itfittgiov


184<br />

SCHOLIA IN LIBRUM II<br />

69 PAG. 146, 19:<br />

0FK 7tQi(p0t,av<br />

xal KQvfyw aysi, iv w 6<br />

Tr\v<br />

dieQ%TKi cet.] Quoniam est demonstratum,<br />

quod sole in loco # *) manente astrum s<br />

postremo occidere<br />

2<br />

videtur ), et primo oriri conspicitur<br />

3<br />

) sole existente in puncto x, quare occultatur sole<br />

deambulante<br />

4<br />

circumferentiam 'Oytf ), quae minor est<br />

zodiaci signo.<br />

70 IN PKOPOSITIONEM xv PAG. 150, 18: TO E<br />

%al ?<br />

postremo apparuit vesperi occidere, atque etiara quidem<br />

magis distante a sole astro 7, vesperi magis<br />

astrum occidere videtur. Quando igitur sol inventus<br />

fuerit in quocunque puncto circumferentiae ^, astrum<br />

s eadem nocte et oriri mane et vesperi occidere con-<br />

spicitur.<br />

71 Indifferenter autem dixit, quod astrum et ortu<br />

matutino oritur et occasu vespertino occidit: nani in<br />

medio circumferentiae &YI sole manente astrum s apparet<br />

tantuin, non autem etiarn vel matutinum oriri<br />

vel vespertinum occidere 5<br />

).<br />

72 PAG. 152, 4: Hal TO E aoa t&ov dvvei] Etenim<br />

1) Auria iternm F, id est , habet.<br />

2) Id est, occasu vespertino occidit. AURIA in marg. p. 63.<br />

3) Id est, ortu matutino oritur. IDEM.<br />

4) Rursus FCK, id est yx, Auria.<br />

5) Hoc scholium Auria priori subiungit,<br />

tiquo' in margine adnotans.<br />

f<br />

Ex scholio an


DE ORTIBUS ET OCCASIBUS. 185<br />

quanto niagis sol ab astro d distaverit, tanto inagis<br />

videtur astrum occidere, quousque sol ad locum r\<br />

accesserit: ibi enim sol cum erit, astrum s postremo<br />

occidere conspicitur.<br />

IN PROPOSITIONEM xvi PAG. 152 , 17: Gvvavarsk- 73<br />

Astoo dl tav Ertonev&v nvl tea F] Quoniam vero y<br />

astrum prius oritur<br />

1<br />

quam astrum f<br />

), igitur y oriente<br />

astrum s etiam sub terrain est: quare s simul quidem<br />

oritur cum aliquo eorum astrorum quae consequuntur<br />

ipsum y, videlicet cum ipso J simul oritur. Et partes<br />

occidentales sunt versus y punctual, mundus autem<br />

ab ortu convertitur ad occasum, videlicet a d puncto<br />

ad partes ipsius y: ideo consequentia astra ab occasu<br />

ad ortum sunt, quae videlicet a puncto y ad partes J<br />

et ft tendunt.<br />

PAG. 154, 14: TO E KQvtyiv a%ei\ Etenim sole in 74<br />

loco A existente astrum e postremo apparuit occidere:<br />

quare non apparet deincle, quousque sol ad punctum<br />

^ accesserit: tune enim primo oriri videtur. Quare<br />

sole circumferentiam totam kyp deambulante astrum<br />

occultum latebit.<br />

IN PKOPOSITIONEM XVII PAG. 156, 11: $OV ttQO. 75<br />

dvvei ro F, HKL rb E] Quoniam d astro oriente et<br />

astrum y} ipsi d per diarnetrura positum, occidit per<br />

sextain Euclid, phaenorn., quare oriente d astro ortu<br />

matutino et y occidet occasu matutino. Et quoniam<br />

positum est astrum s simul occidere cum astro y,<br />

quare et ipsum astrum e occasu matutino occidit.<br />

1) Autol. de sphaera quae movetur -9 Auria citat in<br />

marg. p. 67.


INDEX IN AUTOLYCUM.<br />

)ompendia scripturae 2cp., 'En., 2%. significant librum<br />

Kivovfisvrig GyctiQKg, libros negi Imxol&v ncci dvcecvv (ac<br />

nota quidem I priorem, II alterum librum), denique G%6liK.<br />

Numeri qui haec compendia sequuntur sunt paginarum, proximi<br />

quique connnate interposito versuum. Singuli eiusdem paginae<br />

versus punctis, paginae a paginis sernicolis distincta sunt.<br />

Prout idem vocabulum vel eadem verbi forma saepius<br />

redibat, nisi forte ad unum omnes loci afferendi esse videban-<br />

tur, adiunctis notis cet. vel similiter passim significavimus scriptoris<br />

usuni dicendi iis locis qui ante citati sunt satis illustratum,<br />

eaque de causa reliquos eius generis locos omissos esse.<br />

Conf. praefationem in indicem Graecitatis Pappi vol. Ill<br />

torn. II.<br />

"A y E i v , ducere rectam : dyo[i -<br />

vcov Z%. 26, 31; ^KTKL Zcp. 4,<br />

23; i]%&co 4, 9. ducere, movere:<br />

TO nav ay EL TTJV E4<br />

nsQicpQSiav 2%. 96, 28 s. ;<br />

TOV nuvTog ciyuyovTog ctvrci<br />

(TK 0.6TQK) Z%. 86, 18 s.<br />

peculiariter astra dicuntur<br />

aysiv, occultari: KQVayei<br />

'En. II 132, 15 s.<br />

19. 23; 138, 6; 146, 19. 21;<br />

ayov 106, 20; |st 132, 5.<br />

22. 24; 134, 9. 13; 138, 13s.;<br />

142, 3s; 144, 6. 14; 146, [25.]<br />

27; 150, 2. 10; 152, 13. 154,<br />

14. 15 s. 22; 156, 21. 23;<br />

158, 4. 26s.; 2%. 136, 26. 31.<br />

Z%. 150, 33;<br />

adnot. ad 150, 21.<br />

p.<br />

ros: OTtsg saxlv ddvvcctov<br />

(p. 12, 4. Conf. aronoq.<br />

KSL Z%. 14, 31 cet.<br />

at si Sep. 4, 20; 12, 13. 14;<br />

16, 9. 23. 24; 18, 5. 6; 20, 1<br />

(bis). 3; 22, 3. 4 cet.; 'En. I<br />

82, 2; 84, 16; II 116, 9; 118,<br />

11; 120, 19. In codicibus aliquotiens<br />

scriptura asi reperitur:<br />

vide p. XXIV adnot.<br />

ad 4, 20, p. XXVI ad 12, 13.<br />

14 cet.<br />

}<br />

axoAo v&siv : ay.o%ov&ovv,<br />

soil. dfodsKarrjiJiOQiov, 'En. II<br />

110, 10; dno1.ovQ'riGK>[iv 2%.<br />

70, 31.<br />

'En. II 122, 2.<br />

64, 29.<br />

rj adriftwr] leocc<br />

i 'En. I 50, 16, vel 17<br />

EWD: cclrj&ivr} sntrol^ 'En. I<br />

52, 8, vel rrjg cclrj&ivije (soil.<br />

'<br />

snirolfis) 'En. I 50, 18;


52, 10, ac similiter passim;<br />

fcpag OVGTJS dlriftivfis sitiro-<br />

JLTJS 2%; 84, 28; rj eonsQicc<br />

dirj&ivri dvaToltj En. I 54, 3<br />

cet.; TJ<br />

(x>K dirjd'Lvrj dvoig<br />

omisso sajcc<br />

2%. 64, 23' (item<br />

64, 24), vel tfjs dlrj&ivijs (scil.<br />

OJK$ SVGSCOS) 'En. I 52, 14.<br />

28, vel zov B KGTQOV r\ dlrjftivr]<br />

coa earl dvcig 52, 12 s.,<br />

ac similiter passim ; dlrj&ivaL<br />

(scil. BniTOhct-l T Y.Cil dvGflC;)<br />

'En. I, 48, 6, TCOV dirj&ivcov<br />

48, 7; 50, 7s. 9 cet. cet<br />

dlri&ivKi, scil. scout<br />

'<br />

in<br />

sntToicct<br />

citanda<br />

TS Y.KI dvGsi? ,<br />

priore parte libri de ort. I<br />

propositionis I: VGTSQKI de<br />

SLGIV cci cpuiv6[Lvui TCOV dirjdivav<br />

'En. I 56, 26 s.; 60, 7 s.;<br />

64, 1; 66, 18 s.; Z%. 88, 28s,,<br />

Tel VGTSQOV et cetera perinde<br />

3<br />

En. I 62, 12 s.; at u.lri&ivu.i,<br />

scil. sGnsQiai, sniToXcti TS ncti<br />

dvGsis, in citanda eiusdem<br />

propositionis parte posteriore:<br />

nQOTsgcci ds SLGLV act<br />

qpccivofjisvcii TCOV dkrj&wcov'En.<br />

I s.; s.; 58,^5 60,^12 Z%. 88,<br />

22; TJ d%r}d'ivr}, scil. sGnsQia<br />

iniroiri, item in citando uno<br />

casu eiusdem propositionis:<br />

ngoTSQU Ss SGTLV rj cpKivo-<br />

(isvT) xr\g dlrjd'LvrjS I 72, 6,<br />

vel r\ cttrj&ivri, scil. ZCQK 8vojg,<br />

similiter in citando uno<br />

casu eiusdem propositionis:<br />

nQOTSQK ds KGTIV T) dlrj&ivr]<br />

rri & aiicc.<br />

GTiV GVVCiVKT^\OV TO Ml 16,<br />

8 (conf. praef. p. XL VI).<br />

%. 156,<br />

^<br />

civ appositum optative 'En. I<br />

74, 14; 76, 14; ndvTcog dv<br />

dvv } 2x.JQ, 28.<br />

Jcos uv,<br />

olos av , OTTOV av, oVog KV:<br />

vide haec vocabula.<br />

dvd praepositio sensu distributive<br />

posita: KUTQK TCOV


188<br />

HZ Z(9 (nSQlCpSQSLOJv} O.VK<br />

j'lpiav SGTIV (o8iov 'En. I 92,<br />

11 s.; eadem' loco adverbii<br />

posita: SKKTSQU raiv HS &N<br />

SGXLV 94, 1 s.; similiter KVK<br />

dvo ep$Lcov 94, 3 s.; atque<br />

etiain 94, 2 uva dvo fjfiiGovg<br />

tpSta>v pro TJfiiGv restituendum<br />

esse videtur. Conf. quae<br />

a nobis commemorata sunt<br />

in Fleckeiseni annalibus<br />

(JahrMcher fur dassische<br />

741 s.<br />

Philologie) 1884 p.<br />

uvayHocicos 2%. 140, 28.<br />

uvunuliv 2%. 134, 31.<br />

uvar&KTisiv dicuntur puncta<br />

2cp. 12, 12. 22; 14, 6. 9. 12.<br />

19. 26 cet., vel circulus Zy>.<br />

42, 1 s. (conf. avaToPvij); 2%.<br />

16, 27 s. cet., vel semicirculus<br />

Zy. 42, 19 s. 22, vel circumferentia<br />

Zcp. 42, 1416.<br />

17. 18; 'En. II 108, 7; 2%.<br />

28, 35 cet., vel sol 'En. I 48,<br />

8. 9. 16. 1.8; 50, 14. 19; 52,<br />

15 cet. (conf. r/Atos), vel astra<br />

Zcp. 34, 16; 'En. I 48, 12 cet.;<br />

2%. 116, 28 cet., vel co8ia<br />

'En, II 112, 13. Forrnae<br />

verbi occurrunt hae: KVUT^-<br />

lei. 2


trj dvaroky 126, 25; cog C?TTO<br />

dvarolrjg snl dvGfidg 2%. 126,<br />

17; nQog dvaroldg 'En. 194,<br />

13 (conf. n$6g)', TtQog tatg<br />

Y.KTK<br />

dvarohaig 2%. SO, 31 s. ;<br />

rag dvaroldg: vide nurd; fjrt<br />

avuroldg 2%. 126, 31 s.; 128,<br />

19. 20s. 21 cet.; arco araro-<br />

Zcov 2?. 128, 25. dlri&ivri,<br />

scnsQia, fcotf, dvacpaivofisvrj<br />

ToAr?<br />

cpKivsG&Ki. Conf. sniTolri,<br />

dvGig, dvG{n], item verba dvareMsiv<br />

cet.<br />

vctrohtKog: fGrco dvccrohiv.cc<br />

: vide haec adiectiva et<br />

(JLSQ7) ra Z H 2


190<br />

AE sv&stav v.d&STog 2cp. 4,<br />

9 s.; dnb TOV V.SVTQOV rrjg<br />

GcpKiQKg KK&STog TptTat 4,<br />

22 s. ; r; dnb rov A snl TO E'<br />

snisvyvv(isvr} SV&SLK 8, 15 s.;<br />

similiter 2%. 26, 23 s.; OTKV<br />

to H crjfislov KQ^Kfisvov dnb<br />

TOl E GTj(llOV Snl TO A TtCiQCiysvrjTKL<br />

Zrp. 38, 1214; dcp'<br />

ol'ov dv sftslyg crjpsiov, sell.<br />

KQJ-KG&aL, 2%. 106, 25s., ac<br />

similiter aliis locis; dnb KQIOV<br />

6 TKvgog TCO xptra snopsvog,<br />

dnb TKVQOV dtdv^oi, cet. 2%.<br />

128, 22 24; TO dnb TOV J<br />

ruiinvnUov 2cp. 30, 8; similiter<br />

30, 9; 'En. I 82 10 s.<br />

;<br />

18 20 cet. (conf. KGvfiTtrca-<br />

TOff); TOV T^t'ov onto TOV P<br />

oWoff Zx- 84, 29 s.; iav ret<br />

cvvSvvovTcc dnb TOJV GVVCLVU-<br />

TsMovTcov CCGTQCOV Kn%rj cet.<br />

'En. II 144, 9<br />

ll^ac similiter<br />

passim: vide dns%^iv in<br />

formis dns%r) et ajr^ovTO?;<br />

dnb TGZV Z H a>$ sni TK A ME<br />

[isgrj 2%. 82, 28; dnb TOV F<br />

snl TO Z v.al M Z%. 152, 29 s.;<br />

cog dnb TOV Z inl TO F Z%.<br />

152, 28; TK dnb TOV F to?<br />

snl TO @ Y.KL M (UGTQK) 2%.<br />

144, 27s.; dnb dvapaiv 2%.<br />

84, 27; dnb dvatiwv snl dvcc-<br />

Tolds Z%. 126, 31 s.; 128, 19;<br />

cog dno dvaTohfjs snl SvGfiKg<br />

%. 126, 17; dnb dvarolcov<br />

snl SvG^dg Z%. 128, 25; dnb<br />

dvKTohatv snl SVGLV 2%. 152,<br />

28; dnb dvcscov snl dvaToldg<br />

Z%. 152, 28; dnb smug ^KLvofisvqs<br />

sniTolris vel Svoscog<br />

'En. I 56, 17s.; 58, 16s.; 60,<br />

24; 62, 7 cet. (conf. yiyvs-<br />

G&Cil et TTOlftV); (bGTKlO %QOvog)<br />

TCO H KGTQO) dnb smug<br />

snl TJ\V<br />

smTOli\v<br />

'En. 1 88, 6s., similiter<br />

88, 14s.; item dnb Trjg swag<br />

sniTokrjg snl TTJV sGnsgictv<br />

sniTo\riv vel similiter astra<br />

dicuntur naQuyiyvEG&cti vel<br />

nuQstvai vel fjnsiv: vide haec<br />

verba; dnb r\ scoag dkrjd'ivfig<br />

sniTolrjg swa dhrj&ivr] dvag<br />

2%. 102, s.; (6 faiog)<br />

3^1 dnb<br />

SGnsQiag (sniTokijg) SWKV not-<br />

SLTKI 2%. 80, 34 s. '-- aTro',<br />

propter theorema aliquod, 2%.<br />

4, 30; 30, 25. 26; 36, 16. 17;<br />

^38,<br />

19; 132, 25. 30.<br />

dnods iKVvvai : p&ss.dnoSsi-<br />

KVVT,O.I 2%. 114, 22; dnsdsi%&ri<br />

10,<br />

31. Conf. SsiKvvvKi.<br />

2%. 119, 1.<br />

SV%&SV TO 7][llKVKll,OV Sig TO<br />

KVTO nd2.IV dnOKKTKGTCl&f]<br />

2cp. 4, 13 s.<br />

i]<br />

dA (nsQLcpsQSLcc)<br />

3<br />

En. II<br />

120, 4; Knsikrjcp&CQ (pSiov<br />

nsQicpSQSiu 108, 5 s., similiter<br />

120, 3 s. /; 124, 6 cet.<br />

126, 7 s.<br />

5j/<br />

OGK (scil. KGTQct, vel<br />

OGa TK>V KGTQCOV vel similiter)<br />

dnoAttfiBdvsTKi vnb TOV codLKKov<br />

En. II 112, 17 s.; 122,<br />

11. 13s.; 128, 5. 8s.; 132,<br />

3s.; 138, 7; 140, 26; 148, 26;<br />

154, 17; TOig dnola(iavo(jisvoig<br />

KGTQOIS vnb TOV wdiav.ov<br />

'En. II 144, 8; item<br />

omisso aGTQOig 134, 1; 146,<br />

22; 152, 8; 156, 25. Conf.<br />

Martinum Revue critique d' liistoire<br />

etc. (loco in praef. p. V<br />

laudato) p. 415, qui de verbis<br />

dno'kKiL$dvG&cti vnb TOV<br />

ZcoSictHov snl TK nQog dgHTOvg<br />

vel snl TK nQog[iGr](JipQLKv dis-<br />

serens, Ces mots, inquit, regoi-


vent id une significationpcu Jia-<br />

bituelle, qu'il est bon d'expliquer:<br />

Us s'appliquent aux<br />

etoiles fixes (aar^a), mises a<br />

part, les unes du cote du nord,<br />

les autres du cote du sud, par<br />

le zodiaque, c' est- a- dire aux<br />

etoiles fixes situe'es an nord<br />

ou au sud de la bande zodia-<br />

cale.<br />

dnoGTKGig TOV rfiiov Z%. 70,<br />

: cinTETKl Ttjg AB<br />

TCOV H KM (svftsicov)<br />

2(f. 26, 12; 77:965 nd-<br />

Gug Tag dnTOfisvag uvTi]g iv<br />

TCO HZK sniniSca oQ&r]<br />

S'GTLV r) AB 26, 10 12; (sav]<br />

KvnKog psifcovcav dnr-^Tai jj<br />

u>v 6 OQIG>V KnrsTKi 40, 13 s.;<br />

similiter KmsG&co r] cov<br />

scpUTtTETCU, 40, 28 s.; 01 TOJV<br />

KVTWV SCpKTCTOfJiSVOL {LEyiGTOL<br />

JfU/t^Ot, CQV KKI O OQl^COV K7tT-<br />

TKL 28, 14 s. Conf. scpuitTE-<br />

G&Kl.<br />

uTtaiTSQov p. XXIX adnot.<br />

ad 24, 13.<br />

KltCOTSQCO Z%. 80, 23.<br />

a QK 2y. 6, 2; 8, 6. 11. 15.<br />

17 cet.; 'En. I 50, 16; 52, 1<br />

cet.<br />

: TtQOS CCQHTOV$ n.<br />

60, 26; 62, 6; 66, 3; 70, 23<br />

cet.; 2%. 112, 28; TIQOS KQKTOV<br />

I 86, 9; II 112, 18 (at priorem<br />

ex his locis antecedit<br />

TIQOS UQKTOVS 84, 13, posteriorem<br />

sequitur idem 122,<br />

12). TK ngbg KQurovs: vide<br />

6,<br />

1 TO.<br />

TO fi[iiy.vKhov slg TO KVTO<br />

OTCCV TO<br />

d"fl oQ'sv %(}-<br />

. 4, 13 15;<br />

KUO rov E GrtfiSLOv<br />

191<br />

snl TO<br />

A iKXQccysvriTcti 38, 12 14;<br />

similiter 38, 14-16; 40, 3 5;<br />

. 126, 18.<br />

uQXrjS Z


192<br />

18 20; Vel COffTS K6V(Ji1fTCdrov<br />

slvai cet. 82, 911; 86,<br />

47; [ISra^V TGJV aGV[inr(nrcov<br />

77 [jiwvKkicov 2cp. 30, 13 s.;<br />

21 s.<br />

2%. 82, 29; 90,<br />

aronoq: onsq scr\v aronov<br />

2cp. 14, 7; 24, 14; 32, 4; onsQ<br />

aronov 8, 17; 22, 1; TO KTOnOV<br />

nUQaGrrjGOlJiSV 2%. 26, 24.<br />

avyr'j: astra dicuntnr sfininrsLV<br />

si? toes rov i]Uov avyds<br />

'En. I 82, 21, vel sc%drcos<br />

nsQiKarahaiifiavscd'ai, vno<br />

r&v rov Tjitov avywv 78,<br />

68; ^82, 13s., vel^ SKCpsvysiv<br />

rug rov ffiiov avydg 52,<br />

3. 20. 21; 64, 4s.; 66, 20s.;<br />

70, Is.; 78, 9s.; 82, 15; 84,<br />

5. 8. 18;<br />

68, 25s.;<br />

vel alio<br />

86, 14; 92, 5; 2%.<br />

84, 21; 112, 79;<br />

verborum ordine<br />

sncpsvysiv TOV fjMov Tag avyds<br />

'En. I 74, 17, vel rag<br />

avyds sncpsvysiv ra KGrga<br />

TK$ rov riUoV !l 108, 11s.;<br />

f<br />

vel brevius (acrgov} cpvybv<br />

rug Kvyccg 2%. 84, 23. sri<br />

ccvyKi slGiv 2%. 54, 30; 60,<br />

29.<br />

p. VI s.; XXXV adnot.<br />

ad 46, 18; Zy. 2, Is.;<br />

2%. 44, 30; 66, 22; 84, 20;<br />

96, 26; 98, 28; 102, 27; 144,<br />

25 s.; 152, 24 s. idem nsgi<br />

Znirolav v.ai dvcscov p. VII;<br />

XLIV adnot. ad 106, 14;<br />

LIV ad 158, 28; 'En. I 48,<br />

Is.; II 106, 15s.; ano rov i<br />

rov nQL snirolaiv xca dvcecov<br />

rov a $i$lov 2%. 132, 25s.;<br />

ano rov is' rov a pifiMov<br />

rov avrov 2%. 132^ 30. Conf.<br />

p. 133 adnot. 3 et 5.<br />

dem ngog 'AQiGro&riQOv<br />

K p. VII S.<br />

eius-<br />

diet-<br />

ccvrog: avrov 2y. 4, 12; 6,<br />

24; 'En. I 78, 18; 96, 18; II<br />

120, 18; 132, 11 cet.; avrto<br />

2y. 4, 15; 'En. I 62, 18; 72,<br />

12 cet.; II 106, 20; 116, 16.<br />

17 cet.; ccvrov 2. 16, 17<br />

cet.; ttvroov 8, 5; avr^g 4, 1;<br />

14, 19; 'En. II 110, 9; txvrfj<br />

108, 21. 23; avrrjv I 100, 5.<br />

15. 29 cet.; II 112, 6 cet.;<br />

ccvrci I 96, 15; uvrotg II 134,<br />

3. Si avrov rov KOVO$<br />

2%. 26, 28 s. (at nsgiys-<br />

QSiai) slclv rov avrov nvniov<br />

2cp. 12, 2s.; at kv TOO avrw<br />

uvula nsQicpSQBiai 2%. 10, 26;<br />

sv TOO avrcp rov AB v,vulov<br />

smn'sdcp 2%. 26, 32; ra snl<br />

rov avrov uvnlov GYHISICC, 2%.<br />

10, 27; rcov snl rov avrov<br />

'En. II 132, 3; nolog rov av-<br />

rov, scil. xux^ov, 2%. 18, 21;<br />

rovs avrovs nohovs 2cp. 2,<br />

15; 4, 6. 27; 6, 1. 4; sv TOO<br />

avra) %QQV(p 2%. 82, 30; TOV<br />

avrov hoyov 2cp. 2, 7; rrjs av-<br />

rrjs vvnros 'En. II 146, 25 cet.<br />

(conf. Wp); sv ry avrfj vvv,r<br />

144, 1, item omisso sv 142,<br />

2 ; &SGW tr\v avriqv 'En. I<br />

100, 1; TO avro serai II 116,<br />

13; 118, 13; sera) ra avrd I<br />

56, 5; TToog TW avrto Gruisicp<br />

2%. 26, 31; -nard TO avTO<br />

67](istov 2%. 18, 27; Kara rd<br />

avra GTj^isia 2cp. 16, 9; 22,<br />

8. 18s. cet.; sis TO avro 4,<br />

14; Hard rd avrd 'En. I 72,<br />

21; Sid rd avrd: vide did;<br />

r&v avrav vnoKSipsvcov: vide<br />

hoc verbum.<br />

dcpaiQOvvrss 2%. 116, 31.<br />

pass. (nsQifpsgsiav) dcpaiQov-<br />

2%. 116, 32; (nsQicps-


dcpr]Qi]Gd'03 'En. II 110,<br />

8; 112, 5; 114, 1; 116, 1. 3.<br />

19 cet.; 2%. 92, 16.<br />

cccpccvrjs (KVY.IOS) 2cp. 16, 24;<br />

18, 6; 20, 2; 22, 4; 30, 2;<br />

dice to tov Tjhtov ucpttvrj avrr^v<br />

(rj]v nsQicpsQSiuv*) noistv<br />

2%. 110, 28; ngog T dcpctvEL<br />

7r 2y. 16, 23; 18, 6; TO<br />

acpKveg fjfjLiGcpaiQiov xr\


1!<br />

'En. I 62 , 7s.; similiter 64,<br />

10s.; 70, 25 s.; 96, 22 s.; 98,<br />

7s.; 102, 9s. SOs.^cet.; yi-<br />

VOVTCil at 0)011, SvGt.S 2%.<br />

122, 35; Y.KL TIJS 6nQias<br />

KVKTohijg v,al rrjg Iwag 8v-<br />

Gms yvo[ivr)s 2%. 144, 20 s.<br />

Conf. sivcci et noiztv med.<br />

6 TJllOS TtQOS TOO P y-<br />

'En. I 62, 21; TOV fatov<br />

nl TOV N yVO(jLVOV II 116,<br />

1 s.; similiter 116, 20s.; 120,<br />

20. - - e scholiis praeterea<br />

enotavimus formas yivsTcti,<br />

12, 24; 64, 30. 32 cet.; yt-<br />

VOVTUI, 122, 35 cet.; ysvoiTO<br />

116, 30; yivG&Ki 134, 28;<br />

iysvero 66, 23; ysvo(ivov 58,<br />

20. 29; 64, 21 cet.<br />

oajtfi7, linea vel lineae<br />

segmentum Zy. 2, 6. 7. 9<br />

(bis). 10.<br />

vel TtKQcdlrfiovg dicuntur ar\-<br />

[ifa vel vQ-iat vel homines:<br />

yQcccpL Zrp. 4, 26; 6, 4;<br />

ygacpovGi 2%. 62, 25; yQCicpfraj<br />

2s 'En. I<br />

74, 11s.; 76, 11^84, 4; 100,<br />

11. Conf. CpKVQO$.<br />

8 IK c. gen.: yfy^aqp^co SIK TOV


H psyiGTOs xvxXog 'En. I 82,<br />

8; similiter 86, 2 s. cet.; (TO<br />

qfUXVXJLto?) gfovtffTat xca diet<br />

TOV d 2cp. 6, 25, ^uixvx^iov<br />

TO dta TCQI> A r B 8,<br />

22js.,<br />

ac similiter passim; 6V ail-<br />

Hov orjpEiov 2%. 22, 30, similiter<br />

22, 31 ; dia TOV KVTQOV<br />

2%. 46, 20; 6V avTOv TOV<br />

a^ovog 2fr. 26, 28 s., ac similiter<br />

passim; diet TGJV nolwv<br />

2(p. 4, 10; 14, 16. 22; 16, 6;<br />

2%. 14, 31 cet.; TO Sia T%<br />

AB xcu TOV F ininsSov 2cp.<br />

6, 22s., similiter 10s.<br />

4^, -<br />

punctum dicitur avctTsMsiv<br />

vel Svvsiv SLK a^asiov, velut<br />

TOV Z vel TOV B cet., Sep.<br />

42, 713; (01 dia<br />

xvxXoij<br />

TCOV z/ B GTjfisiW Tag avaTOas<br />

jroiovvTca cet. 2cp. 22,<br />

21s., similiter 22, 24s. cet.;<br />

item circulus dicitur a<br />

Vel 8VVLV dlCC<br />

ictg, velut rfjs ZH vel<br />

BF cet., Z


196<br />

9; 146, 1; 148, 7; 150, 13;<br />

154, 3; 156, 5; 158, 13; 2%.<br />

18, 19s. 23; 108, 24; 126,<br />

15; CCGTQK ru wara 8icc(iTQOv<br />

OVTK 'En. I 62, 16, item<br />

omisso ru 72, 9; 96, 3s.; TO<br />

HKTU SldflStQOV CCVTO) TO P<br />

I 62, 18; similiter 72, 11 s.;<br />

96, 5: 2%. 122, 24. 27; item<br />

omisso KVTW 'En. II 140, 14 s.;<br />

158, 18.<br />

8iKnoQSVG&ccL dicitur punctum<br />

(2q>. 10, 18. 22 s. 24;<br />

12, 1 s.) vel sol (reliquis locis)<br />

circumferentiam aliquam cir-<br />

culi, his formis: diccnoQevsTotL<br />

2y. 10, 23. 24; 12, 2; 'En.<br />

I 58, 14; 64, 8; 70, 7 cet.;<br />

2%. 56, 27. 30 cet.; 8iunoQvfirai<br />

'En. I 56, 14; 90, 13;<br />

100, 4. 15. 28; 102, 3 cet.;<br />

8ianoQEVG&m 2


dvvsiv (vel Svsa&ai) dicuntur<br />

14,<br />

puncta Zep. 12, 12. 21;<br />

6. 9. 12. 19. 26 cet., vel<br />

circulus 2


198<br />

Zq>. 42, 1; dvtina TK ngog<br />

TK> r 2ft. 152, 27.<br />

codEKK 'En. II 110, 4.<br />

adeKKTriiioQiov zodiaci<br />

'En. I 106, 18; II 110, 10; 2ft.<br />

106, 23 ; dcodsKKTrjfiOQiov nQi~<br />

ysQSta 'En. II 110, 8.<br />

adsKUTov zodiaci 2ft. 106,<br />

24, rfjg TOV<br />

106, 25.<br />

'EKV: vide si.<br />

SKVTOV 2%. 16, 26; S<br />

Zy. 2, 12; 4, 2; 6, 7. 11; 10,<br />

10; 12, 11. 19.<br />

syyi^siv: iyyioei 2ft. 78, 24.<br />

eyyvg c. gen. 2ft. 84, 22;<br />

syyvTSQco c. gen. 90, 27, idem<br />

sine casu 78, 28; gyyiov c.<br />

gen. Zy. 32, 20; rj syytov,<br />

scil. sv&sfa, 24, 13; eyyiGTct<br />

'En. I 72, 27; 74, 9. 19. 22;<br />

76, 1. 9. 18. 21; 2%. 114, 30.<br />

I yea: r\iLiv 2%. 126, 31; ^ag<br />

16, 31; 114, 27.<br />

f-df-hsiv: s&elys 2ft. 106, 25.<br />

si c. indie, praes. Zy. 10, 21;<br />

20, 3; 44, 17; 'En. I 74, 10;<br />

76, 10 (conf. p. XXXIX adnot.<br />

ad 74, 11. 12); 2ft. 16,<br />

25; aH' si SVVUTOV Zy. 8, 9;<br />

22, 23; 44, 29; si ds w<br />

disq^TKi cet. 'En. I 76, 13<br />

(in simili demonstratione 74,<br />

13 ens legitur). c. indie.<br />

fut. 2g>. 14, 5; 32, 2; Z%.<br />

22, 30. c. imperf.


20; 18, 2 cet.; 6'vTOg 'En. I<br />

52, 4. 22 cet.; 2%. 58, 20<br />

cet.; q*Tg 2cp. 6, 1; 22, 7.<br />

16; ovffa 27(p. 4, 19; 26, 13;<br />

OVGKV 'En. I 96, 18; JL22, 3;<br />

ovrog, sell. TOV ^ (aoTjJOu),<br />

'ETT. I 66, 10; OVTK: vide<br />

3iCC(lSTQOS', OVTCOV 'ETC. I 84,<br />

13; rjv 2ft. 126, 25; SGTKI 27g?.<br />

16, 23; 18, 6 (bis); 36, 4. 11.<br />

14; 40, 7. 9; 42, 29; 'En. I<br />

62, 19. 22; 66, 11. 13 (bis).<br />

14 cet.; 2%. 28, 19; 62, 29<br />

cet.; S'GSTKI (sic) 2ft. 22, 31;<br />

SGOVTUL<br />

2%. 82,<br />

2


200 VCtVTLOg<br />

ticulo ornisso 'En. I 64, 4, ac<br />

similiter aliis locis (conf. %QOvog);<br />

V , sell. XQOVCO, 2cp.<br />

2, 8; lv , quoad, dum, 'En.<br />

I 96, 20; 2ft. 146, 29. item fv OGCO 2ft. 56,<br />

30;<br />

27; 62,<br />

27; 86, 16;' 96, 28; 122, 21<br />

cet. ; v f][iiGi svLavTov I 64,<br />

9 cet. (conf. sviavros).<br />

svuvTLog: si? TK svccvrtu TOJ<br />

ZadLUKcp 'En. II 108, 4s.;<br />

eadem 'structura pro TWV gm-<br />

SLCOV restituenda esse videtur<br />

114, 4; xriv EVKVTLKV 2%.<br />

80, 31.<br />

'En. II 112, 1. 16.<br />

orp&ijvcu cpSQOpsvK 'En. I<br />

94, 9s. 18; similiter 16s.<br />

96, 14s.<br />

sviuvxog,<br />

TOV 'En. I 74, 17 s. ; ts'<br />

(JLSQtOV StVKL rOV SVIKVTOV V.CU<br />

TSTKQTOV Z%. 74, 27 s. (et conf.<br />

76, 2630); sviccvrov^ nagslftovrog<br />

2%. 119, 4; 81' SVLKV-<br />

-cov 'En. I 72, 26; 74, 8. 12.<br />

20. 22; II 114, 12. 17; 116,<br />

12^s.; 118, 12; 2ft. 114, 30;<br />

diet fjpfaovg sviavTov 'En. I<br />

60, 25; 62, 8; 64, 11 s.; 70,<br />

13. 26^s. ; 5 76, 1.^<br />

8s.<br />

13.^17.<br />

20s.; sv r^LLGSi EVIKVTOV 'En.<br />

I 64, 9; Z%. 64, 23; h rti<br />

fjpiGSi, rov SVLKVTOV 2%. 76,<br />

27; SLK nlsiovos %QOVOV r\^i-<br />

GOV$ SVIKVTOV 'En. 1 102, 10 s.<br />

22, item omisso %QOVOV 66, 6;<br />

68, 6, vel brevius^etiam $ia<br />

nlsLOVOs: vide dm; (%QOVOS)<br />

skacccov JipiGovg EVLKVTOV 'En.<br />

I 56, 21; 58, 14; 60, 2. 21;<br />

dt' eldrTovog (sive ihuGGovos}<br />

XQOVOV rj(iLGOvg iviavrov 'En.<br />

I 70, 10; 96, 23s.; 98, 9s.,<br />

item omisso %QOVOV 68, 8 s.,<br />

vel brevius etiam di' ilux-<br />

rovog: vide 8id\ iv S^KGGOVL<br />

XQOVCO TjfUaovs sviavTov 'En.<br />

I<br />

70, 8;<br />

7j(llGOVg<br />

(nsQicptQSia} pEigcov<br />

VLKVTOV %. 68, 31<br />

(conf. \Jur\v).<br />

VTUV&K 2%. 132, 28; 134,<br />

27 ',<br />

vxog nsvzK^vov 2%. 116,<br />

23.<br />

s| m8ia ' 'En. II 112, 2. 13.<br />

14; ?' ^(aSiav (nQicpQEici')<br />

2%. 114, 19.<br />

S^SiVKl'. %GTKL<br />

adnot. ad 40, 7.<br />

p. XXXIII<br />

VVKXI 'En. II<br />

l|r}g: TY) ^i]g<br />

116, 3; xr\v ^ijg VVKTK 2%.<br />

116, 21; KKI<br />

navru 128, 21;<br />

^rjg<br />

o^ioicog<br />

iv Tovtco rs<br />

KKI Tc5 t-ijg 134, 31 s.;' ?g<br />

TO f|rjg 134, 28 s.; iv TOig<br />

s^ijg 116, 26.<br />

inet 2(p. 8, 3; 24, 1; 26, 3;<br />

32, 26; 34, 20; 42, 7; 44, 19<br />

cet.; V.KI ini 2cp. 8, 14; 16,<br />

5; 36, 14; 46, 3; 'En. I 52,<br />

6. 24; 54, 12. 29 cet.; ind<br />

ovv 2(p. 30, 10; snsl yuq 34,<br />

17; 2%. 18, 17; ncchv InsC<br />

2%. 18, 25.<br />

tnsidij 2%. 18, 25; 20, 28;<br />

34, 30; 50, 24; 52, 29; 54,<br />

30; 56, 28; 58, 26. 35 cet,<br />

insidtfnsQ 2y. 4, 22; 'En. I<br />

64, 9; 78, 19; 80, 7.<br />

sniTct'En. II 138, 11; 158,<br />

1. Conf. tTK.<br />

nflVKi: n^LO)(JLV 2ft. 126,<br />

19 - 23 -<br />

: TKVQOg TOO<br />

2%. 128, 23;' similiter<br />

notivoL 128, 24; TO<br />

n6{isvov, scil. gcpStov, 'En.<br />

11110,5; TO & (KGTQOV) IGTIV<br />

n6[ivov 2%. 110, 32; TO


Sn6{lSVOV, SCll. OJGTOOV, 110,<br />

24; 126, 28; -AKXK ra, snoasva.<br />

i?fuxv'xlta 126, 28; Y.KTK<br />

ra snopsvu 126, 29. 30; sis<br />

ra, snopsvcc 181 ; (^wtfta) tffttv<br />

snofisva. 128,^ 22; snbpsva.<br />

sen ra. dnb dvGscov cet., sell.<br />

KGTQK, 152, 29; GvvSvosrai<br />

TO) M (a.GrQOp) r(OV SnOflSVCOV<br />

ti<br />

'En. II<br />

rep<br />

116, 17s.;<br />

TtOV SnO^SVCQV rivl TO) ZJ KGTQCp<br />

TO H GVVdvGSTKL II 124, 3 S.';<br />

similiter 128, 14 s.; 134, 21 s.;<br />

3. Conf.<br />

152, 17154, 1; 156,<br />

riystG&Ki et nQorjystG&cu.<br />

sno[isvr}v p. L LIII adnot.<br />

ad 138, 11; 144, 12; 152, 11.<br />

}<br />

sni nvog y^uftTJis cp, 2, 6;<br />

Snl SlCCllSrQOV t[lf][JlCC KV-<br />

'Alov OQ&OV Ecpsorriuev 20,<br />

1316 (reliquos locos vide<br />

sub rprjfjitt}', TO E orjfisiov snl<br />

rov K^ovog KGXIV 44, 15s.;<br />

similiter 44, 17 25 s.; 46, 2 s.;<br />

;<br />

OGK GTtV 871L TOV fJiT) tti-QVOS<br />

2, 14; 4, 4s. 26; 6, 3s. cet.;<br />

inl rijs eni(pKViKS rrjs G


202 ini&vyvvvai<br />

cendi genere occurrit ecog<br />

'En. I 88, 17 coll. 88, 6. 14.<br />

m,s vyvvvcti, iungere rectam<br />

lineam: pass, emfrvyvvpsvri<br />

2cp. 8, 15; snsgsvKTUi<br />

46, 7; tnst&vx&tD 46, 1; sns-<br />

20, 6; 24, 1; 26, 3.<br />

BTtL-<br />

TOV j\liov 2%. 80, 30. Conf.<br />

In ins 8 ov: Iv T. 28, 5 s.<br />

snirs'ksiv: pass. IniTshovvTai<br />

2%. 114, 30.<br />

sntTsM.8iv dicuntur astra,<br />

velut coa iiuteliJisi 'En. II<br />

150, 3, (TO E KOTQOV} SMOV<br />

Inixillti 150, 11, similiter<br />

2%. 128, 32; 134, 28 TOV<br />

21;<br />

cet.;<br />

P ETUTsHoVTOg 2%. 64,<br />

saepissime astrum dicitur<br />

OQUo&ca vel (pcclv6&ai<br />

eniTsttov: vide 'En. I 56, 18;<br />

58, 9. 11 (at vs. 13 dvctTel-<br />

;.oj>); Z%. 58, 32; 94, 21 (at<br />

eodem versu praecedit uva-<br />

TsUov, et sequitur idem vs.<br />

22); 136, 28s. eel; p. XLI<br />

XLVH adnot. ad 88, 17; 110,<br />

5; 120, .17; item astra i-ni-<br />

TsUovTK 'En. II 146, 25; 158,<br />

3; similiter dcodev.ciTrjfioQLov<br />

TOV ZcpSiCfHov vel cpdiov snt-<br />

'En. II 106, 19. 21;<br />

110, 5. Conf. av<br />

in ITSHo IJLSVOV eodem sensu<br />

semel occurrit 'En. II 120,<br />

17 (conf. adnot. ad h. 1.<br />

VII}.<br />

jP . XL<br />

sniToArj dtyfi'ivri, cpctivo[isvr],<br />

sansQia, , SG^CCTT]: vide<br />

haec adiectiva et cpaivsa&cii,<br />

et conf. KVUTolri; iniTolr\v<br />

vel sniToAas noistG&ui: vide<br />

noietv med. ; EniTohuC TS v.u.1<br />

dvceig 'En. I 48, 5; nsgl sni-<br />

TO^COV xat dvascov: vide Av-<br />

TOkvKO$. - nl TTjS TOV V.Vvbg<br />

sniTO^g S%. 48, 21; del<br />

TOVTO i'GTKl SVTOg nSVTKflTJ-<br />

VOV, TOVTSGTl TJJS GGnSQlCtg<br />

^niTolrjg 2%. 116, 23 s.<br />

inicpcivsitt sphaerae 2cp. 2,<br />

^13 ;> 4, 3 snTa: TO.<br />

8. 24. 25; 6, 3 cet.<br />

;<br />

^ki^axa %. 114, 28.<br />

8Q(JL7jVSV IV. r^Q^rjV8V6S %.<br />

119, 6.<br />

SQXSG&KI, dicitur semicirculus<br />

per punctum aliquod Zcp.<br />

6, 25; 8, 1. 22, scilicet pz*'-<br />

G&CO 8, 1. 22 (et conf. p. XXV<br />

adnot. ad 8, 10), &SVGSTCCI,<br />

6, 25. 6 7]lLog Q%TKI in'<br />

KVTO (TO &GTQOV} 2%. 86, 16;<br />

similiter I'/Mhy 86, 18; 119, 4;<br />

^154,^ 27; senega:<br />

el&av 116, 25.<br />

scpocvr] Svvov<br />

^<br />

TO E<br />

scnsQctg 2%. 150, 28; similiter<br />

150, 29. 32 (multo usita-<br />

tius hoc sensu est<br />

'En. I 48, 11, sive sniToKri 50,<br />

1. 8 cet.; 2%. 116, 23 s.; 120,<br />

28 cet.; sGnsQici cpKivopsvrj<br />

ri 'En. I 56, 19 cet.;<br />

similiter 2%. 80 ;<br />

33 s.; 82, 23;<br />

sGnsQia. dvcig 'En. I 48, 13;<br />

50, 3. 8 cet.; 2%. 120, 26s.;<br />

122, 23 cet.; rj E


GnQiav dvGiv (noi-<br />

En. II 110, 12; similiter<br />

110,20s.; (gcpdiov) sons-<br />

QIOV dvvov I 110, 6; (KGTQOV)<br />

GnQlOV STtlTSMoV 2%. 94, 21.<br />

icnsQia iniTolij vel dvoig,<br />

Vel SGnfQIKI iniTOlai T V.O.I<br />

dvGis omissarvide fU^ohvog.<br />

GnQioi pro GnQiKi in<br />

libris ms. traditum p. XXXVI,<br />

XXXIX, XL VIII adnot, ad<br />

50, 8; 72, 7; 128, 9; item<br />

GnQlOV pro GnQlKV p. LI<br />

ad 144, 13; 146, 19.<br />

SG%KTO$: TOV zl KGTQOV TJ<br />

iq 'En. I 58, 6 s.; ^ cpai-<br />

G XKTrj sonsqia, dvcis<br />

60, 13s.; rj sansQia sntTolrj<br />

serai rj cpaivopsvi] TOV H sons-<br />

Qia Kvaro^ri G%ocrr] 2%. 88,<br />

24 (conf. p. 172 adn. 3);<br />

ecnsQia G%dzri iniToZr} 2%.<br />

82, 23; 7] G%Krri sGnsgia cpd-<br />

GI$ 'En. I 78, 12. 20 (reliquos<br />

locos vide sub rpdcig).<br />

G%KT(og 'En. I 50, 2. 4; 54,<br />

10. 27; 78, 6; 82, 13; 84,<br />

19; 2%. 78, 23; 80,<br />

22. 26.<br />

29; 86, 19.<br />

TSQOS 2


204<br />

rr}v AHA Sep. 30, 22 s. ; similiter<br />

38, 7 s. 16 s.; TO psv HE nl<br />

rrjv avttToKr\v,<br />

TO ds A inl<br />

Tr t v SvGiv 'En. I 86, 7 s.<br />

bpeijs Z%. 154, 27.<br />

tyiGTuv, animum advertere<br />

ad rem, attente considerare:<br />

fcg scpiGTWGL 2%. 26, 25.<br />

: perf. intrans. scps-<br />

2cp. 20, 5; 24,8; scpec?TcoTOg<br />

20, 17; 24, 8.<br />

%IV: (x-UX^OVg) tOV$ CCVTOVg<br />

jrcUovg %OVTKS TJI GtpaiQa cet.<br />

2


6 Z&dlKKOS 2%.<br />

142, 27, GO? xsfrca 6 . 130,<br />

25; 136, 32.<br />

caiov nsQi-<br />

H 108, 6B. 112, 5;<br />

122, 3. 9 a. cet. ; 2%. 140, 29 s. ;<br />

sirniliter svdsnK, ?|, nsvrs<br />

'En. II 112, 1 s. cet.; ^if<br />

(sell. nsQitpEQL


206<br />

TOV .. , .<br />

TI]V n8QicpQiotv 1 52, 2, ac<br />

similiter passim. Conf. praeterea<br />

de motu solis acpiMsi-<br />

G&CCL,<br />

pass.,<br />

Ttgo'Csvai,<br />

pass., cp&avsw. 6 SVLCCVTOS<br />

yiyvsrcci, TOJ ri^Cco l| olcov<br />

TCSQLCpOQCOV Y.al TSTUQTOV 'En.<br />

1 74, 17 s. Conf. iviavTog.<br />

(tt>SlOv) V (p 8GTIV 6 fylOg<br />

'En. II 110, '4s.; praeterea<br />

de variis positionibus solis<br />

conf. dn8% iv, yi<br />

TOV PE vita TOV ri'ktov 'En.<br />

II 112, 15 (conf. VLKX^LV et<br />

imytKTK^Kfl^KVSiv}^ COGTS TO<br />

d UGTQOV SKCpSVySlV TK$ TOV<br />

riliov Kvycis 'En. I 52, 2 s.,<br />

ac similiter passim: conf. uvyri<br />

et sncpsvysLv. 6 TOV fjliov<br />

xvnlog, id est curriculum solis<br />

sive zodiacus, 'En. I 50, 11;<br />

56, 22 s.; 62, 1 s.; 70, 16 s.;<br />

74, 1 s.; 76, 3 s.; 78, 1 s.;<br />

82 2; 98, 4 s.; 102, 16 s.<br />

'En. II 118, 2 s. (conf. %QOVOS);<br />

riiLsqctg, interdiu, I 96, 7. 11<br />

(bis); ftera Tivct$ fjpsQas I 50,<br />

22 52, 18, similiter<br />

s.^ 2^. 84,<br />

s<br />

23 ; (CCGTQK) ucpKviG&svTa fjps-<br />

QKS TWU$ V.CLI vvKTug 'En. I<br />

76, 24 s., vel ntei'ovug rifiBQccg<br />

KcpttVLG&evTa I 80, 17; similiter<br />

82, 6 S.; 84,^ 10; Si'<br />

7][ISypiGovg<br />

'En. II 108,<br />

13 s.; 116, 6s. 19s.; 118, 5s.<br />

cet.; S%. 128, 29; 140, 20 cet.;<br />

7\ N@ rifiiGovg SGT\ &diov<br />

'En. II 116, 6; similiter 142,<br />

20; 2%. 114, 18; 138, 21 cet.;


oYov f] N 'En. II<br />

116, 1 (conf. p. XL VI ad h. 1.);<br />

rjfiicv (pSiov an%siv II 108,<br />

12 s.; 2%. 150, 25, item elar-<br />

TOV fjpiGovs o>oYou 'En. II<br />

134, 3s. (conf. un%iv'); uva<br />

7][iiGv ^(pStov 'En. I 92, 12;<br />

vnQ TJfiiGv cooYov 2%. 110,<br />

33, item addito neQicpQiccg<br />

'En. II 110, 13 s.;<br />

G(f>v] rjfiiGOvg gcodiov 'En. II<br />

134, 24; 136, 23; 138, 6. 9s.<br />

cet,; 2%. 92, 20; 138, 20 s.;<br />

154, 24 s. conf. iisycts et<br />

filKQOg}; CCVU. TEGGKQCOV JJ/*^~<br />

GOVS Icpdiojv 'En. I 94, 1 ; ccva<br />

dvo rjfjitGv oodYcov I 94, 2.<br />

gen. rj[iiGo$ p. XL adnot. ad<br />

76, 17 et 20; 2%. 138,21; fern.<br />

rjULGSia 2(p. [24, 10].<br />

r\u,i6cpcciQiov: TO cccpccvsg vel<br />

TO cpavsQov rjfitocp.: vide dcpavr\q<br />

et (puvsQOS', ev TW vnsg<br />

yr\v vel vno yr\v , scil. ^/ttt-<br />

GcpKiQico: vide 777.<br />

ijtfe Z^. 32, 21; 34, 23. 24;<br />

'En. I 52, 7. 25; 54, 13; 56,<br />

\. 10 cet.; -2fc.j34, 24.<br />

/f r| ov 2cp. 6, 25.<br />

ff Tripolita praef.<br />

P. XI S.; @OdOGLOV GCpKLQLKU<br />

Z%. 4, 28; p. LV adnot. ad<br />

4, 30; eadem brevius cqpca-<br />

QIY.O. citantur 27g. -4, 30; 6,<br />

26; 8, 27. 28; 10, 25; 16, 30;<br />

18, 16; 20, 27. 31. 32; 24, 21.<br />

'24; 26, 27; 30, 25. 26; 34,<br />

28; 36, 17; 38, 19. 22; 46,<br />

19. 20; ad sphaericorum<br />

librum I pertinere videtur<br />

porisma a scholiasta p. 18,<br />

21 s. citatum, unde ille effici<br />

dicit polos sphaerae iuxta<br />

diametrum oppositos esse.<br />

8v TW nsgl oiyn]Gcov<br />

207<br />

'En. I<br />

92, 13.<br />

SGIS: (TO ^tujtvxZtoj') f^fTco<br />

&SGIV cog xr\v AEZB 2!


208<br />

vel dtu rov $' 6, 26; similiter<br />

2%. 6, 27; 8, 27. 28 cet.;<br />

nQofiaivEt TO ^stogrj^a 2%.<br />

128, 31.<br />

"Idiog: SKarsaov (rcov GTJIIEICOV)<br />

rrjv tdiav nsQicpsgsiav dianOQVSrai<br />

2%. 62, 27.<br />

I'v a c. coni. 'En. I 86, 1; 2%.<br />

58, 20; 72, 29; 154, 24.<br />

tG7](lQia 2%. 14, 31.<br />

IcrjpSQivos, scil. xux^og, 'Err.<br />

II 112, 22; 114, 14; Z%. 12,<br />

24; 114, 26.<br />

i'cog: i'ca re Kal opoia fieyE&r}<br />

2ff. 2, 5; i'crj sarlv 77 AIL<br />

nsQicpSQSia rrj @Z nsQicpSQeta<br />

2cp. 10, 4 s. , vel brevius IGJ\<br />

sarlv 7) AH rrj 47, 12, 3, ac<br />

similiter posthac; item in<br />

libris nsQl snirohaiv , velut I<br />

64, 57; 68, 1 cet. Conf.<br />

^<br />

KSLO&ai. V LGCO %QOV


fj<br />

'<br />

1<br />

xaO<br />

TJ fiag onoffft? 2%. 16,<br />

31; item olKOtrpmg 114, 27;<br />

'<br />

xaO1<br />

8-ndcrriv vvv.ru 2%. 116,<br />

27; xTa TO; Qrfosvra 2%. 116,<br />

30 s.; xara ra ctvrd 'En. I 72,<br />

21; *&' a 2ft. 22, 28 (conf.<br />

xa-9"a et xa


210<br />

conf. nag'-, ^ v ^OG^KO 'En. I<br />

50, 10; 56, 22; 60, 3; 62, 1<br />

cet.; rra xdffju-w not. ad 108, 5;<br />

p. XLIV ad-<br />

cosmicus ortus<br />

et occasus 2%6Hia 1 et 2<br />

p. 164s.<br />

xptog, signum zodiaci, Z%.<br />

106, 24; 128, 20. 23 (bis). 26.<br />

xovptfrjv p. XLIV adnot. ad<br />

106, 20.<br />

KQVtyig astrorum : vide<br />

avctncdiv %OVGIV ai<br />

2%. 134, 31.<br />

A v x 1 1 x K , liber tertius elemen-<br />

torum, 2%. 32, 28; p. 33 adnot.<br />

1.<br />

KVKlog Sep. 4, 12. 17. 22 cet.<br />

(conf. yoaqpfiv). (xvx^ot)<br />

OQ&Ol nQOg TOV K^OVK 2fp. 2,<br />

16; 4, 26 8.;^ 6, 5 a.; ot TOO<br />

a^OVt TT^Og O^thiff OVTS XVx^ot<br />

27qp. 22, 7. 15 s.; (xvxXog)<br />

^.o|6g wv Ttgog TOV a^ovcc:<br />

vide hoc adiect. ;<br />

xvxAot Trapdnrjloi<br />

Zcp. 2, 14s.; 4, 5;<br />

6, 2. 4 cet. (conf.<br />

xvxZot t'aot TS xa<br />

aU^Xotg ^(p. 16, 21 s.; 18, 4;<br />

similiter 18, 13 s. cet.; Trag<br />

. 34, 30;<br />

^03V TO T CpUVEQOV TTJ$ GCpCtl-<br />

QKS xal TO aqparf'?: vide bgi-<br />

&iv et oot^oov; ot TV aurrav<br />

icpKnt6[ivoi. KVY.IOI, cbv xca<br />

6 OQifav uTtTsrcci Z


124, 25;<br />

adnot. ad 56, 5; xaTct<br />

&VTU 2%. 116, 30 8.<br />

lr\pu.cLta. sis *&<br />

p. XI adnot. 11.<br />

roc<br />

QT^-<br />

JLo'yog: TOV KVTOV sj-si Aoyov<br />

O TS XQOVOS nqbg TOV %QOVOV<br />

cet. 2


212<br />

immobile, et, a plus forte<br />

raison, il n'y a pas un seul<br />

cercle qui soit immobile un<br />

seul instant;, si ce n'est 1'ho-<br />

rizon, parce que sa position<br />

ne depend pas de celle du<br />

ciel toujours tournant, mais<br />

de celle de la terre toujours<br />

en repos suivant Autolycus,<br />

qui admet que Fhorizon immobile<br />

comrne la terre, mais<br />

different suivant les contrees,<br />

est irnmuable pour chacune<br />

d'elles. Cependant ce n'est<br />

pas seulement a 1'horizon,<br />

plus ou moins incline par<br />

rapport a 1'equateur dans la<br />

sphere oblique (prop. 6), ou<br />

comcidant avec 1'equateur<br />

dans la sphere parallele (prop.<br />

4), ou perpendiculaire a 1'equateur<br />

dans la sphere droite(prop.<br />

5), c'est aussi a 1'equateur<br />

lui-menrie et a tous ses paralleles<br />

dans toute position<br />

de la sphere (prop. 12), et<br />

par consequent c'est a des<br />

cercles tournant chaque jour<br />

avec toute la sphere, d'orient<br />

en Occident, qu' Autolycus<br />

donne ainsi I'epithete iisvcov,<br />

mot qui habituellement, chez<br />

les mathematiciens grecs, si-<br />

gnifie, en repos, comme les<br />

mots KLVOVHSVOS OU CpfQO^lfvo$<br />

signifient en mouvement.<br />

Mais il faut savoir que, chez<br />

les astronomes grecs, le verbe<br />

(izvsiv a souvent un sens special,<br />

pour designer 1'absence<br />

de tout mouvement propre,<br />

c'est- a-dire distinct de celui<br />

du ciel entier. C'est ainsi<br />

qu'apres avoir dit, que les<br />

etoiles fixes sont emportees<br />

dans cette revolution diurne<br />

du ciel, Platon (Timee, p. 40 B)<br />

ajoute qu'elles sont toujours<br />

en repos, cm (itvsi, parce<br />

qu'elles ne se deplacent pas<br />

dans le ciel, comme les planetes.<br />

Ainsi Autolycus pouvait<br />

appeler p,vortsg des cer-<br />

cles, tel que 1'equateur et ses<br />

paralleles , emportes , mais<br />

sans aucun mouvement propre,<br />

dans la revolution quotidienne<br />

du ciel autour de la terre,<br />

d'orient en Occident; tandis<br />

que, suivant Autolycus comme<br />

suivant Eudoxe, Callippe et<br />

Aristote, d'autres cercles dits<br />

mobiles (pSQo^evot, (prop. 12),<br />

tels que ceux du soleil, de<br />

la lune et des cinq planetes,<br />

tout en pavtageant le mouvement<br />

diurne du ciel, ont, de<br />

plus, des mouvements plus<br />

ou moins lents et obliquemeut<br />

contraires a celui du<br />

ciel, mouvements propres par<br />

lesquels ils font retrograder<br />

d'occident en orient, par rapport<br />

aux e'toiles sept<br />

fixes, ces<br />

astres, dont chacun est<br />

attache en un point de son<br />

orbite tournante'.<br />

: CtGV^TtTCOTOV S6TIV TO<br />

ana rov J r^i-Avviliov cog iitl<br />

TK r Z E {isgri T(p uitb rov<br />

A fj(JilKVKl.lCp COg 7tl tK H E A<br />

cp. 30, 8 10; 6 rfiios<br />

(Og 7tl Ttt F E A<br />

'En. I 78, 2 s. ; similiter<br />

86, 57; 2%.<br />

82, 10s. 19s.; 4<br />

82, 28; 7tl roc itQog a.QY.rov<br />

?J<br />

l-Ttl TCi TtQOS (AfGTJupQlKV<br />

II 112, 18 S. ; Ttl XCi 7CQOS<br />

e 7 ? II 13^ 2; sl$<br />

TCC TtQorjyovfieva (iSQrj 2%. 122,<br />

34 KvaToUxa ;<br />

[iQr] Zqp. 40, 29 ;<br />

50, 12, item SVTIKU. 42, 1 ; 50, 12.


'En. I 60, 26; 62, 6; 66, 4;<br />

70, 24 cet.; 2%. 112, 28.<br />

TU ngog peffqpjfyla? : vide 6,<br />

T}, TO.<br />

fGrtufJQivog, scil.<br />

'Erc. II 132,<br />

: xcrra<br />

8.^20.<br />

f'ar/? avxr^<br />

'En. II 110, 9,<br />

6r}v ccvTijv 112, 5s.;<br />

tv [TCO] ^


214 livrjuovsvstv 'O, 17, TO<br />

pommtur); 2%. 70, 29; 124,<br />

26. 27 cet.; sluTTOvog .96<br />

28 (et conf. fviavTog);<br />

TOVL 2%. 96, 30;<br />

'En. II 134, 12.<br />

r] oftot'a: vide ofioiog.<br />

a'Aarrov ctn%ov<br />

2%. 126, 28, et vide cini<br />

sub forma dnsxy.<br />

2y. 20, 23; 24, 11.<br />

[ivrj(iovv iv c. gen.:<br />

fiovsvGv 2%. 114, -24.<br />

lionet, gradus, 2%. 78, 25;<br />

80, 29; 84, 29; 86, 18; 92,<br />

21 cet. Similiter (IOQLOV 2%.<br />

92, 21.<br />

judvor 2%. 76, 26; 106, 24;<br />

ou fiovov aHa xca 2%. 132,<br />

27 s.<br />

juovog 'En. I 58, 11; 60, 18;<br />

2%. 108, 25. 29. 32; 119,<br />

3 cet.<br />

pOQiov n 'En. I 74, 13; (00-<br />

St6v)


122, 11s.; 128, 6. 12s.; 132,<br />

4s.; 144, 9; 146, 23; 148, 2.<br />

27; 150, 7; TO. 7fQO$ fiajjftfaiav<br />

II 122, 14 (aliter siinili<br />

loco 128, 8, et conf. 130, 10);<br />

138, 8; 140, 27; 154, 18; 156,<br />

26. - - articulus praedicato<br />

appositus in his forrnulis: TO<br />

AEP ruLMvv.'kiov SOTKI TO<br />

0NK 'En. I 66, 12 s., vel rj<br />

AE neQicpSQSta sGXKi 17 &N<br />

66, 14, ac similiter aliis locis.<br />

articulus cum infin. : TOO<br />

Peflrjv.evcct, ^ 2%. 34, 30 ss.; Sict<br />

TO et /n/fTo: TO cet.: vide dice<br />

sub finem et ILSTK. 6 nds<br />

xvxXog 2%. 76, 29; 6 avTo'g:<br />

vide a-vTo'g. articulus cum<br />

sententia relativa: TO nQor}yov^svov<br />

TOV sv a SGTLV 6<br />

rfiio? 'En. II 110, 4 8.; TO<br />

ngb TOV v q> SGTIV 6 rfiio$<br />

2%. 119, 2 s.' 6 [iev 6<br />

Ss 2y. 12, 13 s.; 14, 12 s.;<br />

16, 22 s.; 18, 5 s.; 'En. I<br />

48, 6.<br />

odf: snl Tovde TOV ftecoQtjficnroff<br />

2%. 26, 15s.; sv ToodX<br />

scil. TOO Q~toQrm,KTi, 2%. 134,<br />

30; ToSs rovds ^yftrat 2%.<br />

126, 19 s.; rode Ttods insTUL<br />

2%. 126, 24.<br />

o&sv 2


forme, 6|&aZd, parcourfc en<br />

temps egaux des grandeurs<br />

non - seulement<br />

, epales faa,<br />

mais semblables, bfioia. Que<br />

signifie cette seconde expression?<br />

La similitude existe<br />

pour toutes les parties egales<br />

de lignes droites quelconques<br />

et pour tous les arcs eganx<br />

de circonferences de cercles<br />

de meme rayon. Mais, d'apres<br />

la definition d'Autolycus, sur<br />

des circonferences de cercles<br />

de rayons differents, ou sur<br />

des arcs differents d'une meme<br />

ellipse, d'une meme parabole<br />

ou d'une meme hyperbole,<br />

le mouvement ne serait pas<br />

uniforme, lors meme que les<br />

grandeurs lineaires pareourues<br />

en temps egaux seraient<br />

egales; car ces grandeurs ne<br />

seraienfc pas semblables entre<br />

elles, a cause des differences<br />

de courbure. D'un autre cote,<br />

suivant Autolycus (Prop. 2),<br />

dans la sphere tournant uniformement<br />

sur son axe immobile,<br />

tous les points des<br />

cercles perpendiculaires sur<br />

Taxe decrivent en un meme<br />

temps des arcs semblables,<br />

c'est-a-dire qui spnt chacun<br />

une meme partie aliquote<br />

des differentes circonferences;<br />

mais ces arcs ne sont<br />

pas egaux, puisque ces circonferences<br />

eatre elles.<br />

et comment<br />

sont inegales<br />

Voila pourquoi<br />

dans les grandeurs<br />

lineaires parcourues,<br />

quand elles ne sont pas rectilignes,<br />

Yegalite<br />

Autolycus distingue<br />

1<br />

de la similitude .<br />

T/Jff<br />

EH<br />

OQKV<br />

bpOLa 2cp. 34, 1 s. 17 s.; "koinj\<br />

7) Z&F hoinrjs Trjs HKE siuG-<br />

GCOV GT\v r) b{ioict 34, 18s.;<br />

J<br />

?siav skdoGovcc slvat P)<br />

Trjs do&etGrjs nsQtcps-<br />

'En. I 96, 18 s. Conf.<br />

indicem in Pappum sub<br />

opoiog.<br />

6 po IMS 'En. I 72, 28; Z%. 80,<br />

20; 128, 21 cet.; (xvx^oi)<br />

OUOLCOg K%li[LVOl nQO? TOV<br />

OQIOVTCC Zcp. 22, 10; 26, 1;<br />

similiter 28, 13; o^otoog TOO<br />

avco dsi^YiGSTKi 2%. 24, 23;<br />

TOO ngb UVTOV 70, 30 s.<br />

in j\ continuatione<br />

demonstrationis 2cp. 4, 24;<br />

8, 19; 12, 5; 14, 9; 16, 13;<br />

22, 2; 24, 17; 42, 21; 46,<br />

14 s.; 'En. I 76, 19; 80, 1.<br />

11; 2%. 26, 17; 32; simi-<br />

^58,<br />

liter ofioins $8 'En. I 74, 23;<br />

II 106, 20 cet.; o^otoog xca<br />

2%. 134, 28.<br />

o^dfff Zy. 32, 19. 23; 34, 15<br />

(conf. Kficc 32, 9. 10).<br />

6ju,ov dicuntur astra dvvsiv<br />

vel dvuTsUsiv 'En. I 82, 18;<br />

84, 3 s. (quo ex loco apparet<br />

bfjiov de tempore similiter<br />

atque ccpcc poni) ; 96,<br />

9. 13.<br />

b[iov YMI 2%. 4, 28.<br />

d^vg: O^SLCC ycovLct Z%. 26, 30.<br />

^35; 28, 33.<br />

17^.<br />

oxia&ev SGTL TOV Z (UGXQOV)<br />

^TO H Z%. 84, 21 s.<br />

onov 2%. 116, 28; onov av<br />

] 6 IJUOS Zl- 150, 30.<br />

f<br />

OQKV: pass., idque plerumque<br />

cum participio positum: 69^rcti<br />

'En. 1 56, 18; 58, 17; 60,<br />

1; 80, 7 33 et<br />

cet.; Z%. 108, 25<br />

110, 24 26 passim;<br />

122, 20 cet.; OQW^ISVOV 2%.<br />

110, 23; otp&rjvcci 'En. I 94,<br />

10. 18; 2%. 48, 20; 50, 23;


ocp&ev 2^.48,20; 6cpfi"i]6 rat.<br />

En. I 94, 7. 16; 96, 8. 12;<br />

Z%. 94, 20. 22; 140, 31; 6oa-<br />

^tJGSTUL "En. I 78, 19; 90, 3.<br />

19; 92, 9; 134, 11; 158, 3;<br />

90, 23. 24. Conf. praef.<br />

,<br />

,<br />

6 Q & 6 : $ OQ&rj, perpendicularis,<br />

dicitur esse recta ad rectam<br />

Zcp. 26, 10-12. 13 s., vel<br />

recta ad circulurn 26, 810;<br />

46, 8 s., vel OQ&OS circulus ad<br />

circulum 20, 10 s. ; 24, 5 s. ; 26,<br />

5-8; 36, 4 cet., vel circulus<br />

ad axem sphaerae 2, 16; 4, 7;<br />

6, 5 s., vel OQ&OV segmentum<br />

circuli ad diametrum 20, 13<br />

16; 24, 7 s., vel OQ&OS circulus<br />

ad horizontem 36, 4. 11 ; 40, 7.<br />

9. (yavicti) dvciv OQ&UIS<br />

IGOCI Z%. 28, 32 s.<br />

diKfisvovGct Ty AB<br />

(sv&f-ia]<br />

sv&sicc<br />

nQOs oQ&ds Zcp. 4, 16s.; rj<br />

rd nQOs OQ&KS ovGa TOO AB<br />

ut-ovi 4, 19s.; similiter 4,<br />

20s. 26 s.; 12, 8s. 15 s.; 14,<br />

3 s. cet.; TTQOg OQ&ag TTJ nowy<br />

TOfjL^ Z%. 26, 30 s. 33.' 34.<br />

OQ&ij<br />

!9.<br />

GcpatQct 2%. 14, 30; 26,<br />

t<br />

Qt^SLv: (sav sv oyaiQK nvxZog)<br />

OQii) TO TS dcpavfs nat<br />

TO cpavsQov riiLiGfpaiQLQV rtjg<br />

G


218 outre<br />

20 cet.; eo Zy. 2, 8; 'En. I<br />

56, 20; 60, 1 cet; a>v Zy. 6,<br />

10; 10, 12. 17; 40, 14. 16.<br />

28; 42, 5 cet.; f t g Zy. 2, 17;<br />

10, 14; y 28, 1. 3; %v 28, 9.<br />

11; 40, 6; 'En. II 120, 10; as<br />

Zy. 10, 11; o Z^. 16, 31; 74,<br />

28; sv co: vide v; tta-fr' a<br />

2ty. 22, 28; aW 'JEw. I 66, 3;<br />

94, 2 cet.; otg I 96, 22;<br />

^102, 9.<br />

6'ffog: lv oG(o %govto Zy. 10,<br />

6s.; BV caw, quoad, dum:<br />

Vide V; OGD3 - TOtfOVTCO 2%.<br />

152, 21; Grjfisfa, oca. Zy. 2,<br />

4. 14; 4, 4<br />

% 25s.; 6, 3; (


ovtog: rovrov rov %QOVOV et<br />

aJUov ds rovrw i'cov %QOVOV:<br />

vide %QOVOS; rovrov (scil. roov<br />

KVKltov) 2q>. 16, 22; 18, 5;<br />

ccvrui 2cp. 10, 13; TOVTO Zap.<br />

20, 21 cet.; '. I 64, 14; 90,<br />

17; II 116, 9; 118, 11; 120,<br />

19; 134, 24 cet.; 2%. 50,^27;<br />

xetvTK 2%. 56, 30 ; rovroig 'En.<br />

II 148, 27; 154, 18, ac passim<br />

hae aliaeve formae.<br />

TOVZOV rov fiifiliov 2%. 6, 27;<br />

34, 29, item rovrov 2%. 14,<br />

27; 38, 20.^21; 42, 30; dice<br />

rov ngo rovrov, scil. ftscogr}fiaTOff,<br />

2%. 10, 31; sirniliter<br />

TOVTGO sxQriGKiis&a 'En. I 92,<br />

12; sv TGO nQO rovrov sdsi-<br />

%&ri 2%. 24, 25.<br />

ov%t 2%. 90, 23; rov (irj ov%i<br />

c. infin. 'En. 1 74, 14s.; 76,<br />

^15.<br />

ocpeikeiv: (acpsdev q>avi]VKi<br />

2%. 80, 21; TO oqpftAov aargov<br />

civurtt.Ki Z%. 66, 27 (et conf.<br />

p. 168).<br />

Tluliv Zy. 4, 14 cet.; Z%. 18,<br />

22; 80, 26. 31; 88, 25 cet;<br />

ncttiv tfr? 2


220<br />

aHr^ov jwfr' ou cpQTai b<br />

7]7iiog 'En. I 96, 19 s. ; eitfafda<br />

ci Zcp. 28, 5.<br />

ncxQ ivKi, similiter -<br />

atque not<br />

QccyiyvG&ai, dicuntur puncta<br />

vel astra in aliquem locum:<br />

(TO Gripsiov} sni TO E nctgf-<br />

GTKiZy. 38, 5 16; similiter 40,<br />

5; (ttGTQu} dno rrj$ (p-<br />

Qrj^KTL TOV nagovTog 0if3>U'ov<br />

Z%. 26, 25 s.<br />

nC(QQ%G&Ki: SVLKVTOV 71CCQ-<br />

: TO aTOTrov na-<br />

Q


'En. 1 68, 3 s. ; 17 SKO<br />

GCOV SGrlv I<br />

77fUXUX*fc'oU 70,<br />

s. cet.; povrjv rr]v EH I 58,<br />

lls.; Tag ofioiag 2%. 82, 30 s. ;<br />

rccg psigovg rjfiLGovg gadiov<br />

Zl. 92, 20 (et conf. 92, 23);<br />

Z'GTLV r\ K nevre (irjvwv 'En.<br />

II 136, 16 s. cet. Conf. xoird?<br />

tt . 20,<br />

17s.; 24, 9; V.KXK nacKV rrjv<br />

rov OQLOVTO nfQicpSQfiav rrjv<br />

ILzrct^v cet. Zy.^Q, 14 s.; 42,<br />

23s.; rr t v PH vneg yf^v av-<br />

TOV (rOV Y.VV.lov} OVGCtV TtEQltpegsiKv<br />

tluGGova BWKI cet.<br />

'En. I 96, 17s.; rj Ed TIBQL-<br />

CpSQSlK TOV gcpdlKHOV 1 96,<br />

20 s.; dcodsKCcrrjiLOQiov, ^aydtov<br />

vel cpC(QV TtSQicpegzicc: vide<br />

haec vocabula et conf. rjpiGvg.<br />

- r\<br />

E/J 7tQl(pQttt OVT8 KVK-<br />

TfMovGK OVTS SvVOVGK OQCt-<br />

TKI 'En. II 108, 7 s., ac simi-<br />

w avKTolriv vel<br />

SVGLV noisiTKi, vel<br />

liter passim (conf. haec verba) ;<br />

'vrj: vide fcoog, scnf-<br />

QIO$, noifiv med. SGTLV r\<br />

&K nivrs firjvoov 'En. II 136,<br />

16 s.; (nsQKpSQSux) [IZL&COV<br />

fiptGovs SVLKVTOV 2%. 68, 31.<br />

Conf. (irjv.<br />

tQstv: pass, nsgifvs-<br />

TO r,fuxu'x/Uov Sep. 4, 13;<br />

122, 17; similiter 122, 29s. cet.<br />

sQicpOQu: ev ry ntQicpOQa<br />

rfis ocpaiQus 2cp. 8, Is.; 16,<br />

3 s ; 20, 3 s.; 22, 1; 30, 20;<br />

sv it<br />

221<br />

36, 3s. 10; 40, 8; iv tr\<br />

cpOQK (scil. rfi$ ocpaiQKs) 14,<br />

24s.; xara ncccccv nsQicpogav<br />

rfjs Gcpaigag 44, 14 s. rj rov<br />

nuvrog nQi(pOQK 2%. 106,25;<br />

dice dsKansvre nsQtcpoQtov 'En.<br />

I 74, 16; sv r|f' nsgicpOQaig<br />

Z%. 76, 26. 28s.; ro tfpiGv<br />

TO>V re' E%. 76, ^30s.; ev<br />

oJiKig nsQicpOQKLg 'En. I 74,<br />

10s.; s olwv nsQiyogcov K. 6, 23s.; similiter<br />

4, 11 P.<br />

(6 rj^toc) rrjv smctv<br />

dvGiv noisi TOO /7 CCGTQCO 'En.<br />

II 122, 3s.;' similiter rr^v<br />

sGnsQictv dvGiv II 122, 5 s.,<br />

rr]v scpKV KVKrolr\v II 122,<br />

8 s. cet., rrjv swav qpatvojitsvr<br />

( v sniTolrjv 2%. 58, 27^8.<br />

30; (6 xvx^oe) rr t v ccvctroli t v<br />

noirjGei Z%. 22, 30 s. (ubi<br />

noir)GTca requirit usns^dicendi).<br />

med. V.KV rrjv ctno-<br />

GrccGiv rov TjMov rrjv fisra^v<br />

rrg NK noirjGcofji^&a 2%. 70,


222 notog nohvg<br />

27 s.; (nsQicpSQELK^Trfv vnsQ<br />

yrjv cpoQcxv cpavsgccv noiov-<br />

VEvri 'En. II 108, 9; ? 110, 3.<br />

(xvxJtofc) tag ts dvaroXag<br />

xtu rag dvctig noiovvrcti Zcp.<br />

22,9.20s.; 24,20; similiter 22,<br />

22, item (xvx^og) noisiTca 42,<br />

24 s.; noLiG&(a 6 ^4B xvxilps<br />

oV a'Hov TWOS Grjusiov tv\v<br />

v 22, 23 s., item TTJV<br />

OlYlGBXKl 24, 16.<br />

18; 77 JAV Z/H nSQlCpQlK<br />

scpKv dvaxolriv noieixcti, rj ds<br />

E& SGTfSQiCCV SvGLV 'Elf. II<br />

110, 11 s.; similiter 110, 15.<br />

17 s. 20 s. (CCGXQO) scpav<br />

'En. I 60, 24 s., item (&GXQOV)<br />

dvaxolriv II 108, 15; (CCOTQO)<br />

rag TS Kvurolcis v,al tecs 8v-<br />

GEIS SGnSQIKS TS KCcl fMOfff Si'<br />

SVIUVTOV noisircall 114, 11 s.;<br />

TO JB KGTQOV dno fooag qpai-<br />

noisirui dvGtv 1 66,<br />

46; similiter 68, 48; 70,<br />

9 s. 12 s.; 74, 25 s. cet.; II<br />

112, 25 ?j 114, 9 cet; TO H<br />

CCGXQOV dno 6nQLug 8G%di;r]s<br />

(pKGSOJS scoav nQcaxrjv cpctGiv<br />

noisiTui I 82, 5 s.; similiter<br />

80, 16 s.; 84, 8 10 cet. (conf.<br />

yfyrfothu, nctQSivcti,, qpafftg);<br />

rrjv d^&LVTjV scoccv BntTO^rjv<br />

noiovpzvov (KGTQOV) I 72, 27;<br />

74, 22 s.; similiter Z%. 122,<br />

2328; SKKGXOV TOOV dnlavmv<br />

aGTQcav TCOV dvuro^ag<br />

(vel Kvcfzolug TS vel entrances<br />

rs) xal dvGEig noiovfisvcov 'En.<br />

I 72, 25s.; 74,20s.; 84,12s.;<br />

similiter II 146, 28. Praeterea<br />

in eodem dicendi genere<br />

occurrunt formae noisZrcci 2%.<br />

68, 30 cet. ; noieiG&co Z%. 82,<br />

23. 24; noitiG&cci 2%. 92, 22;<br />

'En. II 114, 3; 138,<br />

11; 144, 12; snoi^Garo Z%.<br />

116. 29; denique eodem pertinere<br />

videtur locus lacuna<br />

corruptus 2%. 116, 32: inoirj-<br />

GKTO ov% r\v fjisM.81. noistoQ'Ki.<br />

6 ri^iog %Y\V soHxv avxov<br />

smrolrjv noieiTcti 2%. 116, 26<br />

[immo noist, ut supra inde a<br />

verbis (6 rj'iiog) tr]V scoav cet.<br />

demonstratum est].<br />

no tog Z%. 126, 16.<br />

to ^ GrieLOV rov<br />

AZH HvxZov Zy. 20, 26; item<br />

nolot circuli 4, 21. 27; 6, 1.<br />

4. 12 cet., sphaerae 2, 15. 17 ;<br />

4, 6. 11; 6, 12 d dlKGr^KTl.<br />

cet.; nolaj TCO<br />

TW A/J V.Vukog<br />

ysyQCtcpdoj 2tp. 18, 10 S.;<br />

similiter 2%. 24, 22; 6 nblog<br />

ttov nttQuXirjlcov KVKlcov 2(p.<br />

22, 25 s.; 8ia TCOV nolwv trig<br />

GcpaiQctg vel brevius o^ta rav<br />

nolav 2 nol&v<br />

2%. 18, 25; fiogsLog nolog 2%.<br />

144, 27; dcpocvris et cpKVfQog<br />

nolog: vide haec adiectiva.<br />

nokv adv.: nhsov 7} dug 2cp.<br />

40, 7; TOGOVTO) nliov 2%. 152,<br />

21; TroUw TT^'OV ^. 92, 24.<br />

25 s.; 108, 25.<br />

no\vg: nteicov 'En. I 60, 26;<br />

62, 9; 64, 15; 102, 11 cet.;<br />

dice n^SLOvog %QQVOV et similia:<br />

vide did et sviccvrog^ ev<br />

rikziovi %(>6v(p 2%. 84, 23 s. ;<br />

Sia. nHsiovcov i] tQiaKOvrcc rjfJiS-<br />

QUV 'En. II 134, 7 s.; 2%. 138,<br />

23; dice nlsiovcov quEQtov X<br />

2%. 134, 27. 30; nteiovag<br />

riiiEQag 'En. I 80, 17; 82, 6 s.;<br />

84, 10; nttov d' hi fysi 2%.


nUov uns%iv vel<br />

134, 26 s.';<br />

dcpiGTttG&ai 'En. II 150, 2; 2%.<br />

126, 29; 150, 26 s. 29 (conf.<br />

haec verba); noM.a> ntiov:<br />

vide nolv-, Y.KTCC ntei'ova Grjpsfa<br />

2y. 32, 3s.; 2ft. 30, 24.<br />

nleovas p. XL adnot. ad<br />

82, 6.<br />

nogs V a&ttL: SGTCO r}v nOgsvsTcci<br />

6 rjhog nsgLcpEgzia<br />

f] EK 'En. II 120, 10-13;<br />

similiter nogsvecftaj I 78, 2.<br />

nogiG^ia. sv TOJ a' sphaericorum<br />

Theodosii, ut videtur,<br />

2ft. 18, 22.<br />

noggooTsgov p. XXIX adnot.<br />

ad 24, 13.<br />

Ttore 2%. 94, 22.<br />

nov indef. 2ft. 76, 30. 31.<br />

ngiv c. indie, fut. 2ft. 78, 24;<br />

c. coniunct. Z%. 86, 17; c. infin.<br />

'En. I 48, 16. 18; 54, 8.<br />

25; 2%. 78, 26; 80, 26. 32;<br />

116, 34.<br />

TCQO rovrov Z%. 10, 31; 52, 30;<br />

(orjpsiK, CCGTQK) ngb TOV A<br />

dvccT&Usi 2%. 50, 26; 56, 29;<br />

TO TtQO TOV SV W GTLV 6 T^tOff<br />

TOV TOV<br />

2%. 119, 2 s. nQO<br />

ijUov avccTeiUccL 2%. 96, 30.<br />

ngoav KT sUlz LV: nQOUvccrsK-<br />

ISL KVTOV TO 'En. I 78, 18;<br />

TOV N nQOCtVKTEMst TO @ II<br />

116, 7 s.; similiter 118, 8;<br />

120, 18; 136, 18; 2%. 110,29;<br />

118, 31 cet.; TO H nQOuvu-<br />

Tettsi (sine genitive) 2%. 56,<br />

31; similiter 116, 22; nQoccva-<br />

TSTcdnoTcov<br />

H2, 2.<br />

(^codteov) 'En. II<br />

,<br />

iVSLv: sav (6 r-ffoog)<br />

T v H 2%. 156, 30; ngo-<br />

TO fre(OQr}[icc 2%. 128, 31.<br />

ngod e iKvvvcti: pass. ngoSe-<br />

2%. 26, 25.<br />

Us 2%. 26, 16.<br />

223<br />

: ngoSvvei TO E<br />

TOV K 'En. I 80, 6; similiter<br />

II 136, 911. 24 s.; 2%. 98,<br />

28; 108, 28; TOV riliov ngo-<br />

TOVTO ngodvvovTos 2%. 110,<br />

30 s.<br />

KVTOV (TOV rjMov] 2%. 122,<br />

22.<br />

A TOV K 'En. II 124, 3 s.;<br />

similiter 128, 2 cet.; 2%. 88,<br />

23; TCOV dcodsna ^cooYeov TO<br />

TOV Iv a SGTIV<br />

ngorj'yov^svov<br />

6 rjiiog 'En. II 110,4s.; TT^O-<br />

T/yov/ifvdv SGTI TO r 2%. 108,<br />

31; similiter 50, 28 s.; 56, 31;<br />

110, 24 cet.; noiov SGTL TO<br />

ngorjyovusvov 2%. 126, 16;<br />

fGTt ngorjyovfisva TO, (a.GTga)<br />

2%. 144, 27; a>g ngor^ov^ieva<br />

2%. 56, 29; TCOV ngoriyovps-<br />

VCOV Tivl CiVTOV TO M GVV-<br />

dvGSTcci 'En. II 126, 5 s.; similiter<br />

II 138, 18; 144, 18s.;<br />

2ft. 144, 28 (conf. ensG&ai et<br />

riysiGftui). TOV rjMov ngorjyovfisvov<br />

avTi]s (T^S nsgLcpBgeiccs}<br />

2%. 110, 30. at<br />

stoKi dvGeig TOJV (ocov sni-<br />

Tolaiv ngorjyovvTcci, 'En. II<br />

122, 12 s.; similiter 122, 14 s.,<br />

128, 6 s. 9 s. cet.; (eniTolr]}<br />

ngorjyovfievr) TOV H 2%. 58,<br />

25. TO: ngorjyovfjifva GrjfiEia<br />

2%. 50, 24, item omisso cr\pEict<br />

50, 28. Sig TK ngorjyoviJLEvcc<br />

[isgrj 2%. 122, 34;<br />

slg TO. ngoifjyoviisvK 2%. 181.<br />

Vcn: KCifta ngosiGtv o<br />

2%. 50, 25 s.; rj ano-<br />

1 s.<br />

ngosiGiv 2%. 119,<br />

ngo-nonTSLv: ngononTOVTog<br />

TOV riliov TTJV SVCCVTLCCV TV><br />

navTi2%. 80, 30 s. Conf.


224<br />

og: c. dat. SCTTCO uvccroliY.a,<br />

[iQrj tec ngbg TW d (soil.<br />

l(p),<br />

dwtlY.Ci 8\ TCC TtQOg<br />

TOO B 'En, I 50, 12 s., TOV<br />

^tov ovTog ngbg raj E I 52,<br />

.4, ac similiter passim (item<br />

in scholiis, velut 58, 20 s.;<br />

64, 22. 26 cet.); ngbg TCO<br />

KVTW Grjfisioj %. 26, 31; itQog<br />

rtp cpavsQqj vel acpuvst nolco<br />

Zcp. 16, 22 s.; 18, 5 s.;<br />

^32,<br />

9s. 11; TOU ^4 ngbg TJJ SVGSI<br />

ovrog 'En. I 66, 10; ngbg<br />

tivGfiaig II 150, 7; TT^O? Tcag<br />

dvccToluis 2%. 80, 31 s. c.<br />

accus. xov KVTQV ssi hoyov<br />

o rs XQOVOS ngog rov %QOVOV<br />

rj<br />

Y.a.1^ YQKfifirj ngbs rr\v<br />

r}v Zcp. 2, 710; (xv-<br />

OQ&oi ngbs TOV a^ovcc<br />

2


. 64, 16.<br />

c a cp co s : GcccpGrQOv 2%. 70, 30.<br />

crjfifiov Z(p. 2, 6. 8; 4, 8.<br />

18 cet., Gratia 2, 4. 14; 4,<br />

4. 21; 6, 3 cet.; rcc A B Grj-<br />

I*.LCC Zcp. 4, 1, vel brevius rcc<br />

E A 'En. I 66, 8, ac similiter<br />

passim; v.Kia TO STSQOV rfi$<br />

1<br />

rofir^g (scil. crjfisiov} 2%. 16,<br />

28; (rn orjpsia} xvxAoug yoai!)i<br />

.


226<br />

KVKTsUovTcov II 146, 23 s. ;<br />

150, 1; 154, 19 s.; 156, 26s.,<br />

vel denique roc GWETUX Klovrct<br />

Kno TGJV GvvdvvovTtov<br />

II 138, 8s. to A KGTQOV<br />

GvvcivKTztkKi TOJ r^icp 'En. I<br />

74, 15. Conf. GVV'SVVSLV.<br />

c v v a n o d s i x v v v a i :pass.av v-<br />

KnodeiKWTKi, 2%. 114, 23,<br />

Gvvdvvsiv: (KGTQOV TW j\Mw)<br />

Gvvdvvsi 'En. I 72, 28; 74,<br />

24; TO & KGTQOV TO) K GVV-<br />

dvvsi I 90, 9; similit'er II 118,<br />

9 s.; 134, 22 cet.j p. XLI<br />

adnot. ad 90, 9; orav K^a<br />

T(p ri^lCO SVVOVTI KGTQOV Ti<br />

Gvvdvvfl 'En. I 48, 13 s.; (TO<br />

H) GvvSvvsTO) TOO @ II 124,<br />

4 s.; 128, 15; similiter 126,<br />

6; 148, 3 cet. ; GvvdvvsTto TO<br />

IV, scilicet ra M, II 116, 18.<br />

- (KGTQOV) GvvSvvov TOO r<br />

'En. II 144, 18; TK cv'vdv-<br />

VOVTK et TWV GvvSvvovTwv:<br />

vide GWKVKTsMsiv sub finem.<br />

- GvvdvvKi TOV rjitov TOO A<br />

KGTQO) 'En. I 76, 15 s. GVVdvGSTKl<br />

TO)<br />

TjMcp TO A KGTQOV<br />

'En. I 72,' 14 s'.; OwdvGBtcu<br />

TCO M TCOV nO[lV(OV Ti TO) &<br />

II 116, 17 s.; similiter II 124,<br />

3^s.; 126, 5 s.; 128, 15 cet.<br />

evvsyyvg: V.KTK TO ovvsyyvs<br />

S Z . 64, 29.<br />

GVV 8KLT zMsiv: vide GVVKVKsub<br />

finem.<br />

Zy. 2,12.13.15. 17; 4,<br />

4. 6. 9. 18. 23 cet.; nsgl xtvov(jiiv7]s<br />

G(pKiQK$: vide Av-<br />

TQfrpo^isvrjg TTJS<br />

: vide GTQSCPEIV^ enl<br />

OQ&fjq GfpKLQKg 2%. 14,<br />

30; 26, 19.<br />

K: vide<br />

TKGGSLV: TCOV sni TOV<br />

HOV TTKy[lVCOV KGTQCOV 'En.<br />

II 118, 14 s.; 138, 14; 142,<br />

4; 144, 14 s.; 152, 14; 154,<br />

16. 22 s.; 158, 5; item omisso<br />

KGTQOJV II 146, 27.<br />

TKVQOS, signuin zodiaci, 2%.<br />

106, 24; 128, 20. 2326.<br />

TK%i(og: &KTTOV 2%. 124, 30.<br />

re -AKL Zy. 2, 5. 8s.; 12,<br />

9. 17; 14, 17. 20. 23; 16, 7.<br />

17 s. 20. 21 cet.;<br />

5; 50 7 ; cet.; Z%.<br />

'En. I 48,<br />

64, 31 cet.<br />

re(JkVBtv circulus circulum dicitur<br />

his formis: TS^VZI Zcp.<br />

16, 7; 20, 8; 24, 3; 26, 5;<br />

38, 1; 2%. 16, 27; TS^VOVGI<br />

2%. 18, 27; refivj] Zy. 42,<br />

27; TSitvsTco 44, 3; TSfivovTsg<br />

22, 7; 30, 13; T/*ft 16, 7;<br />

20, 9; 24, 4; 26, 5; T}IOVGLV<br />

32, 3. pass.: nsQicpEQSiK<br />

fig KVLGK . T[lVSTKl Ztp 20,<br />

18 s., item TST^TUI 24, 9;<br />

TSTIMJG&CO 71 EP (SlK[lSTQOg')<br />

di%a Zcp. 44, 8 s.; item nsQiysQf-iK<br />

'En. II 108, 6; 114,<br />

1 s.; 142, 11; 148, 8 s.; 156,<br />

6. 8vo snlnedK TIKQK^^K<br />

TK AE Td vno Tivog sni-<br />

nsSov TOV Z


yag 'En. I 64, 35; TfTJjoij-<br />

TKl tfO tYMGTOV T(QV UnhttVCOV<br />

CtGTQCQV iet SKUnSVTE nQlcpoQav<br />

gxqpfvyov TOV rjJiiov<br />

rag ctvyug I 74, 1517.<br />

Tig indefin.: knt Tivog yQaplirjg<br />

tpsQOpsvtv XL Gr}[tiov Zy.<br />

2, 6; KGTQOV TI 'En. I 50, 15;<br />

ctGTQCt riva I 62, 4. 10s.;<br />

nQicpQidv rivet 1 66, 20;<br />

xv'xAov rivog Zcp. 20, 12,<br />

wonlov rivet 20, 7, rivet nvnlov<br />

'En. I 96, 17; fuxgd Ttg<br />

jrapa/Uayr? I 74, 14; i^f'<br />

Tivdg I 76, 24; ftf-9<br />

nvdg 2%. 84, 23; fifra nvag<br />

rifiBQctg 'En. I 50, 22 s.; 52,<br />

18; a^^og rig: vide aHog.<br />

Praeterea enotavimus formas<br />

rl Zy. 4, 8; 8, 20, nvi 'En.<br />

II 124, 4, Tivd Zy. 6, 14; 10,<br />

12. 15.<br />

: snl SIK^JLSTQOV rfjg AT<br />

xvxAou OQ&OV cp6rrj-<br />

*tv TO AdT Zy. 20, 1316;<br />

similiter 24, 7 s.; 97 rov scpe-<br />

20, 1618; 24, 8 s.;<br />

8i%oro^iav TOV BZJ1 r^r^Krog<br />

2%. 90, 25 s.<br />

totya^ovv p. LXI adnot. ad<br />

92, 22. 23.<br />

roivvv: xat roivvv 'En. I 62,<br />

20; 100, 3. 13 s. 27; 102, 2;<br />

104, 12. 23; 106, 6. 10; Z%-<br />

64, 20; p. XIV.<br />

TOiOVTOg: %ETCO TOKXVTTJV ^fonv<br />

cadre cet. 27^.<br />

T0fift5g<br />

90, 25.<br />

oinissum: 6 ZP ^.<br />

28, 20 (nisi forte legendum 97<br />

ZP, scil. nsQKpSQSict: conf.<br />

p.<br />

LVII adnot. ad h. 1. et<br />

p. 162 adn. 1).<br />

TOfATj: (TO sninsdov] noir\GSi<br />

rofirjv nvxhov Zqp. 4, 11 8.;<br />

6, 23 s.; ^ V.OIVY] TOJU-TJ 17 ruv<br />

rig vrtQ 227<br />

^B 26,<br />

AE FJBA (xv'xicov) 1}<br />

8 s.<br />

; similiter 44, 6 s.; xa&o'<br />

1<br />

sdTtv 17 TO/XT] Z ^. 16, 27 s.<br />

;<br />

xara TO srsgov rfig rofifjg, TO<br />

B, Zi. 16, 28; at noivui KV-<br />

TGJV (rOOV 7tinsd(DV} TO[ICXL Zfp.<br />

28, 6; Troog CQ&ctg Trj Y.OLVT<br />

ro^ifj Z%. 26, 30 s. 33. 34.<br />

ronog: snl rov Z TOTTOV 'En<br />

II 112, 9 s.; similiter 114, 5 s.<br />

6;<br />

est<br />

124, 16 s. cet. Usitatior<br />

formula enl rov A vel<br />

similiter, scil. ar^sfov. Conf.<br />

II 124, 8s. 13. 19. 20 cet.<br />

ToaovTOg: TOCOUTOV %govov<br />

'En. II 158, 26; o'orco TOffovTo?<br />

%l. 152, 21.<br />

TOTS 2


228<br />

: vide yr\ et o<br />

insg 7][jii6v 'En. II 110, 13.<br />

19; 2%. 110, 33^<br />

Vn QninT LV: (fj 7tQlCpQ LOi)<br />

vnsqninTr) xr\v J 2%. 128,<br />

so ;<br />

vno: ri 7tQis%o[Jivr] o^Eta ycoi<br />

icc vno T&V dyopsvcov 2%.<br />

26, 30 s.; rj vno TO>V KM<br />

ycovtcc 2svu TOV r^iov 2%.<br />

^128, 22.<br />

vnons LG&CCI: vnoKSiTcci c. inf.<br />

'En. II 108, 11; 112, 7 cet.;<br />

2%. 28, 36; 92, 21 cet.; item<br />

vnox.ELod'co 'En. I 90, 20, vno-<br />

x.eiGfi'oti I 86, 13; TOVTO yccg<br />

ev Tfl ngoTKGEi fiovtexKi vno-<br />

HtiG&ui II 134, 24 s.; onsg<br />

ov% vnoKUTKi 2(p. 44, 24;<br />

46, 13; 2%. 22, 32; o> vnoy.irai<br />

2%. 28, 18 s.; T


2%. 52, 30; 64, 19; 80, 31^;<br />

cpaivoutvov 2%. 112, 27; TO;<br />

cpaiVL(jiva, Euclidis scilicet:<br />

vide Ev%kidr}s; at (pcavo-<br />

/i*m et rj cpawonsvr): vide<br />

infra; Icpaivsio Z%. 78, 27;<br />

80, 23; 86, 19; 92, 25. 27.<br />

29; eyctvrj 2%. 78,26; 84,29;<br />

150, 25. 28; 154, 26; yavfi<br />

'En. I 48, 17. 19; 50, 2. 4;<br />

2%. 48, 21; 52, 31; 58, 21<br />

cet.; cpav^VKi 'En. I 96, 15;<br />

2%. 80, 21; 119, 3; tpavev 2%.<br />

152, 20; yccvrioiTKi 'En. I 52,<br />

1. 19; 54,<br />

imrolai TS<br />

9. 26 cet. at<br />

Kai 6vGig at plv<br />

liyoviui aAjjohvcu, at ds cpctivofisvctL<br />

'En. I 48, 5s.; TCOV<br />

(patVOfitVtoV (scil. ntTOlo)V T<br />

v.ccl dvGfcov) I 48, 15; at fcoai<br />

inixoKai xs nut dvGi$ at qpcavopsvai<br />

I 50, 6s.; item at<br />

8G7tQLKi I 50, 8 s.; rov J<br />

KGTQOV Grlv fj cpccivo^Lsvr}<br />

tepee avuTokri I 52, 5 s.; scrco<br />

TOV ^/ aoTQOv ?y cpaivo(ivr]<br />

toja imro^j] I 58, 1 s.; fj<br />

tcpa cpaivo{jivr] KvaroKri 2%.<br />

58, 30; ?} fw'a cpoavofjie'vrj Ini-<br />

TO^TJ 2%. 58, 21.^24. 28; 1}<br />

cpatvo^vri fjrtToA/;, coa sci-<br />

licet, 'En. I 50, 17; 'item fj<br />

qpat?5o(UfV^ TtQarr] Iniro&rj 2%.<br />

58, 19; fj 67tSQict rpKivouLBvri<br />

'cTciroKri 'En. I 56, 19; fj 8G7i-<br />

Qld STllTO^i] ffULVO^SVYl 2%-<br />

80, 33 s.; rj cpaivoptvr] 67t-<br />

Qtcc KVUTO\TI ^X; 88, 24; 97<br />

r] 'En. I 58, 6 s.; TJ<br />

vr] E(oa 25; 17<br />

dvaig 2%. 64,<br />

twa ffKivo^ivi] dvcig<br />

2%. 64, 27; r; yKivopivri nQw-<br />

Tcog Kta dvoig 'En. I 60, 8 s.;<br />

r/ (vel<br />

av 7toiov^vri 'En. II<br />

108, 9; 110, 3; (xvjdog) g)avs^o's<br />

2


230<br />

: TO CtOTQOV<br />

dciv 2%. 92, 22, vel Tag<br />

aMag (paGsig noistzcu 2%. 116,<br />

24; (affToa) tr/v SOJKV nQco-<br />

T7JV CpKGlV nOlLTCtl''En. I 76,<br />

23 s., yel ajro la^av^g scns-<br />

Qlug CpCiGECOg SKtCCV CpCCGlV nOlfl-<br />

Ttti ng


138, 13 s.; 142, 3; 152, 13s.;<br />

154, 14; 156, 23; 158, 4 s.;<br />

diet Ttteiovos IQOVOV I 102,<br />

10. 22; S%. 124, 29 s.; lv<br />

K XQOVOV 'En. II 146,<br />

26 s.; llaGGOva %QOVOV II 146,<br />

21; Si' slaTTOVog (sive &KG-<br />

GOVOS) XQOVOV I 70, 10; 96,<br />

23; 98, 9; Z%. 124, 30<br />

s.;^v<br />

l/larrort (sive a00ovt) #


CORPUS<br />

POETARli EP1CORII GRAECORH<br />

CONSILIO ET STUDIO<br />

ARMINII KOECHLY<br />

VOL. I'll.<br />

M A N E T H N I A N A<br />

RELEGIT<br />

ARMINIUS KOECHLY<br />

L 1 P S I A E<br />

IX AEDIBUS B. G. TEUBNERI.<br />

MDCCCLVIII.


MANETHONIS<br />

APOTELESMATICORUM<br />

QUI FERUNTUR<br />

L I B R I VI.<br />

RELEGIT<br />

ARMINIUS KOECHLY.<br />

ACCEDUNT DOROTHEI ET ANNUBIONIS FRAGMENTA<br />

ASTROLOGICA.<br />

LIPSIAE<br />

IN AEDIBUS B. G. TEUBNERI.<br />

MDCCCLVIII.


LIPSIAE TYP1S li. G. TEUBNKKI.


PRAEFATIO.<br />

In Manelhonianis idem mihi mine quod olim in Quinlo ac-<br />

cidit, ut non solum obiter semelque relegenti sed adeo accuratius<br />

pliiriesque perlustranti recensionem meam ante hos octo<br />

annos absolutam atque 1851 Parisiis apud Didolum editam tenue<br />

tantum novarum emendationum spicilegium suppeteret. Neque<br />

alii haec fragmenta interea curaverunt corruptissima sane ne-<br />

que aut ab argumento aut a forma commendabilia, ut ad ea nihil<br />

alieni subsidii admovere licuerit praeter sexti libri interpretationem<br />

vernaculam programmati scholastico gymnasii Wetzla-<br />

riensis a. 1835 praemissam, qua Axtius ,,insanientis sapientiae"<br />

consulta satis fideliter expressit et notulis quibusdam partim<br />

ad ipsam rem partim ad alios scriptores spectantibus illustravit.<br />

Novarum tamen conjecturartim sex tantum eo in libello inveni,<br />

quarum conjecturarum duae (4 xctpavcp pro -Qwaro), 32 KTTS^OV<br />

pro 8Tt8%cQv^ etiam a me jam olim receptae erant, ceteras quatuor<br />

suis qnibusque locis notatas (50. 56. 153. 605.) probare<br />

non potui.<br />

Deinde nunc demum nancisci mihi licuit Ludovici Ziegleri<br />

professoris olim Rostochiensis ,,de libris apotelesmaticis, Manethonis<br />

nomini vulgo addictis commentationem", quae inserta<br />

legitur libri, qui ,,Neues Magazin fiir Schullehrer.<br />

Herausgegeben von G. A. Huperti und H. Schlichthorst.<br />

Gottingen 1793." inscribitur, vol. II, fasc. 1, p. 99<br />

127. Ejus libri inspiciendi quoniam nee olim Axtio atque Ri-<br />

glero (quorum vid. praefat. p. IX*)) nee nuper mihi potestas<br />

facta est, quamquam equidem nihil novi ex eo didici, tamen viri<br />

defunct! operam sobriam atque modestam silentio premere nolui,<br />

cum profectp pro illius aetatis ingenio, quae prolegomenis Wol-<br />

fianis nondum in lucem emissis vel Argonautica ilia antiquissimo<br />

Orpheo adscribere non dubitabat, acute de Manethonianis judi-


TI PBAEFATIO.<br />

ciura tuleril. Constat igitur libellus sex parliculis, quarum<br />

prima p. 99 104 '<br />

de ,,astrologiae apotelesmalicae originibus<br />

et Datura" scripsit, altera p. 104 107 ejusdem ,,brevem historian^<br />

delineavit; turn Apotelesmaticorum libros nee ,,illius Ma-<br />

nethonis, qui Aegyptiaca scripsit, habendos" tertiap.lQl 110,<br />

1 "<br />

nee ,,PtolemaeiPhiladeiphi temporibus accensendos esse quarU<br />

p. 110 112 ita demonstrat, ut nihil, quod ,,religionibus et in-<br />

stitutis Aegyptiorum respondeat a , inesse , Graecos vero astronomos<br />

ab apotelesmaticorum nugis ante Caesaris tempora abs<br />

tinuisse moneat, quibus temporibus et Nigidius Figulus Dion<<br />

XLV, 1 et L. Tarutius Firmanus Cicerone divin. 11,47 teste hi:<br />

rebus operam dare primum coepissent. Et haec quidem sen-<br />

tentia Maximi illius qui fertur poemate TCZQI Karaqytiv redar-<br />

guitur, quod Alexandrinorum saeculo certissimis argumentis<br />

nobis vindicatum in hac epicorum collectione^ra/o adjungemus;<br />

quae vero de sermoneManethonianorum ut recentioris aelatis documento<br />

p. 113 brevissime admonuit, ea nos in editionis Didotianae<br />

praefatione uberius persecuti sumus. Cumulum addit auclor<br />

particula quinta p. 114 117, qua ,, libros apotelesmaticos non<br />

unius ejusdemque auctoris habendos u demonstravit, et sextet<br />

p. 118 127, qua Materno Firmico in comparationem vocato<br />

quod et nos fecimus in epimetro p. LXVII1- LXX postremo<br />

sententiae summam p. 123 his verbis concepit: .,Quae omnia et<br />

alia ejusmodi plura me inducunt, ntlibris nostris periodum in Ira<br />

tempora Augusli el Conslantini magni adsignem, qua auclores<br />

eorum vixisse, et Mum opus laudem" '(sic! voluitne: tandem.')<br />

^collectum putetur." Haec sententia ut paullo incertior est, ita<br />

etiam singulos libros singulis auctoribus non satis feliciter dis-<br />

tribuit. Putat enim p. 117 libri II v. 1 140 ,,esse fragmentum<br />

ex antiquitate superstes, quod auctor in suum usum converterit,<br />

sua qualiacunque adnexurus;" ejus auctoris jam esse alteram<br />

libri secundi partem et libri III v. 1 216, cum a v. 217 ,.aliud<br />

incipiat corollariumu , de quo non magis sibi exploratum esse<br />

quid statuat quam de libro IV et VI; librum I et V p. 114 dicit<br />

,,a quodam auctore esse adsutos, qui Ptolemaei Philadelphi<br />

aetatem lectoribus obtrudere voluerit.' 4<br />

Postremo p. 117 con-<br />

cludit ,,integrum opus esse centonem a pluribus auctoribus<br />

composition, subinde interpolatum, reliquiis aliorum auctum, et<br />

tandem ab astrologo aliquo in hunc ordinem redactum."


PRAEFATIO. VII<br />

Cum his, quae quam vaga sint nemo non videt, componere<br />

jam placet disputationis meae in majore editione institutae summam<br />

quam brevissime comprehensam, ut eliam iis, qui sola hac<br />

usuri sunt editione, de horum librorum Manethonem aperto<br />

mendacio in fronte gerentium ratione atque tempore constet.<br />

In his igitur libris habemus primo carmen unum et continuum<br />

et (nisi forte prooemii qtiaedam perierunt, quod maxime<br />

ex II, 349 ft> nctl TtQOG&ev aeiGa^ev apparet) exceptis paucis<br />

quibusdam parvisque lacunis prorsus integrum.<br />

constans illud<br />

libris iribus, qui vulgo II. Ill et VI numerantur; cujus carminis<br />

auctorem neque ante Antoninos neque post Alexandrum Severum<br />

vixisse pro certo affirrnari , eum ipso Alexandra Severo imperante<br />

(a. 222 235) carmen suum edidisse satis probabiliter con-<br />

cludi potest. Habemus deinde inclusum libro quarto alterum<br />

carmen a recentiore poe'ta Juliani temporibus compositum idque<br />

aut ad prioris carminis, quod probabilius putaverim, aut ad anti-<br />

quioris cujusdam, unde illud qtioque fluxit, imitationem expressum,<br />

sed illud et multis partibus mutilatum et in rerum serie<br />

locorumque ordine turbatum. Quapropter singulas ejus partes<br />

intervallis et literis, singula schemata numeris distinxi.<br />

Habemus denique duas collectiones, quarum altera eaque<br />

melior primus, altera quintus liber inscribitur, a duobus homini-<br />

bus et ignorantia metrorum sermonisque Graeci et ingenii stu-<br />

pore simillimis factas, quibus diversissimorum poetarum fragmenta<br />

et insulsissimorum versificatorum, quos eosdem cum ex-<br />

cerptoribus esse putem, foetus continentur, nullo nisi externae<br />

cujusdam rerum nominumque similitudinis vinculo cohaerentia.<br />

Itaque hie quoque singula membra et intercapedinibus distinui<br />

et numeris distinxi, praeterea praefixis crucibus ineptissima<br />

quaeque notavi , in primo libro insuper, quae ejusdem auctoris<br />

viderentur esse fragmenta, positis literis significavi, quae e<br />

quarto libro excerpta sunt, diserte imo in margine indicavi.<br />

Turn omnibus in libris et quae singulis locis interpolando<br />

illata sunt consuetis uncinis circumsepsi, et quae a me probabili<br />

conjectura suppleta videbantur minoribus literis exprimenda<br />

curavi; postremo diductas literas , quibus legentium commodi-<br />

tatis gratia jam in priore editione stellarum nomina atque po-<br />

situras luculentius designaveram, retinendas putavi.<br />

Restat jam, ut brevem eorum locorum indicem adjiciam,


VIII PRAEFATIO.<br />

quibus locis aut a prioribus editoribus aut a meGronovianae editionis<br />

textus, qui fere cum codice Mediceo unde descriptus est<br />

consenlit, conjecturis sive alienis sive nostris mutatus est. In<br />

quo negotio taedii plenissimo id egi, ut et levissima quaeque<br />

orthographiae et interpunctionis menda quae quidem innumera<br />

sunt et lacunas transpositionesque satis jam asteriscis<br />

numerisque indicatas singulatim notare supersederem et brevissime<br />

tantum varias editionum lectiones componerem mutandi et<br />

rationibus et auctoribus fere omissis. Siglis autem iisdem, quibus<br />

jam in editione majore usus sum, ut G Gronovianam, A editionem<br />

ab Axtio et Riglero comparatam, edd. harum ambarum editionum<br />

consensum, M (aut MS. in notis Gronovianis ad verbum exscriptis)<br />

codicem Mediceum denotaret. Praeterea K meae editionis<br />

textum, v h. e. volgo ejusdem cum Gronoviana atque Axtio-<br />

Rigleriana consensum significat. Jam igitur ad singulos locos<br />

accedimus.<br />

LIBER II. (I.)<br />

2 dirivEXEcog TE (pEQOvrai G, dirjveneag ye cpEQOvrai A.<br />

3 T (JLVQicc OVQKVW G, (ivQL\ ax A. Sed num pvqi iv OVQUVW<br />

ut Arat. 10? Quamquam cfr. 105. 6 fikoGvyoiGi G. -<br />

10 A'Ttlaviwv Evl XCOQ^V G, cutlaviwv ^cogy A. [] dy] fie G: an<br />

'/.alt [] num dsdevTou., quoniam etiam evdede^evoi aOrs<br />

appellantur? - 13 avtcog ^fc] aMcog drj edd. (| 7tscpo()r](.iEVcc<br />

^TtEQ&qgG; ,,*suprascr. XBV&SI" Gron. ,,Nisi hie lacuna subesl<br />

ita fere explenda:<br />

ft'AAor d\ otf' OVQKVOS SVTOS anKiQixa xsv&ei, vneQ&<br />

KGTQK Ttolv TtksOVK 67tOQ(xdr]V % E<br />

7tE(f>OQlf]fJiEVC( IX K<br />

U<br />

. K.<br />

14 ol dwyavoTctWL G, o? 6t] ayccvorarov A. - 16 v>ul del-<br />

tt^A'] A dixy I* G, (KQG^OV) deLKTjlcov A. 19 ogafjie<br />

G. 23 POQEOV G. 24 necpcdriv G. 28 ovg edd.<br />

[| GcpaiQEi G. 30 Tads re G. 33 eW] E'v&' G.<br />

34 ds] re edd. 35 Si's ^v ya^ TT^COTOC ra itolov G, oc<br />

f^j' yap KQcoTiGrct nokov A K. Post ngcowg<br />

duo hemistichia<br />

excidisse^nunc demum intellexi. 37 TQOTtixog] rgonag G,<br />

rQonal ctv A. 38 rEivovrca {leGaroi re G, ylyvovzcti (JLE-<br />

Gcctog rs A. ,,Facile hoc modo rem explanare poterat ceteris<br />

convenienter : rov ds (JLETCC rgoTtixog &QEOg TtvQikctfATCEog (O<br />

e&Lrjs ds, di' ov KVK&OV ai&EQOs otfioi relvovrcti


PRAEFATIO. IX<br />

di ov &oov agpct TLTUIVCOV<br />

" K. 39 ]&}<br />

G. 40 leiptqivig<br />

TS G, ^Ei^e^irig ye A. 42<br />

aQcfv G. 46 ofOov] olov G, cdav A. Cave ex 36<br />

conjicias. 49 dlxrjv G. 51 twr] in v. ,,MS.<br />

Gron. 55 ETtapoificcdsg E^aoGccvTO G. 57 avnsQ edd. ||<br />

aQiGwi G. 60 ov] ovv G. 65 lAcorca] vavrca v. 67 Oi<br />

TEVOL G. 70 -ft<br />

1<br />

'] eT edd. 74 I'JM] ei/J G, (oydoarri fiol^rj)<br />

EVL A. 76 ccv%sviov v. 82 6vo tfwj tfvv stort edd.<br />

89 vnsQsovra G. 90 diccTQifiovr edd. 94 JEfeeVarcv'<br />

X7T() G, Gxlnvev VTVSQ A. || yvfa edd. 96 kccycpov<br />

G.<br />

99 vonov v, sed ,,vow'ov distinctione post hanc vocem posita<br />

- H." A. 100<br />

GTSQVOV yiiyct G, GTEQVOV fierce A. 104<br />

ctx^OTOftooft edd. - 105 ex xogvcpiig G. 107 E* GrctGi,<br />

KGTepcpeigTS Kui G. 108 om G.<br />

oAxov] Oftou G. 109 #'<br />

- 112 yaiuv G. - 115 imrefiver' G. - 116<br />

ycdcc&eov G. || |3aiog edd. 121 Toov edd. 122 CCXQO-<br />

TCtTOV KEVTQOV ^1}f0$ fpOVlOiO T8 ( 0^ ^ A) (JL8GGOV edd.<br />

123 iftfe] jcai ^ edd. || axyov] VGTQOV edd. 128 fe&TSQrp*<br />

edd. - 134 evl edd. - 136 ^o/] slqol G. - 137 ^et<br />

T' ETttvvGG' sKaTeQ&ev edd. Em R. 142 UQEIOVQ edd.<br />

143 Tt/U'ov G. naxot (5'<br />

||<br />

oye G. 148 nlvwysyyoig edd.<br />

151 STSQOLGLV G. 152 deGpcov<br />

G. -<br />

156 ix&eplvovg<br />

edd. TtaAt<br />

|| dcoxsv] aTts^coxev v. 161 v ?j itehxeafi cpgovevvrag<br />

G, }' fansqatn} 11, cpQovevvrag A. -<br />

162 vitoit-c-<br />

mrjmTsg G. 163 O^GGare sxrsleovcw G. 164+165 Pro<br />

simplici versa ita a nobis restitute leguntur in G hi duo= 155<br />

sq.: JIoLUnu (f a/Uor^MOV vtctldcDV Ttccre^ag xctUeG&ai, z/w-<br />

xev, ?j ix&spvovg 'rj nal GyerEQOvg (XTtsdcoKev, quos scripto<br />

naldcts pro i/ xai retinuit A eosdem supra<br />

nncinis circumdedit,<br />

utrumque male. - 166 OQIOIGIV} oi'xouiiv G. - en KQyctttovg G, ^e rot ccQyakeovg A. t om G.<br />

||<br />

172 5'<br />

- 177 Ttag-<br />

SGJV] ITWCOV G, y inttov A. 178 Ids] de G. 180 et<br />

179 transposuit R. - 182 drfoi XL xcci G. - 186 (iuka<br />

yavQOV(A,evovg G, jM-c^A' ccyccvo^evovg A. 188 STEQCOV G.<br />

- 193 xcci kahrjg ij yAwtfcTav edd. 195<br />

XQVTtradiov g edd.<br />

201 xul 6"* uviict G. 205 ZGft'ktov edd. 207 CCTTO-<br />

&eG(pc


cujus clausulam ut satis probabilem textui intuli. - 218<br />

OGOV G, els TOGOV A. 222 Ilavioiovg G, navrolcov sequentibus<br />

junctum A. 224 SvriTovg otUtxft veil G. 225 nal<br />

GTJK&V paxaQcov teQOvg (legovg G) re TtpoldQOvg edd. 226<br />

Qcthovg edd. - 1<br />

228 -0<br />

q&iyfyov x \._ 230 T' om edd. - 234<br />

'<br />

om G. |] ev] ev v. Em A. - 229<br />

plTQaig edd. -<br />

235 toig $' av yQaGGi legoiGw G, notg $' av ysgueGG^ LZQOIGLV<br />

A , rovg 6' av yeQusaa' ISQOLGLV K. 237 l"naGsv EK<br />

u<br />

A.ci{jiov (,,MS. $aAa|ii.O'U 8oi)Kv ds ). ^EKTQK yvveaKcav G,<br />

&a-<br />

O/'TT.<br />

s-ud-cdapcdv '<br />

dwnsv 6s ts MKTQK yvvctinav A. 238 iv ET^GI,<br />

T evl TtokizGGiv ctQiGTOvg G, t(5' srJGiv evl mokfeGGiv CCQLGTOI<br />

sequentibus junctum A. 241 Tmjw/^jneVov G. 242 nul \. 243 TtoQOv<br />

yds<br />

G. An (pegov'l - 246 nolvv 6'A-<br />

(lov G. 247 lit svcpQOGvvrjg G. - 250 *] T' edd. ||<br />

6' eraQOiGLV edd. 254 TCatdev^icK^ suspectum. An jiifAe-<br />

ir' seu tale -<br />

quid? 255 #'] $' G. - G. o&i<br />

[] T'] cm G.<br />

256 6i(p$(p]<br />

258 nettta opug] nei&opevovg<br />

v, quod ferri non posse jam olim intellexeram de emendatione<br />

incertus , quam certissimam nunc suppeditavit<br />

%QVGW<br />

v. 241.<br />

[| ^ere-<br />

edd. 261 E"vrs dixag noiteGGiv G.<br />

G. vn edd. 265 ntivo<br />

|| G, nelvctg A.<br />

264 dmaig<br />

272 %$Giv<br />

olinovGiv G, %eiQeGG' blinovGiv A. Ordine, qui necessario<br />

mutandus erat, retento 269 r Kovvxeg et 270 vvfjupevovrcci A.<br />

276 S(jLC)adag GK, d^cotadccg A. 277 GvvevvoiGiv (pdoTq-<br />

Tog G, GvvevvGjGw (pihoTrjTog A. 278 alsv K^eTtro^evrjg<br />

edd. 279 reel riovG ><br />

] Tovg I'ovg (,,MS. TOV g /buff' ") G, roi><br />

TLOVG' A. 281 sq. a/lo^oe^, xort avr&v el'vexa drj&a E'v GVV~<br />

o%rjGi yivovTO, * xat aAATJAou? ttN^tfav G hac nota addita:<br />

,,In marg. y$. xal aTtkrjTOig ojt&ffff*.** Quod suo loco restitui.<br />

Videtur autem tale quid excidisse: - - >cca vlkijkovg<br />

a&igi^&v GfprjGiv araa^a^t^fft, VM\ avc&v eTvena d^K etc. Retinuit<br />

G scripturam A. 283 svewctv em A; sd&Kuv edd.<br />

290 Tag d^ aMag avd^KGiv LGKLQ xa[ivovGav avTaig G, rag (T<br />

allag avdyeGGiv i'Gag %a^vovGiv aviag ordine retento A.<br />

286 qw/lor^ra "kvTtr^v TOKeTcovr G , qwAor??T akvuiyv TOKetcov<br />

A. 287 oylriGu G. 288 figtyn tdftotoxovactv G,<br />

LQ-eoKoyGiv A. 289 tv] negl edd. 294 KQog<br />

roiGi G, yGi A. 296 dfdarfnowg G. 297 nal<br />

ftapivag] Kqfaucg eldlag G , Kfafiiag a'idiovg A. ]] nv-<br />

ev


PRAEFATIO. XI<br />

ar' e%ovreg G. 299 re om G. - 300 naidowrs<br />

yrjrijQeg G, Ttatdtov ye xa&rflrrjrriQeg A. - 303 OGGCOV<br />

G, OGGOV PIOTG) A. 305 niaGroygctcpov G. 308<br />

G. 311<br />

depevovg G. - 309 mxvga] nollcc edd. |] %Qrjo$<br />

avdQccGiv G, SidoUv A. 312 laC&aig em Lobeck.,<br />

edd., -freoafg K. Geeovrat G. 318 |] rising Id']<br />

G, sed ,,MS. t' ', Ipa'uJtv" rL^rjGiv A. - 321 IOIKO-<br />

|Liv G. 324 yQctcpioig] ygcKpaig G, yQcmrolg A.<br />

323 (logcpag ftrjocov rtavrcov re edd. 326 tnt&iputt& G.<br />

331 x om edd.<br />

|| 'JJli}(fc nevL'/^aig<br />

atGTtog G. 430 iye'Zopevaig G. 432<br />

v. 433435:<br />

A. 429<br />

itofyas fifag ftctla ttctvttyrpttg)<br />

*<br />

acpveivg , jitaAar df dpcoatiiv ctvaGticov,<br />

v d' ^co'/t xai 7J(J(?ova; f/M, n^ifyaw wt<br />

G hac nota addita: ,,*MS. ^' f}fiMftta>." A 433 post jttaAa add<br />

tot, 434 5' ^(prjGLv et 435 ngrj^iv T' IJGGOVCC dane xal ev TtQr)-<br />

$eGGiv scripsit. ,,Patet hie quoque pltira intercidisse, quae hoc<br />

fere modo olim integre lecta fuisse facile omnibus persuadeam:<br />

6* a)7t(X668<br />

fiiovg rfyvas ts fictvavGovg<br />

TlQO[JiVOlS, ^Cild d' l] O) y<br />

G I V


XII PRAEFATIO.<br />

, EV SGTt 8 Q I 7} G I $ @aiVCOV<br />

j^lv #' yGGova docbc', ev ngvj^scl r' k'fifjisv vit<br />

Ita ego olim, nee hodie quidquam est, quod mutandum vi-<br />

deatur, nisi quod nunc 435 singularem ngij^sT scripsi propter<br />

ngifew. 438 dfc Gvv avroiGiv G, V<br />

okly<br />

edd. B. ciTtoreleG^a. . . . ciitccMaKTCog evQlGnopev 6Wor, nav G,<br />

unde xai note rav ccv&Qcanwv anore k e G (ju a r cc u7taM.KnTcog<br />

evglGKOpev ovra conj A. avrl (A,GovQav7]^awg G. ccva-<br />

edd. -<br />

peTQOvvTsg] ovv (jLergovvrsg G. ^/. *HUov] "Agecog<br />

7 TtiGvqoiGiv<br />

G. 10 SiafaGe Ttavrag G. 12 !'g T' av<br />

G. 13 fatoig (om d') G. 15 Jt^eo'fr', OTror' ctvegeg G.<br />

19 y^a edd. 28 EQ^GGEV G. 29 kiTtev yeverrj^ G.<br />

30 KQv'C G.<br />

g edd.<br />

33 itax^Giv vno G, vito<br />

narQ^GLv<br />

A. 34<br />

- - 36 ravra edd. 38 kaoi'g'? 42 Kr\edd.<br />

50 Fortasse 'frapG'cde'ove<br />

T' egdei. 55 oclsl<br />

edd. 56 T'<br />

j5*aro*o upEQdei, v. Cfr. II, 454. 57<br />


PRAEFATIO. XIII<br />

G. - 93 Kca #'] vat 6' G. 94 ftsanftst G.<br />

99 aQyvgctfioipovg edd. - 102 Gocphp? edd. - 105 yiy-<br />

-S-evovTaff G. 106 -EV en' G. - 113 ITIIVQI^ olim sim-<br />

pliciter pro eVt itarqy scripsi nihil de_ lacuna suspicatus.<br />

122 -9 1<br />

'<br />

KfAK G. 12i H [ictriiri $' avx tjGGwv G. si] [] rjv<br />

edd.<br />

|| fui>] ftv edd. - 128 $r' av G. 130 a


XIV PRAEFATIO.<br />

G. 276 tyvy^u) edd. - 281<br />

283 %t>v zvl dcojLtacff. v. Cfr. VI, 144. 201. 288 laMyg G.<br />

295 TQLywvog v. 299 ayaQ-ii^Te tv%oi,ev G. 302 avrovg<br />

G. 304 ciTceiqitov] VTteiQoyov v repetitum ex 303. Cfr. II,<br />

262. 312 & aQa] yuQ edd. 314 iitL^ctQivQiaig rade<br />

G. - 328 6'<br />

n-qri&Gi lv edd. 330 vfauSTctl] Tr '^Qtc re<br />

TE om G. 334 xat % G, XCCL x A. 338 KKKV\ nofav<br />

G. ||<br />

sdQcifjLev ulvl] G, %ara itrohv k'dQccpev cclvy A. Cfr. II, 298.<br />

340 trjv d G, quo retento 339 .Epfiifg rsvQ&yawog ij avvlog 77<br />

A. || r^ogcttft? edd. 351 ,,Poteris animo hie repetere v. 334:<br />

4 '<br />

etxsAor %cu d' aAAcac TfAg'otxjiv.<br />

7ti[ictQrvQi(xic;<br />

l<br />

356 edd.<br />

itcefatttifWGvwQtiiv 357 T<br />

aytf'O V^Eg] (,i<br />

t<br />

ycc6&vg<br />

edd. 363 $ y.evcog G, de xsv, cog A. Ij yavsltw G,<br />

qxxviev A. 374 ,


PRAEFATIO. XV<br />

a&ov] okovro edd., quo retento Axf. 1. c. ad versum sequentem<br />

adscripsit: ,"-Ayfi nod- ist auf jeden Fall verderbt; wenn es<br />

noch {lEGGrf/v hiesse! Vielleicht schrieb er Eitet&vLCtV) oder<br />

upcpiTtokoiGi,." Frustra ! 50 in] eg G. 56 IGOL AK<br />

retento in fine tiy.eGGiv , pro quo mine ex 145 TLEGKEV scrips!.<br />

Lacunam enirn subesse hie minus probabile videbatur. Etiam<br />

Axt. 1. c. jam Dorvillianum IGOV yovi^oiGiv ETIGEV probat. -<br />

57 H\ ds oAcog G. 58 vntxi G, anal A. || 'ftiki<br />

G. 59 EvovkvjGev G, uiv or^Gev A. 67<br />

EK %oc>


XVI PRAEFATIO.<br />

QEGGCCV G. 251 Aa/3ovrca edd. 252 OTCOV G. 253<br />

alloi vapof non sufficeret. 380 ckWzm<br />

edd. 383 ^} faiov G. - 385 Ids] ds rs G. - 389<br />

^YUJLUGLV clde ye G, G^aGiv<br />

'<br />

el de ye A, sed Gr][A,aTog M, pro quo<br />

,,alius KEQ^cccog praetulerit u . K. 390 A'CGOTSQCO G, atjaorc'^co<br />

AK. - 398 KEVTQOV G. - 399 TTEQ] pev \. || xuU.i


PRAEFATIO. XVII<br />

470 aQ&svreg] Iv&twsg edd. 473 (JLccvreig<br />

olcov. edd. 474 r' post &VECDV om edd. 477 Keivoi<br />

y aAA^Acov G, (og itahi d EQ^LOV.^ xitvol T aklrjkovg A.<br />

481 Gvviyrpav G, sed ovv ecpyvav M. 484 figorov G,<br />

rov A. 485 i 9 quod III,<br />

261.^ VI, 198- 648. 719 recte ha-<br />

bet, nee praestat quod A conjecit acpctQ: potius eyv ex consuetudine<br />

videtur. 543 ev GTEQVOLGLV edd. - 553 rovro]<br />

TWUTO v, quod pronomen recte legitur 219, sed alterum 119.<br />

429. 636. - 544 8' %7teirce edd. --- 547 '] y v.<br />

554 Eoprjv edd. 560 mvvrws G. || na^aftlrj^ceg edd.<br />

566 itqo dvtitv G. 567 5' om K errore. 575 cpavrj\<br />

qxxsi, edd. 577 O"gsa 6rj vcowig GyereQOig G, odea 6rj<br />

VCOTOV GcpersQOig A. ||<br />

In edd. 580 Mt]de G. |j ctnorpr}ytttiiv<br />

G, uTt&tiMJyove' 18* A. 584 Ircvgav edd. 592<br />

el] ofdev K. Illo restitute lacuna indicanda fuit. 600 8e]<br />

re edd. 598 rj ^]QCOV] rj l vygtiv edd. 599 rehvat-<br />

edd. |] r']


XVIII PRAEFATIO.<br />

g G.<br />

G, (jLQiGGav AK verbo huic ig-noto.<br />

647 TeTQttynvog G, rerQaycovoL A. -<br />

648<br />

G. 649 dvicQQ'rjv G. 651 deKKzertoc; G. -<br />

663 nsvlrjg xQvsQ-rjs v. Sed vid. 633. 679. - 665 civ] j\v G,<br />

- av A. 666 Gwacpyv G. 670 x'] 7' edd. 673<br />

E^cKvllGGEV G. -, 674 tljpfttlg] T%VCOV G, T8%VCOV AK. -<br />

675 A sine lacuna. JK*A,iJ] /SaAAj? 676 juaAa]<br />

KCCTK edd.<br />

navv'] &QJ& v. - 678 atfjreirog] attyuw y edd. - 68-i<br />

H"si$ G, sed fjefe M; rjfcg A. 685 Tcog G, rco'g A.<br />

687 Kal] vj edd. || Jca^jre^O'f jjeoiev G, sed xa&VTtSQTEQEOLev M ;<br />

xaO^TCSprepaufv miro errore A. 688 rofy']<br />

rot' G. 694<br />

ysyacQTes edd. [| IKOVGW G, si'xovciv A. 697 I'orat edd.<br />

701 ?J oni'G. - 702 jte'Aot edd. 703 ft] ^/v v. _ 70p<br />

vfjLCpoieQow dpaiav v. 706 de %EV G. 707 5' owr' eV<br />

xsvvQtp Kgovog G, (T av Xpovog v KEVTQO) A. 709 7t'] t^'<br />

edd. 711 A f<br />

'fi(i G. 717 OQCOVTO G. - 723 MqTivog<br />

G, sed in M ,,superscript. aviwJavrog." 730<br />

QGGct ys edd. 732 Post hunc hujuscemodi versum :<br />

Ids<br />

excidisse demonstravi in praefat p. XVI. 734 ov x'] otc<br />

v. 735 TOty ad] rot^c av G, ((JiccvTOGvvrfii, yelp) av<br />

roiaig A. -<br />

736 tjjd'] r-ifv 5' G, 5^0-' A. 737 y] T<br />

G. j] %oav] aycov G, yo>v A. 741 rjj JM,'] rijv G. || stpv^v<br />

ETtolvifarog G. 742 vtirarioiGi fier" v. - '<br />

1<br />

G. 747 xa-8 w^?]<br />

743 ta(f<br />

atai co^)^ edd. - 751 pov0|?<br />

G. -<br />

753 afyioxoio dvyaiQEg edd.<br />

In fine add G MANE&&NQ2 AIIOTEAE2MATIg<br />

TETE'AEZTAI.<br />

KSTN |<br />

BIBAl'ON<br />

LIBER IV.<br />

1 nlaGnyyoq G. - 4<br />

ovop.'flttctg G, e^ovo^va A.<br />

6 /jjntju^r'<br />

edd.<br />

ano$$ely G, ^(ur^yi Ttogsly<br />

A. 7 ^o^tjro^a<br />

- 17 f'e<br />

/3/ov wp^g G. 21 fwi'd/otgrf G, fw^or<br />

6' olg rs A. 29 B&0Aayft9JI G, quod errore relictum in<br />

K; (xl&SQoKcx^Tty A. 31 $| K errore. 33 1v7t\}<br />

hie quoque G. 35 An /S loroGxoitov ut infra 572? Sed<br />

cfr. supra 28 BAvT0*^>povog w^g, quamquam hie quoque ex<br />

77 fii,OTQ[jiOvog praesto est. 37 dffOpov G. - 38 r t s


PRAEFATIO. XIX<br />

edd. - 40 Ttolefia)] imlemv G, nottcov AK. 43 no\v-<br />

nltog oi'GETcci, oi'xovg G, nolv xUog OLGET' sg oi'novg A.<br />

44 7tsQda(ji7teog edd. 45 ctfjicpiTiokevei, G. - 49 TTOT^O)]<br />

xoGfjiG) edd. - 52 voGEQwg edd. 53 dwovtfa edd.<br />

edd. 60<br />

56 7tavcc&G[MOg avtfg edd. 57 aiG^QEO^vQ'Og<br />

edd. 65 r\v (AEV yccQ edd. [| ^EGOEVTO. G,<br />

A. - 68 % TO^ T^u^g (JLVGTVJQICC TEV%ET<br />

sine dubio<br />

edd., clausula v. 64 inepte repetita, quae<br />

invecta est, postquam genuina perierant. Eorum fortasse<br />

leve vestigium restat in scriptura v. praecedentis, de qua ita G<br />

scribit: ,,Sic edidi, quum in MS. esset cmlarov dtctKOGprjTOQa<br />

K0[i7tov, eique superscriptum ecTtharovg S^KOG^TOQK^ at in<br />

margine 7^. O-fO^topa xodftov, quod superius" (v. 7) ,,occurrit,<br />

ut pateat locum diu fuisse ambiguum." Hinc ad ti^g ad-<br />

didi (5e, versu lacunae signis expleto." Ita turn quidem dis-<br />

serui, nunc vero locum mutilatum ex relictis laciniis satis probabiliter<br />

mihi restituisse videor: cfr. II, 243. Ill, 80 de eodem<br />

schemate. 72 xctl xculttfsoy^.] sx xccXctyioyQ. edd. 76<br />

re om edd.<br />

|| a^^svrag edd. , dyQiosvctxg K. 78 JC^T|^]<br />

'/aror<br />

yi]$ edd. 81 Gs^via^cov xe VOGOIGI edd.<br />

yfjgre G, yrjg ye<br />

83<br />

A. [) cpSQOtro edd. -<br />

82 Id<br />

iv]<br />

en, G , sed<br />

el d' iv M. 85 IvoAjSovg edd. 86 ^ifyo^ov^ Je<br />

TsxvotGi nal EVTtUTOQccg % ttTQSTtwvg G', xul KTQSTtTOvg cetcris<br />

corruptelis retentis A. 87 Svvavrog edd. 88 mlceyxTci]<br />

TToAAa edd. 89 v l~evt


X-X PRAEFATIO.<br />

ivt cv fc Jcor'frci) KOSfiov<br />

ov Qtxv bv Iv Ktt&vyQ(p YML<br />

rj<br />

', cfr.<br />

VI, 451. 134 I'dgvg G. 135 &<br />

ii G, Q-^riGerai, A. 136 FfieQOV G,<br />

A. 137 xoivcovbv Ttavtcov G , KOLVCOVCOV Ttctvrcov A.<br />

138 en &cfXa(JLcov edd. 141 Ex I, 303 intrusus videtur.<br />

145 O(pd"fjvc* ycm/e IE re^elv %ciQ7tbv TtuQa. vura nulla notata<br />

lacuna v. Versum , quern olim ,,multis tentatis emendare non<br />

potui sed intactum reliqui, u jam recte constituisse mihi videor:<br />

de TtQOGrrivca cfr. 63; turn tale quid excidisse videtur:<br />

yccltig TS r[iiv Kara cblnccs CCQOTQG),<br />

*<br />

yuirig afj^&^vrtx cpsqeiv XV.QTCOV itegl vcoror.<br />

Vid. G 366 375. Nisi potius omnia ad messem referebantur<br />

hoc fere tnodo:<br />

- yflf/ffg T TeficlV XCCQTtOV dQSTtCtVftGlV,<br />

ilfodavoitii dssiv ts, dsrov xs cpzQEiv itE^l VCOTOJ.<br />

Cfr. 2 550 556. 147 Hyjoi G. - 154 (it]vt] re edd.'|| ?<br />

koyevoiiivi] Te G. 156 xstvoiGi edd. 157 E^gpfis o<br />

neivu G, xcxivcc A.<br />

slg oixeict G. 159 E"GG6&cu G. ||<br />

167 ttatQOv9d,6fog] at&EQQc edd. [j caoAaTmA<strong>org</strong>rf ngocpavei<br />

G. 174 T' om G. - 175 In K lacunae signa non in<br />

medio versu, sed post eum posueram. 178 6s]<br />

TE edd.<br />

183 KVQIK&V] loyiKMV G, XOQIKCOV A. 187 "AQSO$\<br />

edd. 188 xxvlvsaat G. 191 vutivlfywc edd.<br />

194 en] iv edd. 195 7tavlG%G)Gi,<br />

G. 200<br />

7rva; v. In clausula baud scio an<br />

ci scripserit. 206 Kvll^viog<br />

edd. 209<br />

G. 211 (AKVTittg is&lovg] pavnv s&riKsv edd.<br />

212 vdQoyiv.vTiz l(0^ev G. 216 JLvGOOfiavovvTcw edd.<br />

217 Gelrivux&vxa. A. 219 jtuya] (isyu G. 220<br />

a7rct(.iriTOQKg] Ttaldmv tVottt/ro^c^g edd. 227<br />

G , kgoJuforovs AK. . 230 SialuiiTtctdci G ,<br />

A.<br />

|] avrla]<br />

ctnrlvi G. 231 ty fyopov els]<br />

1<br />

e dgofiov y" A. 233 tyevGraig v. Cfr. 186. 344.<br />

235 x&fovmdiGtriQCig G. 239 0ctlvf&v<br />

|?eif/va)v]<br />

240 TO|OTCOT /SorA^<br />

edd.<br />

G , To^otw ye /3aA^ A.<br />

edd. 242 Aecov TC] llovrog G. 245 T<br />

v. 247 d' r'. 250 i ;


PRAEFATIO. XXI<br />

"251 &^og>6^ovg G, quod ne mutes in ov&ocpOQOvg, vid. 259.<br />

254: 7tttQaV%VGlflGl G , TtCtQKLyvGiSGGl, A. [j fiShiqpLOQkVTCK M, jM.c'1/7<br />

f3i6kvTtt G. 256 IlQog tie n G. 259 av&oX&yoi edd.,<br />

sive hominibus medicas aut veneiicas<br />

quod vix de faZovopoig<br />

herbas quaerentibus intelligi possit. 262 TLuvx ITU yalrjg<br />

G, ncivc' ercel IK yahjg A. - 267 judtgovoptfVQ A errore. ~<br />

268 xcxl<br />

IpTiOQi'rjg re edd. 269 flvGegovg Gt]7tTcc%Te G, ^,v-<br />

GaQOvg 6?i7tTag TS A. Collate VI, 463 sq. patet hujuscemodi<br />

versum excidisse:<br />

v rs<br />

274 aO&iiotoxoiO G, uG&ftccTiKOio AK. 278 ctxgoig]<br />

v.' 284 xQctTOTtccyeig edd., xQcctOTthccyeig K ex em Lobeckii<br />

Parall. gramm. Gr. p. 288. - 285 %tevi f<br />

jg edd. ||<br />

o^OLTiv edd. 294 Kv&rj^tcfg] Kv&rjoi] edd. 296<br />

G. 298 Vnzlov G, i'xslov A. 299<br />

301 Post 6cd,TV(ji6vKg comma v. 302 fifrattotfp^O'gWag G.<br />

305 ^or^KTKTKL^ot^sovTeg (sic!)M, Mot^arw, afyoQeovteg G.<br />

307 xajcofujropsg v. 311 yeyoTtanag G. - 314 cutf^o-<br />

; edd. 320 degoegytag K, perperam. 322 QCO-<br />

G. 325 Ado-corvee G. ]] fyptGidopovg<br />

G. -<br />

329 Post defavvtii comma v. 333 McxQ^aQvyTi 6 O.KTIV<br />

or' av tisfatriipOQOg G. 334 Gshrivutr] G. 335<br />

edd. 343 ZmovvTtrjg G. 344 7<br />

SiJGovt; ,<br />

Kivo&uoMy G.-- 346 novr^Govxai edd. 351 oi/j<br />

G. - 352 fhiQcttHSstai G. 355 ecpOQ&Gi re TOVTOV G,<br />

ye rovrov A. -<br />

356 ije duavatrjs edd. 357<br />

pro ftor^A(Jag et 358 vice versa (iia^AaJag pro TTO^<strong>org</strong><br />

K. [| Ti;^t T' ttCftBttt (pveiGag edd. (,,MS. raGxoiayveiGcig").<br />

358 IIoQvag nul XQifiadag G, xoQvag re TQifiadctg<br />

T' A.<br />

363 OQ^S G, OQl&t A. 368 Ix^d/ijv] I'^-O-f^iv tj edd.<br />

369 ^ivTOxaw v. 371 #' om edd. - 373 nweovru G.<br />

376 Gvv re edd. 378 -Xp^ucmat G, ^oi^att scat A. 379<br />

[irivrig G. 380 TtAay^rov G. 381 EGGexcu xelv&v (,.Su-<br />

perscr. eGGer'' ^xe/vwv") G, I'tJT^i exelvcov A. 383 '/,] nctl<br />

G.<br />

A.<br />

385 ^x] ij G. reliovGi<br />

||<br />

386 gMX&Otf'lotfOg ?J<br />

to%eicu G, rfyleOoviJf ko%icti,<br />

G. 387 ^^rcai/] rot -a-viy-<br />

TCOI^ edd. - 388 ov] w edd. - 390 E"0tieT(xi, 6' ev yeve-<br />

O-Aatort * (,,*In MS. haec sunt ab manu secunda , quae erasis<br />

antiquioribus haec inscripsit") G, s'arut d' ev yevidlrfii et


XXII PRAEFATIQ. N<br />

in line Egtt&Qetv A sine ulla apertissimi defectus suspicione.<br />

391 "AQVIS edd. 397 vdcttiiv tfuTOQctg G. 398 rs om<br />

G. 401 Molgrjg edd. 408 ctv%rJ6G)0iv G, KV^GOVGLV A.<br />

1<br />

4J3 i5Ao G. 606 An potius


PRAEFATIO. XXIII<br />

TtEVTUKl XVQElUig XS Kdl STtXUKl, %aiVlG&VTgt 609<br />

NsiovGai G. 611 atyeivcovTe nal 1%&QCW G, cdyeivav<br />

ll&qu&v A, siQKTaow cdeyeivav majore quam opus erat molimine<br />

K. - 612 Ttd&og] yevog sine lacunae suspicione edd.,<br />

quae etiam ante ctnolrtyy add d\ - 614 &rjQopolov G. []<br />

xkaG'Q'EVTa G. Unde A ^rj^oftoQ o v &ava TOV (pcoolv xkaG&evTcc<br />

Pgctpsv si lacuna non cognita. - 615 yds G. 620 cog<br />

av coidicov rs^uvr] edd. -<br />

621 x<br />

eldcohav]<br />

rs dwrjlcw<br />

G, deiKrjkcov A. 625 sitcov G. 626 E vjJKi^oig aytiGi<br />

G, ev (leiQOig ayvtiGi A.<br />

In fine add G MAN&0&N02 AnOTEAESMATl-<br />

K&N BIBAI'ON 4.<br />

LIBER I. (V.)<br />

20 eraiQlGLV, yds huyvQaig G, ETaiQiGiv yds kacpVQtt A,<br />

zTKiQitiiv, yds kucpvQOig K ,,vocabulo insolenter ad captivas<br />

puellas traducto," quod jam non sufficere videbatur. 24<br />

rotGiv] Tovroig G. - 39 %Qco^c(Tog G, ^(MffiCTOg A. 41<br />

(JLOQOV ctlvbv OVK EKCpevyovGi, G, ^IOQOV alvov vTtencpEV'yovGt, A,<br />

(loiQccv d' ovx EKyevyovGi K majore quam opus erat molimine.<br />

44 KVTOLGLV] ctvdQEGGivt 47 XQCCTEOVG edd.<br />

54 O'^dovg G, oyftovg A. 60 aitxovr ?} kvgrjg evyvft^oio<br />

G.<br />

Idioov<br />

85<br />

edd.<br />

otV enl edd.<br />

91 T om edd.<br />

87 naQvyyoiGi edd.<br />

100 skcaoyoyoio edd.<br />

88<br />

106* T om edd. - 117 ftrj^v<br />

G. 120 dswov G. -<br />

123 17


XXIV PRAEFATIO.<br />

A lacuna non animadversa. .,<br />

- 180 TLct(pii}v G.<br />

\L\V\ KSV G. - 181 TVJV TCQCCE,IV E^OVGLV G. - 185 'GGOL<br />

G. - 188 inivw&adloiGi edd. 189 uwfflfciVTu edd.<br />

K. 192 Av-<br />

190 &v]QiGGi G. [] (5v?7(Q(Xt&vTEg G. 313 Ctdrj-<br />

QOEVTVTE G. 315 Consulto compilatori suas sordes reliqui,<br />

quamquam facile aut ploTOv faityEL aut ftavctTOv ^Afipft<br />

scribi potuit. 317 ctyxovEOVTK G. 321 KQOVOV G. -<br />

326 VTCOTQO^IOV G. - 327 Kvctvo%QOOio G. 333 X* IK<br />

G.<br />

|| uv%i]()OV6iv edd. 335 MctQTvg d' 7Ct TOVTO yzvi]ia.i<br />

f<br />

%ctl Ilvgosig , H<br />

[MiTyQ itQOTEQr] oi^ETcft Eig ixiSriv G, quod re-<br />

tinuit A, ego ex IV, 410 sq. redintegravi. 342 fSfsgivySiv<br />

G, OTEQEGELEV A. 345 rrjds] wvads edd. - 348 EVTV-<br />

ylg EK ysvsijg tGGETcu TOVTO dlpa edd., sed ,,MS. eGsns." G.<br />

352 EVTCQaxTOvg edd. 355 TtoAAcov xccxcov G. - 356 t'<br />

or^ci]<br />

$t G, -91<br />

$i A. 359 7rAo;vco^T G, sed ,,MS. Tch<br />

1 - -''. v^Tuv<br />

In fine add G: MANE'0&NOZ A^IIOTl<br />

AEZMATIK&TN A \ \<br />

BIBAI'ON IlEILdHP&TAl.<br />

LIBER V. (VI.)<br />

2 VJVQCXTO v. 3 T in edd. post OCGTQCOV legitur.<br />

H\ (5' a act G, ^ ^'<br />

a^>a A. 11<br />

ovqaviov %OQO/V edd. 8 |u


PBAEFATIO. XXV<br />

MvgiQHfi G. - 9 *<br />

(a<br />

^(toro] &tJMiov<br />

scriptum post 28 posuit. 32 GcpuiQcop ova] GcpcugcouaTd<br />

edd. - 35 Versus, qui post 34 excidit hujus consteliationis<br />

primus , initium Zsvg fuisse patet. 42 oV V 5 pro quo A<br />

lit}]v. et kevGsie ut alia consulto huic reliqui. 44 (J;/?/'uat<br />

ncdov] Gjr[iiuGiv v.lloc G. 50 rovrcov edd. 55 sq.<br />

sic in G leguntor:<br />

* *Pv%qog yaQ re nehi, rrjde Kgovoto<br />

el 6' cx^cpco 61 SQW J' ettl KEVTQOV<br />

hac addita nota: ,,Sic ordinavi, quum in MS. uno versu continue --<br />

retur, fyv%oo:; yctQ TS Ttelsi Tfjde Y.QQVOLO fiokj] xal TCi-yvvxai otyi-<br />

tiog, in secundo ponerentur haec: si 6' K(jup& difqw 6' tTtlxevrgov<br />

8%co6i,v. ut versus quinque pedum. ci<br />

Priora retinuit A, in altero<br />

versu si 6'<br />

a^(pa) drJQlv y' InlKSVzgov s%&6tv scribens.<br />

58 (Svvodot edd. 61 artoftalrtetat &Q(im G, daJiTtei vito<br />

&fQ(i,G) A. -<br />

63 ctGTQOLtii ccTtuGiv G.<br />

|| xaxoEQyog edd.<br />

65 svl<br />

fevlipSiv]<br />

v vijcGGiv (addito TS ante xal A) edd. , Iv<br />

o&velrpw K. Cfr. IV, 89. 162. 470. 521. - 67 ZiJAog G. || ey-<br />

Y,l)']6iag A. || avayKijv] uvli\v1 68 KlloTcgoGalla sine<br />

lacuna A. -<br />

71 E'g ytogiyv G. ova/7/g<br />

TS om G. -<br />

||<br />

72 cat?c]<br />

G. - 76 o-cctv<br />

d'] oY av G, snqv A. 77 O"'GGOV<br />

%G)V G. ||<br />

IsvGsi G, IEVGIJ A. 78 TtsksTcu navsLfjLSQog (,,Su-<br />

perscr. navr^SQog^ G, nsh^ i]s Travlfisgog A. 79 S7ti%dslg<br />

G, 7ti%&6lQ AK. ' 83 7tl<br />

TCEvQ-ifiov (,,MS. auth&ip> ov")<br />

G, HTM, TtivQ-ipov A. 86 IlccLOvrccg G. 90 H'ds (sed<br />

MS." et ,,superscr. si (5g") G, si $ A. 91 S^fiov]<br />

edd. 94 dvvctvisg edd. 96 mvvrol G. - 97


XXVI PKAEFATIO.<br />

d' om edd. |]<br />

fiy' UEIQOIISVOI] litiyuvQ^ivQi G, em<br />

aveTteiyopevoi K. 98 tyavGavrsg] cpvGavTEg edd. 99 unus<br />

versus in G legitur sic :<br />

QvqccvlcaGi fiolaig ag aGTEQEg i]l&ov lit<br />

sed hac addita nota:<br />

*<br />

Post hoc verbum in MS. ad-<br />

acpvw *,<br />

scribitur avilcc^civ^ quasi id his adnecti deberet."<br />

ovguviyGi<br />

yl&ov in ucpVM A. Cfr. Ill, 67 sq. 104 yekolovg K.<br />

Sed facile tale quid excidere poterat:<br />

Cfr. IV, 277. 105 ^EV supplet A. 107 ttOfici%mv<br />

XQVCplfMQV G. 112 Melons <br />

%sigov'<br />

fteiQcov edd. 124 Mlfivrjg aoxofiewr] SCCVLOV neg V.TCCOsv<br />

G. 128 ecpvaev] k'aaev G. In alia omnia<br />

abiens A OVTOL eccGiv Ttrw^oi, %EQvfjT(xi TakanelQioi yde x*<br />

133 deGyiofiQoyjovg G. || ftcdrjv] gcorjv v. 135<br />

G. |] nctyiawv edd. 139 ^yj\^<br />

, viat TOT;' enelvog G, a^fjLCfTi, Trjg<br />

T' ixEwog A. 140 A^^gsvoQ^lfog lav<br />

tttl TtkltkQlGl G. - 141 XCli TOVTfOV (i%Qt d<br />

EQCtGTCtg G, KCtl TOVTCOV UQ%Sl drj[lOV 'dvfJLEkrfilV CtQEtiTOg A.<br />

143 EQuGTctZg G. 146 GXOIVWV Ids isyocpoiTOv G, G%olvwv<br />

r]6' ^EQOcpoiTOv A. 147 TCTEQCQV G. 149 v.<br />

Evgoig<br />

151 'Av&g&rtfov dvvovGav OQav, on vavnlov (,,MS. vavrykov")<br />

vygr\v G, av&QCdTtGJV SEVOVG&V OQi pro Eitl %COQTJ A. 169 ETta-<br />

7<br />

V(X(pEQt]TC(l (JLET tJf/l/OtO G. - 170 - EfvfoypV dlQ%6(AEVOV<br />

G. - 171 oj&)i> v.<br />

Ttcokcav]<br />

172 Keel VEEGEL<br />

Gvpry edd.,<br />

sed nal'veeg EiGvQry M. 173 vtycd^aTi, ovGa G, vibcofiar''<br />

IOVGK A. 175 Zpipteft&'J} Ttfyvy avafictlvEL edd. Em<br />

i


PRAEFATIO. XXVII<br />

A. - 177 el d' "Agw v. || yvotyg OMQCOVVKTOV G. - 178<br />

tc om G. 181 svtupwtevovrct KEVTQCC G, eiti cpcokevcov KCCTK<br />

KevTQa AK. 182 T^v TCQU&V Zi]vl nul TOV KQOVOV VTCO-<br />

'<br />

vnoyeiov AK;<br />

yswv G, Trjv TtQrj'&v fyrr) v.u\ TOV KQOVOV 6V-9<br />

1<br />

rr/f Ilacplrjv T^gy xal etc. conjecerunt AR. Locum, de quo<br />

olim desperavi, omisso vocabulo male suppletum nunc probabiliter<br />

restituisse mihi videor: signa, in quibus centra habere di-<br />

citur Mars, accuratius indicanda fuenmt. Et cfr. supra 84.<br />

154. - 184 ccvwtg edd. - 185 avxo^avovg G. - 186<br />

itQOKcdovvTug] 6s nalovvTav edd. , Kuftelovxctg K. 188<br />

v7todii\)Lov v. Em A. 189 peGoVQctvlovGct G , quo servato<br />

alius -<br />

TvxyGi scripsisset. 190 GVV 8' w<br />

r)eM )<br />

(<br />

G GVV , y' HU(o mv A. - 191 wsoffrjxsTcti ictv&iiwg uvyQ<br />

G, VTtor^Et nivO'L^ov avdQU A, VTtoriJKSTcu ctt&ivog ctvr]Q K,<br />

pro quo nunc consuetum adjectivum reposui. 194 vog om<br />

G.<br />

|| vytfaarKi tevnov G, vyiGtarai, ctgyov AK; sed nunc sollemne<br />

.fulminei dentis 4<br />

epitheton retinere satius visum. 195<br />

H" yvamols ovv%e(S(fw kcupbv avoQv&v ogtoig G,<br />

yvtitjimoig ovv%866^ (ZVOQVGGST ogelov A. 198 (f<br />

G, avUetpQpsvvi A. - 199 edd. 200 IloUdxi<br />

fj&a#0a<br />

vj Ttruxjiv G, TtoMctKig ev xvcotist A. || ijf %a{jiaTi G, nal<br />

A. - 201 KlEivrjdov insQ^e G. || 6vv&ka[jiEVQv G, ovv&ka)-<br />

IIEVOV A. 203 TSKVCOV G , TEKVOVV A. || nedovi^'iov G.<br />

204 ag allriv aG^]iOv vj 'lonattriv edd. - 205 nctl om G,<br />

quo non suppleto (ArjTQVLiJGiv tivvfyt&v A. 207 yiccQXvg]<br />

(jiKVTig G. 209 tot Tiiuv ii\v\ pev Tttav G. 210 &si AK.<br />

yif-<br />

- 212 yds edd. -<br />

216 rslovtiav yvvcctlv TE<br />

Gvvsvva'C.ovGav G, relovGi, yvvaiQ GvvEwa&vGca A. 221<br />

jV VSVQOXOflOV EGcpiy^EVllV aXQHJtSriQQ) G , flOlQCtV VEVgOlpt?vl ^w-<br />

p?v G. 236 8* om edd. 237 E'%&QOvg EKmaGei, G,<br />

fy&QOtg ds 7tTco'$L A. 238 esi] agfa G. 239 y$acpcctg<br />

ETtEQsldETcti vtyoGs ytttv\


XXVIII PRAEFATIO.<br />

(,,MS. pkceTtTTj") XML r EVL q)G)G(p6$ov cd'&yEi G. - 2,V><br />

ot 9 tajivQV (,,MS. Ta^tAov") nai G, VMXI^QIXQ. nvkov wxi<br />

A. 257 IEQOV] {IVQIOV G. 259 Ttoyyvg<br />

G. 261 K' r/V G. ||<br />

(jLdT lovGctv A.<br />

ealdoL vfyw^ari ovaav G,<br />

262 Q QOVO^LOI'TE KQCCTE^ TOV<br />

ctvrog o fiyafievg G. 263 %aQiiGTcrtov vi&ui? eovra edd.<br />

267 cxTtgovorjTov] aTC,QQ(pidi]'cov \. 269 cpi^OTtQcc'y^ova<br />

edd. 271 (pvGLKOv G. 273 Tpocpcctg ?} ev Idietii (lehiG-<br />

Gcuc G, tQocpriGiv Iv ^dsfrfft fiehtiGcov A. 274 Gwodevoi,<br />

G. 275 EvTtvQog G. 277 ibi]


PRAEFATIO. XXIX<br />

Quae ego in his praeter accentus et interpunctionem simi-<br />

lesque minutias emandavi, haec sunt: 2 ayQafti'iy c (i. e. co-<br />

dex). 6 rtciiQtpLCoi'<br />

c. HuQaovfyctL sive TlaQavaioi, ,,de<br />

quibus Plutarchus et Stephanus Byzant." succurrunt Iriarti.<br />

7 c.<br />

ftQyY.wv - 10 Y*. dgveg wywyicci, V.QX. a. idsGxov c, ini-<br />

tio addi volebat iffi vtto Ir. Cur toyvytrig epitheto distinxerit<br />

quercum, disce ex Max. KUTCIQ%. 490. 11 fla&vdivijg re c. Imi-<br />

tatus est II. 195 pct&VQQsfaao jjisya G&ivog &xccvoio. 12<br />

9<br />

KVTOV c.<br />

4.%uixav c. 0% c. Olim cogitabam de ct%oi. . 15<br />

16 KcdyTidtev c, em. Ir. ; didovg d6u,ri &elv. c, Ai$. xctl dcofuetu<br />

&ELK male conj. Ir. -<br />

17 IvfMrj x vit Ofi^uafi c. Intelligit<br />

mare Mediterranean!: cfr. 8 et 11. 18 ffa&vvttovtov c.<br />

19 xgovtdov &og TQ.J yds re pvGvjs c, ante TQ. Ir. inseri volebat<br />

?;. Scribi etiam poterat fyl<br />

TS<br />

vvfttprjg.t 21 ritccmat<br />

c. - 22 hv^ev c, litiyjct Salmasius. - 24 tQirdiaq c,<br />

TQiiv.rog Salm. 25 ad oram codicis nostri exteriorem ex<br />

, :<br />

adverse versus adscripta sunt manu. qua caetera, variae lectiones,<br />

neinpe iGug pro cAce^fv, et lays pro t'tfa, ita ut is in hunc<br />

modum sit legendtis: Tag 6 vTtok. i'ffcxg cpcuvcov Ao;^ ftovQa).'"''<br />

IR. Non praetuli. 26 rag om. c, add. Ir. 31 tqitd-<br />

rctg c, tQiiutJ] Salm. 34 6s c c, zai *f| Salm. - 35 SQ-<br />

(.islcfg c; corr. Ir. Turn hand scio an scripserit (Da&hDV Tag<br />

imcf. - 37 c.<br />

litujjti 40 sqq. 7tt<br />

0TiAj$o>v ror? {.lol^ag<br />

Kcd dliux .<br />

y.VTtQig i/;a)j[iaTc


PRAEFATIO.<br />

Restat unus locus, in quo me ,,sero sapere" video, IV, 483,<br />

ubi elegantissimus auctor dubitari non potest quin &VQECOV<br />

scripserit, cum a compilatore I, 310 turpissimus soloecismus<br />

>v oftveiauv baud alienus videatur.<br />

Scripsi Turici die XVIII. mens. Maji. MDCCCLVIII.<br />

ARMINIUS KOE(


MANE9QNO2<br />

AIIOTEAE2MATIK&N<br />

MANETHO.<br />

BWAIA ES.


v TW |<br />

BIBAION B. [A.]<br />

TOVTG)<br />

A. Ile^l r'fjg deGewg rcov ev rrj GyaiQu KVK^COV<br />

vnv re nctl cccpavav xal uovog nctl ogl^ovrog nai<br />

v roig Kvxhoig rwv CXGTQODV re xccl ctsreQcav<br />

KO.I rc5v Aooov nvuhcov.<br />

B. Ti enatirog rcav eitrcc 7t\a.vY\t^v EV Idlco, ncd il iv<br />

aMorQia) Oixw (pcuv6[ivog anorehi.<br />

F. Tig enaGwv rnv ercra itlctvriitov ev ry avcttokri, v.ul<br />

rig Iv ry dvGsi dvva A.<br />

{ui,g.<br />

Ile^l rrjg (paGecog rcov % nXavrjrwVy nctl rt (lev exctGrog<br />

xcxl rl<br />

ccvrav rw ykicp GVVCQV ctTtorekei,<br />

rl de rrj Gekijvr] xccQ'' enaGryv rcav dvo qxx<br />

Ildvroxe<br />

re isue OKK<br />

d' ay r[A.t,&a pvQi av ovQavc)<br />

r sjtl VVKXI^ ta plv<br />

b al&v66ovr , cntitf o66ov VTC<br />

t d' avr afytytii, (pasivoptvoi<br />

xa<br />

VT aGeArivov %?] dgopov a<br />

xal tirjv d?] xa$ TCKVXK Si cii^Qos alsv<br />

WanAavs" iv %ca^>^, rfj dq XK TtQara<br />

A,XO{ISV Q.VXQ'hCrfozv (p 67tQlT}V SvtilV<br />

f<br />

va<br />

navy vjtb decx^ov xsQax&v rTV7tc3^i<br />

$ Tthiova GTtoQadqv ytcpOQr^iev v<br />

1*


MANEQ&N02 AIIOTEAEZMAT1K&N<br />

7t V X d' KQ Cf. 6 1 O S 0101 K<br />

15 Zadiaxov itka^ovrcu a[iip6iivoi xarcc xo6[iov<br />

xal dft'xifA', ovs cpvha pgorav ovopifvav a<br />

rcov yiV dr\ {isToiiKjd'e cpikri ^^vr^0o^i ccoidfj.<br />

9<br />

av dice [isGGov shfaaTKi, OVQCIVOV a<br />

20 05 7t$l nav yairjg re xal arQvyBTOv dia novrov<br />

K)Kcc diqvsxens diveviiEvos ovx<br />

Tov d dv a no ho i sfal<br />

OS [lV 7tl XQVEOOV BoQSG) ItVOiffiiV (XQ7]QK)S<br />

25 /Uog d' v diQ03 NOTOJ I<br />

xeirai VTtfox&ovios-) Nonog d' aid^os vit alav.<br />

Kvxhoi d' av 7toAAolxalK7tLQiroi,ovQavovl'6G)<br />

CCEL<br />

30 ro5i/ Se rs Jtavr&v sltil itav^o%oi svvla<br />

doiol flV TtQOTLOTtTOt, t^' 6 O<br />

ou d' alkou priTi yiSQoit&v TtQaniGiV rs<br />

'<br />

35 OS V&V yClQ 7tQG)TOS<br />

Kt,dt$ [iv k'atiiv td' iv


R1BA10N B. [A.]<br />

xogvcprjg '<br />

avroi y ^ikv cc^<br />

45 ff/U^Aofg K%QIS Noxiov xiy,vov6i jro'Aoto ,<br />

OS I&V vl ftVYlTQLtil XaAoV[JiVOg OQ&OV ?<br />

O Q I CO V ,<br />

og ds MsarjppQivos vtyov axQTf}$<br />

ayupoxsgoi d CCQK rofys noK&v SVTOG&SV j-o<br />

SVTOS tegyWtiW dlVY]V<br />

50 Oids per ev it^ani^^^iv apicpQade'ss TSJid<br />

yv&Gati&ai, xvxhoi. TOVS d' av& STEQOVS xccl VTt 066015<br />

dQXOtl& , VT CCV<br />

XOV [lV 160V XQOlfj A,VXG3 (paiVOVTK ytt<br />

tov d' vito 8iKloi6i dvcodwa<br />

55 Zadia<br />

OVQKVOV<br />

KCil {LOVVOV TtVKlVlfilV Vl<br />

ovvXv ov ZGJOV [ioo(pai$ oAxoig rs y>aivot$<br />

60 Ovd [lV OV<br />

65<br />

, ra7tQ ccvros axzigriq cdlv a<br />

6xQO(paki'yyi, itsol %&6va diav &M<br />

i] pay dy TOV \iiv rs BoQiqiov a<br />

OMB 01 aXOOT(XTOl6l, (pttsvOVTKl 7tQ TtQ66iV '<br />

J' av XVX^OLO {i6rjv dice %IQK Bodrov<br />

70 axQOTccTrjS tyavi 6Tovov -9<br />

, 1<br />

'<br />

xccl x^,i,vi]g


6 MANE0&N02 ATLOTEAEEMATIK&JS1<br />

KaQxCvov oydodrrjg noiQqg em<br />

75 xelrai de r^yc3v peGGov dia KKQXIVQV avrov 9<br />

re jrpojr^z/'Oqptog , fiQiugov r O


B1BAION B. [A.]<br />

re veog, ryv axgorrytii,<br />

105 TlTf\kiQV ev xoQvcpatg TZaAAffg && av aOroKGiv AgyM.<br />

ol de dva, rohteg re no<br />

ts eGra6i, xal axkivees yteol<br />

rik&v alsl STtayaiievoi,<br />

o s p v yccy & vtyov ftoov OVQKVOV eGxri<br />

110 rj&yv olpov Ka<br />

xal ftwYiroiGiv ayov ^KL^V kvGiv sgycov *<br />

o de 7tQi


8 MANEQ&NOS AHOTEAE2MAT1K&N<br />

135 IlaQ&evos av&Q&it&v yeveqv ito&eovGa<br />

Xri^ai #' 5 as xal I<br />

drj {lerecprjiiiGav avegeg<br />

xal Zvybv exbqiGtiav, ertelreravvvft' exd<br />

olai 7tQ TtAaGri'yyes eni vyov e<br />

ExoQJtiOs i<br />

(peidohovg ? ft^d' OG&OV ewv xredvov oQeyovras,<br />

160 faedavov GrsQvoiGi, voov xal avaAxiv e%ovra$,<br />

a{i(pl e&ev nohv pelov y cpv TteAag oat cpQOvovvrag ,<br />

'<br />

ev d' eyyoig itgrfeei O1<br />

eregoig v:<br />

0(5(5a de r exreAe'ovGiv , aitoxQVTtrei,<br />

aM<strong>org</strong>tcov, \<br />

01<br />

v.ai GyiGiv al'6%e' eda-<br />

xav. 165


BIBAION B. [A.]<br />

166 iv d' "A Q co s oQioiGiv r\ v<br />

v<br />

vs TCKvrctQ fists *? cpgftil<br />

vs, ov TJTOQ a si fikditrovxag<br />

170 akk ><br />

"AQ'Yiq OLKOiGi KQOVOV<br />

agog 8' sti &CCQGKJ.SOVS rs xal smotyovs xal a<br />

XQrfeiv xttvtofojv re xal sgycc rs&ovvrccs aiio<br />

oltii T (poQat]ao6iv asl rlxp&Q sjtayovTas*<br />

175 (p&siQSi de XA.JJQOV itccTQaiov , yds ffwcttpov<br />

180 t<br />

TtKVTUS XQVSQGJ %6cpG) KflpUUt<br />

Kgovog Ttugscbv ol'xois rccds<br />

179 XQOS d' TL dvGyayiCriv xal dv6rxvirjv ^iK^J o<br />

181 GTiQcus yd* aroKoiGi Gvvantav dvGxkea<br />

nod %iQ6


10 MANE&N02 AI10TEAE2MATIK&N<br />

ual ds xal aQaqrcov [ivGras ts^Tc5v 9 [ICCXCCQOV XE<br />

oGxovras 5 6V EV /3i(M,ois %ttQ


g x TtaGrjs<br />

BIBAION B. [A.] 11<br />

yd' %altoi$<br />

'<br />

O1<br />

rjyrjTTJQas , 01 v %ifa66iv s<br />

iv tsgoiGiv axovopsvoi vno<br />

230 ^evyvv^Evovgr avdycov [iS'ya<br />

av axo xvdqsvTsg id' o<br />

xal Kv&sQq^ios ot'xG) % tlv oQi<br />

iv ttoMstitii %al iv<br />

xa pQriGi ititQiG TS<br />

235 GTSyLlLKtii TS %QV60V, TOVg<br />


12 MANE9&NOS AUOTEAEZMAT1K&N<br />

260 ViXa x Iftvveiv xal<br />

x even alsl<br />

xvdog x Kara itxofoag piy %ov


E1EAION B. [A.]<br />

6rA?j(?, xccl dri^a Avygfj TTSQL yaGrgl<br />

qroi nglv yoviiirjs OQTJS fiQty<br />

r} v%QG*v iv yaGrgl fts'A^ TepvovG<br />

291 val priv xal UVQOSIS ol'xois &oov '<br />

295<br />

uTto TEXVOV.<br />

ovhoa [irjdoiisvovs Gregv&v SVTQG&SV s&rjxev,<br />

xal<br />

s $<br />

dl<br />

T<br />

T<br />

iv<br />

dl<br />

300 xal rtaid&v rcovd'<br />

'<br />

hi xal<br />

305<br />

Ol)d<br />

d xal<br />

nkovxoio<br />

l XTCCVG)V<br />

asl<br />

eiv a<br />

s xal vsfaea nvxva xovr$<br />

VOG)<br />

avrovs<br />

o drj yiak a%Qri<br />

) ccvdyocpovfjag,<br />

navycc SiSovtiiv , a %$lo$<br />

310<br />

av<br />

en,<br />

VXv jtdvTcov Kal vn<br />

KQTO{itcus rs Kara<br />

fpL<br />

iv d' (<br />

EQ ^ o v ^co<br />

315 XELVOV d' ivxa drj&a XQIGELS xal vefae'<br />

oig 7ti xvdog &r]XEv id' SVK^EK itokkaxi<br />

Oi<br />

v<br />

13<br />

rj7tQ07ivr$,<br />

Kravwv rs '


14 MANEQ&NOZ ATIOTEAEZMATIKttN<br />

ccs td' ait avxov nkovxov E%OVTE$'<br />

TSV%i ft* V XQVXQlGl XOTtQiS Xttkr]<br />

320 cao'A' vnb %QOifj<br />

tois co'ot EOIXOTCC , TOVS [LEV Etp far&v<br />

iGiv yds %Q(5v t%vrm,a.6iv apcpt rs tte<br />

324 TOV$ ds xul v ygacpiois ^,^05<br />

323 dfixvvvTccs Ttavrov [logcpas &'YIQ&V TE xal a<br />

325 aMov$ d' v ^<br />

ov$ dl xai ccv&oficccpovs aMav ano ^<br />

d' CCVT oi'xotfi (par fig xaArjs Kv&e Qft<br />

V Xdl TlOllVOV<br />

330 [lOQCprj $ iiieQQWtas Id* al^v'ka<br />

v av<br />

335 aAAofg oQ^d-^iov prjTaQ[iova$<br />

7Caidvras d 1<br />

aMnv roiav fpycov av(pi>]VEV,<br />

COX/ oAfol/ EVXTECIVOV Xvd6 T<br />

340 oitii T E<br />

'<br />

V<br />

navx<br />

ts '<br />

rfiiv 7tiq>Qo6vvri


BIBAION B. [A.]<br />

350 xal nsydfavs fla


16 MANE@&N02 AUOTEAE2MATIKSIN<br />

xal d' eregois rgonixots woi,s Ttu<br />

%Qv6ocpar}S d E^^^s ev KaQKivcp a<br />

o^ets EV TtQttTtideGGi) voriiiovag ,<br />

385 /3ot>A/J TSQitopsvovs [IIJT epiteda<br />

d' avTog plv vnlg<br />

"<br />

fllOTG) XKl VTttlQOJQV SVftOQ %OVTtt<br />

avrs<br />

390 ifv sti&Aav xoG^rac vn ccGrg&v<br />

uittd e^dei.<br />

tag d' (rrco Hat Myvrj eov dopov apcpifiefi(<br />

TtQrfeiKS av&Qnitois Kyadas xal xvdos ona^ei '<br />

fa de p e


6<br />

BIBAION B. [A.] 17<br />

s xal<br />

415 ctvrav ds xxi](5iv (jLivv&et, olxov x nax$


18 MANE0&N02 AIIOTEAEZMATIK&N<br />

vg yds votiovg itttQ%ei,<br />

Givetiiv re<br />

avrovg d* ajtQoxortovg xcd dei[iaAeovg itegl<br />

445 evtiivdag TS rl&ri


BIBAION B. [A] 19<br />

i6a dl Hal GvvLQVtiri ccTtOQQeCovtf ditbovQOV.<br />

s t de x aitOQQsiri plv ait "Agsos, slxa


20 MANEQ&NOZ<br />

500 avTa 'HfAtoi; XKI'QSI r$0%dov&a<br />

ToY<br />

BIBAION T. [B.]<br />

'Ev tea / j3ij3AtK) yritiiv<br />

A. *Tl aitorElei MttOTog twv eitra<br />

Idlco oi'xw %al ev nuvrl TCOV aojv r^tcov<br />

ftoVog VQi6x6(A,8voc; ev Idiw [lev-coi oi'xa.<br />

B. Tl aTtOTshi, j/]vUu evoc ^O<br />

V K8VTOV UfiVOq &8(OQ<br />

nov<br />

TOV ncd K<br />

6i,Vj eccvrovg<br />

F. Tl ctTtorelovGiv oi<br />

A. Ti ccTtOTeksiTcti,<br />

r<br />

Hliov %cc evrjg cavioig<br />

ev<br />

ereyog 7t TOV<br />

TO TCdi^ Ctvd-Cd-<br />

., KCCV STtl<br />

EVQ&CO-<br />

slg 6e xatco cov.<br />

jj xui<br />

T^o^fVaw, TOV IJLEV iv UQGeviKoZg TtQOGqjogcog TTJ<br />

cpvGEi) rijg 6s EV cooig ^ksdiv EVQLaKOpEwrjg , rj TO<br />

a.va.na.'kiv, v\ '/ML afKporeycdv EV aQQSffiv, ty xal a^itpo-<br />

TEQCOV kv Q"}]l6iv, nal xi fjiEV Eitl ctvdgog 5 TI tie 7tl<br />

TCCVTCK ctitoTEkei.<br />

yvvaiKog<br />

E. HE^I XQOVCOV 00%, nctl nag (AEV TOVTOVQ Icpodswlov<br />

61 r){iQag , nag 6s vv%Tog %ul TCOTE (JIEV aito<br />

TtOTE 6s (XCp STEQCOV TOVTOVg<br />

f<br />

'O


BIBAION F. [B.] 21<br />

'<br />

a K A q A co v #' o6a t> TT<br />

dpeatfii/ KXTIV 66 iv to<br />

Xal XVT QOIS It l6V QB66 IV fJtfft/fo/focjr<br />

ply QVV 3>aiv&v vitsQ G) QovopOLO<br />

ITQCOTOTOXOVS ual XQCoroTpocpovs<br />

10 TJ %al adckysiovs TCQOTSQOVC; diok66V<br />

texv&v d' avr o/Ur^p Tt&sTai, (ttorov rs<br />

oi'XOldlV G)V '<br />

T KUl jO^OCO /o^f^CO t<br />

15 xal Xqlats KQLG xs 9 TOT avQs<br />

T<br />

VT UV ^' iv I 6 I V<br />

20 VXTai>OV S , ^O^Ol6iV taiVO^iivOVS 6


22 MANE6&N02 AIIOTEAEZMATIK&N<br />

XCLVXK ds x XXk6i peti ov ovgavov d<br />

xv%&v Aaav ijyijvoQCtG dvdgas.<br />

dvvav d' svxxsdvovs, oAoog ds xinvoiGiv xv%&ri'<br />

40 ftditxsi yccg xsdvdg x aA,6%ovs jtatddg x a*<br />

EV X Q 7C i K I S d 9<br />

xe<br />

LG)& X^iV Xttl TtK^LTtCCV KXKVQV<br />

xrjdsox&v fiioxov, nai x so&Aa KcmQiGiv SJIL^SV'<br />

'<br />

7tt XVI<br />

45 ttdvTcov YKQ t PQOTOVS ISi&v nim<br />

ds Kayos XVov$<br />

'<br />

si ys 6vv'HhC(p rods KVTQQV odfvoi,'<br />

rj ftiorov xccl xvdog ond&i,.<br />

50 &KQ6a&ov$ >', JtOTS d' ccv XQattfaiv [idkcc dsivovc;.<br />

dvvav d' avr atysGGi, PQOTOVS arais rs<br />

6vkri6v T okfioV) PIOTOV x aviffY\v<br />

V d' CiQ V7tO%& OVIG) KVXQG) GVVZGlV t<br />

X V &OVlottfl Xttl V<br />

55 xQav^iaxa d' allv sdnxw , Ids<br />

x iitay<br />

$ xzxvav ds<br />

ov 7t$ vl iLyaQOi


B1BAION r. [B.] 23<br />

uits CPQOVQOVS<br />

65 sv&rjXTOv q)OQovTa$ ov<br />

ev Ttoletiiv drflWUSt T<br />

d* sGcpqAsv sg OVQCCVOV aiitvv<br />

s (paras itoxl TKQTKQOV fego<br />

aQ (pvyddas (piM<br />

70 ^j Joijg ajta[iQ()S (pifayq KQVOSVTL (jidi^QG) 5<br />

llV XKT8VSV6SV V<br />

d' a si Kv&S xaAo<br />

cccpvsiovs piOTC) xal ayaxAsas fl 8vl<br />

75 uvSaCvsi ds TBXOVGKV ayav T aytd<br />

Kal ds yisGovQavsovGa rud' sgdei, agog<br />

, iv de d6{<br />

xal d yvvaiKsioiGiv 7t itgyoig drj&axis avdgctg<br />

80 WQVIS') co nctl %Qq{iaT Ids niritiiv IIOQW oA/3oi>.<br />

ag nctl %riQo6vvaq, Ttorl yisv TS<br />

iv %sivfl noGiav, Tcotl d' av peyttQQttfiv ZOVTMV.<br />

ds xccl<br />

%al d' TL xal dvvovtia xaxr] 7tgl &SKTQK yv<br />

85 jjj yuQ urto&v'yvvGi, Gvvvvov , jj<br />

dax ako%ovg, w<br />

90<br />

xal d' avtovg (pr<br />

f<br />

, x g ccsixs'a frrpcaro Kv<br />

T bsha&ov oniTtevovGi<br />

xal ^oAA^g Gocpfys 7tU6xoQa$


m xal TtQodarjvat, em<br />

[isMovrcov dwpfjtfaro, xaC & e<br />

iv tpqfi'fltfiv oveiQatii &\ a


BIRAION r. [B.] 25<br />

r^v KKTK yaiav a^coo^evovg dapa n'ka&i.<br />

a vvxxog {ilv aQiGrr) favyfhi ,<br />

125 evnksiriv itQq&is r aya&KS psgoiiav<br />

i d 6 & hodoxai \JLIV<br />

Iv d' a^ V7to%&ovicp xevtQG) ccya&ovs ^LBV<br />

OQ<br />

rj (pv dareiQa TS<br />

%al a<br />

SVT* KV<br />

130 JtoAAttJa XKl 7tTG36LS OQOCpOV JfKTK KQKTOS IfpY^SV.<br />

******<br />

Tad'<br />

vavxa<br />

03 QOVOp 0V ^V V7tQ 0CCLVG)l>^<br />

135<br />

140<br />

CC & O V $<br />

t dvvav<br />

l XQOVOV klTtKQOV Xal yfJQCCS V oA/305.<br />

v xovroig xaxwavriov G)QOVO^LOVVXO<br />

g Keel TCohiolo KQQ vov d vvovxos ivavxcc ,<br />

VX KV $' V.VXtl ttlVG)V V)l,S X<br />

xal v X<br />

naxa d&yLCixa ksuxgov '


26 MANE&&N02 AIIOTEAEZMATIKSIN<br />

145 si $' >' KVSQ%OIHS'VOV "A$so$ f&aiv&v rtali<br />

ha ysivopsvois cpaivovtii XKT ofaov.<br />

'rjs d' OICOT av K$6vo COQO<br />

ov [lovov aivoya^iGi xal dv0x&se$ ivs%<br />

aM? ti xal Ttavegsg itaudcw sg TC<br />

'<br />

150 yivovTKi GTSIQCCS yag ij co^LoroKovg<br />

S ^cc^a^iovs El'QvGGKV) ^d' ai'6%sa Ttokka<br />

si ds xal iv r Q o TC i K o 16 1 v SOL g w o i s xccTe'vavza ,<br />

ov%l ILOVOV TtivccQKLS Khoftois y<br />

AA' avrol ngrj^sis KV&SQTJS ayanqtiav a&<br />

155 LK^K d' avrsAAovGa itahv Tovroiq Kv &SQ s IK,<br />

si d' r<br />

EQ[iiis dvvytii KQOVOV<br />

vtsv&sa yswoiievoiGi, TB^SL 8stAotg jti TS'XVOIS-<br />

160 S[i7taA.i d* si ZJTikfittv [isv avQ%<br />

dvvoi,<br />

vsixeu Hal XQiGiKQ, yQKTtrav %agiv v] ^ff/T alv&v<br />

sgyav iGyQvGiv , &&rjv d' 7tl roiGiv sxkriGav.<br />

Zqvo$ d' "<br />

aQovoinovvroS) iit^v<br />

ov% opahbv ftiotov daxKV '<br />

165 vtyov,, KvdaM[iov$ re xal a(pvi,o<br />

Ttors yilv yctQ<br />

d sticprjhccv KTBKVWV T aito Tta<br />

STta<br />

tavza ds, n^v dvvriGi, itaUv Zsvg G>QOVO-<br />

[l V V X S<br />

sjcl rt&sov OVVSXK


BIBA10N F. [B.] 27<br />

170 daxQva KUI GTova%a$


28 MANE&&N02 ATIOTEAESMATIK&N<br />

ccvfrig en a/Ma ^ela^Qcc xal alkovg i\l$Qv opevvovt<br />

200 TToAAa'ja d' ai>To%()l 6cpTQG>v<br />

a30t 6' VTQ07llX<br />

ravra ds xcclllacpiq TSV%SI, nakiv w<br />

sm' av"AQr}s dvvy, JtheoGiv d' f'rt xctl GV vo%f]Gii<br />

eiQKrfi


d* oV itavThAovTg ?? aM<br />

EIEAION F. [B.] 29<br />

'<br />

TO,<br />

230 xavTcc ply ovv ovx KV rig $<br />

250<br />

7} %al o [lov fiaiv my, diVK T arag<br />

xal Ttzviriv dvtidAvxrov ay si dikot


30 MANE0&N02 AIIOTEAEZWATIKSIN<br />

**<br />

256 KV{ia6i,v<br />

258 T VTCO<br />

**<br />

9 Jj iv e) XQVOEVTI,<br />

tj iv X^Q^V<br />


B1BAION F. [B.]<br />

285 r^v d' CCQK xaHlv^osvc itnia,QrvQKrol6d'<br />

q oys xal Mijvrjv, evvov%ov$ Tcd<br />

xcd<br />

t ds (Sway Qaiv&v yAta<br />

Gv[i(pa)vog xand&v Avtirj xaxosQ'ysa Awftyv.<br />

290 xccl ds duxctg x sr guy CM/OS EMV XQ.fata$ x sitin spit si,<br />

xal itiva^v ^aGiTf\v rs figorots STts&Qfyaro %afor]v.<br />

rcog d' aga xal dice per got,. KTCCQ %KIQOV 61, TQL-<br />

d* v TOVToiGiv ael<br />

xai /3i($2.G)v KQVcpi[iG)v \iu)C<br />

295 Zsvg d' "Ags'C ^w^v plv tcov odov<br />

xal 3t%c)v, 7tOT d' av {ifycc<br />

vqcov rs xal<br />

ft d* KQK {ir] ita.yi'Jtav [lOiQtis Kya&ii Ttv%oiv,<br />

300 AA' aGxriQ hfyco&i v^GGr<br />

q xal ajtoxMvcoGiv vit avydg<br />

Gvv roiois av8Q66iv dd GTQcoycovTai, vri avrots<br />

0tQy6(lVOt, CplAirjGlV) V7tlQO%OV<br />

7tKVT$ d' VXTCiVOl Xttl CC7tlQlTO<br />

305 [isfova d 7<br />

(3&^d didovtiiv, Inriv r stQayavoi<br />

fiiorov dia[iTQoi ovrs<br />

ItVKVQV<br />

%ov6 , orl pev 7tviv\v, OT d' ohfio<br />

310 fvxrxrov t li&tW v


32 MANES&N02 AIIOTEAESMATIKSIN<br />

%ul ds KOL vxKViri Gyiv<br />

nal 6' ahhccig TtQog ZTJV' sxi t, {iccgrv Qiyti tad'<br />

315 HxlK$Qvxi Gvvcw d tog<br />

x V7tavx6Giv OQCJV &oov<br />

x<br />


BIBAION T. [J3J 33<br />

xal d6[iov jH-aTttvrjg xsvsov fiiorov a.vzq)V\vv '<br />

dri&dm xal dsdpovg SftdyovG<br />

AA TQ uyovoi ovrg fyeygovccs i<br />

345 xal TCVKivctlg itQa,7tid66iv foafaipa<br />

(<br />

d' . Eoia^g xcd<br />

350 TtQog d 1<br />

o d 6 v pa,<br />

oAoottiiv sri soi<br />

dl<br />

w xal (piMrjv aya^r^v II\JLY\V T svl dy<br />

Ti<br />

Jf<br />

i d X kv' en J&mlii'rKnn<br />

[ISV V , d"YlkvXQOl6l M -<br />

Y\<br />

MANETHO.<br />

ad xal<br />

f folding xal ycQ<br />

i ds T' iv (XQ6viKots apcpG) xhvra<br />

.


34<br />

370<br />

375 avrol d' cwro'<br />

380<br />

'<br />

AJIOTEAE2MATIK&N<br />

o66ov<br />

d ai) Mrjvrjv ^ev v<br />

QG) 6s<br />

'Hefoov, xoldiv d' CCQK ngr<br />

TtQKTClGLV, filOTG) d' Vl TCa<br />

irjs ual cchr}tvo$<br />

VOG><br />

el d' 7tl &r)A,vtQT] y&vti&fai dvo cpcctta<br />

a Q (5 (5 1 v v &oi,s, TJ d' av fitf A<br />

385 8lV?l T KQV$Yl X Jt^i TtQCtTtldeGGi X<br />

O7t7cox d' ovv Gekdav xoioi$ fyj<br />

Kttl 00VQOS TtVQOBlS Kttl<br />

TS vKo$<br />

UQ6 6 I 8 l,Xr}A.Ol6 IV 7t^^CCC3X^ OQCpVTO<br />

%al ,G)OV agog rolg apti v Jtskoi<br />

390 %s cpvGioq ^yovOi , Ttaocc le%l


BIB^ilON r. [B.] 35<br />

400 (tytiaT avayxatov %Qtos , eacpa vvv<br />

'<br />


36 MANE0&NOS ATLOTEAEZMAT1K&N<br />

eats 7tvot,rjg<br />

itaticcv d' avr acpetiiv Tthevgrj TSTgdyavos OQ%<br />

rovro PQOT&V rehos evade<br />

BIBAION S.<br />

A. IlsQl TQOcprjg %al aTQOCplag<br />

B. TIsQi yapov.<br />

r. IIsQl rexvav yovjjg.<br />

A. IleQl GXSIQOJV %ccl aGneQfjicov.<br />

E. Ile^l Ttkri&ovg rmvcov ^ %


BJBAION g. [P.] 37<br />

TKvav y sverjs, GivssGG C is toiGiv e<br />

V7t<br />

xal T%vag [iskitoiT ids Ttgrj^iagy egya & oitota<br />

15 K6TQS KV&QGJitOLtii dvrjTta&eeGGi, vsyiOvGiV)<br />

yd' wg GcpaMoiievoi, TCO^V^Q^OVOS ex /3toroto<br />

avQ$ sv Ttsv iri rs Hal ahystii<br />

nal dpaav oititas n$ s<br />

KSLVOLS [iev drj vtg&xa Tgocpfjs<br />

(pti 6 IV<br />

20 AltiK xaxri , roitiTtlg T aito<br />

xal


38 MANEQ&N02 ATIOTEAESMATIKSIN<br />

drj roO<br />

'<br />

1<br />

vit G)dw


75<br />

'<br />

BIBAION g. [P.] 39<br />

dxxlGiv t&aCvwv xaxwavxia<br />

rQC3&V O.VG) XBVXQOV<br />

$ XOGGQV $i


40 MANE0&N02 AI10TEAE2MATIK&N<br />

Mqvrjv re xal<br />

?} XEVTQMV XCtrOTtlG&EV ilt (XllCpOTEQ'flGlV EOVTGJV<br />

105 f&aivovros xa.l"AgTfiOQ^ aitoGrQocpov CC<br />

fiatvovtav GsAdav XE xccl w'p^g , rj tf soltiiv<br />


130 YIXOL<br />

B1BAION g. fr.] 41<br />

it ovTidavatg ijj uvafya<br />

tf qfaxfytit, veaig q itayyv<br />

iv d' av quhoTrjta yd^ov<br />

itiGiiv rs<br />

] 35 SVT av an ccKxivcav"A QSOS nohiov rs K QQVOLO<br />

vit<br />

^Qyi^iv<br />

avxv\<br />

V V7CSQ XVTQOV<br />

d' avr oAoog f&aiv&v<br />

d 3<br />

V7t av<br />

ayavrfiw<br />

rs KKiAr xa<br />

XCCTVttVTCC<br />

itivaQoto rfyovg ^vvrjg x aitb<br />

6Ti]6avT$ ayovr g daiiara<br />

Ttokv >[ivr]6Ti]0 'iv asl TIOVG' a.k6%<br />

d dvo [iv (par a fi(?ov jdtVotf' ait<br />

jtov<br />

a%tat, aMoTQiav cpOTav ayvtira<br />

aTto<br />

150 Kal TtdrQrjs aito r^Aov 6fto5g ueivri piQTv


42 MANE0&N02 AI10TEAE2MATIK&N<br />

160 val pr^v ncti KQQVOV<br />

avrs xav-<br />

vx av iv ofaoitiw Kv&s<br />

QS ice<br />

6vv Z v\ v i , KQOVOV XKTOTCIG&SV lovrog ,<br />

CCVTOV<br />

d' &OVQOS


BIBA10N .<br />

r<br />

43<br />

Zsvg $ xal Egpstris {isGGov Kara xevrgov<br />

OVTS<br />


44 MANE0QN02 AT10TEAE2MAT1K&N<br />

215 aFev opoqiQOCivvrjGiv iaivovr a^<br />

daiyiovi d' r^v %aleTtip<br />

Kiev araG&ttkfytii yvvr\ a<br />

ovdlv oiti&iievri ke%eav ftetiyLtiv re<br />

ravra d' ay ex Ttotii&v xele&ei<br />

220 evre SekYivah] aAo^otg ev daipovi kwyQa<br />

aivrirai '<br />

di%a yag voov ailv<br />

a yag ovng Ttavra dvvrjGsrai,, otitia<br />

cpaivovtiiv -frool aGregss,<br />

T nal eya rye^a STeQqv XKT atagxov<br />

225 a[icpl xeuv ov y evrj$ evenov, j\vt atizegss ctlel<br />

drj %^OVLG) re ual Kinvrara ite^l u<br />

atir eyas ev syyovs (pares fte^cccsrccg e%ov6iv ,<br />

oide rexvnv roGG&v Ttareges ftiorc<br />

230 QTtTtoGoi ev rolGi Jcootg<br />

ij xevrgois rovroLGi (pegovG<br />

natdccg d' eG&lodorai Kevrg&v xal oTtititf iiti<br />

ovreg<br />

ddixav ccel diGGovs , evr civ aoi6i dtaw^otg<br />

fpaCvcovrai. Tirav de nal "Agyg evr av<br />

235 rovroifSiv uevrgois , rexeav ctTto<br />

e^o^a d' el K aycc&ot titpiv a^ia^rvQoi cctireges<br />

&S d' avr&s KKro<br />

ye & vitojftovtcp ^ a ivcov ncd<br />

v


si d '<br />

EIBA10N .<br />

)<br />

[P.]<br />

vtaCd&v yvsj\v TOT<br />

STL xal UvQosig H a (ptqv aKxZGw<br />

245 coyiOToxois codtGi yovriv SQQaiGav<br />

si ds [JiSGovQccviG)<br />

o>G) xsvsG)<br />

Titav xal IIvQosig apepa xttxcawS&sv<br />

asl Tsv%ov6i, dopov yAvxsQCQV ajco TSXV&V.<br />

45<br />

ds ZtCkfiovri xal 'Hskicp apa Mqvrjv<br />

250 sv JCOGJ i6%ov6i psGovQavsovTi dtO'cofto) ,<br />

vqdvo$ si'Ga) GTtSQpa yovriq didvpoio kafiovto.<br />

SL ds dvtilvtiskaeGGiv opov itv.Kiv aGTsgss<br />

xcdol, id' sv Jcaotg diGGois nagsovTSS<br />

HOI ds xal cogovopoc; ,COG) (paivoiTO<br />

255 Typos adshysiol Ttaidos dldv[ioi,<br />

SL ds TtokvGttEioiGiv oov cooiGiv snstsv<br />

GCCVTO.<br />

ol d oAoot, xijv daGi yovrjv TSXSOV<br />

t] itakiv dip cccpsAovT tj O.VKQGLK<br />

&SVTO TOXSVGIV.<br />

260 '^9?t ys iiqv TSXSCOV y svsrjs afa$ '<br />

xa K ccjto TG)vds y TK drj ^.iitQv , KMK<br />

oGGovs [{isQTrjg<br />

Ttaid ov<br />

oGGa$


46 MANE&&N02 AIIOTEAE2MATIK&N<br />

as d' avTCog, Krp> KvitQig svl KQOVOV<br />

odsvr],<br />

6vv ds KQOVM II v $6 sis xsivqs dofiov a<br />

f<br />

Eg {iqs ds o5oi> xarejffl KQOVOV yds<br />

275 svvideg oi paha roi XSKEOV ayovoi TS<br />

val v xal Uiikov EVT'<br />

,<br />

TW d' oAoog ' ' -


BIBA10N g. [P.] 47<br />

300 oGGcag $' avxs yvvaiglv "4 Q q s


48 MANEQ&NOS 4IIOTEAE2MATIK&]y<br />

05 ftev yccQ


B1BAION .<br />

XX(X,V03V<br />

[r.]<br />

xal ds Kcd v TQOitixotg ^ilv erjg TCKXQTJS dirtovxccg<br />

360 %QYinax' Ids %vvbv Tclovxov' GxQoi


50 MANE0&N02 AUOTEAEEMATIK&N<br />

xqxovxas QSI xal<br />

6r)[iaTo$<br />

'<br />

6v x xal K<br />

i ds X xolGi, KOI 'Hs A i o g tivvs<br />

390 atitiorzQas iLccAsgoto HVQOS<br />

tes id'<br />

% s^shxovTes STL t,eiovxa GL<br />

1 d' KQK Xal


4J 5 V {LEV XSXQait6d6


52 MANE0&N02 AIIOTEAE2MATIK&N<br />

t v


BIBAION g. [P.] 53<br />

475 ?j ^id'yoi ctQQrpoiGi, &ovg xaAeovtss aoidatg.<br />

si d' f<br />

EQ[iijg [isv ogoig Zqvog itiKoi^<br />

, Id' aAhfaovg yiMaig aKxl6t,v OQGJSV,<br />

[ivdcov Gocpfytii TS itayiitav CC<br />

480 cog ds xat, v\v aQqg p^v %<br />

485 i<br />

7tavTM.r] Ha


54 MANEQ&NOZ AI10TEAE2MATIK&1SI<br />

505 tfAAijAoov KvTtQiq TS xal svcps'y'yrjs &oos P<br />

av&wv ?? xi&agrjs tj aoidfi SVQV&IIOIO<br />

q xal oQ%r}&iiov flr]TaQ[iovas i'dgias ovrag<br />

510 fcfv in svQVftO<br />

(<br />

si de&' o$oi$<br />

rs<br />

E()[jiov Tirav, avTosft' ap' susivc* iVG)<br />

s&AqTrjQas tv,EV.<br />

Gvvrj<br />

r^i 7toA.v6Tg)s r'<br />

515 si d KQQVOQ xarsvavt' ETti^iaQrvQog j$<br />

f<br />

K(5t


B1BAION 5. [P.] 55<br />

cTG) Icpexavrai,, OL^VQOI yeyK<br />

cp(DTs' divdvyLiri yctQ aysigovreq Kara<br />

V.GLI noAias TtlaCpvxai ojiov QOTCTQOLS rs xal avkotg,<br />

540 %e Q


56 MANEQ&NOS AIJOTEAEZMATIKQN<br />

[isTcc yta^g)yyovs ? srs^ov d'<br />

dvo[iVG) %VTQG) S {ittka di) (pQa&G&cci avwya'<br />

01 [iv ydg r' oAoot xiJQKs Kca<br />

570 stdcohav re<br />

xal a&cus<br />

cog ds %at, rjv


BIBALON g. [P.] 57<br />

W<br />

******<br />

GXQVOI, xaxiovGqs<br />

xal KQQVQV ainvxdxoio yovijs coQrjv cp7tovxos.<br />

i d x<br />

620 &V6


58 MANE0&N02<br />

T KO.<br />

avxCa 8s Z v\ v 6 s AsvGGnv Koovos alysa<br />

%iv dvGrtoviriv re, Givrj ds %QsCovK dcaxsv.<br />

630 ToGtia ftv apyl vooav, iitl d' sl'xeha vol


B1BAION g. [P.] 59<br />

655 Mijvqg ex Zqvog xeveov xccl UIHXQTVQOV sty '<br />

devopevoi PIOTOV ya$ aystgovtiiv xara atixv.<br />

el de z/ibg ^iev opcoro,<br />

d' a{i


60 MANEQ&NOZ AIIOTEAE2MATIK&N<br />

'<br />

avrag vvv djicD&v yews & Ays<br />

685 xas X diCMQivEiEv avrjQ rads dsticpara stdas.<br />

EVXE ZJsA'qvai'rjs xal KVTIQ idog CCGTEQES alvol<br />

$aivwv %al II v Q 6 s i s af/upotv Ka&v7teQTQOi slsv,<br />

d[lCOS Kttl d(lG)G)V TOXS&V TOt^'<br />

si d^AtpgodiTifiv ply 0avav<br />

690 Mqvr] d av


BIBAION .<br />

[r.]<br />

ovAo[isvav STSQ&V palsQfoiv vit avyatg<br />

TQOI,O , yovTjv dovteiov ersv^av.<br />

omtoxs 6' civ XSVTQMV BQaxri xkiv&lGa 27 A 77 0/77<br />

715 evsQyav [lyd' oGGov %y STtiyiaQxvQov<br />

01


62 MANE0&N02 AI10TEAEZMATIK&N<br />

745 '<br />

cc xal vGraiioiGuv in ai&<br />

, Tar' [iol daQrjGaTo Motga dsdd<br />

xccl<br />

vvriv rs uccl [{isgoeGGav doidqv<br />

erjv z/t^ttotg, ro5 d' av&' apa<br />

(<br />

Td()o%6a) ds ZtsAqvcctrj c&alvav rs ua&<br />

jtovhvnodr] d'"A Q r\ s iv KKQXIVG) , ayicpl ds [le<br />

ovQavbv eGTQWtpttTO /3fAos: K s v r av Q o g ccvs<br />

750 rcog pey epyv ysvd&kqv MolQai<br />

afev<br />

BIBAION A.<br />

MOLQKOV T %A.v&a ^QOT^GiKy xccl TtAttva<br />

5 ^OiSiCOV T TToAotO 7tQLdQO[lOV, Og XCCTOT<br />

v T %A,V&OV V J<br />

% rjovg sni vvxra. xal avxoMrjs enl<br />

ravra yag 8$ iQ


BIBAION A. 63<br />

% LSQOLO Gayrj agog sAsyftov lovtia ,<br />

* * * * * *<br />

ov (Jisv xal g olov ayuzCfierai sldog s<br />

B TTpeora pev ovv Tixav jtavrbg Kgovog<br />

15 a^r^, oV (DKivovra &sol<br />

ovtog , iitv\v olxsta (pavft %a.xa d w' cc #' ft eavrov<br />

dsixvvGi xal ohfiov<br />

tiGKQItOV Slg fifov G)Qr)V,<br />

xccl sis ts^og alsv a^o<br />

20 s6u d' sv olxsioiGi TSTccyiisva xccvra KQOVOLQ<br />

t'dt', oltirs (pavsls rzv%i Jtohv%Qrjuovccs a<br />

) yccirjg t xal vdarog a<br />

Kgiog o x ovQaviuv xoQvcprjg oQog, sl'agog CC<br />

25 nal Zvyog atyh/jsig agog<br />

tsTQKitodrjg rs Ascov, TtolvKGTSQog spTtvpog olxog '<br />

ovtoi asl Tv%ov6i, figorovg vdai{iovag Zgyoig.<br />

r^v ds x av OIK 101,61, roitoig x^vxorQ^ovog<br />


64 MANE&&N02 ATLOTEAEZMATIK&N<br />

40 ftftffO'Om, Ttoe^iG) t<br />

yds [isyitiTccvag re xal a<br />

detiitoGvvovg , olg tsuva xal okfti<br />

Sis 1XQrqV VSVOVtiCC<br />

qvixa d' uv<br />

45 v xa&tG) xoGpov {IE 6ov ovgavov<br />

o cpvg ii6v(56i,v<br />

re<br />

ftavroio<br />

50 di>u ^aioroov cpdgvyos fiiov<br />

g IVLQV a<br />

dia tpKQiittXToto dohov VOGBQOV re'Aog S%EI.<br />

Act pitgo epochs d' attr oTtor' civ dvvovtii<br />

6V<br />

55 cp&GcpoQov, iv rovrcj $ yovag<br />

60<br />

rovroig ftqteiwv 7ti


BIBAION A. 65<br />

70 yeiVQpfocov figscpsav cogodKoitov q xard<br />

xal xaAapo'yQCKpl'rjS, xal oV sl$ povGav<br />

TOVTCp<br />

jj d t,ci^iTQ^(5r] cpa6i,v (pdog<br />

75 nkaGToyQCKpovc; , %LQG)V<br />

tfj d' "A Q Y]<br />

v%i<br />

Mtjvij<br />

I


66 AnOTEAE2MATIK&N<br />

xal GxijTtTQtt figorots fiaGihri<br />

100 tthomov T Qkfii]svta Sopors r' svSatpovas sgdsi,<br />

I XT os $' oix i<br />

xal piotrjv Ttl<br />

V TS<br />

agrees 8* ovx (x^et ftaGL^t]idag ovds<br />

105 i]6v%iri d' acpavslg (3^itT^v Si%a rovtids<br />

D 1 1 10<br />

xca<br />

', OLKMV re disv&WTrJQas Iv oA/3cj.<br />

per a T rs<br />

8s xoi Ae'lcj itdfa tinueesa &ta<br />

!<br />

HviK '<br />

dv o Q a o v 7tKViti


BIBAION J. 67<br />

3 'OTCTIOTS $' civ GxoTtirjv & QOGXOTCOV codtvsGGiv<br />

l^EQiisiagKaTayri, TOJ d' r\ Kv&SQr]<br />

6r] TOTS QYjTOQCCg CCvdpKg Id' V GOCpfyGl<br />

sG(jG&cu dsixvvGi, xal aGTyoAoyovg<br />

SV T yG)[lETQtfl(}l ZCil V TsAsTflGi<br />

130 sv TS ki&oykvfpiriGi ftswv vrjav TS<br />

4 Zsv$ d' vitSQOQyiaivcav cpoyddrjv VTCSQ CCGTEQU ita-<br />

Y\Vl% KV V XCC&STG)<br />

OVQKVOV sv v,aQ"vyQa> * *<br />

G)) TTJ^JLOS ds yovas psgoitcav ti<br />

SIIIVOQLXOV nkolov cpogToGToAos<br />

135 vavxkriQov Tiypus -0-' at^rjOsrat,, iv %Q86uv TS<br />

riyiQQV (DvrjTotGi, fliG)6Tat,, ^Qyaafyv TS<br />

xoivovov JTO/UGJV GvGxj\(5BTai^ aOTUTa d' KVTOJ<br />

sv ftakayiG) vv^Kpstci yevifaftcct sv TS ywcu%v.<br />

5 'Egiifjs d' OLXias OTTOT' av XCCTCC uvxka<br />

140 ILCiQTVQlVl dsKQOVQIQ MCCT* ai&SQK TG)ds<br />

syLyaivovGi, PQOTOVS Gocpfy TS<br />

TS xi%Yi


68 MANEQ&NOZ AUOTEAEZMATIK&N<br />

7 "A Q rj g d' atyhrjsis or' av avy&v 'He A i o i o<br />

vi^fts (pavij MrjvrjS re, Ao%vo[ivoi(}i,<br />

155 itiqQG)6iv GxovosGGav<br />

160 b'v<br />

9 or av<br />

xal a<br />

tag d' oixsict xv%G)v XCCTK<br />

rov<br />

PQOTCOV, Ilaiwviw<br />

xal<br />

rjtiSLV Ttaga xvdog avd&K<br />

E 165 Tavrct iilv K>QK<br />

F 1 170<br />

175<br />

2<br />

fig K<br />

cov y v


BIBAION A.<br />

atireyavovg rev%ei (lev, cdeiTtrrJQas ds xgari<br />

TtaidoTQifiag deixvvGi didaGxaMrjg re TCaQsdgovc;.<br />

3 180 qv ds xal dg)QO'yvovg Kvjtgidog &oov atirega<br />

dxrlg *EQiidavQ


70 MANEQ&N02 ATIOTEAEZMATIKSIN<br />

205 tr' yQK^atLX^v aGxrjGiv ivl GTBQVOIGW<br />

1 Grikfiov d' EQpd&vos oV dv<br />

(pwGcpoQQv dx-tiVGGi (idty Kv& E Q^C d o c<br />

rdg T' avyds 7tB%ovrs iv OVQCLVG)<br />

dadsxaTrjiiOQiav Gy^toGiv fiaGiv ikiKa,<br />

210 *yat,0[JL8'tga$ dsixvvGi [iad"rj[iiKTMOvc; rs<br />

ol$<br />

vs ve &VTCIS, Ids PCC<br />

8 KvitgoysvYigd' axTivas eg ysga<br />

215 a^i^'ya (parl KQOVOV TSV^SL<br />

dovA.CC &K)V l(DV T<br />

vovv<br />

9 'Hs A L o v d '<br />

Mrjvqs OQiiaGqs pfya Kvitqidi xowd Gvv<br />

220 &qA.vTQOVS,<br />

dvGrv%ccg, ^cc^drov xs xaxov SiadtxTOQuq aii.<br />

10 TfV $<br />

225 dxxZ<br />

^ XOLV&S<br />

7tl ravxo noAov did xvxAa<br />

dvQaaivovG(,) xal iv<br />

Id'<br />

11 "AQ?IS d' 'EQILSLKV did httpitddos avrta<br />

231 1} d()6[iov is faofiotgov lav {iftd rovd<br />

Id' k'^ita<br />

TBV^EL r xal iv<br />

xdl &()&& floras, xaxoQyas, dcp&iro[jLiGov$


235 xul XKTOvsidLGTrJQccg sv a<br />

BIBAION A. 71<br />

sig axuTqv dokosGGav aArj&sttjS itshas ij|tt.<br />

12 qvixa $' civ Gvv TotGi xal Ovgavidri$ KQOVO$<br />

oj&jj<br />

t,oidic)^ fiatvav re xctr' cci&SQa (paCvoTti ^o<br />

240 ijj XCCTK To^6rG) PKM.TI<br />

re<br />

(x$ TS xccl<br />

TS ti%'Y\


72 MANE0&N02 AUOTEAESMATIK&N<br />

xal**<br />

270 k'v&a<br />

15 'Hs'&ios d<br />

KGTSQ' 'EvvccAtoio,<br />

, VEXQ&V TS TCf.QL%svT]Qag<br />

axsiiTtoQlrjg TS<br />

****<br />

TSTgayovov av ovQCivosGGKV<br />

TaVQOLO<br />

275 KQIOV T' slagosvTos in codivsGGi<br />

280<br />

sv<br />

TS xccl otxTQOTKT' egya<br />

OT' av ccdgfj TOV<br />

KXt&Ji<br />

XCtl CCI&OTQXOIO<br />

rsv%i TtovoTtafaTOQccg<br />

, TtrjXTOlGt, 7tTCtVQl6TYlQa$<br />

%al yaLYi ^s^iSTQrj^isvcc syya<br />

OQVSK yfj$ , jro/ltog TtaGqg anofaGra ye'<br />

> Atrovg, d<br />

285 &v o /3t'o<br />

16 t]v<br />

T'<br />

asl<br />

ds 6vv 'HeAlc) TS xal<br />

ocp&fj ,<br />

SV G<br />

6%oivo(}aTag TSV^SL , xahofiafLOVKg , vtyo&ev slg yr\v<br />

ysixoviri ftavccTOLO xaTaQQiTtTOvvTag savTOvg ,<br />

K>V o noQog [togog SGTLV, snrjv slg Gcpa<br />

17 Tomoig d' a^iya itaGi KQOVOV<br />

xnl svxo^ovg %sQa iuovQ'yovg<br />

TtMv&ov TS KKI SVTOL%COV KKVOVKJ^V<br />

291 TSi%od6[iovg TS Ti&rjGi, ,<br />

r sv&WTriyag , ael ^a^arotGi 6vvr]&ig.<br />

1 S r^v d' itiopoiQK xe&sv&a KvftriQiag"AQ'C


295 rj XQLycovog eovtia XCCT' eiifiaGiv r)<br />

'<br />

BIBAION A. 73<br />

ri(5ri cpdog anhsxov atixeQi xsivc) ,<br />

d' CCVXE rbv avrov apa d-QaGxcotii xv%ovTg<br />

icov ekiuov dgouov ai&QodovriTOV)<br />

rovg T8%&evras avay<br />

300 ^coQOTtorag ol'vov , IL&V%KQU,OVK$ ,<br />

xrag ayovras vitvc)<br />

3tQOS TOVTOLS d' fVfc TtOvAv XaXCDTEQCt $l.a<br />

rtAcctiroxoiiai, ,<br />

305 [lQt,%SVXal<br />

x SQya T&hovvrsg , a<br />

19 o^^otf $' v Tovrotai KQOVOV pAa<br />

310 Gvvvsvri xccta %GIQOV ctvoiKsioiG i<br />

315<br />

ttapitK&sas ,<br />

20 q>euvov6(XL$<br />

Txxotivvr]g<br />

(? ro twar ttftf* v ortviopevovs ,<br />

[lao&ov s'lovxag^ Kvatitgocpiri T'<br />

r] x%vri pe<br />

,<br />

r 9<br />

iov<br />

'<br />

S* axxffiiv or<br />

GVV<br />

doQOQ'yag,<br />

xs<br />

b'v xs<br />

Gvvsvvav.<br />

ayxovxag, td' iv vawitviyiGi x%vaig


74 MANEQ&NOS AUOTEAEZMATIK&N<br />

325 AaoTO^ovg TS<br />

yds Al&otyGJXTM XK^lCCTG) filOV<br />

21 TOVTOig d<br />

'<br />

EQ^CCCOV STtl Tegpovag ijvfa av<br />

olxsiog,<br />

7tQr}XTTjQtt$ dSLXVVGl, T8&G)Vr)T(XS TS<br />

330 (pv66&ai, dsivovg TS iQedQTtayas spyoAafiovs TS<br />

SV&SV SltrjQSlCti TS KO.I SxdvGlSS TShd&OVtiiV)<br />

tyevdoKaTriyoQiai TS xaTrj'yoQfys TS Ts%va6[iot.<br />

22 iLaQiittQwyrjv (f CMTIVOS or' av<br />

ccpcpl<br />

s Aqvatqs GxoAibv AccflvQiv&ov oQL<br />

335 rfs Tts^rj XCCTK TCCVTOV iit KVTKLS<br />

xal<br />

oxov TS<br />

.,<br />

dsiuvvtii<br />

avx^itia cpe'yysci KOti<br />

340 svdssag TS Ti&ri


BIBAION A. 75<br />

os dz 4iK>vairjg KvrtQidog &obv CCGTEQCC /fa'AA'fl,<br />

xriviKK Sri pa%k(idag xv%i navwta {iiyfaag,<br />

xal TtOQvag , XQifiadag x' avdQotixQocpa egyct tehovtiaq.<br />

25 r^v d* 106 poiya, cpavfj<br />

360 KvdQEGGt, t.sivoiGu %al a<br />

detiTtoTidss [iByccAav ts flicov [leAcc&Qav rs<br />

26 rovdvvstov<br />

OVK aya&ov TsAsGei, fikafieQov d' iitl 7tu


385 rfitioves EX TtaxzQov [irjTQog<br />

30 ypog<br />

d' (<br />

EQiLstccgZrivog cpasstiG*<br />

6pfti?(tt?, r^ftog plv 6


B1BAION A.<br />

v #', a yvvctiQ cpvGis xyvcpiii ahys<br />

36 Z s v g d' oV av (<br />

E Q tu s ia v TS xal tptfQTrj<br />

d Ct v YI<br />

415 amttiLV cpaed-ovai, fiaty faftXpcwy&Ji, xotipov ,<br />

av<br />

Gwyysvwds TS, Xo^svovrai d' JTO rovrcov<br />

fiiov<br />

L37 'HsAios d* ananas ojroV dv KVTCQLV<br />

421 VLKXlVV\$QUrfiL TtVQifikiq<br />

, idl a^rij^a<br />

s i ccyshydbv akcooiievovg dia<br />

%a TSVXTOQKS avt&v<br />

38 ^EQILCCGSV d* OXOT* av .did xal KQOVQV ayxvho-<br />

426 cMxiGi GrttfiovGi cpkoyog<br />

ax6yov$<br />

rs TtQocpiJTOQccs avdyag avret<br />

, IEQ&V TS 7tQol6Tct[ievovs<br />

430


MANE&&NOZ AIIOTEAESMAT1K&N<br />

440 rsKToGvvris r ao%ovras 9 Id' avrodidaKrard%vriGiv<br />

ftavpara daida^ovrag^ sv a^KrisvrC rs<br />

ttafaxpyai Kal adgordrovs Kal


TV%OV()iV<br />

B1BA10N A. 79<br />

rfii ysyij&oras , a{i.<br />

TS


80 MANE&&NOZ AI10TEAE2MAT1K&N<br />

47 Zsvg d* ojroV av


BIBAION A. 81<br />

525 ig idCr\v dl JtarQ^v tyo'ysQov ftiov tfrv<br />

olxEiGJV f'yy&v iti,AiJ6{iovas, ovyl<br />

53 oxTtots d' GQGsvixots ditiGol iiiya tpeyyoflo-<br />

530<br />

535<br />

54 '<br />

a %G3QQV KvdtiXSQOV, Oi TOT*<br />

roA{ir]QoC) &<br />

OV [LLKV ig KTQCCTtOV pLOtOV dgO<br />

a/J*oT d' aU.OLtjv faqv zvTQETrcov %OVT;ES,<br />

ix d' vvK>v toav x Kee<br />

Mr\ wi$ 8 H /U'w Gv<br />

jG3t6tCO dvVOVTl, pQOTGJV<br />

rj xal hv66a/.Er] pccvi<br />

540 qpap^axroV , voGodvyiov,


82 MANEQ&N02 AIIOTEAE2MATIK&N<br />

555 fyv%i<br />

sv TE wtuyyzUrfii -frean/ ^vv^adi r' aid<br />

6i;


BIBAION ~4. 83<br />

rot, dsi&i, xal dxExpovag avdydtii, vvpcpag<br />

585 uGTCOQiri re xoxoio &%?] kmoitttida cpEQovGccg.<br />

62 Zqvogd' ttffigottAavqs nl tovxoig {idgxvQog aGryg<br />

oxQiov XE'XVCOV ******<br />

V7t6pAr]Tu ydvs&ka<br />

Giv yds yvvcuQv vito GrogyflGi, &VQKCOVS<br />

63 ijv d ttiopoiQos "Agris xccTatirjiiKTa roidds KCL<br />

590 yvGovrai [id%A.oi,, didv[i6oTQo


84 MANEQ&NOZ AIIOTEAEEMAT1K&N<br />

XlvdvVOV XQVQG)V TS Xal d^LV,C3V<br />

68 XKVXO 7td&o$ ueivoiGi xal dgt,xai,<br />

S 69 'AvxLpsGovQavz&v d' OTCOX' av KQ o v o g "A Q e I<br />

ogov fi-avdrov ***** cpnalv<br />

*<br />

615 G)v GKQKKS Sal'tiovrai, OQS<br />

ri 6v$ dyyiodovTSS., 7}<br />

'<br />

ev tovTois 6 'yzyas ual TtxcoGias<br />

iTG), xctl GcpalyiKr' a


BIBAION A. [E.]<br />

G7tst,QO[LSVois xal nxro^iEvoLS ds^otai, figoxoitiiv ,<br />

vvxrag avTtvos EMV xal EV ypafi jro/Ua<br />

[onxag ^01 {tiflAovs , atinsQ xccpov , ccditSQ srsv^cc ,<br />

10 TCCS GOl ^V^ XSptyG) Xa[lCCTO)V GCpSTSQCOV<br />

XEV, OGGCiTtSQ KVTOS Jtl,T;QO%ttdrjV IISTOGlQlS<br />

/l' aTQSXSG)S XKTttA.S%G)<br />

Xal E^a^JLBTQOiS TtBS66lV ,<br />

ocpga [idd-fls, on Tcdvrcc dari[iovS ccvsgss<br />

15 OL Aaxopsv vaisiv LEQOV vtzSov<br />

\ f'Ha'Ato^, Mqwqv, KQOVCV,<br />

f Kvjtgida<br />

T J<br />

Zfjva ,<br />

evTtkoxKiiov nalri Asys<br />

A 2 'Hv KQOVO s 'HeAios r' apcpcd xarCd&Gi Kv-<br />

20 xal<br />

didoctGi xaxys SVSXEV<br />

driyriv,<br />

xal atiTaGv snl AS<br />

xal Ilacpiri XSVTQ&V or' civ caGw avaxres'<br />

asl $t,Qv6i yvvaixwv.<br />

TQltilV LGOQQOTtOS aVTrJGElEV ,<br />

25 TEQTtovxai, rtaidav xahsTtf] ETtl xvTtQidt, XEIVOL.<br />

A3 HE A, 10$ XBvtQOiGi Ttagcov xEQOEGGa re<br />

os ply EV KQGEVLXOitii TtctQKtv , Mqvr]<br />

ds T<br />

85<br />

CpG)6TrjOE$ EV a Q 6 E V i X OlG IV 60VTES<br />

30 dqkvTEQYjS KvTtQldoS TE Xal K)QOVO[lOl,0<br />

aQ6vixots E^yoiGLv avayxd&vGi


86 MANEQSINOS AI10TEAESMATIKSIN<br />

',, piya dav^a* yvva.ipo.vhs yap<br />

yv.\iiov6iv<br />

C 4 K Q i b v srtOTtTsvav K Q o v t d q $ ini.<br />

VTCC<br />

35 ij Xttl GXOQTtSlOV XVKVQ%QQOV OlXOV<br />

E 5<br />

.bg k'cpV) Q%i d xal aveQccg ^<br />

'EG^OS tcpv KQOv9ijs, ^f'^ft ds v.al r t<br />

r 9<br />

tdts itavrore<br />

6 ^'EQitsfySxal OVQOS iit^v<br />

f<br />

40 t qv d* aga %al dvv&Gi) xaxiovsg oids y [la<br />

, [IOQOV atvbv vit tptpafoovtit, dvva-<br />

6TGJV.<br />

A 7 "A Q q s xal TlacpCri XOIVYJV odbv t&v<br />

9<br />

Evr av Idatii) /U'%o rsv%ov6* a<br />

M^VY\V<br />

6vyyvi,xas d KVTotGiv v*Aido6ds ua<br />

plv tpoqtovtiiv apsryoptcov efocpavrnv ,


B1BAIOJM A. [JEJ<br />

oyxovg d' apcpl depots xaxosAxeag a<br />

55 daxrvA.cc 6Y]itQyivoi AiitoGagxEa vrjAet,<br />

ravia d' arsQ Zqvogre xal V7thoxd[jiovKv& SQSiqg<br />

, oititor' sxetvoi anoGTQocpot, KH<br />

9 i'E Q p n S G>QOVOILG;)V Mr^wis H&a %al Kv&s-<br />

60 f<br />

Qtr)s,<br />

f dvvovros KQQvidao, ^fwi/ \Lv6xr\$iK<br />

f ^ itdkrjv cpikBOvGiv apviiova TtayxQctTiov xs.<br />

A10 *EQprjs xal KV&SQ e ia


MANEQ&NOZ ATIO TEAEZMATIK&N<br />

d 9<br />

r\v raids Gvvfi,<br />

80 vj ficccpsas poyegovs, vj Kfapavlas 6xoTOQyov$'<br />

ovroi yaQ xal vvmbs KyQvjtvYirfiQes sovrsg<br />

vvxra {LBV tyyafaovtai, iv r^iaTi d' vxvaovGiv.<br />

ItKVXOtS VVKTQiVOi(5l, ^LBGOVQKVBOV Kg 1/0 CCLVOS<br />

85 QS&I d' v<br />

E14<br />

91<br />

navvyQoiGi<br />

vav i'diov n<br />

, ol'O'' vitb<br />

Svvovtiiv astxsos swexcc ftt^ot),<br />

A 1 5 'EQfidiKS SLK^ISTQOV t%cov Kqov ov yds<br />

90 xsvTQO&sls 3 9<br />

gya^ovrai ,<br />

K xaparcov ys.<br />

K 9 6v o v yds<br />

avTots xar' zvavxiov COQOVO[IOI,O ,<br />

94 ual cpQsvccg yMoicotie 9 JtccQSjt^ccy^sr ds vorjfia'<br />

92 t de ^o^g [ir] fiot^ TV^, KCtd'&twv d' a<br />

95 stiQ 9<br />

6%6rt,6ev povvG) KksfyicpQOvt, ^sv^iar<br />

OTS


D 19 Zf vg QS'&L xQars'ovrag<br />

101 KvftQlS TtOQCpVQeOlGlV V l'<br />

xcd Kgovog vS6,G)s a<br />

d' svrotyovg<br />

BIBA10N A. [.] 89<br />

d' VTtaxov, Myvr] ds TOL<br />

f<br />

A 20 Aly6xQ& KvTtQi s rs notl Tdgo%6(p<br />


90 MANES&NOZ AIIOTEAE2MATIKSIN<br />

E 22 *AQ7]g d* TJv TTQuywvov I8oi -xcdrjv 'A cp Q o S i r r\ v ,<br />

124 paQXVQCriv xovxc) xal Kgovog ff<br />

128<br />

VVOV%OVS 6T81QOVS OXS d' Q[lKCp()6dlTOV t-TSV^KV<br />

A 23 Tibg d vlavos xe Kgovov Zvg %$<br />

f<br />

xal Eg (i jj s<br />

130 apyox^oi fiaCvovx


E26<br />

A 27<br />

BIBAION A. [E.]<br />

xal AV(J(JK (jTvysgrj xal Xdog ovho<br />

155 rsv%i d' ayyccAsovg v<br />

oarea xavvGo&svTss ay' vdarog ovAope<br />

syxvov adivovGiv eov (IOQOV svto<br />

"A Q s a d' qvAsL<br />

avBQots KriqKSi xQvrpinwv ano itokkaKi VOVGCOV<br />

160 qnaros $ Gitkrjvos tQv%ov^vov ^ vscpgoto,<br />

7tVV[lOVK O1<br />

165 Aajnra/Uot &vwi6i xa<br />

A 28<br />

Xtt l<br />

170 KVTOVS d' V<br />

'<br />

&M]VTCC, XCCXIjV V060V<br />

[iv yovdav ftiov coAscff, xcd Af^og avzav<br />

ftctVUTG) XttXG)<br />

174 TtokAaxi Kotl ftavdrw 6TvyQQV dvri<br />

******<br />

173 a(3Tyot, yd' ayvvaioi arwvoi, r' v veor^rt.<br />

E29<br />

159 civsQag Ixrqxei TtoAAdx<br />

174 jroAAaxt d' COKVUOQOVS


92 MANE0&NOZ AI10TEAEZMAT1K&N<br />

C 30 "A Q s a d' i\v xaTE%ri dsivov ftsov ,<br />

jroAAtov al'nog


BIBAIONA. [E.]<br />

QE^E KQOV& teal "AQV\I xal EQpfj xal<br />

xal dil xal Myvrj t xal 'HeUcp fia<br />

205 ovrot, yap XQareovGi, &8G)v , KQKXSOVGL xal K<br />

E34<br />

novTov xal itOTapGdv zrdvrav go&iav awlp&v T,<br />

xcd yrjs xaQnocpogoio xal qeQOs aevdoio.<br />

Emv%as QE'&I, xal<br />

210 et dEAiTtoiKQOVicova (paEi,<br />

OVXE'TI, TY\V avxj]v EVTOg %i> dvvayuv '<br />

akka xaxcov $XtlQa ME^EI kCrtov6a JfQog avrov '<br />

xivofiogovs rj VOGEQOVQ<br />

6v T' ETE'^EGOEV E'^EV fitov iv<br />

* * * *<br />

A 35 "Arg xal &a$'&(ov xaTSvavxCov<br />

218<br />

216<br />

217 xal<br />

219 xal do'cu xal<br />

220 ex d' "<br />

rs xaxr]<br />

TCE<br />

OVTOL d' EVTtoQot efatv, ait<br />

225 yv Ttos (paocpoQEovGa<br />

T<br />

xal EX<br />

end z/tog<br />

ros<br />

xal Tti


94 MANEe&NOS AI10TEAESMATIK&N<br />

A 36 'AnyoTsgoi, dvvovtss o{iov Kg 6 v o s y<br />

**M$J<br />

230 Mrjvrjs 'Hskiov T xaravrtov sarrjcatov ,<br />

QS&VG' fyiiavws, jtdtias


BIBAION A. [E.] 95<br />

OVVXV aV&QCOTtOlGl, XKXYl XttTK klxrQtt, TSTVXTCti '<br />

260 CCVSQSS ogyi-ocovTsg aTtoxrsivovGi,<br />

al ILOQOV alvov s%ov6i<br />

Giv , as cpt-?JovrS<br />

'<br />

jro/Uj d' OVTOL<br />

A 31 Zcsdiov & QOVO [ioio ka%G)V Zsvg<br />

265 AA' ovx<br />

si ii<br />

dvvovros avisos rj<br />

* * * *<br />

270 Q^ovGiv, fiiotoio<br />

'<br />

V 7tQK>rOl6i KO.I 8V<br />

av Qadftav XKTWUVTLOV a<br />

vr]Ta xal<br />

d y<br />

i d KQOVG) KaY'AQVii Gvvfj<br />

a<br />

LQrjS VTOS ovaa , Gvvaitxri d* avrixa Tot


96 MANE&&NO2 AIIOTEAE2MAT1K&N<br />

tavra ds TOL tsksovGiv , jrjja> SHIXSVTQOL SGOGLV,<br />

285 [iiqdeva vcov 6/loc5i/ xaTSvavrCov %&QOV<br />

IV 39<br />

290<br />

295<br />

fldkrj navravyss sv<br />

TCVQOS avx^aovGi iiyva<br />

r<br />

EQ[ifjg $' olxLOis ojroV av XKTK xvxha


B1BAION A. [E.]<br />

97<br />

M v\ v v\ s d* ajKptxsQti 6%o&i,o$ dyopos ^vix av<br />

TCO^OV<br />

d' a ktt


98 MANES&NOZ AnOTEAESMATIKSlN<br />

av &avdtcov nkovrov<br />

r^v ds ZshriVKtrjs amis IGO^<br />

335 rpcorl Kqovov , ^id^rvg d' 7tl ffjjjum r^ ysvyrai,<br />

'<br />

6$ "Ai-<br />

, vj<br />

VTTO vovaov<br />

priQridi yvvaiQ cpvGis xgvcpi' atys' sdcoxsv.<br />

40 f "ffv K Q 6 v o s aQOVopri , IlvgosLS dvvy<br />

t&vv,<br />

340 f al'favos oans avqg ye PIKIOTCCTOV pogov s%i.<br />

E41 .,..,-.,.- VC3V,<br />

dovA.OV$ 7tOiiq6l Kal yOVG)V


BIBAION A. [E.] 99<br />

C 42 ^Hv ds K Q 6 v o s nagodQidiv sit "A Q 77<br />

,<br />

ov<br />

355 eGGsrcii av&Q&Ttois nokkov xaxov afnog ovrog '<br />

os scpv '<br />

o toitov<br />

0TQva%a ts pAaflas r u&i {lEQOTteGtiiv.<br />

svTtccQodoiGiKaTOTtTSvGagKQOvov cavov<br />

XTrjGsLS d a /<br />

ya&c5v xal vinos 07tdt,ei.<br />

ftog ovgdvios anAavav TS TtKavwv re.<br />

360 f Aontov [ioi MovGca dor' asitiai nkslova tovrcov<br />

sis STSQCIV ftiflkov rwds ftsT^co ^^09 snog.<br />

BIBAION E. .<br />

!E| advtav ISQ&V fiipAav ,<br />

4 GvppovAov TtLvvrijs 00(pfy$'A0xAq7tiov fv^wV,<br />

3 OVQCCVICOV T' atiryav diai$ S^KQK<br />

5 ttVXWVTlCp KYIQW KTtO^K^tt^SVO<br />

v^g fiAv^ov d&gqi<br />

vit OVQKVIMV %OQOV<br />

hd&ov TO d<br />

'<br />

ov yccy rig rQiY] tiocps sr<br />

10 ?J povvos UsroGiyLS , ta^ ^o^v (pllrarog awrjQ '<br />

ov flaws xaiiaros d' ovroff , Tiroes [tats , 7tcpvxv.<br />

'AvftQ&ttWV yV6l$, KS riQUQS {IVQLOS Ctte&V)<br />

GropdrcQV CQK)V 6 Gocpararos eiitzv<br />

7*


100 MANE&&N02 AIIOTEAEZMAT1K&N<br />

Ib<br />

Sg avdgav yvzr] rj ply cpvsi , ^ d' 7ro/l^i. u<br />

y^OiQKV 6' OVTiVCC (pr^ll 7t(pVy(JL8VOV {l[lV(Xl, CC<br />

ov XKXOV, ovds ply ^^<br />

20 ,,AA xtr] /Ltot ravra cpilog diE^B^aro &v[i6$ ;<br />

25 i Ev TtaGiv<br />

f<br />

ovQavtoiGi (pegav Jta<br />

xal rfj ISCr}<br />

28 f^ ^)?y axQifiovTat, df Pgoroltii TK doy^iara<br />

27 f jjjv (5' ci'^^z/ il>v6r] xi) 6vv& >w'ki


BIBMON E. [g.] 101<br />

f Hal 6v $ y ilv (jvvodc)) a/l/l' OVH avrfj vl<br />

\-'H&iog GaTQctTtag (.isGGovQaveav<br />

40 f nal (jTQaTL^g^^i^g yytJTOQag oig evl ol'noig ,<br />

3<br />

f v d'"j4QG)S ol'xoig xal Zsvg aTteyqvs<br />

or' av STttuevr<br />

f xal TOVTCOV ds sxaGTOS,<br />

CpGOTCC,<br />

f rp> d' arovag AsvGsiB, Gvvsl-afaGfrsv KTtavra.<br />

e<br />

&$ oV dv<br />

45 KtixriQ a^ya/leog, vito patixdva oppaxi<br />

ovrag ayyaksoLS (7r^ K K A o s o ku kaar' e*3toiGei<br />

4 'AvToU-qv Zqtcdv xal xr\v yccGiv V<br />

VVKTSQIVQV dBi^iaive Kg ovoy xal K)ov<br />

Tourra<br />

50 Ka I<br />

cog TtvQog al&opevov 6TvyQctl (pAoyeg slolv sv vhrj<br />

A/3^>' iti'yi,voiivov<br />

* * *<br />

ov ,<br />

rov dl KQoyovxaQ^L aiel Kara Ttavta<br />

55 fyv%Qog ydy T nilsi<br />

*<br />

r^df KQQVOIQ /3oA?) Hal itr^vvxai<br />

pog' i d' apcpcd dt,' SQIV itQi KevtQov<br />

iai, nal Tcr^C iitl xrjuari divco.<br />

(JTi%co6i, d' b^iov Gwodotg ij<br />

ig sva<br />

60 frfQiioraiog yaQ Hcov I(JV%QG) avaHigvarcu<br />

Tri ds KQOVOLO /3oA?) vnofta


102 MANE&&N02 AI10TEAEZMATIK&N<br />

5 MetkC%io$ Kgovidys xatK navra Kg ova<br />

Gvvodev&v<br />

Cvv T '<br />

aGTQOig jtaGiv , itKy\v 'He hiov xccxos gyov ,<br />

Gvv xsivK) yaQ ecov AVSI TCUTQWIOV olxov<br />

65 xal (pwydda$ rsv^ei xccl evl<br />

6 'ffdJLiog IIa


B1BAION E. [g.] 103<br />

12 'AQyaJlecav KGTQOV dvvatto yiyv&6K r<br />

13 iv ds TSKvoiGi povoig<br />

xal didoKGi, yovqv Ids xsv&i[iov 6[jL[ia(5i, dK<br />

IV. 14 "AQTJS xcd Hr L I /5 o v ., ovyupava XK KBVTQK<br />

85 v^lovg, dyrjatag, pe'yctl.ofpQovas<br />

xraiovxaq xotyri xccl dqmdiJioplvovs Inl do<br />

ya.Q<br />

xohatifi, G<br />

tpEvyovtii, di&XQfievoi nag' E<br />

90 ds K Q 6 v o s rovxcp rco G^r^iaTi IICCQTVS s<br />

TOV d^r](5^ov AvGas do^av Ttakivogtiov edcoKev ,<br />

KOI %siiiG)vi, TtiKQto yhvxEgrjv ejts%evE ya^vriv.<br />

15 'Eg \iiSias xaxQTS%vog opov nal<br />

******<br />

^/ dvvovrss opov xal jjj vnoyEioi lo<br />

96 OA/3<br />

95 elitfaiv a<br />

97 ovQaviois d' aOTQoig piy asiyofjisvoi, VTCCI, ,<br />

yd' a6TQK>v ifjavGavTsg dta ijv itfaxw<br />

(0$ KGTEQ8S KCpVG) k'^CC^<br />

a$ (XGTEQES fa&ov vit<br />

1 6 Keel II a cp i rj Svvov&a xccxij 9 K>S Aoiyiog "A Q TJ $ '<br />

q Tlacpir] dl TUKgrj xal ficcGxavos EOT' ETtl


104 MANE0&N02 AIIOTEAE2MATIK&N<br />

17 'EQ^trjs xal TLayiYi ldiai [ioiQr]Gi,<br />

18 Ov x a A o g i


BIBAWN E. [g.] 105<br />

125 OVTG) KKL jikovrco itEviriv ETtE&rjXE<br />

avrtrvitn VE^GEI a7todnxa{ivr] TO da<br />

23 Zvvds6pog M r; i> t? g o A o '<br />

T a r o 611<br />

24<br />

xrjv Iv6rj ds cpatiiv ra TE/LE'O^KXK y' , ovros scpvtizv<br />

'<br />

131 TS'XVOIS XKL ysvE-criGi {iK%as y<br />

rids, x aK^tviv.<br />

aGrarov<br />

SVQCOV iiotgyGt 2J e A r\ v r\ v ?<br />

d' K itoxs vx yog 'AQYI [IOLQMV IdCav<br />

135 fi^iu^ftg T^z/g, xa^arovs XVQO$ yds 6idr\<br />

xal Ilatpiri d tap stgos "Ag^ ov Gncpgovcc<br />

25* * * * * *<br />

Ka^nro^BvoiS fca'otg or* KV svQiJGrjs TCOTS<br />

138 *EQ f*<br />

i K v 6x7tTOv, |<br />

139 GjjY\\LKri tijslla


106 MANEQ&N02 AIIOTEAE2MATIK&N<br />

27 *Hv d' $$$% Mr^vviv aid dvvovGav cp' vygotg,<br />

150 rtgog KQOVQV Q%oiiEvr]v tj dvvovGuv xcc /5oj<br />

av&QKtTtoi &vvov6av QQGdvxtti vavxikoi v\<br />


BIBAION E. $. 107<br />

vito<br />

180 iiinovvTcu dvaocyfj Kvpelriiov v&Qv"A'triv.<br />

^v d'^'Ag^s ,(dois sitl cpcoAsvovtfi, ra<br />

a Zrjvl lu%u<br />

ddvctTOv xaxodatiiovcc xal [togov avrcog<br />

185 aGrti'dog KLVOpKVOVS 7tAaTvav%VOS , yd<br />

ftavarov 'Jt<br />

190 x<br />

iov<br />

i^ioftoQOV cpopegbv<br />

xokccGsi vito<br />

EL d' av%ov6aTV%y<br />

Gagxav VTCOTrixsrai {i7tvQo$<br />

xal dvvwv nvQOfig,, OTCor KV Kgovog ca^oi/o-<br />

ri yag vog KUTCQIOIO wseUvq hevxov odovxa ,<br />

195 q yva\LTto(, 6y ow<br />

200<br />

d' ^ /3(7tAt<br />

rfc fikotivgoto<br />

r]8 KQOVOV TCJ d' av<br />

29 f MY] ha&&m (3s K Q 6 v o<br />

TV%G)V<br />

1 ^ xal fig a<br />

205 f itollaxi 8s itgoyovovs xal<br />

JTOis iitaysi byLoyK


1 08 MANE9&N02 AIIO TEAE2MATIK&N<br />

f v&ade ftot, fiaGihEv, rc5<br />

f yvcoQi&v ysvErj rovg<br />

yiyveo<br />

vpswxfovg<br />

30 XaiQEiroi Turav {lev STL ccgti s v moiti i roxoiGiv,<br />

210 ^9-ft d' av Mrivri nabi frrikvr EQOIG iv<br />

l 6' a [I Cp G) TOVTOVS vl ftrikVT QOlG I<br />

svvov%ov


BIBAION E. [.] 109<br />

jv $' IdLrjv axiirjv cpihsovri, didoGuv<br />

235 TJ\V d' ahlov eSpTff avrog Tco&dcov<br />

fafaoGBt dovhrjv d', ^ ^aArptaz/, ??<br />

xal TiKTQqs SL&I, qd' ev ^iv<br />

Kcd xAaGtfiCii, yQacpats anskavvs'iKi aAkoos<br />

240 sis GTSIVOV ^corjg &V7i7]$ ^f'ra, ratg eitl TS%VCUS<br />

ahkorQictLS t yQccyals ETtiTZQTtsrai,., j} di%a Av<br />

VT gaits' A.OIGL yQcccpatg rsgnvov fiCoxov<br />

34 'Hvlna d' av M^vr} 'Eg p ft<br />

QYjTOQCC 6Y}[lKlVl,, KKl ^ V ^l<br />

245 svyQayipov itivvrov r\ iv yv[iva6ioi,g T' i'Gov 'EQMt-<br />

35 ZlxoQnios, 4ly6x()K>$xcclKaQxvog yd' ay<br />

oC'lx&vg<br />

x cpoUdov nohl&v GvyxsiyievoL dtii TO<br />

xa<br />

V tovroiGi, rv%G)v geG vs xa<br />

250 xal Mrivri %Qarj xcd 'ykavxioaGa<br />

DQI^V xal AsitQqv, ahcpovg, ki%fiva$ h'rsv^av.<br />

ol'XG)<br />


1 1 MANE6&XOZ<br />

37 'O K()6vog f<br />

EQ[iiav xaxfycov KQLOV ivl<br />

261 qv MT\VV\V


290 ovyl [i6vov ^cacav frrjQrj<br />

*<br />

BIBA10N E. $. Ill<br />

oyoi, dfyccpot,, dfyovoC & apa xcd di<br />

f HOI TtaTQii %aiQov6i, xal Iv ,Eivoi6i<br />

f ii^tovxai 6vv%K>s yd* aAo^cav a<br />

295 | avyvvGiv Greyctvois., yiHvus yri$Q>v6iv ava.mov<br />

f [iccQtvQicus do^riGi T' aya.Mi6yiVQi<br />

f 7tsv$Qixoi$ dakayLQi<br />

f 1} xAo7tL{iG)s (p&iQOv6i<br />

[xav a()Ti (paivovttti, Id' v<br />

41 Hv ds x yr\


112 MANE&&1SOZ AHOTEAEZM. E. [g.]<br />

avacpavdov.<br />

320 T sr QKTtoGLV ^cooiGiv i ii (jTL70vGcc 27 A 11 v n ,<br />

5 V X<br />

t %(U T^l' C3O77V 2/<br />

el 6' 'Agris ^ovs ?<br />

TJVT' in syyoig<br />

325 ^ JtoMotg [iritriQ tlrtl daxyvGiv stirsv'<br />

EL de K govos TlayCriv tdiois OIKQLGL<br />

Tixtsiv ex vrjdvog , ov nors TL<br />

d' adtvag avcodvvog<br />

rs yovqv vitoflaMo[i8<br />

330 xal xkivaGa d^ag 6tiQa Ao%6g 6?' litl<br />

xal itkaGxji fi^rayp i&ufywiQ x^v ydtiiv ayvag<br />

IV 43 Agea XKLH a ^)C i<br />

r\v Gwacpaig<br />

'Pis A COLO roitOLg q ual Zlx i A /3 o v x o g v ol'xoLg ,<br />

335 IQJVT^V xctl hvitgiyv , KccxoitQYj'yiiovtt xccl<br />

xal avKtovK nal<br />

340 ft'A/l' VTto xrjg Ilacptrjg a{i@A.vvonvr]<br />

:, fidtixavov


EK T.QN JQPO&EOY.<br />

H


114 EK TSIN 4&P00EOT.<br />

*<br />

15 * *<br />

VTto d' avTG) fjtAsTO TtaGa<br />

av TvgLrjg 4idovg VTIO daf<br />

6vv r 9<br />

d' vitb rads<br />

xccl KQYjTq Kgovtdao z/tog rpoyos, T ( II re<br />

20 C(Q7ta'yiiV]S vpsvaios scpv<br />

TCJ d' VTto Kittslt rsrarccL<br />

'En T(DV TOV tiVTOV ^COQO&fOV fiSQl OQlCdl'.<br />

f<br />

^| d' OQiav 7t%si, [loigas (frasfrov svl TOVTG)<br />

tag XjHOTKS) IISTETCEITK (J' itiaq A(X%V 7} Kv&BQ<br />

OKTK) d Ztttfi&V TQLTCLTOS , UvQOStS de rS 7tVT<br />

25 rag<br />

V TOVTG)<br />

TCCVQOSd'<br />

'Mct% rag itQarccg noiQccg Kv&Qia<br />

dig TQEtg, xal f&as&av $Ka% omen, JtVT dl<br />

Tag<br />

U df Tag ngoTEoctg OQLOV (lOiQctg kd% ovQog<br />

V TOVTG) , {lT7tl,Ta KOl % Ka^BV ^ Kv&SQEia,<br />

35 Tag d iGag E^^rjg y


EK T&N 4&PO&EOT. 115<br />

% d' %i 'EQit&fag, nvpdrag<br />

rLKQ&svog<br />

40 *Enrd d rag Ttgorsgag ska% ZlrCkfiav jra'/U ravryg,<br />

Kct.1 dxa KvXQig sy^i poiQag,, fDas&cav de psi; avxj\v<br />

dvo d'<br />

Zvy6$.<br />

G> de Grilfitov al&G)V) dig<br />

,<br />

dig dv* %i^ nv^icxrag d"'A^g fca roma.<br />

Ejtra d rag ngorfyag ^E^^irjg Kd%ev '<br />

g poiQag Kvitgig '<br />

ira pqc avrov<br />


116 EK TSIN 4&P00EOT.<br />

dig ds dvco c&as&av , SMfiav. TpsZg , ivyla &ovQog<br />

rag d' VTto^siTto^svccg diGOag (fratvcov Ad%s<br />

KQibg %aiT^sig<br />

TS Ascsv rooto TS '<br />

rjuaros 'HsMoiO , z/tog ds t vvxros<br />

63 tf/Ua/tf^v *<br />

Tavgov '<br />

atvbs ds KQOVO$<br />

n.aQ&viKri 6s KCU<br />

yuKvoc; 'AcpQoysvrjs , vvxrog ds TS dice<br />

xal TQiraros ^sxa roltii &sos TtolspQi<br />

laav<br />

iv ds vv IlaQ&svLKfj Matqg TtQoG^d^ftavs XOVQOV<br />

70 sv z/t^v twoig Zvyfi TS xal TdQO%6a) X<br />

TOVTCOV VGTKTL^V KQOViOYig {lOlQYjtfaTO<br />

avTS Aaxsv xal UxoQrtiov yds TS Aottfftoi<br />

[VTIQIS* IIvQosig ds TS<br />

75 xal {iSTtt Tovg sfoxanig s'%si {laGiliaaa<br />

Tov avTov tv oig %aiQov6i TOrtQig 01<br />

AiQSTol sx TOVTOV [iccMov Kpovog<br />

slv f<br />

Zsvg d svl To^svTfi , xccl<br />

xoQTCi(p rjdsTcu<br />

d' 8v TO.VQCO yavvxai voov , sv ds vv KOVQ\<br />

'<br />

sis


EK T&N ANNOTBISINO2. 117<br />

EK TN ANNOTBI&NO2.<br />

tfyg c$ 'Avv&vfitcw tv roig<br />

pov ds fta^otg aQyv arsQ KC/TQCCOIV a<br />

6xe7tTO[ivo$ Mr^vYiv xal pfyav<br />

itiu [iev cut 'HeUoio , VOTJ<br />

90 ofaov dsGito^av sv&cc<br />

ds 6TOi,%ridov a<br />

s<br />

, ZeArjvatris aGxegoc;<br />

'<br />

ei$ o ti d' av<br />

95 %QY] ds EhvivaLTf}<br />

ait 'HekCoio dieKaks TOVTOV<br />

WQYJV VVKTSQlVriV 6X67tTO(Jl,VOV<br />

el de xtv'Hsfaog oMya$ poiQag %<br />

il TSTQaycova &' OQKV xal didpsrQcc roitnv.


n meinem Seriate iff nun poKJtanM^ crfd?iencn uub in alien<br />

baben:<br />

beS<br />

cfafftfcfjen flffertljums<br />

fur<br />

\) m n a f i c it.<br />

3m Serein nut mefyreren on<br />

Dr. /rtf&rid) ubher f<br />

Director be ijmnaftumd in i'unlnm.<br />

in einem 33anbe &on 6&%8ogen gr.<br />

$rete brofttrt 3 3:^lr. 12<br />

Seburfni etne compenbidfen 9Jcahrcrterbucf)3 fiber bic in<br />

gefefenen griec^ifcf>en unb lateintfc^en Stafjtfer fiir bie ^>anb<br />

ber 3ugenb ift fo ielfeitig au3gefprocl)en worben, ba bie unter*<br />

jeid)nete aSerfagsBanblung ben weberfyoft an fte ergangenen 9(uffor*<br />

berungen, jur ^ercffentlt^ung eine? foldjen bie ^anb ju bieten, nt^t<br />

langer njiberftreben mo^te. dS mute bei ber erflellung beffelbcn<br />

eine auptaufa,abe fein, ben Itmfang be SSerfeS mcgtirf)fl jii be*<br />

fcbranfcn unb bod) burd) eine fparfame comprejje dtnrid)tung be3<br />

DrucfS bie notbige Soflftanbtgfeft ju erretd)en, urn bent Scfyiiter un*<br />

ferer ^fi^cren Sefjranihlten fiber attc in feinem Sereirf) Itegenben e*<br />

genflanbe be3 ctafftfcfyen 9(ftert^um3, fomett er ft^> bariiber nic^t in<br />

ben gewcl)nlid)en grtedjtfcfyen unb lateinif^en 2Borterbucf)ern unter*<br />

rid)ten fann, bie gefudjte SluSlunft gu geben. d war beI>atb<br />

erforberlid), in ber gan^en S3e^anMungn?eife ben<br />

(ebtglic^ 3 n?ec^<br />

at magebenb $u betra^ten, ben ^tubien unferer Sd) filer unb eben<br />

bamit bem unmittelbaren 9iu^en ber Sdjute ju btenen. )ie8 war<br />

im SBefentHd^en eine Sefdjranfung be3 3n^alt3 auf bie ffir unfere<br />

in ^mnaften unterric^tete 3 u 3 en^ Wiffcn8flrt>igen Xbeilc unb ^ei--<br />

ten be 9lttert^um , auf ben SSereid} ber oqugtveife in Scf)u(cn<br />

gelefenen Sfaffifer, auf atte biejenigen ebiete unb (Begenftanbe be<br />

2lltert^um, beren 58erflanbm bent jungen Sefer fo red)t anfd>aulidi<br />

unb fru^tbar gemacfyt werben fann. 63 gait alfo vor alien J)ingen,<br />

einerfeit? bie red)te Sefung ber groyen 5ilten felbfi ^u unterftul.u'n,<br />

anbererfett^ ton fleinen *)3unften au einen Ueberblidl fiber grieve<br />

fpart^ieen unb eine @infid)t in ben 3 u famnten ^ all 3 ^ c - antifcn Ztben>3<br />

unb J)cnfen ju vermitteln. 9Iu^ biefcm runbe mitjjte ber<br />

^>eraugeber bemfibt fein, eine Sftenge perein^cltcr unb eben barum<br />

anfjaltJiofi cerfc^winbenber 9?ottsen in Sin grof;ere$ an^e jufam*<br />

moniufaffen, u\t3 nur bet ben geogravbifc^en 9Irttfctn weniger ^u


erretdjen ftenb, ba fyier<br />

beutung<br />

eine fur$e Ortenttrung fiber Sage unb 2?c*<br />

einee DrtS oft pollfommen genugt, eine 23enr>etfung abev<br />

auf bag grofjere. anje, bent e$ fprud) ntmmt unb<br />

angefyort, unnotfyigen 9laum in 5liu<br />

beint (Skbraudje unbequent ift. >'5o ftnb bie gu*<br />

fammenfaffenben 2lrtifet, wit 23auf u nftler , 23elagerung, Silbfyauer,<br />

33ud)ern>efen, Disciplina militaris, Divinatio, (po3, (Ei'gie^ung, Exercitus,<br />

Geographia, railtntatifer, Historia, Judicia, ^(eibung, Komoedia,<br />

ttyrifdje ^oefte, Qftafy^eiten, Musica<br />

$riefter, $ioce (attifdjer), 7Zpo'irfung tiid)tiger SKitarbeiter in erfreulic^em 9)taKe ju<br />

worben: ^>r. director (Eta f fen in ^ranffurt a.<br />

9^. tieferte bie<br />

tifet S3nttu, 3uHu (Safar unb *)3cmpeiu^; bie ^erren Sector<br />

(^cffiein unb Dr. ,>. ^eil in ^aHe eine 3teif)e on S3eitragen auS<br />

ber romifdjen iteraturgefd)id)te; ^err dcnrector Dr. ^>ubemann<br />

in eer auS ber unb<br />

griedjifd^en romifd)en cfc^idjte; ^err Dr.<br />

3effen in ^iet grie^ifcf>e 2iteraturgefd)id>te unb<br />

efc^id^te (aucb<br />

einige lateinifd^e, wie (Eicero); ^err Dr. ^3fi|jner in ^ardjim<br />

bearbeitete fammttidje 2irttfel au ben grtec^ifc^en unb romifcl^en<br />

^riegSaltert^umern; ^crr $rofe|for Dr. 9Uin in (lifenad) bie rihitis<br />

fdjen OledjtSs, taatS* unb ^)3rivataltert[)umcr; err ^ ro f- ^iefert<br />

in Stttona bie atte eograpl)ie; ^err (Sonrector toll in SSeitbiir (burg<br />

bie antife Religion unb 9Jtt)t^oIogie unb bie epifd>e unb Itmf ivifcbe<br />

$oefte ber riec^cn; err ^prof. Dr. 2Bi^fd>eI in difenad) iibc<br />

na^m ba ^ac^ ber bramattfdicn Siteratur unb ^unjt; >err<br />

Imu"<br />

naftatle^rer 3 e ^e in reiffenberg bearfceitete bie griec^ifd)en taats*<br />

unb ^riwataltert^umer, tva^renb ber ^erauSgeber enbli^ eine<br />

9ln$at){ ber adgemeinen unb jufammenfaffenben JUrtifel, ferner fajl<br />

atte 33eittage au b-er efcf)id>te ber ^Ijitofopfyie, titerarl)iftortfc^e<br />

unb anbere 5lrtifet geliefert ^at, bie jur (irganjung ber eintretenben<br />

Sftcfen erforberlic^ waren. 3 ur 93e ranfc^aultd)ung ber wicbttg*<br />

ften egenfianbe au bem Seben, ber (utturgefd)id)te, oer Xopogra*<br />

ptjie u. f. . jtnb I)ie unb ba 3ttuflrattonen ueigegeben worben,<br />

fo weit e bie 9liidfjteitungen in ber ^\ifd)rtft<br />

fur tymnaftatnjefen 1853 . 709 jf., in bem Siterar. Central*<br />

Matte 1854 9?r. 12, in ben


NIKOMAXOT TEPA2HNOT<br />

nroAropiKOY<br />

APIOMHTIKH<br />

NICOMACHI GERASENI PYTHAGOREI<br />

INTRODVCTIONIS ARITHMETICAE LIBRI II.<br />

RECENSVIT<br />

RICARDVS HOCHE.<br />

ACCEDVNT CODIC1S CIZEXSIS PROBLEMATA<br />

ARITHMETIC A.<br />

LIPSIAE<br />

IN AEDIBVS B. G. TEVBNERI.<br />

MDCCCLXVJ.


LIPSIAE: TYPIS B. G. TEVBNERI.


PRAEFATIO.<br />

Nicomachi Geraseni iulroductionem arithmeticam postquam<br />

Christianus Wechelius Parisiis anno MDXXXVIII<br />

primuin edidit, huius saeculi anno XVII Fridericus Astius<br />

Theologumenorum ArilhmeLicae edilioni suae ad exemplum<br />

Parisiense recognitam et codicum mss. Monacensium ope<br />

emendatam subiunxit adnotalionibusque latis et verbosis in-<br />

struxit. qua in editione cum multos locos quos editio prin-<br />

ceps ineptissimis mendis et corruptelis foedatos praebuerat<br />

correctos obferri qui neget nemo sit, Astii tamen quam ad<br />

Nicomacbi textum in melius reficiendum adhibuit ars neque<br />

sanitatis neque constantiae laude digna potest iudicari. con-<br />

iunctionem enim quae inter codices et editionem Parisiensem<br />

intercederet cum nibil curaret omnesque qui ipsi praesto<br />

erant libros paris existimaret, accidit ut uniuscuiusque scri-<br />

pturas ad arbitrium in textum reciperet, quin<br />

etiam codice<br />

m (238) , Monacensium longe optimo , quia cum editione We-<br />

cheliana saepius congrueret, paene plane neglecto codicem ^ (76)<br />

quern minimi habendum esse qui semel inspexerit consentiet<br />

aeque ac codicem (482) mul to meliorem sequeretur. neque<br />

minus errauit Astius, cum eas quas Nicomachus exPlatonis alio-<br />

rumque scriptis adfert sententias, quia memoriter saepissime scriptorum<br />

dicta apud ueteres laudari uideturignorasse, adillorum<br />

libros emendare studeret; atque maior eorum est numerus lo-<br />

corumquos, cum Nicomachi textum ad sermonisPIatonicielegantiam<br />

quamuis omnium dissuadente codicum consensu redigere


IV PRAEFATIO.<br />

conaretur, hac ipsa re corrupit et uitiauit, immemor interesse<br />

aliquid inter Platonem et arithmeticum nostrum quern post<br />

quinque fere saecula regio barbara genuit. *) primus tamen<br />

Slicomachi in Germania Astius restituit memoHam.<br />

Neque defuerunt qui eius uestigia premerent. libello<br />

enim scholastico scholae episcopalis Cizensis huius<br />

saeculi anno XVJII Godofredus Miillerus addidit<br />

^particulam nonam notiliac el recensionis codicum mss.<br />

qui in bibliotheca episcopatus Numbur go- Cizensis asseruantur"<br />

in qua scripluram codicis Cizensis quern, ,,cum omnia<br />

fere bona cum codicibus Monacensibus habcret communia y<br />

immo nonnulla sibi propria", dignum iudicauit ,,qui in<br />

hicem protraheretur inque numerum codicum mss. iam<br />

cognitorum reciperetur", cum edilionis Astianae lectione<br />

*) Ne cle Nicomachi uita et aetate omnino tacere uidear,<br />

hoc loco quae pro certo dici possunt proponam. Gerasis in<br />

urbe ludaeae prope Bostram sita natum esse auctorem nostmm<br />

testatur lo. Philoponi scholion ad arithmeticae Nicomacheae<br />

libri I inscriptionem; ast ubi uixerit, ne suspicari<br />

quidem possumus. anno fere ceiitesimo post Chr. n. eum<br />

floruisse haec testimonia nobis probant: Nicomachus cum<br />

laudet Thrasyllum mathematieum (enchiridion harmon. I<br />

p. 24: K&.1 TtQogwrYiGdn.sQ'cc rrjv nvftayoQinov navovog<br />

KKTCC TO ovlriu TOV<br />

v OVY cog ^QatoGf vrjs THXQIKOVOSV 7]<br />

cog o AOY.QOS TI^LCCLOS %rA.), quern Tiberii temporibus<br />

uixisse Tacitus et Suetonius tradunt (Suet. Tib. XIV. Tac.<br />

Ann. VI, 20 et 22. cf. luuenal. sat. VI, 576: numeri Thrasylli.<br />

Dio Cass. LV, 11), ipse ignoratur a Theone Smyrnaeo<br />

, qui Thrasylli et omnium fere priorum scriptorum mathematicorum<br />

saepius (de Musica II p. 74; XXXV p. 137;<br />

XXXVI p. 145 ed. Bullialdus) mentionem facit; Apuleium<br />

autem Madaurensem, quem Antoninorum tempore scripsisse<br />

constat, Nicomachi arithmeticam ,,!atino sermone translatam<br />

Romanis obtulisse leclitandam" Cassiodorus narrat (lib. de<br />

arithm. sub fin.). praeter introductionem arithmeticam extat<br />

Nicomachi syxsiQi'diov KQiJLOviKfjs, quod I. Meursius Lugd.<br />

Bat. 1616 et M. Meibomius Amstelod. 1652 ediderunt.<br />

Fragm. Nicom. de Pythagora apud Iambi, de uita Pyth. cap.<br />

-<br />

35. p. 492 Kiessl. Theologumena Arithmetica quae uocantur<br />

Nicomacho falso adscribuntur a Photio (cod. 187,<br />

p. 142 Beck.) qui introductionem<br />

Nicomachi ipsa distinguit.<br />

nostram ab arithmetica


PRAEFATIO. V<br />

comparauit. quam collationem cum non sine industria inslitueret<br />

Mullerus, tanla lamen erat eius imperilia, ut non<br />

solum quac esset inter libros mss., inprimis inter Cizensem et<br />

Monacensem 76 (ft) necessitudo euni plane efFugeret, sed<br />

eliam ut ,,uero simile,<br />

Hum cut codex ille<br />

immo credibile" ei uideretur ^libradebetur<br />

plura exempla contulisse et<br />

Jiinc eorum lectiones quae ipsi probarentur in exernplum<br />

suum translitlisse." recle tamen uidit ab homine Graeco eo-<br />

que docto codicem C esse scriplum multosque locos qui in<br />

edilione Wecheliaua et in Astii codicibus corrupti legunlur<br />

in libro Cizensi castigatos et emendalos praeberi.<br />

Quam Mulleri codicis C recensioncm post decem annos<br />

secutum est ,, specimen arithmeticae Nicomacheae" quod<br />

Carolus Nobbius Lipsicnsis libris mss. quos Aslius igno-<br />

rauerat Norimbergensi et Guelferbytano in comparalionem<br />

uoeatis anno MDCCCXXV 7<br />

!!! edidit. cum neque codicem Cizen-<br />

sem nequc Mulleri opusculum quod Lipsiae et typis<br />

expressum erat et uenumdabalur cognouisset, Nobbius in<br />

primi libri capitibus tribus primis quae sola in publicum pro-<br />

tulit lectioni Astianae codicum suorum scholia et scripturae<br />

discrepantiam subiungere satis habuit neque ex auctoris<br />

cuiusdam Halensis anonymi adparalu quern recognoscendum<br />

acceperat magnum percepit fructum. (quae ante hos quatuor<br />

annos Nobbius ,,exlerni cuiusdam philologi adrepostwn illud<br />

opusculum relapsns" edidit codicum NT ad primum librum<br />

scholia maiore sunt uilitate, quam quae ullum ad Nicomacbi<br />

arilhmeticam emendandam usum praebere possint.)<br />

Is eral adparalus quo adiutus, antequam loannis Philoponi<br />

commentarium edere pararem, Nicomachum oblala occasione<br />

ipse denuo recensui (in programmate Gymnasii Wetfla-<br />

riensis a. MDCCCLXII) codicis Cizensis praestantiam in lectionum<br />

discrepanlia inprimis secutus. sed htinc quoque librum<br />

mullum abesse ab archetypi texlu non potuit fieri, quin paullo<br />

post inlellegerem. Sauppii enim, u. cl., beneuolenlia mihi<br />

conligit, ut codice illo Gottingensi de quo in praefalione ad<br />

scholiorum loanneorum editionem meam plura loculus sum<br />

uti mihi liceret, non anliquissimo solum decimi est saeculi,<br />

cum reliqui omnes post sacc. XIII. scripti sint sed tanlointer-<br />

uallo omnium praestanlissimo, ut hunc quoad fieri posset praeter


VI PRAEFATIO.<br />

ceteros in hac noua Nicomachi editione mihi adhibendum esse<br />

statimadpareret. neque cum codicemGottingensem cum editione<br />

Parisiensi ceterisque qui mihi praesto erant Jibris compararem,<br />

poluit me fugere omnes Nicomachi codices in duo discedere<br />

genera quae hoc schemata dilucidissime lectori propon<br />

ere posse mihi uideor:<br />

archetypus<br />

gen. I gen. II<br />

6> ~~P CfJT~ G 2SH[N]r<br />

est aulem librorum index hie:<br />

= cod. Go t tinge n sis , saeculi decimi, membranaceus<br />

in 4, foliorum num. 266, nitidissime scriptus, litulis<br />

minio adpictis, continet Nicomachi introductionem cum<br />

loannis Philuponi commentario quibus Theodori Proto-<br />

censoris additum esl scholion. (de<br />

praef. ad loann. Phil. edit, meam p. 1.)<br />

codicis historia cf.<br />

G- 2 = manus altera, multo recentior, quae codicis<br />

scripturam ad allerius generis exemplum cor-<br />

m = cod.<br />

rexit.<br />

Monacensis 238, saec. XIV, chartaceus in 4,<br />

fol. num. 19, exaratus a Boemundo Canonico, continet<br />

Jibri primi c;ipila I XIX jtQog tea oAra. (cf. Arelin, Bei-<br />

triige zur Geschichte und Litleratur. IV. p. 586. 1805.)<br />

P = editio Wecheliana, Parisiis 1538 in 4. ex satis<br />

antique generis I libro ab homine minus perilo descri-<br />

ptam esse bane editionem typographi<br />

errores indicant,<br />

cum enim G, ut unum adferam exemplum, litterarum |3<br />

et K ubi ante d positae sunt candem fere praebeat formam<br />

(u), in P quoque saepius /3 pro x, K pro |3 ponitur,<br />

ut legalur: Exdopog cet. in bibliotheca imperiali quatuordecim<br />

asseruantur codices Nicomachi, omnes recen-<br />

liores, quorum nullum cum editione Wecheliana congruereFridericus<br />

Ma It ins, uirdoclissimus, quilibros<br />

illos inspexit, me certiorem fecit.<br />

C =3 cod. Gizensis exeunte saec. XIV aut ineunte XV scriptus,<br />

chartaceus formae maximae, continet Nicomachum<br />

in fol. 33, praelerea loannis Philoponi scholiorum recen-<br />

I<br />

I


^=ra<br />

PRAEFATIO. VII<br />

sionem alternm ct ea problemata quae huic adiecta sunt<br />

edition!, (cf. Miilleri notiliam ct recensionem cocld. Ciz.<br />

part. IX. Lipsiae 1818. 8; et PraeP. ad lo. Phil. r., = m an us altera.<br />

p. 1.)<br />

cod. Monacensis 76, saec. XVI, chartaccus formae<br />

maximae, summa incuria et neglegentia scriptus, de quo<br />

cf. Aretin II. p. 41 (1804). ex cod. C cuius errores<br />

cum suis coniunctos pracbet descriptum esse hunc<br />

librum ueri simillimum mi hi uidctur.<br />

S = cod. Monacensis 482, saec. XIII aut XIV, maim diucrsa,<br />

bombycinus in 4, fol.252; a fol.96 Nicomachum<br />

continet, multis notis interlincaribus etmarginalibus. (cf.<br />

Aretin VIII. p. 521. 1805*)<br />

S 2 = manus altera.<br />

Hamburgensis,<br />

saec. XVI, chartaceus form.<br />

max., ab Holslcnio bil)liothecae Hamburgensi traditus, ex<br />

libro Romano aut Tolosano diligentissime transcriptus.<br />

(cf.Leben desGelehrten Lucaellolstenii. Hamburg. 1723.<br />

p. 7, 44, 94.)<br />

[JVs=cod. Norimbergensis,<br />

exeuntc saec. XIV aut in-<br />

eunte XV, bombycinus in 4, de quo uide Nobbii specimen<br />

1828. p. 5*ct eiusdem edit, scbol. 1862. p. 3. -<br />

libri ipsius inspiciendi copia mihi non facta est.]<br />

F z= cod. Gtielferby tanus, saec. XV aut XVI, chartaceus<br />

form, max., neglegentissime scriptus neque dignus quern<br />

nisi paueis locis adhiberem. (cf. Nobbii spec. p. 6.<br />

edit, schol. p. 3.)<br />

quibus accedit<br />

Ast. = editio Astiana, Lips. 1817, 8, de qua supra dixi.<br />

Neque minoris paene moment! quam codices ipsi habenda<br />

erant ea quae ad Nicomachi libros explanandos et ipsius inter-<br />

pretes ueteres et alii scriptores arithmetic} graeci adlulerunl;<br />

quorum notae hae sunt:<br />

Iambi. =: Ia{ifiA,i%ov Xcthxidlcog . . . TTSQL<br />

l$ciywyi]g . . . koyog<br />

*) In paginae primae marg'ine superiore leguntur Xs<br />

rcoorjyov ml. quae per errorem in fine huius editionis posita<br />

sunt (p. 147).


VIII PRAEFATIO.<br />

ed. Samuel. Tennulius. Dauenlriae CIOIOCLXVIII in 4.<br />

(accedit loach. Gamerarii explicalio in Nicomachum.<br />

Dauenlr. 1667 in 4.)<br />

QafLfiaT t,KOv'Ake'avd()0)g TOV<br />

eig TO TVQWTOV Trjg NiKO(jict%ov aQL&firjprimuin<br />

ed. Ric. Hoche. Lips. 1864 in 4. -<br />

cum scholia loannea in alterum Nicomachi librum nondura<br />

sint edila, codices ipsos inspexi:<br />

lo. Phil. 1 = scholiorum loann. recensio<br />

praebenl codd. GH.<br />

lo. Phil. II = recensio allera codicis C.<br />

prior quam<br />

Soler. = Tov xvglov 2ct)Tr)Qt%ov TOV<br />

G%6hcc slg TO (rpov TOV dsvTEQOv fiifiUov Trjg<br />

TO '<br />

%Qf]GtnVEi ds el'g TS TY\V TIXaTcavog tyv-<br />

YMI slg TK ctQ(WviKa diaavJJfjictTa<br />

itavic,<br />

[II, 2, 3]. inedilum, in cod. H.<br />

Theodor. = %6\iov QsodcoQov<br />

in cod.G, a me editum in praef. ad loann. Phil, schol. I<br />

p. XIV.<br />

lo. Pedias. = 'iwavvov TOV Iledict6irjiiov<br />

{jLSTQYiGecog VM\<br />

fiSQiffftov yijs adhuc inedita, de<br />

qua Fried! einius Onolsbacensis disseruit in lahnii<br />

nou. annalibus XCII. p. 366 83 (1865). praeter<br />

eos quos ibi<br />

(p. 371, 372) descripsit locos in loannis<br />

Pedias. codicibus Monacensibus nullos qui ad Nicomachi 11<br />

arithmetical!! pertincrcnt se reperisse Friedleinius pro<br />

ea quae in ipso est humanilale me docuit.<br />

Schol. NT = Scholia codicum Norimhergensis el<br />

Guelferhy tan i in librum primum quae Garolus<br />

Nobbius edidit Lips. 1828 (in specimine arithm. Nicom.]<br />

et 1862. 8.<br />

Schol. C== Scholia codicis Cizensis ad libr. II, 26,27,<br />

a me edila in libello scholaslico Welflariae 1863. 4.<br />

Boe'lh. =2 Diui Anitii Man Hi Seuerini Boe'tii (!)<br />

Arilhmclica duobus discrela libris adiecto commentario<br />

myslicam numerorum applicalionem perslringenle decla-<br />

rat;i. Vacnundalur apud Simonem Colinaeum e regione<br />

scholae Decreloruin. Parisiis MOXXI. Fol.<br />

il


PRAEFATIO. IX<br />

quibus accedunt praeter Euclidis elementorum libros:<br />

Theon. = Qsavog 2(ivQvalov .<br />

. . TWV Kara ccQi&itrj-<br />

cum Bullialdi interpretation latina ed. I. I. de Gelder.<br />

Lugd. Batau. 1827. 8.<br />

Psell. == Mi%. KCOVGT. *Fehkov GvvTaypct elg rag reG-<br />

GctQctg yLCi&mictTiKag eTtiGTtjfJLKg^ a^t'ityi^rtJttfV nrh. ed.<br />

G. Xylander. Basil. 1556. Fol.<br />

quae Cassiodorus et Martianus Gapella (nupt. libr. VII)<br />

de arithmetica scripserunt ad Nicomachi opus emendandum uel<br />

interpretandum nullius sunt momenti.<br />

Qui adparatus cum parui non sit aestimandus, quin perfectus<br />

sit, multum tamen abest. latent enim adhuc in bibliothecarum<br />

puluere non solum ea quae Asclepius Trallianus<br />

ad Nicomachum scripsit scholia (cf. Fabric, bibl. gr. torn.<br />

IV. p. 5. - C. Miller, Catalogue des Mss. Grecs de la Bibl.<br />

de 1'Escurial. Nr. 248. de scholiorum Asclepii et loannis<br />

Philoponi in cod. ^ condicione cf. Aretin II. p. 41 seq. 1804;<br />

VIII. p. 521 seq. 1805.), sed etiam libellum quo Arabs<br />

ille doctissimus Thibet ben Korrah Abu 1'Hassan sae-<br />

culo nono Nicomachi introductionem interpretatus est qui in<br />

lucem proferret nondum extitit.<br />

(cf. Casiri, bibl. arab. hisp.<br />

Escurial. T.I. p. 390. Nesselmann, Geschichte der Algebra<br />

bei den Griecheu. p. 43 et 222.)<br />

CodicemGottingensem me in hac editione praeter ceteros<br />

secutum esse iam supra dixi; ceterorum librorum lectionem<br />

uariam ut totam adderem non erat ex consilio, sedtamen<br />

editionis Parisiensis et codicum mCSH non erunt multa quae<br />

desideres. libri autem primi capitibus I III, ut quae inter-<br />

cederet inter codices necessitudo lectori adpareret, plenam<br />

lectionum discrepantiam subiunxi. neque ab ea quae in codice<br />

G reperitur scribendi ratione nisi grauibus commotum<br />

caussis me abscessisse quis est qui uitio mihi uertat? scripsi<br />

igitur Faog*), Ivag, evarog (evvag P evveag codd. recentiores:<br />

errauit B.Hase in Henr.Stephani thesauro s. u. Ivug),<br />

*) in C ubique legitur t'aog quae scriptura in problematis<br />

recipienda erat.


X PKAEFATIO.<br />

cct. nequc corrcxi eos locos quibus in G leguntur dveh>,<br />

ctleL ecfv pro


PRAEFATIO. XI<br />

= tgiTOv, CCQTL = aQTiov, liiieis aulem duabus a d ex Ira ad<br />

sinistrani ductis finem sw notari: tV = sfasiv , ut |3"<br />

quod Hultschius esse unit devrsgov<br />

his de caussis scribendum esse censeo y 0(? ,<br />

uel dvoGTOV sit dvetv.<br />


Ed.<br />

Par.<br />

p. s NIKOMAXOT TEPAZHNOT<br />

nx0AropiKOT<br />

API@MHTIKH2 EI2ArarH2<br />

T&N EIS ATO TO IIP&TON.<br />

Oi nakaiol Ku<br />

xarv.Q^ccvros nv&ayoQOv CJQ^OVTO c<br />

yiav sivai yikiav Gocpiag , wg xcd CCVTO TO<br />

rwv jtgo nv&ayoQOV xdvx&v Gocpwv xct-<br />

10 xa Gxvroro^iog xc xvsQvt]TY]$ xc aTt&s o<br />

fj drjiiiovgyiag SIITISIQOS'<br />

clkh' o *ys<br />

%al rsxrov<br />

I. loannis Alex. Philoponi Schol. a 1/3. - lamblich.<br />

('haloid, p. 1 5. Anitii Manlii Seuerini Boethii Arithm.<br />

I. 1. - Scholia eoclcl. NT in Nobbii spec. p. 710.<br />

rOPElOT Nr, om. - PC/* 3. s^aycoy^s om. PiV, Boeth.<br />

r) r//// KQ. G T in a mut. { ; ^ f/gaywyij rijg agi&p. m<br />

iv.^s Eisttyojyiri S rov FSQCCG. dgiQ'u,r}Tiy.rig stsayayrjg<br />

KQUTOV pifiMov cf. libri II titulum. (i II, 21, 1. II, 29,<br />

5. inscr. tuentur Iambi, (nsgl trig NtKO[id%ov UQi&nr)TiKij$<br />

eisttforjs loy. 8) ; Io. Phil, (zig TO TCQQJTOV rfjs A7 tx. aQL&-<br />

1. FEPAZ1NOT P 2. JIT. GmH TITA-<br />

fLgciycoyijg). 4. fig //// dvo G ig TK Svo mil<br />

I, 6. (OQiGKVTO H - 9. GVVK%. P wgnfQ Ttxr. (<br />

10.<br />

awicJg] nag add. CiiSHP<br />

. KD.<br />

110CIIE. 1


NIKOMAXOT TEPASHNOT<br />

gag


API0MHTIKH F.<br />

, TO.TOf, ftOOVOl) TCUVXa ltojg, Og 7tQi%T(a<br />

tft fV sxattip GGjpaTi) v7iaQ%i xcc&' eavra<br />

xcd a^BTK^trcorc^ 6vf.ift/5rjXOTCog ds psrfyti xal T<br />

itoAavfi, rcov itfgl TO VTIOXSLIISVOV (?c5 it<br />

k<br />

rcov dri roiovrcov e^aiQsrcos STtiGrrjiir] sdrlv :<br />

xoTas df xcd rtiv ut%6vTwv avrav , o<br />

GCOUKTCOV.<br />

xal dia TCccvroq ofioia xal aTtaQcchhaxrct 7t(pvx diccrf-<br />

kslv . (ogccvTcog rry avx&v ovGict 7tidia^vovTa^ xcd<br />

txtttirov avrcdv KVQicag ov A.yTai, ra d iv /<br />

yi>6i,<br />

T xcd CP&OQK xcd av^Gi xal psiafat xal<br />

Ttai'TOici xcd iitov()ia (paCvtat dirjvfxw<br />

xcd Ae'ysTcu, ply oiicsvv^cog Ixtivoig OVTK, xa& otiov<br />

avvdiv {iT%i,


NIKOMAXOT PEPA2HNOT<br />

tis OVK %ov , Keel TL TO ywopevov piv , oV<br />

ds ovdenoTs, TO ^tv di] VOTJGSL psTa koyov<br />

TtTOV , Cis KOI KCCTK, TCC CCVTCC 6V, TO $' CCV<br />

K&oyov dolaoroV, ywopsvov T xcd<br />

3 AvfifvoV) ovT&g df ovdsrtOTt bv. svhoyov CCQCC<br />

xcd 5<br />

to, TOVTS6TIV<br />

ds did tpihocjofpiag {lovrjg , vy' tTegov dl ovdsvog<br />

Trjg sv Toig ov6u> KA^O^tas, ic<br />

OVTCC dt TCC }iev xvpiag keyoiisvcc^ TO} 6e. o^icoiw^cog^<br />

CCKQlficdg dlSfatV Xcd dtCCQ&QCOCJCCl TCC TOtg OV()L ()V[l-<br />

4 ftsftrjxoxcc. TCOV TOLVVV OVTCOV TCOV T xvQi&g xcd<br />

TWV XCC&' O^lG)VV^lCai> , 07tQ Bfffl VOIff&V T Xcd Kl-<br />

6&r]Tcov, TCC [iv (JTLV rji'co^iBvcc xcd dkhrjkovxoviifvcc* 15<br />

1<br />

oiov ^cao? , xocj^iog. dwdoov xcd TCC<br />

o^ioicc ,<br />

f<br />

,l idicog<br />

1<br />

xa&ciTca ^tf^s'O ^,<br />

Tel d<br />

V 7ta.QK&(5i Xcd oloV XKTK GCOCjftaV. K<br />

5 TtccQaitkiJGia. TQJV apcc dvo 8idcov TOVTCOV<br />

Tij<br />

CCVTCOV<br />

1<br />

1. oux] (ar; SNF, oux in . nig F ? ytvoasro^ 3. xca<br />

- oni. T'<br />

5^ uvza^ P -<br />

-i. yyyoafvov ^rw TE om. HNF<br />

5. oV] H^yf TKVTCC 6 Ti[iaio$ Ttaaa H^CCTCOVL add. ft.<br />

7. avtj?' ft 8. vcp' om. .S - 9. j]iiiv\ rjii/// G\ om. Jf.<br />

lativ C[iSNT 9.10. (Joqp. fysaig H, Fin 'nig. 12. dtt-<br />

Sie&l&eiv (dteieiVinmg.) .9 dieleiv-r, rs add. F-<br />

P tffUJfxo'rcoe ; - 13. o>v xoivvv F<br />

v.al nad' r W.SivS. KOGp.SHNr, iidem om. ncti a FnvQiats]<br />

re add. 17. T om. H 18. /u, xcdsirca] xat add.<br />

/>'/ - 19. #0(>. GCOQ. CfJiSHNr, Boetli.; GTQKTOS add. S -<br />

20. dvo ctgu C TOVT. std. SNF 21. ro,ui


AL'ieMHTIKH<br />

am' (TO pev yctQ n^fto^ uno<br />

pjtfi'ov ov jcavfTca Ttgoxortrov , TO $ fi^fi^og v.Tto<br />

5 (OQrttidwjg oAot^rog dtaiQOvp,evov ovdaprj dvvaTcu<br />

]v TO[ir)V,<br />

AA' JE'<br />

ctrtSLgov dia TCCVTOC TCQO-<br />

, at ds 87tL6Trj^aL TtdvTag 7teiteQa(S^VG)v sfalv<br />

ds ovdenors, cpaive'eai d^', (m<br />

6v Great] av Ttore fauftyfitf (aooitirov<br />

xct& eavro fo'tt, 7thfj&o$ [Lev 7tl TO<br />

10 ds BTtl TO b'kaTTQv) , akka Tttgi xi ait* cl[icpotv a.(pco-<br />

Vj KTtO {iV TtJLrj&OVS 7tOi TO 7t060V , CCTtO $<br />

TO 7tr]XiKOV.<br />

de f dor rti TOV ito6ov TO<br />

5 f^OV, OtOV aOTlOV, 7tQlTTOV, TA.(OV, TCC OlKOTtt , TO<br />

df ^961? fcf/Uo jrcog r;^ ^ov xt 6vv xi] ngog Tooi'<br />

O%()t, trtlVOOVlLtVOV, OiOV dlltA.d(5lOV, ^ft^Or, b'^CCTTOV,<br />

^ 7tLTOLTOV) TCC OLXOTCC , dfjkov OTl<br />

XCtl<br />

III. lo. Phil, xa A|?. Iambi, p. 610. Boeth. I. 1.<br />

Theonis Smyrnaei Arithm.eap.I. Schol. NT in Nobb. spec.<br />

p. 1622.<br />

1. stoi, C -<br />

yctQ om. C 4. dia ravxrjg CpS St' uvrfjs<br />

NT 5.


6<br />

NIKOMAXOT FEPASHNOT<br />

itav TO Ttzg TOV notio<br />

TO 7CQi TOV XK& CCVTO. [AOVGlXr] ds TO<br />

2 itzol TOV TtQog #/Uo. TtaKiv ds eitel TOV itqttxov TO<br />

{1 8V S6TLV V [LOvf] XKl GTOC6l, TO $ V KlVY\Gtl XCil<br />

K, dvO TQKi XCtTCt TK CCVTCC<br />

TO TtYlklKOV, TO (lV {L<br />

JtltfTfjpttl U<br />

a, TO d CpQO[JieVOV<br />

KCtl Tt<br />

3 OVK ago. TovTcav avsv dvvccTov TK TOV OVTO$<br />

ovd' ao, ri\v iv Totg OVGLV dfoj<br />

xal aoi&[iol ual ao[jiovtxd<br />

OTL ov K<br />

TOVTO TOI<br />

iriv %ov6LV, 'Avdooxvdyg (pi]0lv 6 IIv&ayoQi-<br />

4 xog. ahka not 'A^vra^ 6 TaqavTivos ()^0ttfvog<br />

TOV KQfioviXOV TO ccvTo OVTG) Ttcog Afysi '<br />

xakcog pot<br />

boKOVVTl TtQ\ TCC ^ICi^Tq^KTCC diCCyVCJ^fVaL XCtl Ovd&V<br />

aTOTtov avTOvg ood'csg^ olcc eVrt, 7tol %a6TOV cpao-<br />

Vt,V. 7tQl yCCQ TK$ TK)V ok&V (pVdiOg %AcJg ftlK-<br />

yvovtsg e^fAAoi/ xal 7tol TK>V KKTK (iQos,<br />

oia ivri*<br />

fcO'O'ca' 7C$C T dr] Tag yF&petQiMas xal<br />

g xcd 6(paiQixag itccotdcoxctv a<br />

1. Ca dlVKQ. Ast. 7T060V Cr -<br />

2 2. OCVTO CNF<br />

TO post $ om. r 3. snel] zni PS -<br />

5. TCC ora. P rccvrct S<br />

-<br />

dlKKQlficoGOVOl, H - 6. r}Q[l. PH OQSfJ,. G -- 9. {<br />

KV.QL-<br />

PddGCCl post dvVCtTOV PC(Ji KKQlpcdGKG&Kl H 10. V\ GOCp. H<br />

- 11 15. gwygucpitt &(OQLCC$ cwsgyiuv S 12. TOI<br />

om. m K



dutfkpdfcovra rfiv didvoiav t]{icov ano r&n><br />

xal do^ao'rcov 7tl rd voyra xal<br />

povixd xal dito rcov Gwrgocpcov r^ilv xal x fto<br />

vAiXC&v xal 6o3^ianxo}v 7tl rd<br />

r xal rQO(pvha itgog rag altf&iftf&g , rft<br />

dvhia xal didwryri, 6wyyV()rQa ralg<br />

fyv%atg xal Ttokv 7toorQov ro3 v avratg<br />

T xa&d xal o Ttaod nkdrovi iv rtj<br />

rov itQogbiak^otitvov airtag nvdg evhoyovg iiti-<br />

v doxovvrog rotg [ia&ijiia(fiv, cog v%Qrj6rd i6i u<br />

rov dv&QG)7tivov fitov , ij pv dfH&iirjrixrf<br />

1(iov xal diavo^idg xal Gvvi$


API0MHTIKH EISAFOTH. }?'<br />

7t%OV6aV. (JTI d CIVVY} 1] C


10<br />

N1KOMAXOT TEPA2HNOT<br />

Qtij dlV TOVTO XKi 7tQ6fivTaOV. Xcd X TOV VCCV~<br />

TLOV $ V03TQOV hsySTCU Xcd V6T()OyV(}TQOV , O<br />

^<br />

V aVTK) TO AoiTToV, OV 6VV7tL


APIGMHTIKH EISARQrH. 11<br />

on 7tQoyV6'TQov TO xa KVTO TOV itoog<br />

xad-drtfQ TO piyu TOV (i%ovo$ xal TO rtfauttaov TOV<br />

7C/*OV6iGJTQOV XCtl dv&QCOTtOg TOV TTKTQOg, tf/U' 6V/<br />

XKI at [lovGixal 6v{i(pG)vica did Tftio'doav, did<br />

dice naGoJv XKTU KQI&IIOV i6iv cjvo^aO^evca<br />

xal Tovg aonomxovg hoyovg aQi&{ir]Tixovs<br />

61 6lK<br />

l/fttOJU0?, l]<br />

ds did Ttatitiv ?} $(ia nca did TCSVTS,<br />

TsksiOTdTr] i] dl$ did Ttaowv.<br />

i] GcpatQixr}<br />

><br />

di' aQi&(ir]'tu&js<br />

Tvy%dvi Ttd<br />

TQJV TtOOgyXOVTOV KVTt] tiXS^ldTCOV 0V fioVoi/, OTL<br />

sveffTilQa SGTIV (?5 ydg Kivr\6i cpv-<br />

Trjv fiov^V), ovd' oTi do^ioviccg IK<br />

15 {-flfftftlOVg TK XMV d


12<br />

NIKOMAXOT rEPAZHXOT<br />

VI g. llama rd Kara T%vixrjv dtz^odov V7to cpvtitcog<br />

t-v TCO xoGiiG) diarfTaytieva Kara fte^dg * MM<br />

oka (paCvBrau Kara aQiftyiov vTto rfjg noovoiag xcd<br />

TOV rd oA &rj(t,iovQyiJ6avTog vov<br />

xal xxoG{ifJ6d'cci, psfiaioviiBvov rov<br />

/<br />

oiov koyov JtQO%aQcc y[iaTog SK TOV 7ts%eiv TOV<br />

tQOvrtoGTavTa iv Tfl TOV xoci[i07toiov ftsov<br />

a, VOY\TOV avTOv povov ual navxanaGiv avkov, 9<br />

ov&iccv [isvTOi TYJV ovTcog Tr]v aidiov, 'iva TtQog av-<br />

TOV cog kdyov TtiviKov a7iOTls6&ft ia aviwtavva u<br />

TavTa, %QOVOSi xivYitiis, ovgavog, atiTQa,<br />

i TtavTotoi. avayuatov aga, rov<br />

nai&iiov ETtl rcov TOLOVTCOV vita$%ovra na& savrov<br />

o YiQp,6(S&ai xai ov% wit ahkov, uH vcp' ECCVTOV. itav<br />

ds ffQfJLOtfitsvov s% tvavTicov Ttavrcog rlgiioGrai xal ov- i"<br />

TCOV y '<br />

ovT ydo ra ur} ovra KQHOGftijvcu old rs ovre<br />

rd ovra kitfV, o^aoia ds dAkrjAoig, ovre rd diacpegovra<br />

v, dkoya 8s itoog #JUir]lL&' v7toA.i7tTca dfj rd^ f'|<br />

tm, xal ovra sivca xai didfpogcc xal koyov<br />

xoog aXKri^a S%OVTK. IK TOLOVTCOV cov<br />

dga xcd 6<br />

VI. Io. Phil. 3 vce. - Boeth. I. 8.<br />

VI, 1. TlKVTKG z in ras.(-G)ff?) 2. TSTuy^evaS 5. /to-<br />

P diKv.w. CS Haxansx. H diccfiip. P 6. IK<br />

TOV pro TW, quod in edit. Wetfl. scripsi, e P restitui: ,,eo,<br />

quod numerus imaginis instar est". v.ai oiov Gm; post /loyov<br />

add. Kui G. 2 nuQad .h. TOV oiov KQXTJS loyov TTQO ^apa'y/Ltaro?<br />

P oiov (XQ%rjv y.ccl hoyov noo%. C, idem omisso oiov S otovpost<br />

koyov H -Aui oiov r en TOV ^Qxn?<br />

Aoyov v.ul oiov 7tQO%. coni. Ast. principale in ammo condiloris<br />

8.<br />

exemplar ^Boeth. UVTOV] OVTCC add. CS<br />

avxo^ovov<br />

G 9. TYJV aid. Gm xca did. Cfi om. cet. 10. anors-<br />

ir) CS 12. TOV fTrtffT.] v.o.1 ccvTOV praemittunt Cfi<br />

$rj CSH - 15. TO ^Q^ioGa. CS navTct m - 18.<br />

P 20. l>t TOVT03V P


'<br />

liovixog ctQi&iios<br />

AI'IWMHTIKH EISAl'lil'Il. 13<br />

f(jTi yciQ<br />

TO. f avra<br />

ti'dr] dvo ovGuav re %ovra rtjv ryg Ttotiorrirog xal<br />

OiayzQQvra dhkykcdi' xal ov% sregoyEvrj , 7lQt,tv6v<br />

xal CCQZIOV, xal evaM.d$ vito fraviiartrrjg xal<br />

o qpvtfaox; dtrjQUOdiisva d/Lhijhoig d^coQCcjrcog xal<br />

dco^j cog<br />

'tj itoGovqzos %V{IK In {lovado<br />

TOV 6'f CCQl&llOV TtQCOTt] TO^l) TO ft^ KQriOV , TO<br />

10 ItSQUttOV.<br />

vai did r,)]v<br />

E6TI df KQXLOV ftfV, O 0/O<br />

Kt povadog {isoov<br />

df TO a?) dwapevov stg dvo Ida<br />

ovrog psv ovv o ogog fx Trjg drj^icodovg v-nokifyeos' 3<br />

15 Kara ds TO nvftayoQixov agnos aQi&iiog ititw 6 rr\v<br />

eig TK (ityiGrct xcd td sKay^iGxa Kara ravro ro{ir]v<br />

og , nfyiGta [lev ttrjfaxorqn, $A,a%t,0ra de<br />

xara yvtfuc^v rcov dvo rovrcov yfvtiv av-<br />

v , rtQi


14<br />

NIKOMAXOT rEPAEHNOT<br />

v avTadQxofidovgdvddog&dTfQov TO<br />

povov 7tid%oiivr]g TO fig itia^ v f}Tivi ovv Topi] na-<br />

TO TQOV idog fiovov TOV dgi&pov, oTtcog<br />

) dliTO%OV TOV<br />

QQ 6 3C0*' YlVTlVaOVV<br />

S^K ap,a<br />

dvo sl'dy ovd7toT axgaTa<br />

GVV /lAjAotg. sv de TCD dV<br />

(JTIV o yiovddi &p' ExaTega<br />

7tl TO Ll<br />

KCt<br />

ig KVltitt TfdvTOg p<br />

ra TOV agifrpov i(<br />

v OQCQ<br />

v doTiov<br />

TOVT6Tl A.(X


APIOMHTIKH EIL\4<br />

Wg7tQ aXQOTr]Tg TO UQTUlXig QTIQV XCa TO oT(0~<br />

KOIVOV ds diLCOTG)V CQ7t (5OTr TO<br />

$ ovv aoTiog of^M&ff-og SGTIV o avrog<br />

:. ig dvo itict 6wd(jivog di%a6&vjvaL Kara xr\v TOV<br />

ywovg tpvGw xcd TCOV BCCVTOV {iQcov OTtOTfgovovv<br />

TOIOVTOV k'^COV $i%C


16<br />

TIK ctt ^t ofOfurrt<br />

NIKOMAXOT ria'AL'HXOT<br />

i r<br />

c y.cd y.c dvvc(iifi' vvc(iifi' xal xa TQG)s nv.v<br />

o lav syji , dgriaxi^ ccgnov zcacl TO ovopd p<br />

TO 6f. CWTO Zed KQTittXLQ Kf}TlOV ItiTl "/MTV. TtjV 11<br />

8 dvvaiiiv. ysvsoi^ df TOV clfjTidxi^ dgriov* CO$T ar]~<br />

dt'vct dincpvyiv . aUJ f'S evog xavrag<br />

9 Kvtfa el ylvoiro civ ovTcog' aito povccdo$ cog<br />

Q&]^ Kara TOV dmAdGiov Mr/ov TtoozcdQOvvTi<br />

, 0601 7.a\ dv ytl'COVTKl. OVTOl- TtclvTEf<br />

uQTioC f/'^tp, aMov tie Ttagd vovvovg clurj%av6v<br />

iv EVQStV) oiov xgog vnodfiypa 10<br />

, ft. d\ i;, tg. A/1 t,d, QX>h<br />

10 xT(o^ zed TCKV 61 iit-<br />

fx;V VQ&tj 6%G)l' . TtClVTCdf '/.CU TtCCCOVVlOV 15<br />

^o^ rw?/' eVrog iiror ;*ra {iovddo<br />

OTTOOO^ TCOV<br />

iv TOVTCO vndg^si TOCJOVTOV .,<br />

roi; fig rt^ f'tfrt', xc^r^ dvwteQiGraGiv ut'i'TOi '/.cd<br />

claoiflijv , lav [isv COCJLV acjTioi iti x$Gtic; TCOV ano<br />

ol dvo. etcp' cov K^OfteV^ t} v-<br />

zca cawiftt] utQCOi 1<br />

Ttgog dvi'c/afiL; zca<br />

1. aft om. 7i trtocos]


API0MHTIKH EISAr^FH. 17<br />

egrj jrpo^o^'tfft ret,<br />

fill Tovg nag' xaTQa dvo , SITU iit\ Tovg V<br />

v, t*>%Qig civ 7tl Tovg<br />

) cagT xcci TO okov dvTiTtaQOvvyieiG&ai TJJ<br />

olov koyov %aQiv,<br />

lav TOV QX.YI &(5(iv TOV iLsyitirov, aQTLO'yVtg stiov-<br />

5 {lovddi xal TTJV [lovdda TOO o/lco '<br />

rai avroi ai dx&stifig rcav OQOV, OXTG) yc\Q at [i%Qig<br />

avrov TtvOai, xal piav [ifGoTrjra ov% Z^ovtiiv , $dv-<br />

varov yap v cJ^rtco, AA' dvayxccitDs dvo, rijv ts t]<br />

10 xccl rrjv tg, airtvfs dvraTtoxQtvovvTai, dhktfkccig TCKQU<br />

[Logos' TOV yag ohov TOV pur} oydoov [isv<br />

t


18<br />

NIKOMAXOT TEPAZHNOT<br />

olov ds xard rrjv [lovdda d, xal TJ^ILOV plv rd A/3,<br />

TQiaXOGXodvOV ds TK /3 , KOI TSTKQTQV [ISV TK t, X~<br />

xaidtxarov ds rd d\ oydoov dl avsv dvndiaGrohrig<br />

12 avrd rd TJ. (jv^ft^rjx 6s 7ta6aig ralg ex&sGstii Gvv-<br />

I'tiais dvai TW psr' ccvrag<br />

fiste KvayxaCog r] oitogovv<br />

og 6Tai' aid yag o naga<br />

r<br />

g of vrog avrov ^LB^QI [lovddog iGoC<br />

v&vg vn' avrov 01 vrog avrov itccvrfg 6{ioiag i-<br />

(5\v 1601 xaga yiiav {lovada xal rotg Gvve%6i dl dd<br />

xard rd Kvra 01 fVro's, xa&d xal avxrj y {tovdg Ttagd<br />

rep ^i?r' avrr^v^ o i /?, xal OL 6vvnagd<br />

povdda rcj ^r' avrov g xal o[<br />

S itagd {lovada rc5 ^g, xal TOVTO #' 'ditsi-<br />

14<br />

QOV 7tQO%G)QOvv aitraitirov fvQrjGfig.<br />

Iivrj6&ai dvayxaioratov' edv iv d<br />

xdxivo $ [i-<br />

O.TLQI KHJIV ai<br />

TOV<br />

'<br />

rag TO vito r&v axgov itoog<br />

1. KUTO. rr\v ftov. om. SH povccdav P ra d C<br />

2. s^KKLd. mG. 2 3. uvciSiKGToXfig] dvxl G 2 ex altero<br />

dv8v corr. , SiK6ToXi]g SH - 4. r[\ om. , OXTOJ add.<br />

G 2 evvrt&Sfifvatg C 5. Gcogrjd G l ov G? iGctg C<br />

- slvat] 8vi P svl HP, qui post [lovudu add. yi'vEG&Ki<br />

6. O7COOOVOVV G z OTtOGOJVOVV S OTtOGOVV C - 1. EGTl]<br />

S'GTCCI SH fjiovccd G { -or G. z XQrjGifisvGy P SVBI CSH<br />

9. yvaoLs C 11. TOO~ [TCOV] GV


API0MHTIKH EI1\\I 5>rH. 19<br />

v&v 6vvTsA.ov{Jivov itiov e'tixai TK> VTCO TCOV [is'ticnv itgog<br />

AA^A, ccv d 7tQi66ai, TO VTTO xtiv<br />

'<br />

dno TOV [istfov TCoog eavxo K7tcc% ydg gxr] ev<br />

&t&l!


20<br />

NIKOMAXOT TEPASHNOT<br />

TVJV dvva^iiv TOV psgovs<br />

'<br />

*& avrti o<br />

olov


API0MHTIKH EISArarH. 21<br />

XVVO{lVG)V rCJV 7tQl6(5K>V<br />

ds Kiyvvrai rotg dondxig dorioig, on rovrav<br />

txstvav ds<br />

TO yizyiGXQV axgov [tovov dictiQsrov ,<br />

to &d%i()Tov povov i\v adiaiQsrov* xccl drj xai, , on<br />

5 7t' XivG)v nev >J awinsQitfraGig rc5v [legcov VLTC<br />

axQOT.rJTCOv fig peGovifca rj iiff60r}TCC$<br />

V7l6~ ItiOV TG) (X7t6~ ?} TG) V7t6~ '<br />

aTtzi&ei ro<br />

TOVTCOV $6 KMTO. rT\V<br />

avxi\v d[ioifir]v xal QiraGiv vTtodntkdGiov ro ^i^Gov<br />

T&V dvo axQKtv Gvvre&svrav, ft dvo eir\ ra ^(?,<br />

10 xal avra l(5a a^cpOTS^cc roig 8v6iv<br />

i. IIsQiGdaQnog ds t


i$ dvo iocc diaiQS&ijvai, dvvd{i v<br />

TO, avrov ^iorj %fl , KQ rov vog r^rj^iccrc( lv TOO psC&vi<br />

, ulsiova, 8e TOV svog dr[ir]Tcc V Tc5<br />

5 Kal Tcdkiv 6rlv v avrco nva {iv pegi] ft?) Ivavrica-<br />

S' . . .<br />

rcag dvvdyi


API0MHTIKH EISAF^rH. 23<br />

avrag xar' ix6va rov dgndxtg doriov , svetin ds<br />

7tdvr


24<br />

NIKOMAXOT TEPASHNOT<br />

TOV CCVTOV (Sriyvv TOJ devT8QO) aQi&noj itohv-<br />

Tovg avTOvg avca&ev, {isftQig ov %i S 14.<br />

CS noisiv H<br />

CSH 18. TQLTCO om P<br />

om. P<br />

10<br />

15


Kr\<br />

ad<br />

API0MHTIKH 25<br />

IK iy is<br />

xtf TTtS<br />

v?<br />

9b %V> KG7t<br />

\ ,<br />

GY.S van co'/S<br />

op (DOS' I<br />

ibS I<br />

KQVBI<br />

'<br />

I<br />

Kvri \<br />

' '<br />

I<br />

OTCCV dr} rovg % exaGrov TCo}(,VTC^a(5ia6^ovq iv<br />

10 Grfya rd^rjs JtKgaMrjhovg 7toiov[ivog rovg<br />

cpavr


26<br />

NIKOMAXOT TEPA2HNOT<br />

Xtvog<br />

rog, ovTog ds fig dvo i


API0MHTIKH EISAI^rH. 27<br />

ILOV1] vVKXKL pfT^SlCtt, TQC)<br />

a xai vn ovdevog STEQOV CC<br />

6vvT&evTo$ yeydvvftai) cchkd {<br />

e&sfaris 6 , 7trdxig ds 6 , xal<br />

5 of koinol Kara TYJV savrtiv itoOorrjra '<br />

GvvTS&ewc&v zavroig dvvaivx' civ<br />

aito ityyfjs agavsl xal QL^ avrcov rovrav<br />

VOL , diOTtSQ itgodTOi KakovvTcct cogocvel u<br />

10 a


XIII<br />

28<br />

NIEOMAXOT TEPASHNOT<br />

TOVTC3V yaq sxao'Tog ncd vTto [tovccdog [iTQiTai, cog 1<br />

06 TOOL Xal TfCCQCJVV^lOV %<br />

dia TTJV TOV xoivov yvovg yv


AP10MHTIKH EI2ArrH. 29<br />

dav xov 7tQi KCCI exdgG) ^exQeiTaC xivi ^BXQG) xal<br />

dice rovro dwapsvos xal sreQcovv^ov ^Qog fj ^iQrj<br />

rc5 TtagavviiG), 7tgo$ akkov nva<br />

10 avro oii&wpov iisgog %K>V xtiv dTth&g iv<br />

olov 6 & Ttgos v x' exaxegos yag zccd' savrov<br />

8(5x1 xal tivvfterog, itQos d<br />

KQIVG) pXQG) %QG)VXCU KOI OvdfV<br />

6p,tow(isl iv ttmpoxfyois ) aKKa ro iv xovxp XQIXOV<br />

15 OVK b'GXIV V eKSLVK) Ovdl XO iv XLVG) Jt[l7tXOV V<br />

XOVXG) VQi6KXKi.<br />

*H df xovxnv yevsfos vito 'EQCtroti&evovQ Kafoi- 2<br />

xca xotfxivoV) 7tidri avuTteyvQiLSvovg xovg<br />

l KdiaXQLXOVS % CtVXCdV XY\<br />

xavxy dtaj^co^^Ofisv^ cos<br />

vov jj KOdxivov xivog not idiu ^v xovs<br />

xal d(jvv&xovg, idia df xovs dvxoovg v.<br />

2. V.CCT' ttvro in 4. xoivra fi.] (ifTQO) om. S 5. I'rt<br />

om. H asTQJjrat C (JkSTQOVusvos H - xiv\ ju,.] ftsrgcp<br />

om. C 8. S<br />

nctQ^srato^svos s^srat;. H SVQLOV.II-<br />

XKL C -<br />

SH.-<br />

9. 10. TO avro om. CS 10. TtccQcovvfiov S<br />

. . . .<br />

TOLV Mill. P 11. SKCCTtQ G L 0? G - z<br />

^<br />

15. 16. iv Tovrat om. H<br />

XIII. 2. JZfpi Tv^g ysvicsfog TCOV xgitov TOVTOJV<br />

sidcov TOV TtsgioGov [i 19. lafiovrov P<br />

S 21. [isv G. z ex ss<br />

'<br />

XO


30<br />

NIKOMAXOT PEPASHNOT<br />

3 T0t>g, ds xovg [iiXTOvs fVQiOxo^ifv. 8dxi ds 6


18 TQiccdog TtuvTccg<br />

API0MHTIKH 31<br />

fatira enl {LyxLtiTOv Griyjov,<br />

TOV iitufxoit(9 , rivag olog rs eGri<br />

QiGKG) dvvarov ovra rovg dvo<br />

0V KV<br />

o$ dvvKTOv<br />

ano rov<br />

na sv-<br />

ex eorum, quae in cod. reliquis reperiuntur, numero id suf-<br />

ficiat adponere diagramma, quod cod. Ciz. praebet:<br />

y<br />

V.OGV.IVOV.<br />

v,


32<br />

NIKOMAXOT PEPASHNOT<br />

fog TV% de ual elxrj ILSTQOVVTCC, AA TOV psv Ttoco-<br />

Tcog xi[ivov, TOVTSGTI TOV dvo ^i6ovg vftfoflaivovTa<br />

XKTK T7]V TOV JIQCOT10TOV V TCp 6Tl%Cp Xl[lVOV 7tO~<br />

TQig<br />

TOV $' ait Xivov dvo oittksiitovTa Kara<br />

T()7J()lj TOVT6Tl, XaTCC TYJV CCVTOV '<br />

TOV $VTOOV TSTK^IlSVOV '<br />

TOV<br />

71SVTKKIS<br />

'<br />

ydf)<br />

7tQaiTQG) TtttKlV dvO diafolTtOVTK %aTa XV\V TOV T<br />

'<br />

TOV TfTay^iwov<br />

'<br />

STtTaxig ydy TOV $ STL<br />

V7tQ dvO Xl[lVOV KaTK TY\V TOV TfTCCQTOV<br />

[lVOV' V(XXig yaQ' Xal 1t' CCTtflOOV TCp aVTCO TQOTtCp.<br />

4 BITCC {iSTa TOVTOV ait' akkrjg aQ%rj$ 7tl TOV dVTgov<br />

jih&cov (JXOTTK)) Tivag olog t


API(-)MHTIKII EISArSJrH. 33<br />

varcc rr\v avrrjv vvakoyiav diokov d7tao[i7todi6rov<br />

7tQO%G)Q1J6l 601 TOVrO, COT TO [lV [lrQlV diadt^OVrai<br />

Kara rr\v v TK> 6ri%(p avrcov syxsiiisvrjv rdt>iv,<br />

ro $ TtoGovg diahfLTtovrag Kara rv\v dno dvddog<br />

7t CC7tlQOV SVtaKTOV TG)V doriCOV TtQOXOlirjV jj Kara<br />

xr\v rrjs ^co^ccg diTtkatiiaGiv , xa& v]v 6 peTQCdv rs-<br />

, ro ds TtoGaxis Kara rr\v rwv ano<br />

Evranroi' TtQo^cj^rj^iv. sav ovv<br />

xitiiv<br />

7ti(jrL^tjg rovg dot&iiov$) evQij(Ji<br />

10 JiKiipdvovrag ro iiTQiv ovrf apa Ttdvrag rov avrov<br />

Ttors {iT()ovvrag, 6n ds or ovde dvo rov avrov,<br />

P ovr itavrag ccTtkwg rovg faxsipfyovs vitom'nrovrag<br />

19 lir$G) nvl avrtiv, alka nva [ifv xavrfhaig diatpfvyovrag<br />

ro ^r^d-rjvai vy' ovnvogovv, nvdg ds vito<br />

15 svog [lovov iirQOV[ivovg , nvdg $ vito dvo ^' nal<br />

-'><br />

7thi6vojv. OL [iv ovv ft^da^o5g [iT()r]&vrg) dkkd 8<br />

diacpvyovrg rovro itQwroi i6i xal dtivv&froi) (og<br />

VTto KoGmvov diaxoi&vr g , 01 & vno vog [lovov<br />

[ir()r]d'vr.g Kara rr}v eavrcov notiorrira, v [lovov<br />

IIOQIOV roo}vv^iov ^ov(5i, ityog ro5 TtaQCOvv^G}^ OL dl<br />

VTto vog ^sV, rQov $ noGorriri Kal [ir] r-fj avrov<br />

o dvo 6iov iroT&vrg 7tkiovK ^ov6i rd r~<br />

itoog ro itaoavviiG)' ovrot ovv eoovrca<br />

Y.KL Gvvftsroi. ro 81 roirov pfyog ro KOLVOV 9<br />

1. KVTTJV G 2 cor'r. ex KVTOV dt olovP 1. 2. KHKQK-<br />

%coQiyGi SH 3. fyxstfif vr\v om. CSH 4. itoaovs]<br />

TOOOVTOVS C KTCO Go ex VKO' - 5. rcav ora. P<br />

8. ZVTUKTOV] 7t' CtTtSlQOV udd.SH 12. tiSLflBVOVS H 16.<br />

ovda^cos PC 18. povov om. H 19. iiSTQq&svTSs] (jis-<br />

XQOV add. H ZKVTOV G^^ sv CCVTCO C 20. ertocovvpov<br />

- om. (' 21. [isv om. - 23. 24. ovroi . . .<br />

,<br />

om. GmH rovroi PS OL dsvr. S ovrot ds ncivrsg<br />

slot v.fil GV i&. C in mrg. 24. fta^og] slSog CSH<br />

NICOM. KU. HOCHE. 3


34<br />

NIKOMAXOT TEPA2HNOT<br />

o xa&' avTO ^Iv dfvrf.oov xal g r^roi itQwrcov xal aGvv&srcav rj devregov xal<br />

Gvv&ittov, on Xivcov [iv KOIVOV {ir(>ov [lovds afrt,<br />

rovrcov $ agog rrj iiovadi nai rsQO$ ng dot&^og^<br />

11 xai Jtotog ovrog v7tdo%L i OQttf&UTjtiav vfttiv dvo<br />

7tQi66ol apidgtot, itoorfivavrog nvog xal 7tird%avrog<br />

diayvcovai, itortoov TTQCOTOI agog dMfaovg xal<br />

aGvv&troi i


API0MHTIKH EIZArarH. 35<br />

VKTOV' r] yo avTiTteQiGTuGig v.vxr\ xa vTacpcao6i,g<br />

ttvwyxaiag Y]TOL enl povdda xaraA^ei rj<br />

iiti TLVK<br />

va Keel TOV CCVTOV ap^ityeoV, dvwyxcaas ds TtSQitiGov.<br />

4 6'rai/ {iv ovv eitl {lovdda ai d(paio6ig TtsQaKa&titii, 12<br />

xccl dtfvvd'&Qvg avTovg ditocpttCvovtii Ttoog<br />

, orav ds 7tl tQOV TWO,<br />

LVCCL<br />

dhkrjAovg xal 6vv&8TOvg y.al KQLVQV avrotg<br />

dvca IS'ZOV CCVTOV exslvov TOV<br />

10 yi6v' oiov sdv 6 ny TCQOsfikrj&r] rj{iiv<br />

'<br />

TOV ny a7to TOV ^tf, Af^O^^fTOt %/3<br />

ttiQWV K7CO TOV Ky , /lotTT^ [lOvdg '<br />

KKL 6<br />

TOVTOV dvtacp-<br />

TUVTTflV (XCpaiQCJV<br />

uTto TOV x/3, Q6ccKi$ dvvctTov, stg {lovdda KaTakrfeeig'<br />

did TOVTO itoaTot, Kcd dovv&TOL Ttoog ctAA?yAovg sttil<br />

15 xal xoivov CCVTCOV [HBTQOV r] dnoktcpd'i6tt [tovdg.<br />

u $ TQOvg dQi&[iovg TCpo&eir} rtg, TOV yea KKL TOV 13<br />

Asfaer at,<br />

1<br />

ftO , dtpcagco TOV skaTTOva djto TOV ^iit,ovog'<br />

M]<br />

'<br />

ITK 7tdklV K TOVTOV dtyCtlod) TOV KVTOV XK<br />

(dvvaTov ydo) ,<br />

faint-rcci, J' TCCVTK dvTacpatocj<br />

20 TOV KO., XGCTGchL7tTCU id' % COV Ttdfov TK<br />

1. avTiitfQfatttaig] avTiftctGis CSH 2. xaraA^ot S<br />

3. -A al TOV O.V-CQV om. P 4. povadog G 5. dnocpaivov<br />

slvctiPCSH 6. ore P 7. TTOCO'TTJTI] LGOTTJTI H 7. et<br />

9. dicpOQOvp&vov] = Heralum. SicccpoQovU'Svov G^nPS, udtacp.,<br />

in<br />

1<br />

. : mrg yp. dtcpogov^itvov<br />

m<br />

G. 2H , dicpog. C, in -<br />

1<br />

. mrg ccdtcccpOQ.<br />

(cf. Camerar. explic. in Nicom. p. 12.)<br />

7. /U'yfi P<br />

10. f'av om. If TtQopkrjd'fi PCSH a'qps/U] acpstlov H, in<br />

mrg. Kcpf^s. KtpctiQaJ C 11. ilsLCp&riCav S y.fi - a.v"<br />

KCpCCLQCO P CeVTKCplXlQG) C (XCpCdQCO H - 12. aVTKCpCClQCO CS<br />

ctcpaiQco H 13. Y.a.xulr]yi C 15. CCVTOLS S USTQOOV H<br />

K7tolricp&. C 16.<br />

^ rtQO?dsi'r) PS 17. aqpatptov G 18.<br />

-<br />

shcc] si P dcpaiQco] sncty. S 20. xata/lftTraraft P<br />

xata^tTrorTO Gm isinsTai C /Uiqp-d'ifcJSTca SH TCC KVTK<br />

CS TU insl P 21. ISIUSXKL C . . . tfidoua? dv-<br />

SH ind. P ut solet.


3(j<br />

NIKOMAXOT rEPAL'HNOT<br />

spdonadog ov dvvaxov dycaof&rjvai '<br />

rj KQOC<br />

nvTcov ig dicpooovufvov TOV f STtSQccico&ri, dzvrs-<br />

govg de xcd tivvftfaovs itoog dkkvkovg ccTtocpccivov<br />

Tovg % do%YJg tov xa xal rov [L& xcd xotvov avT(5v<br />

7tQO xft XK&ofaXTJ [LOVCcdl TOV J.<br />

id. naKiv de avco&sv' TCOV<br />

Oi [16V SlGiV V7tQrltg, Oi<br />

iKsfyevcu, d^^^ccig ,<br />

OL ds ava<br />

, 01 xal kiyovrcu rs&eioi. xal eltilv 01<br />

xctl iKKmzlo, iv rij rfjg dvio'oT^rog 6%s6i<br />

i'g T TO TlkiQV XCcl i$ TO<br />

yo Ttttgd TKVTK TQOTTOS avcffdvriTog<br />

rs<br />

ovx av<br />

i'q ) xcc&d7tQ OVTS uaxia OVTS voGog OVTS<br />

OVTS (X7tQ87tinOVTTWV TOtOVT&V XCl(}TOV' 1;<br />

(lV yi Xttl<br />

xal oXiyos^iai , iv $ TCO ^LSTK^V TOV<br />

XCCi TOV fhttTTOV Xi[lVCO, ()TIV /'(TCO, doTKl' T Xttl<br />

XIV. lo. Phil. QLd. Iambi, p. 42. 43. Theon. 32.<br />

- liocth. I. 15. - Schol. Nr Nobb. p. 9.<br />

2. SicpoQoviisvov GmC 8iacpOQ. P adiacpOQ. SH 3.<br />

ds Gm Q P ovv CSH<br />

%f\g] dgi&iiovs add. H<br />

K7to


API0MHTIKH EI2ArrH.<br />

vyelai xcd [isTQiorrjTEg xcd V7tQ7iiat xcd xdkkr] xcd<br />

ra oiioia' cov yemx&vatov TO hsyfi'kv rov aQi&iiov<br />

Eidog ru rskfiov.<br />

XOVra CtVTCO<br />

g {iv ovv dgi^fios 6 vxsg ra itgogiq- 3<br />

p<br />

21 ova' cog civ el' ri GJOI> 7tA,io6i ydgsGiv ij<br />

TshfdiovQyoviisvov f/>/, dexa {ilv yh(o66a$ %ov Kara<br />

rov Ttotrjrrjv, dtxa ds (Sro^iara^ jj j?vvci%ihov t} TQI-<br />

6roi%oig x%orjii8vov 6dov6iv i\ exar6y%iQOV\jj ittei-<br />

10 ovcis daxrvtovg tv STSQK rav %I.Q&V %ov, OVTCO<br />

xcd i rig aQL&iiog Ttdvrarv rcav ev CCVTK) ^LSQCJV f'|f-<br />

xcd tig sv a&aoiGiiK 6vyxcpccAcaca&8VTa)v<br />

VQl6XOiTO 7TlOVCC TCC<br />

KVTOV %G)V, V7tQT^rJg OVTOg<br />

is<br />


38<br />

NIKOMAXOT TEPASHNOT<br />

df Gwayti rov Ag, o$<br />

[ivos rco % KQ%rjs rco xd {iicov avrov<br />

Kairoi IK rwv Xivov {iocov {tovcov<br />

TtfoCova aga Kavrav&a ra ^8or] rov okov.<br />

XV i. 'E/UtTTiJg 8s d^d-^ios etiriv 6 TO svavrCov rots<br />

dei,%d'i6i it7tov&a)s Kol ra sccvrov {isgr] Gvvrz&evru<br />

v(p' fv Kara GvyKQiGiv<br />

avrov skarrova<br />

oig si' n o5oi> rc5^ Kara yvtiiv {iskGJv ij (JLZQCOV<br />

rovrai, rj si' ng jaovoqD^cclao? *ftj, COS VO<br />

1$ VXirO<br />

vo%eiQ ir\ rj Hv rQtt rcov<br />

roiovrov nvo$ &tfQrjuos. at^ig av roiovros<br />

llyoiro Kal otovti itrjoos Kara rrjv rov aQi&[iov<br />

idtorrjra rov fyovros ra i'dia ^,or]<br />

6 T^, 6 id' o<br />

, oydoov, ait8Q<br />

d, /3, a,<br />

skarrova avrov '<br />

f ig ro avro yCvovrai KOI<br />

ikarrova rov % dg%fjs' ra aga (iQi} skfaiTtsi Ttoog<br />

2 rr t v rov okov ffviittfaJQ&Gfcv. Ttdfav 6 id %i<br />

XV. Iambi, p. 43. 44. Theon. 32. Boeth. I. 15.<br />

P IJLOVOV H Gvv&sd'8i


API0MHTIKH EISAI'&rH. 39<br />

e, & ,<br />

ds 6[iov t, skccTTOva TOV 5<br />

| KQj<br />

cr'pa xat ourog fV rots {isostii, agog TO<br />

TO okov e% avrcSv.<br />

22 tcf. 'AvTixsipsvcdv de Tcjv dvo TovTav sidtiv cog- XVI<br />

6 #vt fV axQOTrjrcov rpojrco ftf(Tor^g (pai'vstai<br />

o Heyo-<br />

[isvog TeAsiog iv i(5QX)]ti evQitixopsvos ncd ovre xa<br />

tLQr\ eavrov TtksLOvcc ditorehcjv Gwrsftivra OVTS<br />

iavrov ptitpva rtav {ISQWV dnocpcavcov , aM.' aid<br />

10 t(?og roTi? savrov peQZGiV vitagx&v<br />

Kcd ekdrrovog Ttdvrcog sv<br />

xal sGriv cogitsQ TO pdTQWV TOV<br />

'<br />

ro de i6ov rov<br />

TOg KCa TOV skA.L7tOVTO [ISTCC^V<br />

XCtl TO 6{l6(pCOVOV<br />

TOV O^VTSQOV xal PKQVTSQOV. OTKV ovv aQifr(io<br />

2<br />

15 itav\? , otia vde%Tca iv CCVTG) zivai ,<br />

frevxa xal fjvyxecpaXcacod'svTa sv Gvy/cgfast, Trj<br />

SKVTOV s%G)v [irJTs V7t{Qf$dMirj rco rtAij&ft, CCVTK<br />

Vlt aVTGJV, TOTS 6 TOiOVTOg<br />

i,, 6 Totg SKVTOV {leaediv 160$ iZv' olov<br />

20 6 xccl 6 ny' o TS ya.Q g e%i<br />

SXTOV, aitSQ 161<br />

XVI. Io. Phil. giS pxa. Iambi, p. 44-48. Theon.<br />

32. Boeth. I. 15. 16. Schol. NP Nobb. p. 9.<br />

H<br />

XVI. IIsQi -t\EiOv ttQi&iLOv Gmu, [CCQ. om CSH]<br />

5. to?fl S 8. Ttlsiovct] nors add. H anoxstei S -<br />

add. skccGGco. xat atft GP<br />

10. faurou] IStois SH 11. nlsov xat flccxrov S<br />

9. lif.i^ova. om. SH, qui post dnofp.<br />

13. TO om. G t P<br />

svcpcovov S - 15. sauroo 6s<br />

.,<br />

fTvat<br />

om. H 16. cuyxsqpa/latcoO'f'vTa om. .9 17. KVTOV H<br />

- VTtSQ&aMcov G -si P 18. vnfQ^txlrjrca Gin -lltrca P<br />

- 19. sccvrov] iSiOi$ SH tuV om. H -<br />

olog zcriv CSH<br />

21. lort SH


40<br />

NIKOMAXOT FEPAZHNOT<br />

6vyK(pahaLG3&vxcc 6{iov Kal yevoyiEva g iGa<br />

XCp f<br />


API0MHTIKH EISAr^FH. 41<br />

TLVO. TMV TfAfiav OVT ddiacpooovad<br />

Tiva TCOV ^irj XOLOVTOV TOVTCJ yivo{ivt] rc5 TooTtc).<br />

Kd-6d-(Xi dfi Tovg dito povddog doTidxig dgftovg<br />

4 7TQo(lifidovTa Qfjg v svl 6Tii(p , ku (> ov<br />

p a, /3, , ri, tg, A/5, %d,<br />

23 tr Kfl XCtTCt VO<br />

i rov %rov<br />

GxoTtelv rov i<br />

yivo^ivov ,<br />

xai dtfvv&srov VTIOLQ-<br />

iu kaTtkaGiKGsig avrov xal o dTtorshsG&slg Ttdvr&g rt-<br />

15<br />

hsiog stiTcu' lav ds dsvrsgov Kal GVV&STOV, ov<br />

Kdzig, AA' ETtiGcagevGsig TOV %fjg xal ita.<br />

g 6 d7tOT&OV[lVOg, Xal (XV [lV<br />

Qog xal 6vv&Tog, ndfav TtagaAffyfLg xal ov<br />

rog xal Kavv&erog, TW 6%dr< ig<br />

g avrov na yivo-<br />

, xal rovro '<br />

yi%Qt$ ctXfiQOV<br />

Tta-<br />

TtkYitiicog Ttdvrag srjs dTroyfvvrjGfig rovg<br />

oiov TK a 7ii6o}vc} TOV<br />

1. ///di/f/cpogovocc G dicttyGQOvcu S -. xwv TOL-<br />

[ir]<br />

OVTCOV om. SH . .<br />

xovxtp TOJ] TOIOVTO) yiv. SH 3. d's i<br />

rovg om. P -<br />

4. TtQopipagovrcts PSH vi om. S -<br />

5. ov?] hvs P ,# *is] v^Z GP omnes post QHTJ numeros<br />

om. HF 6. TtQO&fGiv G 7. H-AKGTOV snLGcoQSvovoiv P<br />

8. v.ai aV] cos &V P 9- TroA-UTrAadta'^ftj .S 11. no-<br />

XvnkuOHXGSis S - 12. TCQOSfntGcoQSvoris S 14. 7toM.K-<br />

nkccGictGyi; P 15. STtiGcoQBvGy? P snoiGfig SH 16.<br />

G%ttTG)] VGTKTCO CSH GVV&SGLV^ GVyY.QiGlV S 17.<br />

nccQttlrjcpQ'svTL CS -IsKp&svTt cet. yivOfltvos] nccvrcog<br />

add. CSH - 19. nagcntlrjGtov P TCOICOV add. G2 CSH -<br />

stps^rjs ysvvi]GL$ CS 20. 7taQa2.eLno(Jivov] dno^sntoasvov<br />

Ast. in omnibus paene codicibus (GmPS} librariorum<br />

oscitantia huic uerbo earn subinnxit numerorum seriem, quam<br />

codices HP recte supra (1. 5.) inserunt. C haecce addit:<br />

Otov co? iv vnoSefyfitdri fGTcoGav scps^fjs ol KTIO uovdSo?


42<br />

NIKOMAXOT TEPA2HNOT<br />

/3 xcd GxoxK) TO 6vvan(poTQOV , TL'S KQL&UOS GTt, xal<br />

fVQitixcd TOV y ctQi&n,6v, % cjv 7tQoattdsi%&r], TCQCJ-<br />

xov Kol a6vv&xov' steqwvviiov yag {lopiov ovx %i"><br />

[tovov TO avT


API0MHT1KH EISAr&rH. 43<br />

rcc sv Kvrtj) {isoy, tf{ii6v {isv itagd rrjv dvddcc, rs-<br />

rttQrOV ds TtKQtt TrjV STtrddcC, sfidoflOV<br />

ds 7CKOK TO<br />

p $, rs66aQsgxaidsxarov ds TtccQa rrjv rov ruiitiovg<br />

24 uvwduMStoHyV) slxoGroydoov ds Ttccod rr]v ccvrov ita-<br />

5 Q&VV{LICCV, tfrig iv 1ta6l {lOVttg V7td()%l. eVQIfllGV&V<br />

de rovrov , iv \a\v ^iova.


44<br />

xal d6vv&xov' w<br />

NIKOMAXOT TEPASHNOT<br />

ov<br />

cog 01 dkkoi, TtQWxri xs V7tda%i, Ttavxog<br />

9 d(5vv&Tog (lovrj. itoAvitA.a6idco ovv avxr\v TCO<br />

ftkvxi 6%dxco fig xrjv GaQtCav, xovxftixiv sctvrfj , xal<br />

10 yzvvaxaC [IOL yiovag' aitat, ya$ a [lovdg<br />

XVII<br />


API0MHTIKH EISAF-QrH. 45<br />

P<br />

25 Hal ddicciQftog, G>g civ d^i-xoTccrt] , diacpooccv<br />

7tidt%T(U '<br />

ov yaQ 6Ti TOV l'6ov TO<br />

, TO $ roiovde, AA' svl rpotfai xal rc5<br />

TO Itiov 6Tiv. txpsAei<br />

xal TO ocvfrvnaxovov rat i'6K> 5<br />

ov% ersQCOWfiel xgog CCVTO, #AA Guvcovvtist, cjgjtsQ<br />

qptAo^, ysiTCdV} 6vc>ToaTio}Trjg^ ovto drj KOI iaog<br />

'<br />

i6co<br />

ititiv i6og. TO ds aviGov xal KVTO v,a& vitofti- 6<br />

Si%fi 6%tt,T(u xal eGnv avTOv TO [isv pst^ov,<br />

TO 6s skaTTOl', dvTG)VV{lOV[l8vd T KCCi dvTL&fTU A-<br />

10<br />

AljAotg<br />

KttTOC TtO^OT^TK Kcd 6%(5lV<br />

'<br />

aVT&V TO {lV<br />

yap {itov T8oov Tivog ^f^ov, TO dl b'kaTTOv e^i-<br />

TQOV TIVO b'kaTTOV V GVyKQlGZl, KOL TCC<br />

ov tec avra, AA diacpBQovTcc %ti SXO.TQCC,<br />

cjg TCCCTYIQ xal viog ual TVTCTCOV nol TV7tTO[ivos xal<br />

in didddxav KK\ iiav&dvttv xal TK ofioia. TOV {ilv ovv 7<br />

dwu,gov(Ji,vov TO [isv ZGTL TtokkaTthaGiov,<br />

TO dt BTCL-<br />

jLtOOtOl/, TO ds 7tLllQ, TO dl TtohkaTtkttGlt'JlllLOQlOV^<br />

TO 61 7to2,^CC7t^a6L7ti^^g. XML TOV KVTi&tTOV df<br />

TOV I'GOV G%GIV lo. Phil. QY.K, rj fjisv laoTrjs . .<br />

SGTL Iambi, p. 49. ffaec autem pars relatiuae ad aliquid quantitatis,<br />

id est aequalitas, naturaliier indiuisa esl Boeth.1. 17.<br />

1. diKcp&OQixv m 3. TCO aurco] ai'tic. om. m CCVTO G<br />

4. IGOV bis ponunt G.C -<br />

d^sHsi. P - 5. 6. cos to cpiK.<br />

H 7. yap] rig add. C v.ai avro] xa^' avro v.al S<br />

8. SL%TI om. G tmP did^STcn S - 10. avroiv] KVTCOVV<br />

15. ou-oior] Cp,G.2r<br />

liov[ievcc SH 13. sxarsgov SH 15.<br />

haecce e lamjblichi commentario (p. 50) sumpta addunt :<br />

IJiSl^OV ^SV OVV SGTIV, TCSCpVHS {ISTQOVIASVOV VTtO &CCTjQOV<br />

[xat rci TOLCiVTK ft] Kccxct [ju-fra r] HIKV nctQctfioKriv KKK-<br />

[XL G.,(^r] CCVTOV [avrov? ju,] Knoksinsiv [-It-<br />

OGOVOVV zlccrrov 8s o , , LISIQT]T:LV.OV [<br />

Y.OV ft] OV TOV 7t. GV&yOV {LIU ItCCQCcfiolfi<br />

01T1.<br />

[.It. F] 7t()lq^ft><br />

olov KdvvKTSi. TOV (Jifv] TO per G '<br />

16. xad1<br />

t<br />

vitoS. TOV kutv (Ai. C -<br />

TCl.KGLOV S<br />

dzvTEQuv om. C 17. nolv-


XVIII<br />

46<br />

NIKOMAXOT FEPA'SHNOT<br />

TOVTG), TOVT^Ti TOV fAaTTOVOg, 7tVT tl'dr] 6[lOLG)g<br />

GvviGxarai avrixstptvcc Toig Ttoo-<br />

TOV<br />

TO S^KTTOV rc5<br />

t^<br />

OVTO ncd<br />

{iTcc Trjg vjto<br />

Xtt<br />

x6TG)<br />

a.v-<br />

nq. "Avca&tv ovv TtokkaTtkaGiOv itixiv idog TOV<br />

[Ifl^OVOg TO TtQCQTLdTOV KKl 7tQO /yV6TQOV (pVtil, CJg K<br />

V&Vg l60yi&a^ v.al Z6TIV CCQl&{l6g 6 , 7ttddv BV<br />

6vyXOi6L TtQOg TQOV & CO QIJT CU ^ %WV KVTOV 8V<br />

UVTK) okov 7tA.OVKlUg TJ KTtCCE,' OiOV TtQOg XY\V {10~<br />

vddcc 7tdvTg OL (p%rjg dyidiiol KTCO dvddog do^,d^-<br />

VQl 6VyXOLVO{lVOl, TK TOV JtoA.A.CC7t2,CCC)toV f.VTCCXTCC<br />

aTtoysvvwGi xi] QIKEIK tiKohov&ia' TtgwTog [ilv<br />

o /3 di7tJ.d6tog %ocl stixi KKI kzyExai^ 6 $ y TQL-<br />

XVIII. lo. Phil. QK& QlS. Iambi, p. 51. 52.<br />

Boeth. I. 19. Schol. NF Nobb. p. 10.<br />

1. TOVTCO om. S TOVTBOTI! Tqxoi S si'St ff t<br />

2. GvviOTKvrcii C '6. Ttsvrs om. C 4. Ulufcov] Sr]-<br />

C in mg., quod (i in textum recepit. 6. vnonolk.^<br />

STCL G 2<br />

ytcd . . . Y.ctl . . . nol add. SH xat vno [tSQSs G vno-<br />

Iambi, reliqua om. G<br />

XVIII. TLsgl TOV n o K'ka.Tt hate Co v nal TCOV TOVTOV<br />

C[i - 9. 10. TOV pfi^ovos om. C 10. Ttgoysve-<br />

GTCCTOV CSH 11. xcu fOTLV addidi, cf. p. 47 lin. 5. 6.<br />

T G. 2<br />

6 P os codd. 0?.. f%siC enidav G 12. Q-s(oqri////ai G<br />

&8coQSiTttt, P 13.^' ctna'S,. cf. lo. Phil. QV.&. 16. ccnoyswcoGi<br />

CSH KTtoyv^iLvoC GmP Kxol.ovd'gicc G TCQCO-<br />

TOV S 17. Af'yftatJ Tfj$ parados drjlovOTi add S y]


API0MHTIKH EISArarH. 47<br />

, d 6 TTQCC7tkd6lOg, Xttl ilt KTtflQOV* TO<br />

7tA.Ovdmg f} dna^ foot dig ij Tolg


4S<br />

vav Ttavrr]<br />

xt tcEic;<br />

NIKOMAXOT rEPASHXOT<br />

ivai, xal avrol ds iv Tc5 CCTTO T^g (.lovadog<br />

vraxTK> rav Ttavrov<br />

TG)V<br />

ds siGiv 01 TQLCJV<br />

oiov<br />

ds<br />

, A/3<br />

tie xal Tovroi<br />

yocg TICCQ era povov TtaQ<br />

iovadog svrd-<br />

'<br />

00OV &V V~<br />

aQTttoV, G)$T<br />

rolg ank&s ccQtiOig dt,7tka


API0MHTIKH EIZAr&rH. 49<br />

p<br />

27 i&. 'ETCLfJLOQLOS $ 6TLV (XQi&HOg , TO TOV ftft'fo- XIX<br />

vog dVTQOV Trj (pvtisi idog XKL tfl vd&iy o<br />

v avTG> TOV Ovyxoivo^fvov ohov Kal yuoQiov ccv-<br />

TOV v TI. aMC ccv pv rj{ii6v y TO<br />

5 rai uovUog eidixcos 6 TQJV<br />

TQLTOV<br />

T KCtl V7tlttTQlTOg , KO.I Cil OVTC3Q 1*><br />

JtQO%G)OOVVTl


50<br />

GLQI<br />

X1KOMAXOT TEPA2HNOT<br />

o'Aov TS rov (jvyxQivoiisvav xal psgos avrov<br />

fyiiata $ avrov wraxra v\v<br />

01 ano rfrgddos 6vvs%i$ rroan^d-<br />

rots dyto rgiddos roLTchaGLOig<br />

^ olov<br />

1<br />

6 d rc5 y, 6 7] r


API@MHTIKH 51<br />

xai nQ6f$vTQQV rov &upoqov, xal<br />

iv rotg %fjg [lev TtoixiAcdTsgov sitioiisfta, o


52<br />

NIKOMAXOT TEPAZHNOT<br />

povddog cpvtiixog aptttyto's, zlra Qrjg ot<br />

11 rfg rdav rov TtoKkanlaGiov tidwv. ovxovv rav {isi><br />

do%o[iVK)v dno povddog iiti r<br />

xal 7tl fid&og<br />

/<br />

ya^^ioidcog 01 devregoi ecp' p<br />

xai avrol ya^oadco^ ano Tsxyddog aQ%6- 29<br />

itii Kara ro TTQGJTOV sidog rov ;<br />

dllt&CCGlOl


10<br />

API9MHTIKH EISArOTH. 53<br />

7tQG)TOV<br />

fJiV aQC&llOV TtOOg TtQcSrOV, $VrQOV $ TCQOg $Vr-<br />

QOV xal rgirov Ttgog rairov xal Cp^g'<br />

itdfav ds ai<br />

rovrov diacpogal roidg., %dg, sira svdg , ira $&$-<br />

:> xccg xal ai tiara tgiddog TtgoxoTtrjv TCoGoTrjTfg' xal<br />

avxai iv TK) rov diayQa^i^arog v%Qi navrog Tt^o^o^Et. ngog<br />

$ rov 14<br />


54<br />

NIKOMAXOT TEPA2HNOT<br />

rov d Ttgog TOV y nal j? TCoog g<br />

xal i$ Ttgog # xal tg 7tQO$ t/?,<br />

xal dxo&ov&cjg i'Grjv ual ryv TGJV diacpooav<br />

16 Aaii(ldvovTg. ual iitl TCOV konttiv<br />

17<br />

18<br />

TtkatiCov ts xal sitiyiOQCov 6v[i<br />

, r] ds<br />

da$ xccl TtaKiv avti&et&g Kat^ai ai aito<br />

19 TtQox&QrJGMS i$ SKatovrttda. xal<br />

aito [lovddos a/g fxatovrdda<br />

xal {lovddi pti'tpGi<br />

1601 {ir]Xvv&VT s , oi $<br />

avtovg<br />

avrcov<br />

rag<br />

aidvo 10<br />

G)gT % artat, dvo cp%rjg TMQaywvcav xal dig TOV<br />

ava yi6ov avTGdv TQO{iijxovg rMQaycovov Ttdvrog 20<br />

ajtotffatG&ai, xai avdrtakiv f'| arta% dvo TtaQaKfi-<br />

(jiVK)v TQO[iriXG)v xal dig rov ava {idtiov avrcov<br />

1. 2. articulum omnibus numeris add. C 1. d] rf-<br />

TCCQTOV P - 3. L'GTJV] rot? Ttgo KVTcov add. G.^SH 4. 2,ot-<br />

TTCOV] ds add.^ G%SH - 7. 8. . . . rixfv%fv Stayy. om. C<br />

10. . . . TQLcaSovfisvr) SsvrsQad. G PH { -<br />

diayoQrjGst. PC cf.<br />

lo. Phil, p^t'9", ubi bis legendum d icpOQij 6 si. 13. uvxi-<br />

&STSQOV GI exuTSQUi om. P del. G. 2 sytKzsQfoas C -a&sv<br />

SH Ix SsHccScov G - 15. TCUVTSS G^CS - 16. UQI&-<br />

[toi] statv add. C icoi] I'GOJS PS 17. dvioots G*CS<br />

- 18. povaS/// G -GI G -<br />

{ 2 [isifrvps SH 19. || om. P<br />

21 23. KCCL ttVK7lKl.lv . . . KTCOTSXsiGd'KL 0111. H 23.<br />

Oin. C<br />

oi


Kal<br />

API0MHTIKH EI2Ar&rH. 55<br />

f<br />

roa TtoMa roiavra fpi^or^ov^ivog BVQOI 20<br />

rig KV rQ7tvd {ig)Kiv6pVK rci)d<br />

rV wgrf rov 7tL[i()Ovc; Ttv&iiijv<br />

6 TCQO$ rep oAra dvo [iQrj<br />

%cov xccl<br />

rovrov 6 rgiu<br />

rov avn-<br />

rovrov zm-<br />

20<br />

&ri6rcii, 7tirQi[iQr)g t'


XXI<br />

56<br />

NIKOMAXOT TEPA2HNOT<br />

advvarov pay sv&dds &7to rov ijiiiGv aQ%s()&at' av<br />

xcti nva vjto&wiis&a ft r^tiOr} %iv rov avn-<br />

itgog rc5 oAw, ArJ6o[iV eavrovg TtokkaTtkaGiov<br />

avrl 7tiiiQOvg Tifrswes* xa6rov yap okov xal ft<br />

avrov (Svvri^iva diTckd


API0MHTIKH 57<br />

, Ttocorov Ttoog Ttgarov,<br />

olov rov<br />

s Jtoog rov y, nccl devrsgov Ttgog dvroov, olov rov<br />

Ttgog rov d , nal roirov Ttoog roirov, olov rov -91<br />

Ttgog rov , xccl rsrccQTOv Jtoog rraorov^ olov rov<br />

5 ice Ttgog rov g, xai iys^rig rfj avrr\ ra^sc top' 060-<br />

vovv' ovrog yaQ fvraura ra rov p<br />

7ti{iQOvg rs<br />

v7C7ti^jioovg fi'dr)<br />

uai<br />

xara rovg xa6rov xv&fi&vas ^~<br />

32<br />

Aod^tfarot, 7tidi[iQg itQCjrov,<br />

fircc 7tiroi[i()s ual<br />

10 Ttktov ^rcc<br />

15<br />

25<br />

rovg<br />

01<br />

rv OQOV T noi<br />

ra rov vraxra idr\<br />

1. Jipog y 61 (rvyxpivojv add. H - 3. oto^J a>itfQ H<br />

6. 7. TS v.cci vnsTt. om. P 8. 9. xai fTrtr. xal<br />

. sircc S - 9. xai gTunsvTctfi. om. 6' - g<br />

xai add.


58<br />

NIKOMAXOT TEPASHNOT<br />

2 7tQosXtOv de^ on x yCsv TG>V dvo {ifacav rav<br />

ro5 oAw Fvovr&v rc3 ^isi^om TO TQITOV<br />

TO<br />

7tl d TG)V<br />

iva TJ xarcc tr\v<br />

7tl 6f TKtV<br />

to SXTOV KKI asl ov-<br />

elra Ttmiv$wtQ xal TtaQaittiqatog 7tl rcov<br />

TOLKVT^ 5<br />

3 Ai [isv ovv rov JCQOS n notiov anlal xai


vito<br />

API0MHTIKH EI 2Aram. 59<br />

ds fj vjt07tohka7thcc


60<br />

NIKOMAXOT TEPASHNOT<br />

avTOv fvTaxTcc TO ggp^iuoA^ov, TO fitiTQtrov, TO iiti-<br />

TSTCCQTOV, TO lltlJtfplttOV XCCi<br />

(p%rjg, G)gT T1]V 6VV~<br />

&6lV TOiavTri Tivl TCi^Si 7tQO%G)atV'<br />

Tog, diTtkaGifTtLitfiLTtTog, di>7tA.a()iitiXTog xcti avu- 5<br />

Ao^ov,<br />

xal an' akhrjg do%rjg<br />

TtTOg,<br />

I itdfav ava&sv TBX&.Tt'kaGitriiGv TtranKaGi- 10<br />

xcd Ttafav ava&fv jtVTccjt&a6L(pr][ii,


API0MHTIKH E 12Aram. 61<br />

, 6 6e & TOV 6 6t,7tha(Ji7tiTTKQTog ,<br />

TOV dl,7tA.CC()l7tl7t[l7tTOg<br />

'<br />

6 ds IK<br />

XCCL CCISI OVTOg VTCCXTOVg<br />

avTovg ytwrflfig Gvyxgivcav Totg a7to dvddog sfcijg<br />

xccl TtfQiGOoig Tovg ccTto TtfVTccdog<br />

TtQco-tov itQttrcp, devreQov dsweegcd,<br />

xov rQirw y.al rovg a^^ovg o^ioraysig roig<br />

6iv^ aito dvddos 8s tcov scps^rjg Ttavtcov KQtCwv oC<br />

ccito 7tVTado$ 6vv%ftg itevradi diacpego<br />

(SiscprilLiokiOL xa&aQol SGOVTUL o^iorayelg<br />

10 nno ds TOV rgirov Ttdvr&v rcav<br />

Xt&VTCdV, QLQV<br />

y, g, -0-, t/3, tf, ^<br />

xal sv AAc> 6ti( rcov<br />

it<br />

'><br />

KK-> ^9 5 9 P')<br />

xal GvyxQivoyiivcav iisi&vov kccTT06i,<br />

dVtQOV dswfylp) TQltQV TQITG),<br />

, xccl ilcp^rjg, TO dfVTQOv fldog a<br />

15 Jl i<br />

TO Tcav di7tka


NIKOMAXOT PEPASHNOT<br />

TOVTStiTl TOV i7t^a(}L7tiTTaQTOV VTCC~<br />

KTOV' Kcd rovro sjtivostv TtdosGn rep (lovA,o[iva)<br />

5<br />

iifygig djtstaov. TO de sregov zldog ag%Gvai dxo rov<br />

rQL7t&K(}(,(prillfaovg, OlOV 6 g TTpOg XOV /3 KVil 6 id<br />

itgog rov d Kttl dnhcog 01 na& sftdo^iddcc TIQO-<br />

X&QOvvrsg ngog rovg dito dvddog svrdxrovg dariovg.<br />

6 sira Jtd&iv f'| v7taQ%rjg 6 t it yog tov y<br />

etin TtottTog^ 6 ds K ftgog rov g<br />

xa<br />

01<br />

rovg ecpsfyrjg rQiTtAaoiovg' a drj ccKQifitGreQOV 10<br />

xandetv dvvd^is^a KCCL rgavorsgov sv rco<br />

TCQQSTCL-<br />

'yvaGd'evri,<br />

'<br />

diay^d^an Ttgog psv ydg rov Ttowrov<br />

Grfyov OL<br />

(pt,rjg rd^si, (jvyxfi^isvoc oAot noog okov<br />

4. TIQOS rov i$ -[- ngos TOV |3 P TO. $<br />

. . . TO. 18 . . . rot<br />

d SH 6. svrdmovg om. C 7. SITK om. CSH ra<br />

i . . . ta y SH 8. JTQOJTOS . TptTrA. om. (i\ TtQcarog . . .<br />

SSVT. om. P TCC 6s n ... TK g G ZSH 9 SSVTEQO /// G l g 0%<br />

SsKunkdaioi] dsnddt. SLOCCPSQOVTSC; G., 10. TQinkctGiovg]<br />

TQictSi dictcpfQOVTKS 6r' 2 superscr. .S' diTthuGiovs PH. G hocce<br />

add. diagramma:<br />

10. ovs Sr] C 12.<br />

GTi%oi add. CS GvyxQivonEvoi CSH<br />

cf. p.51. 13.


API0MHTIKH EISArfirH. 63<br />

TOV TtoMankttGiov tvraxra i'dr] In'<br />

7tQOg TOV CCVTOV C/sl TKQWTOV CCTtCtVTfg<br />

TtOOg $ TOVg V7tOCCVG) TtCCVTCtg Cp,rjg<br />

'slg fxatfTog xgog TOV ysfaova' rrjg do%rjg r^ilv duo<br />

5 TOV dsVTSQOV 'yiVO^l^Vl^g 6Tl%OV TtaVTCC TK XQV STti^lO-<br />

QIOV el'dr] xata xv\v oixstav svTa&av yevvaxaL, aito<br />

df TOV rgirov GTL%OV TtQog avrov re TtQ&Tov xal<br />

rovg Gvv%tg avrcj xu& s'xatfrov ot ano TOV Tte^i-<br />

TtTOV<br />

/<br />

7tQt,6()OTtt ylS TtKVTBg ttVT^Tat,6^VOi TO. TOV<br />

10<br />

7ti,{i()ovg TtavTK fl'drj VTCMTCC VJto$& >ov


64<br />

NIKOMAXOT TEPASHNOT<br />

rov giiiov '<br />

avrr] rs xa j] 6vv r-r VTCO TCQOdvrovo[iao{ivr]<br />

avrfi tonv, orav dgL&iiog rov<br />

tivyxot,v6iivov dotftpov ohov re s%ij iv Savrco jrAtovdxig<br />

rj # (rovrttin dig ij rglg rj oGaxigovv) xal<br />

Ttgog rovrci) pfyij viva avrov nksiova svog y\ ft ij y<br />

2 rj $ Jj<br />

xccl (p^rjg. ravra df OVK stiri [lev<br />

r TTpoAf^O'sVra tftoi de r^Lta tj rsraQTa ?j<br />

3 Keel Kara rr]v o^ioCav aKokov&iav. ov %akitov ds zx<br />

rwv itQOfpQaGd'svrcdv vorjtiat xai ra rovrov sidy, cos<br />

ual dTtaQaMdxrtts rotg Ttgo avrov<br />

di7tAa6L7tidi(iQvg, dra dinkaGiSTtir<br />

slra diTtkadLSTtirsTQttpEQrjg , xal avdkoyov '<br />

olov o<br />

UEV v\ rov y dmA.ao'iSTtidiiiSQrjg xal 6 tg rov


API0MHTIKH EISAr^rH. 05<br />

on XQCOTOV ply TO xaKov xccl &Qt6(ivov xal vito<br />

iitiGfYi^v TttrtTOv


66<br />

NIKOMAXOT TEPASHNOl<br />

rOVTGDV X6G)g CG) Tiv KOI OVX<br />

#A/T KTto cpv0G)g avTrjg yfyovvtag<br />

v ysvijtiovTat TtokkaTtkv.tiioi , xcd TOVTCOV avrav<br />

7t TOVTO) TTQa7t.a6iog, ra nwranaGios , xt 5<br />

TI}I/ -TCQoeni'yvcaG&eiGKv r^ilv ra^iv jr' ansi,-<br />

dzvrsQog de f'^rt^o^tog, ^t rovtov nakiv yyq-<br />

(StTttl TO TtQCDTLGTOV Zldog Yj^lLOhog^ STtl TOVTG) $ TO<br />

IIST' avro snirQiroS) snl $ rovroig 6 TV,I f|ijg<br />

7tlTTtt()TOg Xal 7tfa[l7tTOg Kitl CpXTOg<br />

it' aitsiQOV rgitov $ ro 7tL^iog ^<br />

Xttl CtVCC- 10<br />

xcd ltd-<br />

avrov rovrov itidC(jiQkg yizv yyqtfSTCU,) e'jcsrca<br />

7tl rOVTG) TO 7tLTQL^L^g ,<br />

lTCt TO 7tLT-<br />

9 Y.UL sv&vg TO STtinevTatiSQSS, Xttl {l%Ql,g CCV<br />

8 7tQO%M()fj Tig dxofovfrais Toig f'liTtQOG&fv. agog- 15<br />

ovv rwa dft s%eiv olov vopovs<br />

xcd ditccQapaTovg, olg natiK<br />

S KUl ltQO%G)Q1tJ0lS^ ^^ l6OTY]TOg VO-<br />

[ir ksiTtoTctKrvviLZVYi' TccdfjfQogTa'yiiaTaravToc<br />

TtQWTOV TtQCJTG) 160V JtOLrjdCU, VTQOV $ TtQCDTCO 2


API0MHTIKH EISArarH. 67<br />

TQIOV XXiu,VG)v ooG)v oiov fiAatiTccvovTa<br />

q)VO{iva, 6ov fi-rjdsv 7tiTqdVOVTog [irt d<br />

xal x pV t'cTor^rog fv&vg TO<br />

vovTog '<br />

xal x-<br />

P x df dnt^aGiQv fv&vg TO TQtTthddiov, X<br />

37 GlOV %ijg TO TTQa7lkd6lQV Xal X TOVTOV TO 7tVTCC~<br />

! Jtkd()LQV<br />

VTdxTCOg XGCi TOVTO [l%()(,g<br />

TG)V TOVTOV TOV VTaXTG)g 7toAAtt7tA,CC6 '<br />

Tivl<br />

CCf.L. X 6s CW~<br />

avTWv TQICJV TtQOSTccy^aTcov 01 upogioii xa<br />

10 OVTOi OV% K)Q TV%V Ovd<br />

in [iv TOV XQearov<br />

civa6TQa(pVTog 6 TtocoTog rj[u6JUo$) x $ TOV dzv-<br />

TQOV TQlltkaGlOV V XSivOl$ dsVTSQ<br />

iTCC 1tlTTaOTOg K TTQa7tAa6lOV. XCtl C<br />

do- 10<br />

%rjg avTCJV TGJV iitipoghav ixxsipsvaW) cogitfoxal dv-<br />

if) ait Kivov, 03 Ttaocovvfiog tGnv. aito df alhrjg<br />

cpvrjtiav , civaGToocpcog ^sWot, yswewTcu of, yvtisi<br />

IIT' avTOvg iti[iQig '<br />

aito {ikv TOV Y^no^iov ITCI-<br />

CCTtO $ TOV eitlTQlTOV 7tlTQl[lQr]g XOl 7CL-<br />

TOV 7ttTT(XQTOV KOI. 7t' KTtSlQOV X\\<br />

dvukoyift. $11] dva(jTOcpo^ivcov dV, AA' 60- 11<br />

xXlp,v&V TC3V SVTaXT&V 7tiyiOQiG)V ySVVUVdid<br />

T&v avTciv itoogTayiidTcov Oi TtokkaTcka-<br />

fisv fix TOV XQGJTOV<br />

% TOV dVTQOV 7tl-<br />

TQITOV, dlftA.CC6l7tlTTaQTOg $ X TOV TQITOV 1tlT-<br />

1. TQKOV om. P 3. rfjg toot. S 4. TOV Sink. .<br />

TOV TQircl. SH 5. l|ws] om. S sv&vs H TO om. frP<br />

-Acti i'A ... nsvTUTtl. om. H nsvT


68<br />

NIKOMAXOT TEPA2HNOT<br />

12 raptof, xal del ovrog. M $ t&v e% dva6rQO(pfjg<br />

rav eTti^oQiov ysvvrj&evrav , rovr&ri rriv rtt,[i-<br />

, xal rear pr} % dvaGrgotpfjg , rovrsGn tfoAAa-<br />

G)V) TtaKlV TG) CCVrCp<br />

dltt<br />

TQOTtG)<br />

TG)V CCVrav<br />

TtQO^TKy^axov aTtoyevvtoVTKi OQ&MS rs Ki[i- 5<br />

vav xccl ava


API0MHTIKH EISArSrPI. 69<br />

p<br />

38 ex ds T% iv eTtirsraQTOLg dito plv rov vrtfyfyovrog<br />

rsrgaxiseTtiTts^Ttros , x 8s rov eldr-<br />

cog<br />

<<br />

?<br />

x rov<br />

IJTOl,<br />

xf, x, tg<br />

X, fl-5, TCK<br />

ig, Ag, ^.<br />

10 fjri TtccGav ds rc5v dia&vx&eiGKtv xai acp' r\


70<br />

i\<br />

n<br />

TOl<br />

17 TtttklV d H<br />

NIKOMAXOT FEPAEHNOT<br />

tg, (id,<br />

1<br />

jiO , oj,<br />

psv rov shaGGovog ^ SmkuGiu nal<br />

v rots<br />

(X7tO d TOV<br />

CDS<br />

%Ki KCITK TCC<br />

v rots<br />

K ^g, 10<br />

%ijs SK ttTCBlQOV CCVakoya XCcl<br />

VttQ[JiO-<br />

6. STiLTSTQUKissniTitfjiTiTOv CfP 7. xs, [is, TtK iuuerso<br />

ord. GPH 8. 8in\KGiSTtLxsTQa.ns^mog C 9. Iv TO^]<br />

0101^ C H.^srtinsvTEvvaTOQ C 12. wg sv TOI$] olov C<br />

13. 7ro:,iU-fc, xs r^add. 6^(0111. rj) 14. ra f |. PH Ib.svQiyGsis]<br />

CSH[N]P (^adscholialo.Philoponi cf. p.XVed. meae)haecce<br />

addunt: snl nccccov pivroi T&V SMSLfjiZvcov &SGSCOV [SK&S-<br />

6801V fjf.,>Sr\ TtUVTCOS 01 KY.QOI TETQCtytOVOL SlGlV' OL ds [l60l<br />

-COV<br />

% TOJV TtlsVQWV KVTCQV kit ttA/l^'/lotg [-CCIS (f> -g C -Kg<br />

6 [ilv TCQCOTOS [a G. 2] tfjs ocT<br />

T]<br />

yivoiizvcov \yv. G~,S \ KK\<br />

vtoGrjs sis TOV skdtrovct [shaxiGTov C] Trjg yivofisvrjs (i<br />

ficcivsi, sv a^cpOTSQULg 8s raig yevvTj&efaaif 6 ?G%KTO$ xa<br />

lisi(ov TTQ


API0MHTIKH EISAr^FH. 71<br />

1. (. 8): 6'0a, Trcog Ix r/Jg iGoxrjTog aTtoyswavTcci tec<br />

; SVTUKXK<br />

nsvxa.nl.<br />

dnxanl.<br />

lva.nl.<br />

a a, a<br />

cc y v<br />

cc 8 t?<br />

K S<br />

a g As<br />

a u&<br />

cc<br />

a.<br />

cc<br />

2. (. 9): OQOC, nco$ OL rjtuoAiv dinlccGicov ccvcc-<br />

GTQUCpSVTCOV '<br />

opa, TTCO? oT inCtQiroi ano roiv TQinl.ctGLwv, d<br />

xca TOVTCOV<br />

, TTOO? xai of enirsrctQroi ano TUV TETQKnlctGiuv KVK-<br />

V<br />

^<br />

I? 6 K<br />

15 x xs'<br />

cog xat ?H rc5f TtevTccnXcxGicov ot sninsiinxoi '<br />

? x TCOJ; s^anl.aGLCOv ot fcpsuxoi '<br />

x TWV 7iTKnk


72<br />

NIKOM. TEPAS. API0M. EI2AF.<br />

xal gx TCQV by.ra.nl KG L 03V ot snoySooi' 8 r] a<br />

%8 ofi na'<br />

'<br />

xca K T03V fvanlaGicov ot nvaroi<br />

net -9 1 a<br />

na '-i o'<br />

'.I X av 01 ni8sy.ctTOi' Q i a<br />

3. (. 10): OQCC, nois KVKGTQOCPCOS<br />

dnsysvvrjGctv rovg sn<br />

sninsumoi<br />

XK ei'Sr] tov<br />

Q Qi QV.U.<br />

(in exemplis tribus extremis cod. G articulum adponit: 01<br />

. cet.)<br />

Ttkog P. Tshog TOV ngarov a QI&pyx IK fig<br />

i$ dvo TOV FfQctGvvov p. Ts'Aog TOV ngatrov iKiov HF<br />

01


Eel.<br />

Par.<br />

r<br />

3 9 NIKOMAXOT TEPA2HNOT<br />

.<br />

nT0AropiKOT<br />

API0MHTIKH2 EI<br />

N EI2 ATO TO AETTEPON.<br />

'Eitsidri 6TOi%iov liysxai nal k'tixw , e% ov I<br />

GwiGxaxaC xi KCLI sis o sAdftitiTOv avahv-<br />

Tca (oiov ygdyiiiata ^ev rrjg<br />

ia hsysrcu, e% avrav TS ydg<br />

vaQ&QQV Cpavrjg v.al sts ccvroc S'GXUTU<br />

10 srai- g&oyyoi ds ftfAwdtag ditaGris, dcp' cov K<br />

G&(u nccl sis ovg dvakvzrai' xoivij ds rov<br />

id teyopsva tEGGaga 6roi%ta<br />

I. Io. Phil. Schol. ined. rec. I (codd. (rH) K d; rec. II.<br />

(cod. 6') a~ d. Boeth. II. 1.<br />

1. FEPA21NOT P 2. HT@ om. P<br />

(<br />

S Tov KVTOV CT<br />

slsaycoyrjg om. P<br />

Tov KVTOV ft? dvo dsvrfgov p<br />

4. ft'g roc dvo S<br />

3.<br />

-<br />

Piftliov dsvr.<br />

(om. rajv sis 8vo) H<br />

I. 6. 8J,K%lGT. GVVlGT.\ 7CQCOTLGTOV KQ^STKL C &U-<br />

XLGTOV] yg. G%atov P in mrg<br />

1<br />

. 8. yctQ om. G - 9. xat<br />

. . . dvctl. om. GP 10. 'qp' atv] cpcdvfjg P 1'J. oroi-<br />

%tu~] KTtfQ add. C dnhog P


74<br />

NIKOMAXOT FEPA2HNOT<br />

>?(>> y' s<br />

avxcjv ^ 6v


API0MHTIKH EI^ArSirH. 75<br />

itQGJTov OQOV, TO ds teKp&sv dito TOV<br />

Td Tr^v dcpaigfOiv dsvTsgov ra


III<br />

76<br />

NIKOMAXOT TEPASHNOT<br />

y. ditag TtokkartkaGios xotiovxcov<br />

r\yv\6txai koyav avxiTta^ovv^iov avxa , OTtoGrog av<br />

avxog &v xwyfcdvi] CCTCO {lovadog , ovrs ds nfaiovcav<br />

2 ovx skaxxovav ovds(jLia pyxuvf]. diitld


API0MHTIKH EISAr^rH. 77<br />

a, ft (5, 17, tg, Aft tf<br />

\6xiv 6 /5 ftT rr\v povada, vos<br />

ovrog fiyuokCov povov rov y, ogn,g ypfaovs<br />

jttdxrtxog OVK b'tinv ,<br />

'<br />

f<br />

iva not AAog avrov ye'vrjrcu<br />

6 TtQcarog CCQCC diTtkdtiios vog povov yevztinv<br />

^fUoA/ov, 6 $ &vrQog 6 d dvtv<br />

"<br />

'wv , avrov [iv yag o g, rov d g<br />

6 t) 1<br />

, rov d & ovx 6nv AAo^, YiyuGv yap ovx %M'<br />

o df y] rgirog av dntka6io$ rgiciv ^utoAt'ajv etirai<br />

f<br />

10 Ttariio . r\\ \ 5<br />

/><br />

/ r/ cv\<br />

vo u,v rov ip TCQOQ avrov . fTfoov of TOV<br />

n^ jr^og TOV tft rgirov d rov K itQOg rov tty, rra()-<br />

TOU d ovxn dia ro xaftohixov, o yag<br />

ovxn 7tid%rai' 6 $ tg r&agrog GJV<br />

T66c/.()cov viy^srai TyfitoAtCu)!/, roy T xd , rov Ag,<br />

15 roi) vd xcil rov Tta rBkevraCov^ f<br />

iva ICJKQI&IIOI avdy-<br />

rots yevvri


78<br />

IV d.<br />

a<br />

NIKOMAXOT TEPAXHNOT<br />

flV TO TtkttTOg<br />

1<br />

y.L<br />

"<br />

TOV tlV TtQCOTOV TOV y<br />

VOg {LQVOV B7CLTQLTOV r]yOV{lVOV hoyOV TOV d TlQOg<br />

avTov, ogTig dnoKtefei sv&vg etegov yevetiiv o^ioiov<br />

TQITOV ydg ovx itid%rat, o d,<br />

,1 '<br />

ovx aocc ovd' iitC- 15<br />

TQLTOV<br />

TOVTO dveiv {iova)v JUTQIT&V xaTdo&i hoyav TOV<br />

fifVTfQOg df TQiTthttGiLOg GTiV 'O', did<br />

T t/3 itgog avTOV KCCI TOV tg rtQO TOV t/3' o ds tg<br />

T'Y\V TtQOfiaGLV AotJToV, TQiTOV yd() OVK<br />

2 V ttVTG).<br />

%rjg dl TTCCXTai TQl7tAd(JlOg Kt, SV<br />

fcri dito [tovddog %G?p r\<br />

IV. lo. Phil. rec. I, i& ir\. Iambi, p. 72. 73.<br />

Booth. II. -2.<br />

bunt: dmlKGioi Y.KTO. nlctxos riyuolioi TOIV STIKVCO oi<br />

TQinldcioi 01 diccycovioi nccvTsg; idem codd. seriem perpendicnlarera<br />

octauam addunt: -AT<br />

CIVVY},<br />

IV. 1. TQiTilctGicov H nag ad siy {ice om. H 3 11.<br />

Diagramma om. PH-, codd. CS, in quibus series septima<br />

\py.& ... d<br />

t<br />

L t% abest, hasce praebent inscriptiones: TQinldciOL<br />

AdTK 7TATOg - STtLXQtTOL rCOV STlCtVCd Oi nd-CG) TSTQCtnld-<br />

GIOI 01 diayavioi 12. ravxbv P 14. anoxlsiGei P<br />

16. S%Sl H - 17. 18. TOVTSGTL l& P - 19. TQITOV (r -<br />

20. xiva om. H 20. 21. %si SKVTOV C st-et avrov H<br />

22. T.QinlctGicog CH<br />

'


APIOMHT1KH EISAFfirH. 7 dwyQaiipccrov S'GTCO 601<br />

10 Tooitog TtaoaTYjoovvTi , on xal wxavftu -q<br />

xal iv rotg<br />

, xal ad ovrog p%Q(< itavro$' 01<br />

v yag 7cl itkaTog 6Ti%ot 01 avordxw,<br />

lav a<br />

OftOtcog s^ovai Tovg vit avrovg<br />

xovg ds v7tOTivovxa$ diayaviovs rov<br />

avrov yi!vov$ TO 6W$s xal {lovddi<br />

O StiTl TQLTtka


80<br />

NIKOMAXOT TEPASHNOT<br />

V s. AOITCOV 8et, 6ci(pr]vi6ttvTccc; TKS rwv<br />

><br />

W#(7t$ 9 TiVOV TQG)V KTt<br />

2 7tl rd rrjs fisccyoyr^ aKohov&a. 01 itQwrot, roivvv<br />

rov 7ti[iOQiov dvo koyoi 6vkkif](p&evrE i$ TO avro<br />

rov rov TtoklaTtlatiiov TtQwrov hoyov, rovr- 5<br />

rov diithaGiov' nag ya$ di7tha


API0MHTIKH ElSAriiFH. 81<br />

TOV ojioywovs avTcov 6vv%ov idovg, TOVT-<br />

(}Tl TOV dsVTSQOV TtokkaTtJLCCVlOV , O7tQ 6x1 TQl~<br />

x&cctifov' in yag TtavTog dntkaGiov xal yiiiokiov<br />

6vvT&VTO)v TQiTtkddiov % civttyxrjs cpvTo.i' oiov<br />

5 en el TOV g diXAtttiiog o ifi, CCVTOV dl TOVTOV rj^toho$<br />

6 t^, v&vs xal TQiTC^aGios 6 w\ TOV g' xai<br />

TOG) TQOTtC) KV ^ TOV t/3 &&& [l60V ltOllV,<br />

TOV TOV g ^uto'Atov TOV -O1<br />

, TO KVTO pot<br />

xul 6v{icpc)vov 0Vfifiijf5etai>' TOV<br />

v TOV TQiTtkaGiov },6yov 6<br />

TOV g' rftuoMov CCQK xal dmlatiCov TCQK>-<br />

TK)V fidcJV 7tlllOQLOV XKl TCOAAcCltkaGlOV GVVltiTOCTCU<br />

TO devTfqov idos TOV TtohkaithccGiov TO<br />

xal stg KVTCC d TtdvTcog avcc&vfTcu. idov 5<br />

TOV /3 TQl7tkcc6iO$ G)V ^i ^GOV TOV 7, Og<br />

dvo Adyovg TtaQctd it ) i, TOV [iv y(u6hov itgos TOV<br />

/3, TtQog avTov d SntKuGiQv TOV TOV g* av d\<br />

v.ca 6 TQiTthaGiog OVTOQ $VToov fido$ taV TOV ito),-<br />

).K7t).a6iOV 6VVT&rl TUTQiT(p dVTOC) ldl OVTL<br />

20 TOV 7CLllOOLOV yivWI? CV % d^(pOTQG)V TO<br />

TOV TtokkaTtkaGiov idog, TOVT


NIKOMAXOT TEPAZHNOT<br />

7tL7t^7tTCO<br />

VTCC~<br />

TOV QcCTtkaGiQV, XCtl TOVTO<br />

tvu VTaxTOi oC % ccQ%fjs 3tohkcc7tA.d()<br />

XTOV T&V % agxtis iitipOQfav ditodoTixol VQi6xa)v~<br />

TKL TG)V 7tl TO<br />

601<br />

g. Md%Qi plv<br />

GlOg $8 [IST* SiriTQltOV<br />

ds [isr* tTtiTSTccgrov<br />

ovv rovds i<br />

Ttcog s^ovrog ftotiov<br />

XOIT' faJLoyqv xv<br />

it$ TOV<br />

Ka<br />

e TOV<br />

TOTtOV TOVTOV VJlohoiTtCt 1tQOg7thrjQG)&Y)6TCU diakl-<br />

TCQVTOV TtCtfav rHlG)V<br />

XCtl<br />

/<br />

7tQOT%VOko yrj()dvTG)V TQK 15<br />

7tQOVQyiCaT()aV TYJV GKttylV SftOVTO. X TCJV<br />

flrjXOT&v TO) xa& CCVTO noGti md pr] TW itgog<br />

Ttog fyovn, ctifl yap di' aMylcov (pihL nag<br />

md acKprjvi&G&ai TCC iv TOlg pa&ria<br />

$ xgrj TCQQSTtiGxoTtriGca xal 20<br />

S'GTI TCQL TS ygc/iiiiixcov CIQI&IIWV xcd<br />

VI. lo. Phil. rec. I, xa<br />

p. 80-82. Boeth. II. 4.<br />

3. SVQlGHOVTCU P 8. HOg KV .<br />

fioi. C, om. P -<br />

; rec. II, ir\ HO-. lam hi.<br />

.<br />

-frf'A??? SH' - 9. GOl]<br />

avftftatvai P cpavriGSTUi H codices<br />

Nicomachi uerba schematibns inlustrant huncce in modum<br />

compositis :<br />

y<br />

S<br />

cet.<br />

VI. 10. ovv om. C 14. TtQOznlrjaco&rJGOvTcti C<br />

20. &S(oaoviJiFvct H 20. 21. fTricrxoTr. xat ftsctGaGfi'tti $<br />

21. yQaaaL////K(av G


APIGMHTIKH EISAr&TH. 83<br />

smnsdav xal drsysuv, xvfiix&v rs xal GyaiQixtiv,<br />

zed iGOTtksvQcov KOI GxaArjvwv, nfav&idcav re xal<br />

xal 6


84<br />

6XQK*v<br />

3 xal ig<br />

NIKOMAXOT TEPA2HNOT<br />

^r^axoyQafpia TQava&rjvai<br />


APIGMHTIKH EISAr^rH. 85<br />

v dvddi, tlx v roiddt^ flxa iv xxgddi xal ^rt g ev<br />

rots cixoA,ov&oi '<br />

dut(frr)(ia ydg 6xt dvetv ogcov TO<br />

rj ydg Gxi TO stp<br />

Ttgcoxov ds dta0rrjfici ygaLiLi^ 4<br />

9<br />

sv dut&tccTOV' dvo<br />

5 ds faxatypara faup&vtta , titupcc-veta yd$ IGTI ro<br />

di%ij diaGratov' XQLU de diatirijiiara (Trf^foV,


86<br />

NIKOMAXOT TEPAZHNOT<br />

7 ro 8i>%?i diatftatov ndvtag ejticpdveia etirai. evl aga<br />

rykdrtorai, ertitpdveia GtegeoV) evl ds Hal<br />

fv diatirarov noi<br />

VII<br />

ri eTticpaveiag ovtia ro lq>'<br />

evog [i6vov rerev%v la dacGrrjiiarog , Kenco^ievi] de<br />

GreQeov dvtil diaGrrftiaGi' ravrt]g $' avxfi AetTtetcu, 5<br />

evl diatfrrjuaTL TO Gyiistov' dt,a rovro<br />

elvui adiccGTarov GTepeov ^,ev<br />

noiievov, eitiyaveias de dvtii,<br />

J. "Etitw ovv 0ii[iftov agyYl dioctfTrjiiaTOS) ov did-<br />

to ^' avro KCCI ao%r] yQK^i^irjs^ ov ^QCC^I^ 10<br />

Kcd 'y^cc^i^rj agxtf eTCi^aveia^^ ovx eitiydveia $,<br />

rov oi%] iaGTarov, ov<br />

eixot&g 17 eTCitpuveia uQ%i] {isv (7cJ 4arog, ov<br />

de, KKL rj avrrj CCQ%YI {Lev rov T$i%rj diKGTKTOv,<br />

3 ov iQiyr\ ds dcocGrarov. ovrcog dj} %al ev pw povag &$%?}<br />

rotg aoi&- io<br />

itavrug otQi&iiov ey sv did-<br />

XCCTK povdda TtQoflipK&iievov, o ds }>Qa^LKog<br />

V eitntedov d^pov ecp' sreoov did-<br />

eitiTredag Tt^arvvopevov^ 6 ds eitinedos CIQI&-<br />

do^r] Gtegeov dQi&pov em TQLTOV dui&Wftia 20<br />

TK e% dg%ijg fid&og n TtQogKro^ievov '<br />

olov<br />

yQa^i^ol pev efoiv<br />

01 dno dvddog aQio^evoi xal KKTO, {lovddog<br />

eirl ev Kcd ro avro 7tQO%MQOvvre$ did-<br />

6rr][ia , eitiTtedoi de 01 dno TQiddog aQ^o^evoi KQ%I-<br />

VII. lo. Phil. rec. I, xO", A; rec. II, x/3, xy. - Iambi.<br />

jp. 8082. lo. Pedias. in lahnii nou. ann.XCII, p. 371. 372.<br />

Boeth. II. 5. 6.<br />

1. ffftori om. PH 2. \CHTXOVXKL H 5. avrfjg]<br />

rrj$ yQapiJifjg H - 7. letffOfisvov G Isinov^isvov P<br />

VII. 11. xat yg.] yptt^jEMj om. G, ri 81 VQ. SH - 14.<br />

7) KVTO G - 17. XQofiiBttfriLtvri H 20. enn^Lrov P<br />

21. TIQOS] nctQK H (brdq GP


API0MHTIKH EISAFSirH. 87<br />

nul diet x&v e^rjs Gwe^cav d^i^^cov<br />

pdvovTsg Keel TYJV ift&wpiav xara<br />

TYJV ccvTrjv rd&v' TCQCZTIGTOI ydg TQiyodvoi, eira<br />

avTOvg TSTgdyovoi,, sira [isr* avTOvg<br />

5 LTcc 7tl TovToig zt.d'ycovoi,<br />

xccl STtrdycovoi KOI iit<br />

aiteiQOv' TtQogayoQSVovTai de, wg g>a(tV) and rcov<br />

drto tgiddog ecps^ijg Ktiyisvov KQI^^^V. dgftixajta-<br />

4<br />

rov KQK 6%rj{itt<br />

srtiTtedcov KKI 6TOi%tG)ds(}TaTOv TO<br />

iQiyttVQv svQitixsTtti' xcd ya.Q iv rotg<br />

10 STtiTtedoig edv dno T&V yaviwv STCI xd<br />

av avrov<br />

fe rgfycova ToGavra, oGaiiteQ<br />

ai TtlzvQaC, avro ds TO XQi'y&vov TO<br />

CCVTO Totg ft'/Uotg Tta&ov SL$ STSQOV TL ov psTaTteGst-<br />

15 rt, AA' slg tavTO' 6TOi.%iOV CLQK Keel iv faswois TO<br />

p TQiyavov' sis OCVTO ydg TK AA Ttaina etvahv&tcu<br />

47 avayxatog, KVTO ds OVK fig STfQOV' zx TOVTOV av<br />

xal GvtiTaCri TK Koiitd, avTO ds 6*% .ovdsvdg' GTOI-<br />

%etov CCQCC TOVTO Tcav AAwv,<br />

CCVTOV ds ovdsv. xdv 5<br />

20 Totg KQi&iLYiTiKotg de sitLrtsdotg TtQoiav 6 Xayog (le-<br />

TO A.y6lLVOV.<br />

[isv ovv itinv d^id'^idg<br />

VIII. lo. Phil. rec. I, Aa, A0;<br />

6 duxJivo- VIII<br />

- rec. II, x^. - Iambi.<br />

p. 82. 83. - Theon. 18. 19. 23. - lo. Pedias. 1. 1.<br />

Boeth. II. 6.<br />

35. hasce addunt codices fig-uras: \<br />

aaccccccctctct A<br />

v/A<br />

K ~~" 1"<br />

8. sTtmsdcov om. H 9. yccQ om. G 9. 10. snl TMV<br />

Cov emnsdcov S cf. Eucl. I, OQ. x. -- 11. f'xaffro? G<br />

1^. roaavra] TW


NIKOMAXOT rEPAEHXOT<br />

ig (Aovddag xcd rrjv<br />

iGoitksvQov GftYiiiaToyQafpav ig<br />

ov vTtodfiiwa 6<br />

xcd 01<br />

xa ,<br />

(p6$ij$' 6%ruiaToyQK(piai ycV 6vv%d)v xaTd SVK 6vvTi&-<br />

Kv.Ta ya$ JlxdtiTrjv tfvv&stiw xcd TtoogGcjofv-<br />

6iv oi fVTaxTOt, TQiyavoi tivvTskovvTca' olov x ply 20<br />

TOV cpvGixov Gxiyjov TOVTOV<br />

tt -> fa y? #9 5 ^ ^ ^ ^5 I-) t, */3, ty, ttf, i<br />

TOV {llv TtO&TlGTOV fa(f$&V %K> TOV dwd[lt, XQUTOV<br />

2. uoQifov] {lovctScov f'S -<br />

laovJisvQats V - -5- 4. ov<br />

. . .<br />

y] V7ro'dfty,aor y S -<br />

5. 6. EvraxTOt iaovTUi] BG. roi-<br />

KVTCtL SH 6. 7. TO TOLOVTOV OIH. H - 1. TtQOKOTCTOV C<br />

9. yivousvov] Gvynsifjisvov H dvvdftt~\ {LOvdSi G<br />

11. GVV%i] G KTtO [VTIO H\ TOV GVVS%OV? dot&[LOV SH<br />

ds Gz - 12. 7CQCOTOV G - 12. 13. TOVTO {<br />

8VQy. G - 14. TrAfVOfC<br />

{<br />

om. H -<br />

TQiag post g GP 15. TQLTOV] TOV df'xor add.<br />

CSH 17. qptxrtxov G GTi%rjd6v PC 19. SXKGTOV SH<br />

20. BVTccv.xoi] GVV&STOL add. S 21. TOVTOV om. CSH<br />

J2. m . . . is om. H -<br />

is] 6 or, y, ?, t, is, xor, x/y, As, af,<br />

VF, ?, OT, '/ar, QF. px add. C 23. ?coj> PH


API0MHTIKH EISAr^FH. 89<br />

, xrjv [lovdda<br />

1<br />

f ], sira xov 6vv%rj avtcp<br />

%& xov svegyzia itQuxov xgiycavov, /3<br />

a,Q xal a 6 y 6xt, xal xfj ye GftrjiiaToyQatpia ovrog<br />

Gvvitixarai' iitl piu povccdi dvo<br />

Aoi vTtOTid-fvtai xal rQiy&vu&XKi 6 y<br />

slra e%rjs enl tovroig 6 y 6w%r)G jr<br />

xal c^aitlo^sCs ys st? p&v&da xal avvte&sls rov g<br />

wsgytia XQty&vov xal<br />

xal itaKiv o J S - 6.<br />

om. H 1. { fio-<br />

H " 12 -<br />

-<br />

g] GTt%ov P - 9.<br />

t&i CS - 13. etra o ^ om. // - y.al of<br />

^<br />

tcps^rj? H 14. 61<br />

f^sAcug 15. onoGoncso] civ xat<br />

add. SH - 1G. GTL%OV] xvparos H sis] TtQog S eav-


90<br />

NIKOMAXOT FEPASHNOT<br />

><br />

IX<br />

$. TsTQayovos ds itixiv<br />

6 6VVyj\$ tOVTG)<br />

Qt$, G>S 6 TtQO-<br />

, alia rsoGagas iv rfj<br />

ual avrog<br />

a, dj ^, tg, us. As,<br />

[18VTOI,<br />

olov<br />

' > <<br />

rovxnv ya$ ai KaTayga- u<br />

6{iol ovro nog yCvovrau'<br />

a K a<br />

a a. a<br />

a K a<br />

a a a a a<br />

a K a. a. K<br />

a. a K K a<br />

cc a. a. K a.<br />

K a a a a<br />

IX. lo. Phil. rec. I, *y, P.


API0MHTIKH EI2Ar&rH. 91<br />

xccl cp%YJs ourcag, {i%Qi,s ov fiovkei. KOI rovroig de 2<br />

xal rots TCQO avrcov^ ri]v rcov<br />

Kara rov yvGinov dpftjiov TCQO-<br />

xo7triv' rat fisv ydg dvvdyii n^ara Tee svl<br />

5 novas , ro5 6s ivfQysfa jrpofrco TW d Ttksvg<br />

ro5 ds fosQyffa dsvTsoco rat & TtAsvQK rgidg , TW ds<br />

fiT 5<br />

avrov svtQ'ysCa XQITK) rc5 tg TC^SVQK retgag nal<br />

Xto TSTCtQTCO 7teVTK$ XCCi TG)<br />

7t8^7tr(j3 S^CCQ Kdl YM&Q-<br />

Aou 6%fjs roig (p%rj$. ytvvaxai 6s xal ovrog GTOL- 3<br />

10 %rjdov exre&svros cpvtiixov KQL&HOV Try povddi titi-<br />

OVXTL XtoV $)%?]<br />

rav nag? eva x&jidvaw<br />

rovT6ti rcov Ttfgujtiwv' Ttgaros y&Q o cc dvvdpet<br />

TtQcoros TSTQaycovog , dfvtfgoc; 6 a xcci y dvfqysfy<br />

15 TtQoSros tttQaycovos, TQLTQ $ 6 a xccl y nal VQdfVTGQOS<br />

rttQayovos, T&CCQTOS d 6 a xal y Kal<br />

t, VQyia XQiro TTQayovos xal 6 %rjs rotg<br />

rov -91<br />

xal 6<br />

7tQOs6(OQVi)'vros yivevcu,<br />

avrov rov la TtQOsrf&wros xccl ovrcos aft. xal 4<br />

20 7tl rovrcov $ evuPfyhjxe roGovrav powidcav rrjv<br />

SxdttOV TtfovQUV flvCCl, 07t6V TQiycovoov add. S 14. a] TrpfOTO? G<br />

17. 6 ante */?? om. OP Trporf'poig] Trpcorcog P TCQOTSo<br />

QOV C, Om. H 17. 7tQO?6G)Qvd'VTa G 22. GV6GO)-<br />

SH -<br />

schema, quod GP adponunt, hoe est:<br />

d ;__ x<br />

\ ly \<br />

i<br />

\ it,<br />

i&<br />

d ft i? y.s P.s (*& |6 na Q


92<br />

NIKOMAXOT TEPASHNOT<br />

X i. nevrdyavos ds EGXIV do^^iog 6 xal avxog<br />

Kara xr\v E^dTtk&Giv xr\v ig [tovdda 6%rnaaxoyQa-<br />

cpov[iEvog fitiTtEdag stg TtEvxayovinov 6yY\\ic*. Ttdvxrj<br />

faoTt&EVQOV) olov<br />

a, f, t/3, xfa A*, i/a, o<br />

2 KOI oi dvdhoyoi. aAA' (?rt TOV psv itgcorov nar'<br />

rovTEGri TOV f sxccGrr] itkevQa tivdg , /ito-<br />

aQ tov dvvdyisi, nQoxfaxov Ttevxay&vov<br />

V3td()%i XOV SVOS , rOV d XWV SXXElllEVCdV dsVXEQOV<br />

xov t/3 icXevQK XQiag nal xov ftsr' avxov xov x{$ xe~<br />

XQKS xal xov s^rjs tov Af nsvxdg xal f|ag xov 7cl<br />

XOVXG) xov va teal<br />

'<br />

del ovxog xa&ohov ydy xotiovxav<br />

iiovdd&v rj rtfovgd isxiv , oGoiitEQ slg<br />

avxov GvGxaGw GvveGcaQev&riGav doi<br />

xss EX xov xaxd (pvtiiv 6xoi%rjdov EXXEL^IEVOV d<br />

liyxixov xvpaxos '<br />

TtaQaTtkyGicog ydg xal<br />

7ti,6G)Qvovxai, AA?yAotg ELS nEvxay&vov yEVEGiv 01<br />

dito [jiovddos dvo diahC7tovxs &p 3<br />

otiovovv, XOVXE-<br />

6nv oi XQiddi AA^'Aa52/ v7tQ%ovxg'<br />

6<br />

r<br />

f) [iV [lovds<br />

1<br />

dvvd[ii TtQwxog xal G^r^iaxo'yQafpEtxai ovxog f ],<br />

ds SEVXEQOS EX xov a xal d GVVXE&EVX&V 6%rjiia-<br />

2<br />

xal avxog ovxog [ ], 6 df i$ 6 xghog<br />

X. Io. Phil. rec. I, Is A^; reu. II, xg, x^.<br />

p. 85. - Theon. 26. Boeth. II. 8.<br />

- Iambi,<br />

X. Usgi TC SVT ccycovov H -(ov F - 2. iiovctdag PC<br />

secundwn imitatem lioeth. II. 8. G%r]LiCToyQKcpouvos P<br />

6. ctvotloyov CSH 7. TOVTEOTL \ yyovv<br />

H - SY.KGXOV<br />

P, om. H - 1<br />

9. 8vo?\ TCQtorov S 12. 13. xw-9 . yorp ncci<br />

fTt'l TOVT63V TOG. H 13. 8KCtGTOV SH fGXCCl H<br />

14. s-Aliiyovxos P 15. Gxi%r]6v PC 21. f'x TOV<br />

TtQCOTOV Xtti TBtCtQTOV G 21. 22. G%rjHCCTOyQCCCpOV(ji. .<br />

TCOS om. H - 22. o ds i 6 om. H<br />

. . OV'


API0MHTIKH 93<br />

ex re rdJv dvo itooreoav xal<br />

rov sjuGaQsv&svro<br />

iva xal avrog rgidda<br />

6%fh toStQiciv Gvvre&svrav elg<br />

5 rrjv avrov GvtirKtiiv, tog xal o<br />

O avrov vvT&i'S) r\ dl<br />

[1]<br />

[.]<br />

avrov roiavri]<br />

[3]<br />

10 ol de eitl rovroig yevfoov- 3<br />

15<br />

rai xa&c%i<br />

rav xara<br />

evrdxrcov xv\v<br />

oov rov<br />

rovro<br />

fa<br />

-, x/3,<br />

va, o, r/,<br />


94<br />

NIKOMAXOT TEPAZHNOT<br />

la. 'E^dycdvot ds nal eitrdyovou nal 01 e%rjs<br />

avzrjv scpodov iCQofii(lcc0frq0ovTat duo rov tpvtii-<br />

KOV %v{iarog rov aQt^ftov tftoiffldov Hxrs&svrog<br />

ciisl Kara [tovddog itQog&sGiv rcov anoGrdtizov yivojisvav'<br />

cog yu-Q 6 {lev rgfyovog rove; ^.ovddi dua-<br />

(pegovrag , {irjdf-v TtagaAfiTtovras sig rqv Gcogsiav<br />

dnsre&etro , 6 df rsrodycovog rovg dvddt,<br />

eva ds TtaQafaiTtovras, itsvrdycovog<br />

ds dxoAov&cos rovg rgiddi [isv diaysgovrag, dvo ds<br />

TtaQahsiTtovrag , ovg nal c/.Ttsds^a^ifv vTtodeC'y^iara<br />

avrcov re ual rcov dTtorskovyidv&v sx&fysvoi J<br />

| avovrog<br />

xal efcdy&voi yvcoiiovag stpvtii rovg rs-<br />

psv diacpsgovrag, rgstg ds itaoakeiTtovrag ^ %<br />

G)v Gvvrs&dvrmv Gcogydov dttorskovvraL, olov<br />

nal (p^rjg^<br />

f<br />

iva 01<br />

a, g, tf, KYI, ft, g<br />

2 nal ft, yis%Qi av rig -O'f'A^.<br />

01 de rovroig dxohov-<br />

&oi titrdyavoi rovg {isv yv&iiovag e^ovGi nevrddi<br />

/<br />

j rsrgddi, ds duc^siTtovrag^ oiov<br />

a, g, t, tg, ^, xg, A, Ag<br />

xal scp' otiovovv, avrol ds OL GvviGrd-<br />

sfaiv


API0MHTIKH ElS 95<br />

xcd TOVTO p>%Qi ;ri/TO. oxTdy&voi ds Kara TYJV 3<br />

p avTYjv Td%iv rots T yvco^o(5iv %ddt, diacpQOVTs<br />

50<br />

jtQOXOTtrovGi xcd toig GvGxYipuGiv avakoy&g. iva ds 4<br />

>5 itl itdvTGtv xaQccTrjQOvvTi TOVTO xa&ofanov<br />

vov r}, xa6Tov Ttohwyavov TOVS<br />

-<br />

yvcopovag<br />

dvddi zkaTTov&g , )J KMTO, TY\V v<br />

TtoGoTrjra TOJV yavicdv, TOVTSGTL<br />

TQV rgfyovoV) dvddi $ TOV TSTQay&vov,<br />

iu TQV itevTayovov , Tfrgddi d TOV ^dycavov nctl<br />

TOV f.itTdycovov xcd clsl xaTcl<br />

t/3. Kal TCBQI [iv Trjg TUV ftokvycovov (pv(jG)s XII<br />

TG)V 7tL7tdc3V LKCivd TCCVTCt COg V TtQGJTT]<br />

15 on


xa 01<br />

NIKOMAXOT TEPASHNOT<br />

xrjg<br />

x-<br />

dvo kvsxai xal nag xXQayovog<br />

dvo xgiycovovg<br />

xa<br />

oov<br />

a, y, g, t, t, xa, x^, Ag, fi, V<br />

cxQaycwoi, d<br />

j, d, -fr, tg, x 9 Ag, ^c/O", |d, #a, <<br />

av -O-fA^g, T^tycovovg Gvvzy^ki<br />

10<br />

Ttavxag xfXQaycovov TtoirjGfig xal ovxivovv<br />

aga diahvGag dvvrjtir]<br />

itowGai' xal rtdkiv navxl<br />

XOiyOVOV 7tQOg&V%&V 0&VOVV<br />

dvo an' avx&v<br />

7toii, olov xti d xfXQaycdvq) 6 a xoiyavog itoog&v- 15<br />

%&lg xov 7tvxdyavov 7toit xal xcp & xa s%rjs 6<br />

^ijg 7toogx&g , drjhovoxi 6 y , Ttwxd'y&vov xov t/3<br />

7COit, rco df tg OVXL axoAov&G) 6 g tixokovfrog iiti-<br />

6vvx&ig xov xfi dxoAov&ov aTCodid&GLV xal xco x<br />

3. hocce schema codieis G:<br />

XQl-<br />

5. cvvsarr] H<br />

10. e&ttois C<br />

TBTQtXyCOVOV<br />

ycovct.<br />

7. (is, vs om. H 9. wa, p om. H<br />

12. CCVTOV S 14. TQi'ycovov o%rju.K<br />

H TTQCOTKyOJVOV G 15. l $] TETKQTCp G<br />

ig] TtQogrs&sis S Gwrs^slg H 16. om. P<br />

16 17. 6 frjs om. P rm s'(-. TOO -9 1<br />

6 s. TQITOS ng<br />

^15 TOV s'E,ijg itsvtay. t|3 S TCO fijs TQiycovos 6 y TOV<br />

TOV i Ttsvrdy. H - 18. axoAovahog H


APIOMHTIKH E 97<br />

6 i rov & Kal del ovrog. Kara ds ra avrd KO.V 3<br />

rots Ttwraycovoig oC XQiyovoi jtQogri&otvro rfj avrfj<br />

rd^ei, rovg vrd"/crovg ysvwj0ov6w e^aytavovg Kal<br />

Ttdfov Kivoig oC avrol 7rQogitA,K6[ivoi rovg v<br />

5 rd^i sxtayavovg TtoiriGovGi Kal ^i6r' Kivovg rovg<br />

OKraycovovg Kal rovro iit\ aitsiQOv. itgog<br />

de vito- 4<br />

\ivv\6iv SKKsfa&aoav Y^Liy Ttokvywvav Gxiyjoi Ttagahkfaog<br />

ysyQa^^yoi otdf, o Ttgcarog rQiyovwv , 6<br />

tur' avrov rerQaycovcov^ aera ds d{i(porQOvg nevra-<br />

10 ycovov , fira Qaycovcov , eira eitrayajvcov , sira , si<br />

TQl'yCOVOi<br />

TSTQCtyCOVOL<br />

rig, Kal rav Qfjg nokvycovav '<br />

L'.<br />

Cf<br />

15 7te.VTKya>VOl\ U<br />

51<br />

si-c'c/covot<br />

"ACtl<br />

if- h.a ox. 0',<br />

tTtxuywvoi u Gle<br />

t TCOV scpe^rjg Ttokwywvcav XY\V SK&eGiv sv<br />

ovrco 6ri%oig TtoirjtfaG&ai. Ka&ofaKcSg<br />

rovg yiv reroaydvovg rtiv v7tQ av-<br />

rovg GvGrrjua ovrag opotaycSv rQiyavav<br />

KLVOig Oi<br />

Kal b'n<br />

1. T ttVTV.]<br />

ov<br />

TCtVTK S 2. SI si TQ''y. TTQogTi&fvxaL H<br />

TQiyCOV TtQOgTS&OtVTO S<br />

-<br />

4. %t Ttdliv UST' H 6.<br />

3_.<br />

OHTayoov. om. H TOVTO] ovrco? H 7. !xxfi'


98<br />

NIKOMAXOT TEPASHNOT<br />

rov d rov 7 zed a,<br />

rov & rov g zed 7.<br />

rov *g rov i zed g,<br />

rov xf rov ts zed i,<br />

ro?/ ds Ag rou tta 5il is<br />

[is'%Qig<br />

clsl ovr&g' rovg ds Ttsvrecycovovg rcov<br />

avrovg oiiorayojv rsryaycovcav 6v


API0MHTIKH EISAraPH. 99<br />

TOVOg O^lOyOVLOV Xal TOV ttVWrdrOV TQl}>CdVOV TOV<br />

[povddt shdrrovog] 6{torayovg nag' ev KftfteVou.<br />

slxorog KQCC Groi^slov Ttokwycavav TO VQiyonrov xal 8<br />

xal ydg xal xard<br />

'<br />

tv yQa^atg xal iv KQ&potg<br />

5 (td&og xai KCCTCC TtkaTog tv rco dic/.yQcaiiiocrt i'pt'(?xo?'-<br />

rca 01 tfwB^stg aisl ccQi&pol Kara rovg Grfyovgavrovg<br />

%ovTsg diacpoQag rovg fvrdxrovg TOiycovovg.<br />

ly. 'Ett&u&ev 7]dr] gadtov Gvvidslv, rig rs 6 XIII<br />

Oregzog KQi&pog xal itcog fooxfavQ&g 6 roiovrog<br />

10 TCQOKOTtrei' 6 yag Ttoog rolg dvd diaGrrjuaGi rotg<br />

ev rfj STtiTtsda)


100<br />

NIKOMAXOT TEPASHNOT<br />

pdtifcog, eira dvahoyov djio Qayavov p<br />

Hal STtraycdvov xal oxraycovov xal del in* aTtuaov. 52<br />

3 xa&a7tQ d[iki xal iv roig ysaiisrgixoig 6rQOig<br />

CCTCO TQiytfvov faoitJlsvQOV av rig v&iag<br />

TQStg KTCO Ttov y&vitiv rw {irjxet, i'tiaq rcdg 5<br />

TOV TQiycavov 7tA.vgaig xa&' vi^og GvvvsvovGag sug<br />

fV na\ TO CWTO 6r][ieiov , TtvQd^ilg av aTtorfheGfretr)<br />

VTfO T66CtQG)V TCfQLf^O^iSVrj TQiyCOVOV l607tA.VQCOV T<br />

xcd i'tiav ft'AAifAotg, vog [iv rov % aQ%fjg XQiycavov,<br />

TQIKtV d TGJV 7tQiy$a(f>VrG)V V7t6 TG)V Af^ftO'CUZ/ 10<br />

4 TQiav v&i(av. xal 7tdA.iv ano rfTQaycovov 7tiit-<br />

dov dv rig T66aQag v&iag KoyCorirai TG> {irjXfi,<br />

i'oag ratg rov rfrQaycavov Tthfvgaig xd6rr)v xd-<br />

6rrj TtaKiv Kara ro vipog 6vvvvov6ag fig v xal TO<br />

avro 6rj[jiLOVj TtvQajiig av ditork6&iYi aito TT$a- 15<br />

"/CdVOV (ld()G)g TfTQayaViXCOg ^lLOVQL^O^lVY)^ 7tQl%0-<br />

{lVY] 6f. VTtO T66dQG)V {lV TQiyaVOV l607tkVQCOV,<br />

o fvog d TfToayavov TOV % do%rjg. xal dito 7tvra-<br />

y&vov ds nal Qay&vov nal eitrayawov xal ov<br />

pfyQig<br />

i, Tig itQO%OQlv, TK> aura TQOTTG)<br />

ev&stat 20<br />

raig yavuag ait* avTci)v rciv yoviav dvxal<br />

tg fv xal TO avro<br />

ano TCfVTayojvov g rj $ay&vov rj eitrayavov<br />

1. nsvTK-yajvov fiaGf-ws oni. P 7T^ro;y.] rQiycorov (r<br />

5. STtivorjG'r] CSH r,fp j^Tj'xjt om. H -<br />

8. VTTO r..<br />

nsQLS%, OMI. H - 10. TtaQKyQttcpzvTCov G - 12. loyr]oriTKL<br />

GP 15. civ aTtorel. om. ,S' 16. rsTQCcycovixcoc; om. H<br />

G (.ivovgi^. C - G adponit hasce fig-nras:<br />

- 17. iGOTrltvocov om. H 20. @ov)*i C<br />

H


AP10MHTIKH EISAr^FH. 101<br />

ij dvdkoyov. oirrca ds ucd v rotg aQi&iiotg<br />

{lovddog wg aito GrftieCov 7ta$<br />

olov<br />

5 nal OL e%rj<br />

OVtGdV XCCl<br />

clno 6<br />

9<br />

lit* aitetgov' ait' avruv ds TOVTOV<br />

Cp' V diaGTKTWV 7tO 6VVT-<br />

OV% CJS TV%V Oi TtokvyOVOl<br />

KKi 7ti~<br />

, TQiycavoi yisv TtaQK n,r\rtiv<br />

yvco[i6vG)v , rETQayavoi 61<br />

10 itKQa va, Ttbvxdyavoi dl Ttagd dvo xal dd OVTCO$.<br />

tov avTOV drj TQOTCOV zed CCVTCOV XOVTOV ruv 7ti7t- 7<br />

xa cgavi TCoiKooovvov ai<br />

is djt' avToiv rcdv TQiymvcav , ?J d drco<br />

(5d6G)g ait avT&v TGJV rttQuycavov, rj<br />

d and 7tv-<br />

raycovov dito rwv Ttfvra'ywvav xal ^ dno efcayiovov<br />

aTfo TWV Qaycov&v xai TOVTO di' o/Lov. elolv ovv 8<br />

at [iv djto rgiycovov pdtffas VTaxroi avrca<br />

20 cc, (5, t, x, Af, vg, ltd<br />

2. ypapfuxcos GP (-6? tuetur lo. Phil. I, (i


102<br />

NIKOMAXOT TEPASHNOT<br />

xid


API0MHTIKH EIEAFSrH. 103<br />

xcd GvviGTCiTat {noi f] id Ttv^a^ilg ditd TTQaycovov<br />

gdv %ov6a JtdvTO&i TQiddct. rfjg XQOdvdda<br />

%ov6r]g trj$ > ttfS $ dvvd^i JIQOTL-<br />

[tovdda' del ya.Q xal Iv&dds roOovrov SXK-<br />

5 6rif\v TtfavQccv ri$Tivo$ovv TtvQa^iidog {lovadcov fiVta,<br />

rov d(H&tiQV oC i$ GvGrutiiv avrrjg<br />

toKvyovoi. Ttdfov yelp xr\v i$ TCV- 3<br />

Gvvohrjv fiatiiv %ov6av rov & rtTQayavov<br />

TK> tg rsTQayajvo) Hal aTtOTzfaiTai ftot Y\ X<br />

10 JTI> Qayils rQury] XKT' ivi^ysiav TWV and TtTQayaivov<br />

ovtia' Tfi d* avrf] xa^i ma ay coy $ xcd dito<br />

ftaGecog xcd and e&ay&vov xcd sT<br />

vov pdosag xcd iitl ntelov del TtQO^OQOv<br />

Qa[iidag 6v6TV](}6ii&a rovg dvahoyovvrag<br />

15 jtohwyoovovg 7a6oQVQVx$ dAhijhotg died [lovddog<br />

cog and e^a^iGrov xal it()o%cd()ovvTg<br />

& exd


104<br />

NIKOMAXOT FEPASHNOT<br />

5 "Iva df ^?} dvijxoot, w[iv Kokovgcov xccl dtxoAof'- 54<br />

QOV Xal XQLKOXOVQ&V TtVQayiid&V, (DV XOtg<br />

v (jvyy^cc^i^a^i iidkitixK xotg<br />

, itixdov, on, EKV 7tVQcc[ils ay<br />

xovxdoxiv ovxivaovv Ttokvy&vov %ov6a fia- 5<br />

it tWV %ij$ TiVK TWV<br />

GaQftav av^ri&siGcc p<br />

Aof QOg CClthwg hfyfTCCl<br />

LS<br />

iv<br />

pi TtokvyKtvov rrjv<br />

v xi<br />

KBTl, {LOV<br />

KOQVCptf ,<br />

tnl povada<br />

AA'<br />

yCvTai itioycaviov r<br />

liovdda, Tkvrav en xocl<br />

vdda<br />

'<br />

XKL V] XQiaVXTf]<br />

CCV 6f XCCI Xl<br />

dsVTQOV TtokvyOVOV 7ll XG)<br />

{IOVOV XOV VTt KVXOV ,<br />

? , aV XCtl XOV<br />

7tCCQXTlVLV XO O<br />

Kcixa xo<br />

T7JS CpVGMTJS KKi<br />

ov yap fig TOV 10<br />

CCVTf] TO<br />

avrq wg<br />

%al ov-<br />

ig rov Ttagci xv\v po- 11<br />

XOV<br />

KKtlVOV<br />

XIV, 5. TlfQl KolovQcov SH 1. KVSIHOOI G -<br />

Kttl<br />

%fi, 20<br />

. &S(0Qr)TLKOig P ^goAoytxorc S (cf. lo. Phil. rec. I, fjirj:<br />

sv |3i|3At'ot? Tisl &SGJQ rj r IY. o i s xcd avrog yap \Lfyi6tir\v<br />

itQocyfJiCiTfLKV &ohoyfx,rjv roLKVzrjv sypai^fv fi'ncoiisv xrA.<br />

rec. II, A: CO$TS {ir] ctv8vvor}Tovg rjtiKs TOVTOJV sivat Ttav-<br />

TCC7TK61, CprjGLV, 03? 7Tl


10<br />

API0MHTIKH EI2ArrH. 105<br />

ie. Kcd ri {isv TCJV iGOTtkevQKtv Gregetiv aQift- XV<br />

vQaiiosidav yfoedg xal TtgoxoTtYj xal BTtavfy]-<br />

Gig xal (pvGig roiavrr] 67tO[ia xal Qi^av %ov6a rovg<br />

7toKvy&vov$ avrovg xal rqv txetvov evraxxov exi-<br />

5 G&Qsiav , etSQCt $ xi GTSQSKIV eTSQoysvcov evrafycc<br />

rav<br />

TTJV<br />

xa^iv s%ov6a routvrrjv Tivd. oC TIQO- 2<br />

, d, -9-, tg, , Ag, ^,- |6<br />

^1 01 s,fjs $ L lL*i ovxsg diaGtarol xai sv rfj i<br />

OfflpcttoyQCUpia (JL-YJXOS xal ithdros [tovov S'^OVTSS en<br />

xal TQLTOV TTQOs^i^ovrai dwctfryna ncd etiovTcu %Oi navrog. rotiov- 3<br />

p.<br />

XV. To. Phil. rec. I, u#, v\ rec. II, JLJJ.<br />

137. 138. Boeth. II. 16.<br />

- Iambi,<br />

XV. 2. nvQccuiddiv P -ui'dcov H ytvvijaig H in<br />

mrg-. - 2. 3. tnetv^rjots *ui> yvoig P iTcav^rjoig, cpvais G<br />

Gso)g cpvoiq CSH 7iKv^ri6i


XVI<br />

106<br />

t,\<br />

\<br />

TOV xai<br />

O6G)V7tQ i[G(x<br />

NIKOMAXOT PEPAZHNOT<br />

v&dd<br />

xcd ai r&v<br />

xa6TOv ,<br />

c etiovrca<br />

acp' wv eye-<br />

VOVTO, fxaGTog acp' a


10<br />

API0MHTIKH EIEAr^FH. 107<br />

ftd&og xal TtfatTog 6%r}iia GTSQSOV vTtdg%ei 6 xvfiog<br />

xal 7tl rag fayoiievag ? xe$UKd<br />

KXoAov&ov CCQCC ItiTiv , dvTixslG&ai avTG) TO<br />

i'Oag %ov tag dia


108<br />

NIKOMAXOT TEPASttNOT<br />

3 VOL ralg dia6rdV uvfiav avrcav rsTQuycdvoi aQiftyiol i\6av ra iliti-<br />

XVII it,. Ilakiv ovv ava&sv TQO[njxr]$ K^t^og Af-<br />

ov<br />

{iev KOI tfTQCfyciviog yivsrai rj XKrayQcupr],<br />

^v itiai dhhyhaig at TtKevQal ovds TO {irjxog rai<br />

Ttkdrei i


API0MHTIKH EISAr&TH. 109<br />

r] OTtCOg ltOX OVV Tf}COg^ OVXTl XVQlCOg TOLOVTOg<br />

TQO[iijxrjg xkr\&Yi


HO<br />

NJKOMAXOT TEPASHNOT<br />

6iv^ r] TQCC rrjg sregag yiovdoi povov<br />

olov faxsipev&v [iOL rov dno [lovddog 6vvs%ov$<br />

^iVOg idta [lV TOVg<br />

V vl 6Ti%G), idltt df TOVg doriOVg V<br />

uai yivovrau [ioi dvo Gxiyvi<br />

a, 7, , g, ft, LK, ly, i,<br />

/3, (J, g, y, t, t/3, t(J, fcg,<br />

rov TCTV<br />

O OVT KV T<br />

xs ovticc xa x\v rov ravrov cpvGiv<br />

ovr CCA/.OV ovnvaovv<br />

rr]Oi avrov v ravrcp '<br />

TO tie<br />

5 roiovrov 7tQ\ dlkov dgi&iiov tvQtv ddvvarov. rov<br />

d' dllov 6ri%ov d$%i y dvdg o^oyEvrjg<br />

ccvrd) ovtia<br />

nal T$6r?]rog xaraQKriKYi '<br />

i'r ydy avrr}v sirs is<br />

dllov 7tolv7tla^id(5iv^ sxtiraGiv iroift, olov<br />

6 "Orav d |]<br />

dig ft dig -y.<br />

oxrdxig r) dig rj roig,<br />

rd roiavra GrzQsd (ffflft&ra Ttfov&ideg hsyowai lodm$<br />

i


API0MHTIKH EISAram. HI<br />

f} OGCtXigOVV [JLOVOV V7tQl3cdk6vTG)g '<br />


XVIII<br />

112<br />

cog 6<br />

NIKOMAXOT TEPASHXOT<br />

Tttiag rag avi tftg* av<br />

a0Tij(ia(ft, itgoKo^coGi , xvxfaxol<br />

a, K, Ag<br />

K, rov KTtafe, a Kal rov TtBvraKiq s Kal rov %dKi,g g '<br />

lav ds TQIU, diattijfiata %co6iv r} snl nhsov TOV-<br />

rcov<br />

r c<br />

cog o<br />

Cxavct iv rco<br />

i-q. Kal nQ\ {lev GrsQswv (XQI&IICOV<br />

Kctl xavra '<br />

ixel ds cl()%ccs rcov oA&v OL re<br />

Kal 01 K TG3V {la&rjjJidrCdV OQ{lCO[lSVOl TO<br />

Tavrov xal ro STZQOV ksyovtiiv, cutEdsfyfrq ds ro tav- 15<br />

TOV ^8v V7tdo%ov(}a fj {tovag Kal 01 Kara eidoTtoiriGiv<br />

avrfjg itZQiGGou, Ttokv ds ^AAoi/<br />

oC K rovrcov 6v6-<br />

(fwiGvccfisvoi Tttodyovoi, cog av drj<br />

v ratg n/tsvoatg (isti!%ovTf$ ^ SXSQOV d<br />

dvdg T Kcd 6 vTto ravryg sldonoiov^svog nag ao- -20<br />

nog , iiaki


AP10MHTIKH EISAFP.rH. HP,<br />

xal TQOTrjTog ev rfj TMV TtlsvQ&v oiacpoQK<br />

STL TOVTO ajtodeixreov dvayxaioTaTa , itwg iv a<br />

TQOig TOVTOig COS & UQ%atg Ktti GlttQyLtt<br />

TtdvTa TCC TOV d^i^^iov idioo^iaTa TCQOVTtoxziTca i-<br />

5 d(OV T KVTOV Xal VTtodlttlQSGSMV 6%6G)V T TtdGOJV<br />

xccl Ttohwycovcoi' nal TCOV 7tccQK7th]Oicov. TtQOTfpov de 2<br />

r]{iiv, t] diacpBQti, jrpou^ja^ dQi&[io$ BXB-<br />

TfQO(j,ijxt]s p\v yap IGTLV , cag TtQOsHs-<br />

59 %9"iy, 6 yi,v6iivog VTto CCQI&UOV TOV uovccfa SUVTOV<br />

10 [i8%ova TtohvTtkafiiaGavTog, oiov<br />

o g vjto TOV dig y,<br />

o i$ VTto TOV TQig 6,<br />

7tQO^iriKH}g de itinv 6 vno dvo ^sv KQL^^ICOV dtaq)-<br />

QQVTOV 6[ioiG)g xal avTog yivousvog . ov [iqv [tovafti<br />

15 J/, AA U,lt,OVi TlVl aQl&llGL), QtOl><br />

dig d, TQlg g, TSTQKXig >/,<br />

KCti Oi TtaOCtTthrjGlOl TCp [MJXl 7tQ07t7tTCdXOTg TQOTtOV<br />

Tivct xal v7tQftft7]xoTg xi\v Trjg {tovddog diacpogdv.<br />

OVXOVV OTi {lV Oi TfTQayCOVOl VTCO TLVCOV CCQi&yL itA,(ire i, diO[iijxig av xvotag xal Tav-<br />

TOfiTjXftg ksyoivTO, oiov<br />

xal OL (p%rjg '<br />

dig /3, T$lg y, rsTQaxig d<br />

i d TOVTO, sittdfXTixol TtdvTcag TKV-<br />

-25 TOTrjTog xal faoTtjrog, dioTCBQ toQitffisvot TS xal TC-<br />

'<br />

TO yda Itiov xal TO TavTov evl rgoitcp<br />

1. TihevQcoy] nalciLWv S 2. aVayxaior. om. $ 7. K\\LIV<br />

om. SH -<br />

jj] TIVI S 8. STSpo^rjy.ft? psv G - 9. TOV<br />

uov. H 10. TtoUciTtl. H 13. fartv om. SH 19.<br />

KQi&fiatv om. .S' 20. yi'vsrca C TO UVTO H 21.<br />

jt\


114<br />

NIKOMAXOT FEPALHNOT<br />

Xcd CDOLCjpSVG) TOIOVTOV' OTL 6s Xal 01 eTQOprjXig<br />

doi&pol ovx tdfc'w prjxet, AA' eTeoov prjxvv&evTog<br />

TS did TOVTO xcd eTsoo-<br />

ditOTekovvTai, sTSooprjxsig<br />

4<br />

TYjTog enidexTLXol dtteiQiag TS xcd dooiCjTucg. Trj ds<br />

di%o(iTaTst xcd diavwepijtcu, xal evavtta dkkij- 5<br />

cpcuvsTca TK TS TO?) doi&nov JcdvTa xcd TK sv<br />

Ttoog tavta ditOTshscjd'svTa xcd xahcog oi<br />

Tta/lcaol cpvo'io&o'ysiv do^oiisvoi TY\V TCQWTYIV diai-<br />

QSGiv trjs xo6[i07touag tarity itoiovvtai' Tlld-<br />

TOV pev Trjg Tavrov . yritis&s *(& *?} ftategov 10<br />

ovopd^ov xcd itdkiv trjs apegfatov xcd del<br />

xcad TC} avxa s%ov6r]g ovtiiag Trjg TS av psQt-<br />

6Tr]g 'yivopsvYjg , 0tAoAog ds dvayxaiov xa sovTa<br />

itdvTa eifisv TJTOL ctTtsiaa rj Ttsgafoovra rj itegat-<br />

vovTa afia xcd ansioa, OTtso fiAAov Gwyxatcetffi'G- 15<br />

rat sivca, ex nsocavovT&v a pa xcd aTCeiQGW Gvvs-<br />

Grdvai TOV xoGpov, XKT^ elxova drjhovoTi TOV<br />

doi&pov' xcd yd$ ovTog (JvpJtag ex povddog xcd<br />

dvddog GvyxeuTca doTi'ov TS xal TTSQLTTOV^ a dr] fao-<br />

TrjTog TS xal dvtGorrjrog pcpavTixd TcwTOTrjTog<br />

xal STSQOTrjTog TteaatvovTog TS xcd ditsioov<br />

cjpevov T xal CCOQIGTOV.<br />

XIX i&.<br />

Te 20<br />

r<br />

'lva $ xcd evagytig 7tei(5^cZpev 7t$<br />

on aoa ex paftopsvcov xal evavTiov<br />

XIX. Io. Phil. rec. I, v& g*;<br />

p. 102 seq. - Booth. II. 22. :>:}.<br />

rec. II, (is. i*S. Iambi,<br />

1. on ds xai] STL ds CH 2. srsgrn 6' - 3. rfj Ss\<br />

rj ds P ovTag H 9. xoff^coTrou'a? G vavrrjv Ast. -<br />

mdwv] cf. Tim. VIII (p. 35 A) -<br />

^13. Qdolvogl cf. Stob.<br />

Eclog. phys. I. p. 454 lleer. -<br />

ttvccyHY) H SOVTCC om,6f<br />

ovTd S 14. Ttcivxa om. P, oinnict quite<br />

sinit Booth. II, 22<br />

slusv] tlvui P r]iiv C m. 2. ft uzv H fafievcct P<br />

18. ovrmg G unag-S 20. luqpai////Ttxa G ixcpavTLKK H<br />

XIX. 24. fiaxopivov xi svctvxiov S


API0MHTIKH EiSArarn. 115<br />


116<br />

NIKOMAXOT TEPASHNOT<br />

sira eit lit SEXTOS xal stpXTog xal TOV TO lit cc<br />

'<br />

diacpooal ds CCVT&V Ttgoxofyovtii XCCTK TOV<br />

dito novddog dgid-fiov^ povdg pv T&V 7tQK>-<br />

T&V, dvdg $ TCOV dsvtSQOW, TQidg $ TOJV TQLTOV<br />

xal , TOV d dVTQOV TCH/ 20<br />

6|^g 5 TOP 6f TQLTOV TG3V ^lr' CtVTOVg , TOV TTKQTOV<br />

d T01V (p^i]g , TOVTOig OCpJhjtiOVTCCl VTCCXTOTQ(U CCi p<br />

v TQialv OQOig' ijv<br />

%i<br />

YKQ 6 d agog TOV 61<br />

ft * ovrms o ft ftQog [lovddtt, xal TJv 6 &<br />

5. SITCC ds] zneiTcc S SKV


API0MHTIKH EisArarH. 117<br />

og TOV g )JfuoAt'ws, ovTcog 6 g ngog TOV d, Kal i}v<br />

6 tg jrpos rov t/3, ovTcag 6 t/3 itgos TOV #, Kal TOVTO<br />

s


118<br />

NIKOMAXOT TEPASHNOT<br />

VOV Kttl TOVTO TX^QIOV TOV TttVTOTY]TOg KKl TQO~<br />

TK<br />

povadcc xccl dvdda,<br />

TavTOTYjTog ^ TO [lovddi, o<br />

3 TQOTr]TOs did to dvddi. KKI STL<br />

did TO Gvv&stiiv<br />

TLOV xcc yg nol<br />

$ itsgiGGov [iv<br />

slvtti , aqriov ds<br />

rs-<br />

v slvcci TKV-<br />

TO a$-<br />

la v Totg<br />

TK dvo el'dy 10<br />

TccvTa itaod nfyog TCJV avTwv diacpoooov, i fti) xal<br />

TOOV CCVTCOV hoycov, xal avdrtafav TCJV CCVTCJV hoycov,<br />

O yO\Q ^lTK^V TOV<br />

'<br />

1<br />

(1$<br />

XCcl TOJV aVTWV dlCCCpOQOlV<br />

d xal TOV ft di7tA,cc6LG.jg, TOVTO itL[io()icog iiera^v TOV<br />

g xal TOV d, xal Ttdfav o [iTcc%v TOV & xccl g ^to-<br />

AtWg, TOVTO ^TC^V TOV tft XCCL & 7tlTQlTO)g,<br />

XCCl dfl 62<br />

OVTCOg' XCtl<br />

TtOlOTYJTl TCCVTOV, 7tOaOTY]Ti TQOV, XCCi<br />

4 TOVVCCVTf'oV 7t060TY]Tl TKVTOV^ TtOLOTVjTl TQOV. XCCi<br />

TtaKiv , OTL dvccyxaicog XKTK Ttddag Tag tf^s'tfatg ^<br />

ccvTrj dietcpogd TOJV dvo OQWV {tovddi e'l^AAcc^fVcag 20<br />

{iQog fafflriGsTai , TOV [iv 7Jp,t,Qv , TOV d TQLTOV<br />

V7tdQ%OV


API0MHTIKH EISArarH. 119<br />

#, xg, Ttcc,<br />

a,j,<br />

nod ii%Qi ov povhei) itdvTag Bvgrj&Btg % avayxyg Tovg<br />

v TtBQiGGatg %Kigai tsryayowovs, a'AAofg dz OVXBTI<br />

5 ovdspia iirjftavrji ovdsva ds v ctgria<br />

akka xal Oi iddxts itioi iGaKig axavuss ,<br />

xvfioi<br />

OVK<br />

10 6 K Kid 7] Xul Xt, Kttl %$ XCCi QX XKl 6^<br />

xal 01 avakoyov 7tQO%oiQOvvTBg xal ankrj y Kcd<br />

aTtOMlkc) (p6do3' BXt&VTG3V ^KQ TCOV CC7CO [lOVado$<br />

Bit* ClJtKiQOV GVVBIKtV TtBQiGGCdV BTtLtiXOTtfl OVTKt$ , 6<br />

TtQ&TOS TOV dwd[ll XVJSov TCOiBi , 01 $<br />

15 XLVOV 6VVT&Vt$ TOV SeVXBQQV^ 01 ds<br />

TQLS TOV TQLTOV, 01 6f 6VV%tg TOVTOig<br />

TOV TBTCCOTOV., Oi d fqpf|% TOVTOiq 7tVT TOV<br />

TtTOV Xttl 01 ^i]S % TOV XTOV KCCl TOVTO [l%QiS alsl.<br />

xcc. *Exl de TOVTOIS xcuoog av i'rj TOV TtBgl civet- XXI<br />

20 AoyHJOV TQOTtOV 7tQO$&VTCCS ttVttyXttiOTttTOV OVTCi 1$<br />

rag tpv(fioA,oyfas xcd i$ TV (tovGotd TB xal GycciQixcc<br />

nod 'yoa^i^nxa &G)Qrj[iKTca, ov% vjxiGta d xal fig Tag<br />

XXI. Io. Phil. rec. I, f-r] oy; rec. II,<br />

Iambi, p. 138141. Boeth. II. 30.<br />

Bkog &rti&stvcu,tfj aQifr-<br />

1. TQinlaGiK H 3. ov om. P 4. %caQKig\<br />

vovy add. C 5. KQTIO) SH 6. TOVTBOTLV OL $ -<br />

8.<br />

fgycovP 10. 6 r] G, artic. quinquies add. SH 11. dvuKoyoi<br />

P 13. ovvs%s P - 17. ft-rj?] sv&vg H, e|. in mrg.<br />

XXI. IIsQL dvuloyiwv GC^SHP - enfLdr] P<br />

recepit<br />

20. rgonov codd.<br />

21. rovg UOVG. G<br />

19. Sf] di] G<br />

roTtov Ast. ex Iambi, p. 138


120<br />

NIKOMAXOT TEPASHNOT<br />

TO ^oov a\t,a xc<br />

2 TOV.


olov<br />

API0MHT1KH EISAraPH. 121<br />

kfyexca YI xoiavxri dvakoyta,<br />

, 0, ov 6 TOV<br />

xai, xoGovxov xal avxog 6 ft xov y. sav ds sxegog 6<br />

plv OQO$ vTtanovri Ttgoc; xov skdxxova ngokoyos yiv6[ivo$<br />

KOI ^(,'(m/, sxfQOs ds not iiri o avxog<br />

xov peitpva vitokoyos xs ^/LVO^SVOS xal<br />

15 ovxsxi tivviwiisvrj , dMcc 8iE&vyy,WYi Ktysxai q xoi-<br />

avxY] fi6


XXII<br />

122<br />

NIKOMAXOT FEPAEHNOT<br />

a, ft, 7, d<br />

o6G) yciQ TO a TOV ft keiiterat , TOGOVTCO xal TO,<br />

y TOV #,<br />

otfco TK rov y TtsQiGGsvsi , TOGOVTCD xcc TK<br />

xai Tg TOV<br />

[iov XKTK TO Tolg Hv&KyoQiKoig doxovv wg T><br />

OTKTOV, XK&* 0V XKt Kl dtXK (?^(?tg a}(p&rj()KV rjfliV 20<br />

0g TC060TVITK ^K^lftKVOV(}Ki XKi Kl SsXK A-<br />

l XKl T&V rillTQG)V %LQG)V XKi<br />

XXII. lo. Phil. rec. I, od; rec. II, v. Iambi.<br />

p. 141. 142. Boeth. II. 31.<br />

2. OGOJV . . . TOGGvrov S 8. TOGovTto ante TOC d om. H<br />

XXII. 11. uvuloyLO. (t 12. naga, om. C IIv&ccnotg<br />

H 13. V.KL nictravi om. G UKQCL Til. xorl TIKQK<br />

AQ. H 15. TSTv%iai P 16. KQIVOTSQUI G 18. v-<br />

QOV S oviiTtlriQOvvra. G SSKKTOV om. S rov i CH denarius<br />

numerus Boeth. II, 31 - 19. IIv&KyoQa S quod erat<br />

Pijthacjorae complacitus Booth. 21. TtoGotrjn G at<br />

L ds P<br />

.


-,<br />

API0MHTIKH EI^Ar. ( >rH. 123<br />

Ka erega pVQa, a Kar oiKetov roitov ev ereooi$<br />

vvv 6s Ttepl rav avaloyitiv avca&ev re- 2<br />

Kal itQwrov ye itegl r^g Kara ro notiov<br />

ri]v r&v oocov GvyxQtGiv otxeiovtfrjg dMijlwg y.cd<br />

ij e6n Kara rr\v rav QQOV TCQOS AA^-<br />

diatpoQav iS - 6. fGTiv P o 8 ort H 77 - 7. . . . i'ar]v ovoav f<br />

r<br />

8. Tccvrrjg] avri}? H 10. rj om. H av-crj r] CpVGlS -S<br />

14. UoVo^ P 17. (JLYl GVVO.IKLQ. S 20. V Om. S<br />

2-2. rcov yap] c?/Uan> add. SH 2-4. g| ap^^S OP $i-<br />

CSH 25. dLK&UGlS P


XXIII<br />

124<br />

N1KOMAXOT FEPA2HNOT<br />

try. "EGxiv ovv dQi&{iY]Tixr] ftv xav (p^fjg v7tKQ%ov6a, j*jj IIS'VTOL Ao/og<br />

olov 5<br />

6 avrog v roig ogoig ngos aMfaovs yiv^tai^<br />

, ft 7, tf, f, g, g, iy, , t, t, t/3, t^'<br />

(pvGixfi ravrri ^xftfasi TOV agifrfiov 6vvnal<br />

avvTrsypccTcog z&Ta&iisvy evgfaxetcu itas p<br />

oQog dvsiv ava {letiov Tsrayiisvog xr\v V.QI&- 65<br />

7tgds avTOvg diaGtt&v ^(?or^r* iGcu yap 10<br />

at dinyoQal avrov i6i Ttgog TOVQ JlxarsQco&sv<br />

ov IITJV sri KVLI Ao^og 6 ccvrog<br />

2 avroig. STtiGrd^ied'a ds, eog iv xr^ roiavrr]<br />

ts KO<br />

CIV IYI ,<br />

6 avrog {i6os ogog jrpo'Aoj'os<br />

Ttgos rovg xaTQa&v VTtaxovot,,<br />

1 SI 6VV CCV-CG) TQOg , dl<br />

T xal vno- 15<br />

3<br />

iifGorrjg. av ply ovv.sx Trig tx&faf&g raving<br />

ccitoTi>i6[ivoi ovgnvagovv TtaQahHrjJiovs xaT<br />

T66KQag f} Ttfaiovg xccra 20<br />

av ij<br />

T()Ol, X TtCCVTOg' KV<br />

,<br />

i yiV fig 6 7t<br />

XXIII. lo. Phil. rec. I, os 7r|3; rec. II, VK vr\.<br />

Iambi, p. 142-147. Boetih II. 32.<br />

XXIII. FLsQi CCQI& [irjTiKrjs {leGOTrjTog GHP<br />

KQ. Kvctloyicts Cu.S - 5. ytftrat P 8. dv7<br />

G -<br />

f|8T^ouf'j/cor S 12. ?TI om. C 13. rfj avrrj G<br />

- 17. 18. yiv. (jLfGOTTjs om. H - 18. &GS(Q$ P 22. I*<br />

Ttavtag S - 23. TtaQuXf-ibiv G -krjiptv P


API0MHTIKH EISArarH. 125<br />

vog el't] xa& exd(5rj]v ftetiiv o@ou, dvdg etirai 17 dia-<br />

yoQa Tfdvrov , xal rtdfov ev TQitil {iev<br />

ev TtkeiOGi $ dirjorjiievj]'<br />

ei de dvo 01<br />

lievoi, rQidg Ttdvrog ?} diatpoga<br />

ev uita<br />

5 voig re xal dis^evy^evoi^^ si ds rpffg, TSTQCCQ , si (3^<br />

TeGGaQai;, Ttsvras, xccl tovro ecp' onotiovovv. [isT8%?i, 4<br />

ago. tj roiKVTY] TtoGov [isv I'Gov sv ralg dcacpoQttt$,<br />

'<br />

Ttoiov ds ovxzTi Ltiov' dia TovTo UQi&injiixij<br />

el d'<br />

s'liTtafav Ttoiov {JL^SV 6[ioiov {isTsfys, TtoGov ds ov, i]v<br />

10 av ye&iisTQixr) dvri d(M&iir}TixrjS. idiov ds v7tccQ%i 5<br />

rrjg ft(>oV^rog, o fi^dffwa A/l^ tff^/Sf'/fyxe., ro<br />

6vv&6i,v reap axQ&v VTtodiTchaGiov tj i6ov ro<br />

15 r/ ra ftf(?a (Ji)!/<br />

ivcu , av re GvvrjmisvGig av T dLt&vypw&g<br />

av T svakhat, '<br />

AA?f/lofc^ '(?<br />

TI. xal AAo ^ft /'dtoi/ '<br />

ov<br />

rj yag to {i(jov 6vv Jlavrcp<br />

TCQOS eavrov, TOVTOV ai diayogal TCQOS rag dia-<br />

TsGriv zv faofrftt ffoiv '<br />

sn TO ykatpvQG)-<br />

rarov xal TOVQ jroAAoug if^i^og, ro VTCO tcav axgcov<br />

20 f<br />

yiv6^ivov 6vyxQtvo[ivov rc5 ajto rov pfaov k'kartov<br />

avrov VQi6Xf.Tai rc5 VTto rcav diacpogcav, av re<br />

{lovades w6iv edv re dvd8e edv re rQiddeg<br />

rer^ddeg edv re ogrigovv aQt&(i6s '<br />

add. .S 1<br />

edv re<br />

reragrov de, o<br />

1. ftfGLV Om. P<br />

3. Si] 01 G 7tKQKHsi7t.] lV<br />

^<br />

f<br />

5. disgevypfvois] diyQrjfjitvoKS PC 7. rot-<br />

17<br />

CiVTY}] CtVTT) SH 9. OfJiOLCO? G - USTS%1 P - 11.<br />

Triads] ravTrjg S 12. vnoSncldoiog G -<br />

ro<br />

12.^13.<br />

we-<br />

GOV ante ^, om. fivcci H dnthdciov xov (iscov iGov rj xot$<br />

(jLGoi


126<br />

NIKOMAXOT TEPASHNOT<br />

xcd 01 7tQo6&V 7tdvTg 8 6r]ii iKHSavTO , 01 v Totg<br />

/id.TT06LV ogoig hoyoi 6vyxotv6{ivoi jrpog Tovg v 66<br />

Toig yiztf^oGi p,ei$ov l


API0MHTIKH EIZArSiFH. 127<br />

a, ft, 6\ -fa tg, A/3, |} diaipOQGV, dhha xcd dva-<br />

o&i TYJV o[iotav Gittiiv, cog 6 tg Ttgog TOV d,<br />

20 ovTcog xcd 6 K\ Ttoog TOV /3, xcd s'liTtafav cog 6 ft noog<br />

TOV rj, ovTcog xcd o d TtQog TOV tg, xcd dis&vyiisvcog<br />

cog 6 ft JtQog TOV d, ovTcog 6 j\ ngog TOV tg, dvcc-<br />

dTQocpcog Tf K(a KciTK TO dis&wyftzvov cog 6 tg itgog<br />

24 TOV 17, OVTCOg Xcd d TtQOg TOV ft' %l y *Q TOV 6i-<br />

67 "idlOV $ %Sl y yfCO[lTQMY] (JLfCfOTqg, O<br />

4. xerQKTtl. r/] nsvTCtnXdGiov add. CS<br />

, ^, zg, |


128<br />

NIKOMAXOT TEPASHNOT<br />

T&V lointiv , TO rag TWV ooav dictyootxg zv koyco<br />

itgog dhkfaag rip avTcp elvm, v c? xal oi opot itoog<br />

Tovg 6vv%ig oi (isi&vsg itoog Tovg skccTrovag, xal<br />

'<br />

rag avvnafav &g OL dvaTtahv<br />

STL xal Toov idi^a<br />

5 TO Tovg iiiovag ogovg duapoqav %iv agog Tovg<br />

avTOvg Tovg IkaTTOvag xal xaTa TK CCVTK<br />

TtQog diacpogav avTrj TJ] skaTTOW d\a(psv<br />

di7tka diayoQctv f^ovtii, dig TQV VTT' CCVTOV Oi<br />

10 OQOL xal at diacpOQKi, v ds TSTgaTtkaGtG) Tplg xal<br />

fV 7tVTK7T^a6iG) TTQttXig KCU TOVTO H>%Qt> JtCCVTOg.<br />

ov [i6vov $ zv itokkaitkaGiQis avakfyyiai yivovTcti 4<br />

.MK nal sv ^Tt^OQiOtg sl'dsGiv<br />

KOI [LIXTOig ,<br />

KKl TO B%CClQtOV<br />

15 Tr]g p>06v*fCOS TavTrjg 7tl itaotiv Ga&Tcu, T&V plv<br />

TO VTCO TCJV CCXQG1V 160V TW CCTtO TOV<br />

ds sv $ia&v%i ij<br />

ncd v itksioGi<br />

KCCV [irj 6vvr]^i^iVOL cutfti', (xoTLOTaystg ^e, TO<br />

TKtV aXQ&V 160V XK) VTtO TO)V [IS6&V.<br />

20 Uaoaday^a ds TOV sv 7ta6aig Taig 6%so'6t<br />

no- 5<br />

TS TtttVTOLCUg v.ccl STUUOQIOIS navTOtccis Xttl<br />

TtCCVTOiKig Xttl<br />

[ILXTttig TCKVToCttig TO T7]g<br />

v sxstvo, v w aTto faorrjTog 7tkcc66o-<br />

1. rear post tag om. G 4. -royg avdnakiv CH -<br />

cog<br />

OL dvKTt. om. P 5. SicccpOQocg f'#. S 6. avrovs TOV?<br />

. om. ff TKvra H 7. diKcpoQU. 7tg6$ P - 8.<br />

ldGiOvi S 9. xovg vn' ccvrovg H 10. ev ds<br />

. 3s G 12. vnonol^KTtl. P nolvnlKGiais KvuloyiKiq<br />

H 13. inipOQfotg] ^ogioig G - 18. arj om. GPH<br />

cvfJiusvoi P 19. IGCOV TOO ano G ano P; omnes quibus<br />

liis uerbis utitur Nicom. loci vno tuentur; cf. I, 8, 14; 9,6 cet.<br />

(lo. Phil. rec. I, TT; II, vs.) 21. V.K\ enitiOQ. itavr. om.<br />

GP 24. Kno tr


API0MHTIKH EISAraPH. 129<br />

Kara r TQia Ttoosrayfiara nvra r rov vov<br />

xal d<br />

idr] et, dMrjhcov vQ&ag re ri&epevcav<br />

fpofievov' Ka6rr] ydg TthccGtg Kal<br />

orl yeco^ierQiKYi TtKVTK rd<br />

5 %ov6a nal T&aQrov ro ev re \LSitpGiv OQOLS ev r<br />

skdrrotiL rov avrov diayvkdrreiv Kvyuv' dhkd KK\<br />

av rov KOIVQV 6rC%ov rQO{i7]xa)v re xcu<br />

vcov 8x&coiJi&a evcc TCKQ' eva 7r.Qie%ovr<br />

d(i


ds ovdzrtoTt '<br />

Tata a$a dicctirrji<br />

Tel {iTa%v ran' CCXQCW itgog tovg pfaovg&tctxdQa&ev.<br />

8 OVTOJ T(k<br />

fiev 6rQ(x 6%rj{iKTa ksytrca TQI%?} dict-<br />

r L TK df IjCirtkOK oiya i]^ oiov 6 a Kal o d<br />

, ft TOVa, tV 01 KKL l] duXCpOQtt $LK\<br />

siiit, an rcrtius dcleantnr, linud scio.


API0MHTIKII EI^AFfMMI. 131<br />

xvfiog xvpov, Kvfto Ttccvxog ywq0tcti 9<br />

ccv ds 1x8-<br />

YIXYI^ xvftov [jj nvpog XQOurjxr)], ovdiltOTB Kvflog,<br />

av agnog KQXIOV<br />

g yevvaxKi, xdv<br />

;, TtaVXCOg JtfQMfGOg , (XV $ 7lQl660 KQTIOV<br />

TtSQiGGOV , TtaVTWg ^IVO^eVOQ


132<br />

NIKOMAXOT TEPA2HNOT<br />

6 yap sr rov d rw avrov rptroi V7tos%t,, rotrov<br />

rot) Ta /3, jcat o y roi) $ keiTtzrcti rc5 avr<br />

ro<br />

'<br />

yap y rgirov povdg iitl plv yap rov<br />

vrtodfiyiiarog OL re axpot iv diTthatiiG) koya) xal ai<br />

rovrcov Tfoog rov petiov dYagpopat Ttdfav v rcn avrcn<br />

SiTtkatiCovi rtoog dAhirjkag, iv $ rep dsvrsQKt tuaregcc<br />

V rQL7t^,K(5itp.<br />

^ara rv\v ap^ft^Ttxiyv/ Xt {iv yap v rotg<br />

~<br />

rt<br />

/ i ^<br />

rotg ii%o6iV) code $ avaitv.Kiv OL [ilv v rotg<br />

^leitpveg^ oi 6f Iv rotg fhccrroffiv e^drrovfg^ ivcc cog if><br />

BKCcrego^i koycav faovrjs ^erai^iQv ovGcc rov ^nei-<br />

3 ovog xccl rov fhdrrovog ev&t&orjrcu. h'n iv [itv rfj<br />

6 KVtG)<br />

re xal Harrow r&v xarQG)&t cpaivsrai, ccvrav de -*o<br />

AAco xal ahka) fif^cov ij e^atrov, ev df rjj<br />

rccvrfl vittvavrCwg' savrov plv yag- 6 [irQG><br />

rs xal T^C3 ^lei^cov rs xal fkarrcov rwv<br />

i itinv , KVTCOV $ fastvov rcov Mttr<br />

3- (3, y, s] v.al orctv TCQ avtm ILSQSI savrov o usifav<br />

r.ov [itoov vnQ%'t)i o ds fAarrcor vTtSQS^rjrKi add. C 4.<br />

vrc5 G KVXOV PH 5. uvxov GPH - 9. SinlccGica CS<br />

10. fV TQJ TQlTll. P<br />

XXV, 2. u v idiov iuscr. 1! 11. itQOtcprjfjisv C -<br />

12. Iv TOJ $ 14. toSs\ v&ci8ej3 - 15. cog om. C<br />

17. KKZQ(av S 18. Gvv&scoQrjTKi CH 21. sxftVcor]<br />

TUV ogcov rwv add. P TWV K-AQWV C aV.cp ^SQEI v.a.1<br />

aM.ro OS 23. rs bis om. P - 24. xaTQ(o&ev bis 5H<br />

om. If TCOV om. GP<br />

10


API0MHTIKH EI Aram. 133<br />

TtdvTcag TG) CIVTG), j?rofc yag SXCCTSQCOV rjpfast, fj 4a-<br />

(pOTSQCOV TQITG)' J] $ 'ySO^fT^LXTn &S BV ^IBTai^LG)<br />

v OVT iv TGJ psac) povov ovre BV Tolg axgoig<br />

,<br />

'AA KCtl V


134<br />

NIKOMAXOT FEPASHNOT<br />

XXVI xg. To ds 7lQQ$ n STtsyvco^iEv ev rfi rov ovrog<br />

T*]Ti<br />

'<br />

aGfrefay dicuQEGsi rrjg KQfiovtxrjg i'diov<br />

) dlKd Kal 01 llOVtiiKOl TtoV V KQpOVfy (5V^l-<br />

hoyoi ev ravrt] ^icMov evgiGKOvrai rfj pstio-<br />

6roi%i,G)d6raros [isv 6 din rstiGaQov ev eiti- 5<br />

TQiTtp Koycp , cjg d Ttgog y , OQO$ Ttpos OQOV v ro5<br />

Kara rov diTthaGiov vxodtiyptxri fj dwc


APIOMHTIKH EiSArs>nr. 135<br />

xcd itdhiv dicccpOQcig Ttoog diayogav sv ro5<br />

v df rco Kara rov diTtkdtiiov OQOV peyfarov itgog<br />

V avrov xal rov pfa&v jj diacpogag r&v<br />

'<br />

Twv fhccTTovcov<br />

rtoog diacpOQuv<br />

r&VTaiov<br />

r. tit xni p&ytffcov Gvncpcovov TO ksyoyievov dig dia<br />

TtaGuv wgavel dig diTtkuGiov, V3taQ%ov ds sv<br />

p rQKitAatiiG)) cbsonfoogoQog rrjg<br />

72 T&v sharrovcov dwupOQttv rj f] TWV<br />

rrjg F.V TQiitkciGiOic; TCQog xr\v<br />

twv tkctrtovov.<br />

10 Tivsg 6s avvrjv aQ{iovixt}v xaksiG&ca vopi&vtftv 2<br />

ico aito rov 7ta$7t&-<br />

/<br />

yG)^itQLm}v df ccQ[ioviciv cpaGl rov<br />

ccTto rov ^arn ra rgia<br />

160,<br />

'<br />

i^duig v ^KQ navrl xvpa tfd r]<br />

, Tthevgal {lev yap Ttavrog xvftov sfalv t/3,<br />

$ 7^, tithtsda 81 g* {ifGoryg aga 6<br />

rcov //3 Kara rqv K^OVLKIJV' cog yag 01 KKQOI<br />

ovrcog r\ rov (isyfavov naga rov<br />

K npog ryv rov [H-ciov naga rov ska,%i


136<br />

or<br />

NIKOMAXOT FEPASHNOT<br />

GvvT&VTs Kol vjto TOV pe'aov<br />

diitAdtiiov drtOTfAovGi TOV vito TMV dxocov<br />

Ttoog aA.hijA.ovs yivoyiBvov '<br />

xal r\ [iv did<br />

(JTI TOV q Ttoog TOV g, 7tiToiTog ydg, ij<br />

dl dia<br />

TOV t/3 TtQos vov rj) rjfjiLohiOS yKQ


API0MHTIKH EIEAr&rH. 137<br />

did TQVTtrjiica&v , iv ds rfj xoodf) dt' v<br />

e% akkov rgoitov dTtorskeiG&ai dvvKvrai at<br />

{jL6orr]rg , fXQi^fJirjtcxrf re xal yewpsxal<br />

aQpoviXfy Ivct fixorcog xal srvpairara xa~<br />

5 Xoivro did rrjv rov yitGov OQOV iierdGTaGiv TS xal<br />

pOQ&g (Svvre^ov^evai^ ovros xai iv<br />

is dvtilv ogoig^ sirs TCSQIGG<br />

xal dgrioig^ evAoyov iV 2<br />

ILerafyu ai rgsig fieGorijTec; ^rrjrsov jrcSg av raysisv<br />

xal rivsg, xal sGratiav<br />

o rs i xal 6 ft.<br />

jtQ&rov ovv xr\v dgi&firjnxrir ivagpo^to xal s'drw 3<br />

20 x xal rd TtaQaxokov&ijuara avrrjg G&ferai xdvra<br />

xdvrav&a' wg ydg exa&rog ogog xgog savrov, ovrcd<br />

xal diatpogd itgog duupOQ&v^ d$a Iv i06rr\rL^ xal ooo><br />

6 fiftgcov rov [letiov , roGovra xal ovrog rov ildr-<br />

rovog v7tQ(pQi,j xal r\ rcav V.XQOV 6vv&6ig<br />

25 6fa rov psGov xal 6 rwv harr6vav OQ&v<br />

3. TlQOl%Q'LGCil] TQEiS ,1(1(1. CSH 4. FTOtlAOTKTK 6rP<br />

jiOT. jU-fCOT^Tfg xtf/l. H 5. OQOV om. S fitTttGTtt-<br />

'] usTafictGiv $ - 8. apTiotg] add. ccfKpOTSQOtg add. SH<br />

r<br />

10. tcp(XQii6 ov6(x P 13. diKcpOQOV^isvrjv^ ctdtKCpog. Ast.<br />

tcpOQOvpsvrjv KVTI rov . . . BXEOOV^LSVYIV' o Aoyo? yag o<br />

TOS TCOV SiQY][jltVCOV, ClM(X TO TtOGOV SlKffOQOV. Ciz.<br />

Scllpl.<br />

cf. lo. Phil. -<br />

I, 13.<br />

pLK.<br />

rov Kvrov CH rrjv avrrjv S -<br />

15. TCQCOTOV ot oQOi P 16. rjrr]r?Ki C 22. KQCC GP<br />

xat yag C om. SH 25. toptov G


138<br />

NIKOMAXOT rKPASHNOT<br />

pstfc&v rov rav ii8it,6v(av<br />

xcd TO VTCO rwv<br />

b'karrov rov ccrto rov ptGov rep aito rcov diacpooaiv<br />

rsrgccyuvco , xal o [ifoos rep avrcp fdico psgsi xal<br />

[isi^MV vitaQ%i-i xccl iKdrrcov rcov axocov , 8V de rotg<br />

&SCOQOVIISVG) ST8QG) KOI erSQG). ittV df TY\V %<br />

ipcchha sic; rovg rtQoxei{ievovg agriovg<br />

rcc rrjs ysaiizrQMYJg idiG)[iarn KvauvTirei^ %K-<br />

$ rcc rrjg dai&iJirjTtxfjg' olog yaQ 6<br />

agog rov ii6ov, roiovrog xcd ofjisGogTtQogrov<br />

xal ro V7to rcov KKQCOV i6ov rep KTCO rov [isGov xal 1<br />

cci o agog<br />

tv re avrc<br />

ev & xcu 01 opot, KCU ovre iv rotg ccxooig<br />

ij rov pegovg rcwrortjg xa&' V7ttoo%r)v xal<br />

ovrs sv ^(?C3 xct&aocp aHH' f.v {ifac) ual<br />

rav auacov Ttnoa, {isaog , sv re iisifrtiiv 1<br />

o ogoig xal ekccrroGiv i


API0MHTIKH EISAr&FH. L-J9<br />

avrti ro5 ehdrrovi faGtQOVp&ois , xal o {ilv ev rotg<br />

OQOI,$ hoyog iiei^cov, skdrrcov d' 6 fV rotg<br />

TTfp ovfc f'?r' AA^g, xl Gvvre&evra ra<br />

xcu t$jro TO?) ^teo'ov JtoAvjtkaGiKCi&svrK dinkd-<br />

74 (?fov ccTtorshft rov vno r&v KKQOV yivo^idvov. av ds 6<br />

fi Oi dvO CCXQOl OQOl ft l} KQTIOi SKT8&K)6lV , AA XQl


XXVIII<br />

'<br />

140<br />

NIKOMAXOT TEPA2HNOT<br />

svQtJGBig, Gvv&flg ra axga TOVTCOV Torjii<br />

^OV j) TY\V TOV [l%OVOg V7tQO%r]V TCOOg TOV<br />

Tova dtxfj rsjicjv nal Ttoog&flg tc5 skdrrovi<br />

%ig '<br />

ys&iisTQMrjv de, TOV vito Tc5v axg&v<br />

xovg TTJV rsTQayoviKriv Ttksvgav evgcav peGov OQOV 5<br />

ov E%ov6i Ttgog ftAA^'Aofg ot OQOL koyov<br />

V, VOVTOV di%a xsyi&v IL&OV noirjGov , olov eitl<br />

TSTQaitkcctiiov diitkaciiov' aQiiovixrjv de, reap axgav<br />

xv\v diacpvQctv TtoirjTSov 7tl rov skatTOvu xal TOV<br />

7tctQaf}A,r)Tov<br />

, eiTcc TO TtAccTog TJjg<br />

TG) skaTTOVl Xttl k'tiTtti<br />

snl TOV GVV&STOV K TCJV 10<br />

K)\. Kal Tad ply 7tQi TMV nagd Toig<br />

&QvHkov[jiVG)v TOLCSV dvaho'yicjv , ag nal<br />

6acp(jToov ^al nA,aTVToov dnqQ&QtdGapsV) OTI<br />

T Kal JtOlKlk(dTQOV VTVVydviV Y]V aVTKlC V<br />

Toig avayvatiiiaGi, Tag o t^g 7tiT{ir]TOv ov TCKVV<br />

cpQO[ivag Ttaod Toig doxaiotg ^ AA fig<br />

7iioiav rjiiwv avTcnv xal TO Oiovfl Ttkrjofg TOV<br />

XXVIII. lo. Phil. rec. I, 9117 p*; rec. II, f^<br />

Iambi, p. 159167. Boeth. II. 39. 40.<br />

1. evQ-qasts] evgeiv S 2. Trpog TOV sX. om. PC<br />

3. dY% S 4. s^si P 5. SVQCOV] Iccficov C rsficov S, in<br />

mrg. yQ. SVQ&V 6. ot OQOI om. H 7. rovrcov P<br />

noiir^GUL G - 8. xca KQfi. ds G - 9. noiriGov H - 10.<br />

yivo^svov S 7tl~] 7t8Qi S t man. 2 in a mut. TIKQU H<br />

12. ysvopsvos C a^jitovtxdg G<br />

XXVIII. 15. &Qr}Uov[iva)v G<br />

vs^QvUryu,. S -<br />

as]<br />

^<br />

TO G 17. i\v\ G 18. rj STti&iirjTSOv P niT7]Qr}TOv S {<br />

S<br />

19. Trcrpa] 7t (Trfpt) G 20. KVX&V om. CS TO oiovsl]<br />

TOVXO OL'iiEiOV S


API0MHTIKH EISArarH. 141<br />

vcp<br />

ojv Kara, vitevavrttGiv rtv<br />

rag 7tcpQa6{Jivag do%rvitovg rQSig, etitsg xal %<br />

avraiv rovrov dvaitkaGGovrai , rd&ag rwyftdvovtiai<br />

p o^ioCag. rrdorr] [isv ij xal vrtsvavrCa kyo[i8VY]<br />

75 TO dvnxsiG&ai Hal dvriTtZTtov&dvai rfj<br />

G v7ta.Q%i , OTCCV v XQitilv OQOig cog 6<br />

did 3<br />

rov Ik&yiGx&v, ovrcog ?] TCDV s^arrovov diKtpoQa agog<br />

rrjv rcov (isifcovov S%TI, olov<br />

10 sv yag SiTtKuGitt ra GvyxQi&svtct oQarcu '<br />

cpavegov<br />

de, Haft' a qvavTiGJTca rrj KQpoviXTf' rc5v yap CCVTGJV<br />

KXQC3V a[KpOTQKig V7tKQ%OVTG)V KCil Iv di7tka


142<br />

NIKOMAXOT TEPAZHNOT<br />

yctQ 6 ^ilv d TOV /?, [ie'0o$ ooog TOV<br />

? o ds fl TOV K, l^a^iOTiov diayogcl ftoog<br />

cpogdv [isyfarav' o d' v7tvccvTLOv ccvTrjv rfj<br />

peTQlKfl 7tOli^ bKlVO KGTIV , OTl 7tl {16V iKBLVT<br />

fMC'tfOg 7tQO$ TOV liA,CCTTOVCC) OVTCOg T] TOV fAS<br />

Ttgog tov fifaov vitSQO%ri TtQog TY^V TOV pt-Gov<br />

TOV tkttTTOVK , STCI 6f TaVT^g KVKTtaklV I] TOV SA.CCT-<br />

TOV 16OVO' lOV OW^ XCCi<br />

r dmkadiov ivsG&cti, TO vxo TOV<br />

OTOV Kca peGov TOV V7to TOV {teyfavov xccl ka%i6TOv, u<br />

5 TO yttQ TttVTKKlQ, 6 dlTthttGlOV TOV 1tVTaKL$ /J. Y] $<br />

^ OTKV v TQiGlv ogotg y cog o<br />

TOV 8ka-<br />

TOV {letiov, ovTcog y TOV [isGov TCKQK<br />

1H5TOV V7tQO%l] TfOOS Tr]v TOV fLSyifftOV TtttQK TOV<br />

iv rjiuoMa yaQ BX&CSQOI hoya' soixvta 6' car ice xal<br />

g Jtoog rrjv yCO{i8TQixrjv vitzvavTiOTTiTOS,<br />

ydy xdvTav&a i? TCJV hoycov ouoioTrjg cog<br />

6 Kal cd pv itccQa Toig TtgoGfrsv &$vAkoviivcu $%<br />

s (6i, TQtg yiV Ml TtQCOTOTVTtOl<br />

KVA, JflAcfTOVO KVCO&V KTtO<br />

1. TOV ante l/lofg. oin. (f - -J. sla^i'arcov] S^CCGOOVOJV S<br />

'2. o. Kka%lGTOV TtQO? dlttCpOQKV fJiyiGT(OV, J.CC%lGT(OV &S<br />

dictcpOQK TIQOS diacp. [isyiGTcov H 3. fisytarcav'l TO ft TOV<br />

u repetunt GPH vKSVcuvxiccv S uvTy H 6.<br />

V7tQO%r] TCUQK TOV (ISGOV TtQOg TY]V TOV USGOV V7tQO%r]V<br />

nciQcc, TOV slccGsovK C G. 7. tj\v A. -S" vnsQO%riv 7.<br />

Kvci7ioiln>\ cos o USGOS ngog TOV lci%iGTOv, ovTCog add.


l'K-KMHTIKJI ElSArSiFH. 145<br />

V d 9<br />

p<br />

STSQUL exetvcug vitsvavrCm rots<br />

urr' sxstvovs vito^vn]^aroy^K(poi^ T? xal<br />

rovg TOVTCW OQOV^ rs Kcd diacpogag STCov<br />

xavv (jwpcnrc(xo(ji,4vcc$ rote,"<br />

g ro fi^J douelv dyvostv<br />

trjde itn\. TtQ&TJ] [ilv ydy avrwv, sfi~ 7<br />

6s bv r/y xctocov Gvvrd^ei SGTLV , oral/ fj cog o<br />

os 3t(M)g ro?/ f'A^t(Jroi/, oinog nccl r\<br />

o O^OS" ex&teQOv<br />

oyd&q dl {i<br />

rc3V lkct%i(5T &v s%]^ cog<br />

o", g, J.<br />

x^)coi/ uJtfQOjffl TtQog xi\v<br />

1. 7tKQU[jiivK6ai S vTTcevTLai C 3.<br />

FTKKIVOVVXKS G 6. W? Olll. C IS71TO-<br />

AoyovftiWg /f 7. a? om. CH ot.iov<br />

GPS - 8. bniGro%aGxov S 9. om. H ?/ cog om. .S<br />

9. 10. 6 ... TOV om. O' TOOJ> om. C 12. $, 77, ?<br />

C0(l(l. COllt'. ij 11. 13. SKCCTSQK CH OQKTCCL P SV %K-<br />

TtQK 017x9. OQKTKI S - 18. -fr, J, ? ^7 19. Ao'yo?J om.<br />

:<br />

P^' 1'U. t'v TJ? TCOI/ om. P TCOT^ om. G 1'1.<br />

om. // - 24. st S


144<br />

NIKOMAXOT rEPASHNOT<br />

10 rj dl 7tl rtdtiaig dsxd'rr] plv tfvMLyptiip/ , TSTCCQTI] ds<br />

11<br />

fV rf] TG3V VOTQMO)V X&S o fte'tfog itgog tov zhuyiGrov<br />

oiov<br />

rcov augcdv ngos tv\v diacpOQav<br />

Tudi[i()rjs YKQ 6 iv exr^ Gv^vyuK hoyog. sitl<br />

TOIVVV 01 r&v dxa ccvcchoyiwv OQOL l%-<br />

vrp sv<br />

XXIX Aomov not<br />

TtaG&v T<br />

xa<br />

Kctl a5g<br />

rrg<br />

TCQOS ^o evtivvomov,<br />

7,


AP10MHTIKH EISArOTH. 145<br />

rag dkkag, si'itsy ^ sittitsdog<br />

, dhkcc, dvGuv, LV' ovro tQt%i] du-<br />

cjg 6 xvpog aqpovfa itoo {l()a%Eog sGacprj-<br />

vi


146<br />

NIKOMAXOT TEPASHNOT<br />

d rov [i()ov Kal rrjg rcov aKocov 6vv&6cog di-<br />

3 TtkaGiov rov VTtd rcov aKocov. v7t6diy{iK avrfjg Grco<br />

roiovrov<br />

g, 77, #, ifi'<br />

OVKOVV 6 ILSV g GKakrjvdg and rov a7ta, /3 roig,<br />

6 $<br />

ifl and rov dig /3 rolg iv 6vv8%eiK [irjxvv<br />

raw ds {i6G)v 6 [lev shdrrcov v.Tto rov anctt, /3<br />

xtg, 6 ds [isftcdv KTto xov aitat, y rotg , nol<br />

TS 01 axooi, Kctl roi%rj diatfrarol xal o^ioyevsig av-<br />

rotg CCL [ifGorrjrsg) KOL xara {LBV rrjv ys&pEVQMcrjV IQ<br />

cog o if} itgog rov ^, ovrcog o & n^dg TOP g, Kara de<br />

rrjv KQi&iirjrixrjv o6co o L{3 rov & VTCSQS^L, rotiovrco<br />

xal o & rov g, Kara ds rr\v ao[iomKY)v co {isosi, d Y]<br />

rov g v7tQ8%8i,, v avrco rco g rov ^ioovg fre&Qov-<br />

, TOVT& vTtd rov t/3 v7tQ%rai v avrcj rw t/3 15<br />

. aM.a pyv Kal d ^sv rj nodg g $ d if}<br />

dia rGGaocov v STtirQirm Ao^w, 6 $ & Ttodg<br />

g i] 6 tfi TtQog ^ di,a ndvrs ev ypuoMc), d d if} Ttgdg<br />

g dia iiaGcov ev diTthatiico' Aoindv df d & Ttodg rov<br />

7] roviatov v famydoty O7to {iraov KOIVOV itavrav 20<br />

rcjv v [lovGixrj Adycov, ars Kal yvaQiiiG)Toov 6V,<br />

ori aoa Kal diacpooa rcov Ttocorov Kal 6roi%eiG)d6rd-<br />

rcov 6v[icpc6vcov ftodg akkri<br />

Kal 7tol kv rcov v<br />

1. dinldaiov] snl ravxrjs<br />

add. H 2. SGTUI S<br />

5. Z.nu TQELS P 8. [isigcov vno P 9. ot om. GP<br />

avTol P 10. fiEV add. Ast. 12. VTCSQS^SL om.<br />

GPS 14. sv avrw . . . &SCOQOVU,SVOV] TG) avTW {is-<br />

QSl TOV ifi V7f' KVTOV TOV ify VUSQ^STKi C - 15. TOVTO G<br />

- ano H -<br />

f 1619. Trpog] xov quinquies add. CSH<br />

18. ^jtito^i'co] Aoyoa add. S 22. KQCQTOOV] rjroi rcov dia d r]<br />

s add. C in mrg. 23. VUKQ^L] VTCSQB^L P 24.<br />

lSVCOV C


API0MHT1KH EISAr&rH. 147<br />

roGavta ag ev<br />

NiKO[j,a%ov P Tslog rfjg<br />

%ov aQi&prjTiKfjs s^gorycoy^? C<br />

Tf'Ap? Trjs (XQi&fA'rjTiKrjc; ftgoryojywg<br />

TK> 8s dsaj doa ncd<br />

JVixofta'%0^.<br />

cdvog H Tf-<br />

Aog GVV &(o rijs aQi&iirjTL-Kfis NIKO[ICC%OV TIv&KyoQiov rov<br />

PSQCCGIVOV r [Xe (XQLGTE) ngorjyov rwv ~<br />

spcov


nPOBAHMATA API0MHTIKA.<br />

a. TOT KTNOZ.<br />

z/ o # svrtov KTto [iov ado g oitoGcovovv<br />

(5 v ^, it a g.<br />

> cp^rjg SVQBLV, o6og 8


nPOBAHMATA API0MHTIKA. 14


150<br />

^H Kal ovrco '<br />

HPOBAHMATA API0MHTIKA.<br />

kayiflavdrcd ro rj^LL6v rov d(<br />

rov {i%oig ov ij tyrytiig yCvwai Kal<br />

rovrco [tovddog r\\Li6v Kal rov yivoiivov<br />

(jia^rco [ira rov aoi^^ov^ ovnvog ikij(pi ro<br />

Kal rov yivo^vov avfag yivao'K&G) dvai rr\v rtiv 5<br />

K)V 6VV&(5lV. OLOV COg 7tl rOV Tt(<br />

rovrov ro rjpttiv<br />

*i&[iov rov i<br />

,<br />

'<br />

&g {tovddog ijitiGv , yuvovrai r) ravra<br />

Giatiov 7tl rov IE , yivovrai QK. Kal h'tin Kal ovi<br />

rj VQ6ig d(j(paA,6rdrrj , cog Kal nl rrjg 7tooroag 10<br />

iif&odoV oito 'da dlt,ai. TOT ATTOT.<br />

06COV lTtOTS XXi{lSV G)V<br />

sv i'6r] vitSQOxfjrovGvyxscpakaioviisvov IK<br />

rrj g 6vv& 6 sag avr K)v ka[i (lav iv. 15<br />

IloiOi ovrco '<br />

^K^L^ave rovg axoovg rcjv dxxsi-<br />

[is'vcov Kal rovrov rd rjpi&q cfwrifrflg Kal jroAAo:-<br />

rd qpfar} rav O.KQCOV ,<br />

7tl rov doL&iiov rov n^d'ovg rav EKKSL-<br />

rov IK rfjg &vv&i


IIPOBAHMATA API0MHTIKA. 151<br />

TK rjiifar] TCOV axocov i xcd TO Tch^d'os<br />

ovv Ta TtoiovGiv o '<br />

xal tnl TCOV aMcov oftotwg.<br />

TOT ATTOT.<br />

d. a, a, a, y, 7,


152<br />

HPOBAHMATA API0MHTIKA.<br />

TtgojTOv, xal 7tvrartka6ia6[jiva vno rov<br />

itoiovGiv<br />

'<br />

o^ioicog xal rrjg roag [ifQidog x xal<br />

VTtO TOV TtQWTOV TtOlOVtiLV |.<br />

01 r}g a fir iog<br />

olov doi&iio v %i rig itl vovv.<br />

'AQI&H,OV ovnvaovv rav ano rov f<br />

VTto nvog v diavoia i^7j^i^ivov fyrojv voiv OTCO-<br />

fiog firi, kri^i] avrov ii&6da) roiads' Bitira^ov rc5<br />

xard didvoiav %ovri, rov aQi&[iov xyvcptcog nag'<br />

avr(p x(lakiv an' avrov rov y, ofidxig f/yxco^ei-, iu<br />

xal rd xarahficp'd'tvra xdra&ev rov y, i xara2,i-<br />

6n, xcpavqfiavra i7tiv irgog fi' ov xal<br />

rwv xarafoi-<br />

fiv dv&' xdfirrjg [lovddog<br />

kd[i@av ry fifj %UQl rov o doi&{iov' oiov<br />

i [iv {lovdg xaraA,i,<br />

G>V xal jixafiryg si<br />

[lovddog rov i Aaficov xal ovg %i$ itdvrag<br />

X rrjg liCHfvvccyGyy'fjg d(pg, ofidxig dvvy, rov o ,<br />

drjkovori ,<br />

xal rov xdroo&fv rovrov<br />

19. sv aig drjl..] scrips! pro ev r/ 8^. cod.<br />

i


HPOBAHMATA API0MHTIKA. 153<br />

/<br />

yivco6x TovaQid'^ov eivai, ov<br />

TOV v TG) Ao^ttffiw TOV fiyriftfavTOg tfe svgstv TOVTOV<br />

itv-<br />

Tti/ rwv ngov'BvrGW KQI^L(OV , 95 ftfrii/ 6<br />

txstvov hrjcpftfis.<br />

ds ra fayopfva xal di' v<br />

KCtl 6TO) VCp' ^CJV 7tl VOVV<br />

ov STtstdf} povhsTat rig evyttv rfj<br />

> %()(*){lVOg , 7tlTCCTTl TOV<br />

% avrov otidxis fy%G>Qet' ov xal tvvdxcg txfiallonag'<br />

rjftaiv wcpavovvr&v Ttgog avrov xal<br />

'<br />

15 avO1<br />

Taxis<br />

[tovada, ovrog dvr' avrijs rov o r-fj<br />

tra %al TOV s oftotog x/3AAoftfVov<br />

xd()Tr]g TCOV xaTaA.t,7to{ivcdv TQICJV [io<br />

vdd&v TOV xa ^a^iftdvov TO'V yiv6{ivo<br />

ra5 TtgoTfoov ih]^^iVG) Ta5 o '<br />

fitsl d xa TOV<br />

TTJV n&odov xpakAo[ivov TZTQaxig ovdlv<br />

ovd' OVTOS dvTi TOVTOV Aaft&v iiva, AA' ano TOV<br />

20 f'x TTJQ 6VV&6Mg {lOVCdV XLVOV TOV T d^loVOTi O<br />

xal TOV %y> TJTOL djto TOV oty x(laA.cov TOV $ TOV<br />

2.L7to^ivov xr] Kiyti rtgog yiiag wcc[i


154<br />

HPOBAHMATA API0MHTIKA.<br />

roGovTovg, OGOI vTtskeicp&rjGav, xal<br />

xccl rov TQirov o^ioicog &eivcci rotiovrovg, oooi vitsxccl<br />

kafitiv


I. INDEX.<br />

In hunc indicem omnia quae apud Nicomachum rcperiuntur uocabula<br />

praeter ca quae admodum uulgaria sunt recepi; absunl numeialia, prono-<br />

inina, praepositiones, coniuncliones, neg-ationes usitatissimae, nisi grauior<br />

quaedam caussa ut inserercm me adduxit (omisi ig-itur aAAa, yap, 6*,<br />

JU,V, 00, Of, |(i?7, ce!.; recepi jrpaJTOg, cum numerum primarium sig-nilicat,<br />

fdv pro civ positum, fdv ct OTCXV cum ind. uel opt., cet.); asleriscus *<br />

numero praefixus uariam lectionem indicat, nota cet. me, cum oportere non<br />

arbitrarer, non omnes quibus idem uocabulum leg-itur locos adtulisse.<br />

. yccysiv rr)v TWV usgcov<br />

\VGIV \i%gi povadog<br />

I, 10, 2. sv&siai u%ftcaGi<br />

XI ' 7 ' 4 '<br />

aylfOGGO? I, 15, 1.<br />

ayvostv II, 28, 6. Probl. 4.<br />

T7) KVTfj TCtst V.Cil<br />

II, 14, 3.<br />

TO.<br />

dtttltpfd I, 3, 4.<br />

diULQETog I, 9, 6; 11, 1;<br />

17, 4.<br />

? I, 13, 2.<br />

O.8 LK6TKTCO GVVtv<br />

II, 6, 3. (arjusiov")<br />

II, 6, 7.<br />

9<br />


156 INDEX.<br />

I, 1, 3.<br />

v.olovQ'itivI, 23,<br />

3; 23, 7.<br />

dyiolov&ta I, 18, 1 ; 23, 9.<br />

Kara . . dy.olovQ'iav I,<br />

,<br />

2 3 ><br />

,<br />

2 '<br />

axoZo'yfro?. 6 qp-ufffiax.il, 8,3.<br />

11,2.<br />

of axoAov'O'oi 1, 19, 5 ; II,<br />

7tl TOOV d-XOhoV&COV<br />

I, 19, 13. yivzGis I, 21,<br />

1. -- axO/lovd'Ol' VQ1]GLg<br />

1, 19, 11; II, 2, 2. -- T<br />

axoAov-fra II, 5, 1 ; 6, 3.<br />

dti6lov&6v GTLV II, 16, 1.<br />

^ dnoloy&cog II, 11, 1 ; 26, 2.<br />

cotoff/aog fu0


tots nolvycovovg II, 14,3.<br />

ret Tov'roig dva^oyovvrcc. I,<br />

22, 2.<br />

vctkoyici I, 3, 5; II, 6, 3 cet.<br />

G%s6ig xal dvahoyiK 1,23,<br />

14; II, 2, i cet. KCITK rr]v<br />

avrrjv uvK\oyiKV I, 13,6.<br />

definitur 11,21,2. at Troeo-<br />

TKL dva^oyicii II, 22, 1.<br />

(yiiT0ix?7 pCffOtt}?) xv-<br />

Qtcog Kvcchoyia {lovrj Y.a'Lov-<br />

(lV7] II, 24, 1 (cf. U<br />

'<br />

><br />

dvdloyog. 01 dvdloyoi (dgi%'fioi)<br />

1, 19, 3 cet. ava'Zoya<br />

I, 23, 17 cet. TO dvdloyov<br />

I, 19, 13; cet. dvdloyov<br />

1,18,6; 22,2; 23,3; cet.<br />

ava^fiv. stg rp Ttdvrcf dvct-<br />

IVSTUL I, 11, 3. si? o II, 1,<br />

? dvaloycos II, 6, 2; 11, 3 cet.<br />

1;7, 4. dvalvousvov II,<br />

1, 1. - Si$ dpCpOTSQK ttVK-<br />

^V&1]GSTKL II, 5, 5.<br />

II, 1,1; plur. II, 1, 2.<br />

iu'l II, 21, 6; 24, 2; 29, 2.<br />

o$ Probl. 5.<br />

tti/au-qpiAs'ttToog I, 23, 4.<br />

avanciliv 1,19,19; 11,2,1 cet.<br />

II, 28, 2.<br />

9<br />

dvunodtfcsiv. OQOL dvccTtsnodiGufvot<br />

II, 2, 2.<br />

dvK7iodi,Gii6$ I, 5, 2.<br />

KVUGTQBfpFLV. K. TOV l6yOV II,<br />

6, 5. dvaGTQScpSL r\ rcov<br />

ofioiorrjg II, 28, 5.<br />

s nsi(.t,vcov xat ava-<br />

I, 23, 11; II,<br />

24,5. (7'(7a)S KVSGTQCCli-<br />

[isvrjs I, 23, 14. (apidj^.)<br />

KVUGTQKCpSVTGJV I, 23, 9.<br />

dvuGTQOfpr]. f| ctvccGTQOcprji; I,<br />

23,12. *I,9,2. rav ava-<br />

GTQOCpUV I, 3, 4.<br />

1,23,10; 11,24,2.<br />

*I, 9, 2.<br />

INDEX. 157<br />

t<br />

lj I, 5, 2.<br />

. -srca I, 22,3;<br />

II, 27, 5. -- ovrca 1, 23,16.<br />

-OILSVOV 1, 22, 4. dvct(pccvrj-<br />

(78rat 1, 3, 5. Kvctcpavrjvui<br />

1,3,5.<br />

ctvccfpvsiv. dvs(pvr]6Kv I,<br />

10. *<br />

?<br />

11,^5,<br />

23,<br />

4.<br />

(XVCtCpVQSlV. v ytovicov<br />

II, 13, 5.<br />

avst'xoo? falsa lectio pro av^'~<br />

? xoog *II, 14, 5.<br />

*II, 14, 5.<br />

*II, 23, 1.<br />

II, 3, 2. (KVSTU-<br />

o's falsa lect. * ibid.)<br />

II, 2, 4.<br />

vrjvvrois<br />

IV Probl. 4.<br />

'o I, 3, 7. Aoyoff<br />

I, 23, 7. voiiog xal<br />

ovv&rj[icc II, 6, 2.<br />

^vS-pcoTro? I, 2, 3; 4, 2; 5, 1.<br />

KV&VTtttV.OVSLV. 6 KV&VTtK-<br />

KOVCOV TCO STtLTQtrOJ I, 19, 5.<br />

TO o:i/'9"U7raxovoj' TCO t'cw<br />

I, 17, 5. dvd-vnccyiovoov-<br />

^ rail, 21 % 3. v<br />

dvLGKHig. dv. aviGoi dviGd-Aig<br />

II, 17,6; 29, 2. ^xt? tdot<br />

aa/idaxts II, 29, 2.<br />

dviG07lA.SVQOS II, 16, 2.<br />

I, 17, 2; JL7, 6 cet.<br />

S CtVlGK dvo T-<br />

I, 7, 3.<br />

, 17, 2; II ? 1, 2; 16,<br />

1; 18, 1 cet. dviGorrjTOs<br />

G%SGL$ I, 14, 2. j^foog I,<br />

18, 2. fin?/? I, 2:-J, 4.


158<br />

. . @dG(DS<br />

INDEX.<br />

CiTtO<br />

O.V16X CtyiSVCll II,<br />

*!!, 16, 2.<br />

II, 16, 2.<br />

dvTKTlOY.QiVSLTKL I, 8, 11.<br />

Aeag I, 8,<br />

^<br />

10.<br />

1<br />

avTaTrdxpKJf.g I, 8, 11.<br />

dvTCCCpCCLQSlV I, 13, 11. - -GO*/<br />

I, 13, 12.<br />

I, 13,^ 11.<br />

. TtQog allov dvr-<br />

I, 13, 1. I,<br />

14, 3; 22, 6; II, 29, 2. *I,<br />

*I, 9, 6.<br />

13 11.<br />

I, 9,1. -- a 1, 17,8.<br />

iSGralTca I, 18, 2.<br />

KVV KVTldlK-<br />

1,8,11. - TtUQCl xi]V<br />

. . dvcidiKGrolriv I, 16, 5.<br />

Tt&Bvos I, 17, 6; 17, 8 ; 19,<br />

20; 20, 2; II, 6, 4. *I, 11, 1.<br />

I, 19, 18.<br />

I, 14, 2; II, 16, 1;<br />

28, 3. part. 1, 11, 1 ; 13, 1 ;<br />

t 14, 1; 16, 1; 17, 8; 19, 20.<br />

UVTllaiLfidvBLV. CCVTilaficO II,<br />

27,5. (ccvTt[iSTKh(xp(o *ibid.)<br />

CCVTLTtKQCOVVfjiSiG&CCi I, 8, 10. -<br />

-<br />

iuo?;z'Ta>2; *II, 3, 1.<br />

KvmtKQcovv^iog. ioyoi OCVTL-<br />

TtOCQOlVVfJiOl II, 3, 1.<br />

&VTl7taG%lV. avTlKZlG&Kl KCli<br />

otvxmsTtovQ'ivcii II, 28, 3.<br />

CCVTL7t7tOV&rjGlia. V.KTU T7JV<br />

I, 16, 4. (? av-<br />

*!, 9, 2.)<br />

avTiGvynQivi.v I, 13, 11.<br />

pass. I, 20, 1.<br />

27 '<br />

TOV<br />

1U.I 1,22,7.<br />

] I, 23, 1.<br />

I, 23, 3.<br />

ai/UfZoig I, 17, 6.<br />

9<br />

dvv7tQ^drcos II, 23, 1.<br />

avco II, 6, 4. ot aVco II, 3, 2<br />

diagr. ; 4, 1 diagr. d aVo><br />

CTt^Og II, 3, 3. - dv(OTQCO<br />

II, 26, 1. dvcoTdrail, 17,2;<br />

II, 4, 3. - TO dvtoTCtTOV TQLyavov<br />

II, 12, 2. (dvwxuzoi<br />

*n, 4, 3.)<br />

Kva&sv I, 10, 8; 18, 1 cet.<br />

Ttdliv dvK>&v I, 13, 5 ; 14, 1 ;<br />

22, 2 cet. Kviaftsv dno<br />

IIvd-uyoQOV II, 28, 6.<br />

dvcowuos *I, 9, 4.<br />

II, 18, 3.<br />

1,2,5. TO coQiaa-<br />

VOV 7tQOyVGTQOV TOV KO-<br />

QLGTOV I, 23, 4; II, 18, 5.<br />

doQiGztas II, 20,<br />

t ^2. ^<br />

dndSsiv. diSaGKcclia. dnddovoa<br />

II, 12, 1.<br />

}<br />

ccnci^^KGGEiv. a.nr\Ukot.v.'tcii I,<br />

10 ' I"<br />

vofiog I, 23, 8.<br />

I, 2, 1 ; II, 5,4.<br />

a. II, 17, 3; 19, 3.<br />

r<br />

o'pog a. II, 21, 5. d<br />

I, 23, 3.<br />

. . KVXL7t7tOV&7]GLV CtnCXQ(X7todlGXOV * I, 13, 6.<br />

I, 7, 3.<br />

9<br />

dvTiTCEQLGrccGis I, 8, 10; 9, 6; f<br />

vo^og I, 23, 8.<br />

a7ro:08|ii7rdd\ I, 13, 6.<br />

13,11. Y.UXO. dvTlTtSQLGTCt- ttTTOfg I, 3, 5 Cet.<br />

GLV I, 8, 10. . d.7tLQiCi II, 18, 3.<br />

ccvTiGXQZcpsiv II, 6, 6. K7tLQOg I, 2, 5 : 18, 4; II, 18,<br />

dvxiGxgocpij . % dvxLGtQOcprjs 4 cet. ret rov<br />

I, 9, 2. pfqrj I, 23, 4.


INDEX. 159<br />

QOV I, 2, o; 13, 3; 18, 4; II, anoUilog z'yodog II, 20, 5.<br />

10, 3 cet. [L%Qig dniQOv cntoy.&.TCt.GTct.Ti'x.og II, 17, 7.<br />

I, 8, 9; 10, 9; 16, 4 cet. dnoKlsiELv II, 4, 2.<br />

gv&Ltti, . . TTV-<br />

Ao'yoi') drcoKOQVfpovv.<br />

(X7tQido^VOg I, 4, "2. QUfllda DiTlO/lOQVCpOVGlV II,<br />

I, 23, 4.<br />

f 13, 5.<br />

I, 23, 5.<br />

r G%Gig I, 21,<br />

KTCOKOGULV *I, 4, 2.<br />

3. (XTtOKQIVflV. KTtOKQLVfJTKL II,<br />

GTOl^flci DiTCLd II, 1, 1. 21, 5.<br />

ngbg d.7i^r\v f^icpaGiv I, 19,. dTto^a^^dvsiv. OTC(V TY\V no-<br />

8. [iovdg vt.Ttl.ri I 19,7. GOTTJTK dnoldficoGiv ol ysvt'cpodog<br />

II, 20, 5. vri&ivTsg II, 3, 2. a?roa.<br />

II, 22, 3 cet.<br />

^ A^qp^frda *I, ^13, 12.<br />

6,2.<br />

Gr}[.ii(oGLg II,<br />

cbawg 1,1,1; 1,3;<br />

dnokeiTtEiv. r\ KnoltKp&SLGK<br />

/Liova? 1, 13, 12. *I,16,4; %<br />

13, 1 cet.<br />

^ ^ 17, dno. TO dnb TOV (HGovI,8, 14;<br />

1.<br />

dno^r]yLv slg yiQvdSa. I, 10,3.<br />

II, 23, 6; 24, 4; 27, 3. KTto'hkvvtti. yiyvotifvov HCCL<br />

TO ano- I, 9, 6; 10, 10: 19, 17; dnoMvusvov I, 2, 2.<br />

ft M<br />

,<br />

aivsiv. ano^aivsi u,oi I,<br />

16, 5. dnoprjGovTtti 1, 23, 5.<br />

dnoysvvuv II, 19, 1. aTroysvvcoGi<br />

I, 18, 1. unoyev-<br />

V7]Oig I, 16, 4.<br />

I, 23, 12.<br />

. 10, 8.<br />

I, 10, 8.<br />

ytvcoffxfG'9'offc *II, 13, 9.<br />

ccTtoygcicpov I,<br />

10, 8.<br />

5<br />

KTtoyvuvovv *I, 18, 1.<br />

WTTO^fiXT/VftV II, 1, 2. - aTTOd'gtxvvovat<br />

11,17,3. c??ro-<br />

6 v<br />

ft^ort II, 1, 1. uit$8stupsv<br />

II, 1, 2; 11, 1; 22, 3.<br />

diisdsLxQ"ri II, 17, 2; 18, 1.<br />

ftTrotfsr/trs'ov II, 18, 1.<br />

*I, 22, 6.<br />

I, 23, 6.<br />

Probl. 1.<br />

anodidcoGi, II, 5,<br />

2; 8, 3 ; 12, 2. part, praes.<br />

II, 5, 2 ; 25, 5. djtodcoGovGt,<br />

II, 24, 2.<br />

II, 5, 1 ; 5, 2 ; 5, 4.<br />

Probl. 6.<br />

SCOg .V T<br />

ras ccnotjiSiovQtG'r) rr\v<br />

coGiv Trig ftVQCcuidog II, 13,<br />

9, (


160<br />

- *II, 24, 5.<br />

II, 2, 2.<br />

GtTtQSTtttK I, 14, 2.<br />

ccmctiGTog I, 1, 2; 8, 13.<br />

KTtTCCLGTCOg II, 2, 4.<br />

pa II, 27, 3.<br />

ri 1 14, 2. 1, 23,5.<br />

aQsral ijohra<br />

XCKT' aps-<br />

I, 16, 3.<br />

?<br />

/. apO-peoffca *I, 2, 3.<br />

I, 3, 1 ; 3, 7 ; 4, 2 ;<br />

4, 5 cet. Trspi<br />

(irjTwdg I, 3,4.<br />

1 -<br />

rag apt-9<br />

6V apt-9'tt7?Ttx?7g<br />

I, 5 2. avahoyiu<br />

KQ. II, 2-2, 1.<br />

(isaovrjs ap.<br />

definiturll, 23, 1;25, 1; 27,<br />

1 cet. slgaycoyrj KQ. I, II,<br />

inscr.;^ II, 21,1. ca ds'xo:<br />

ap.


6 TciQKVTLVog I, 3, 4.<br />

dGT8i(og Probl. 5.<br />

1,5,2.<br />

I, 3, 5; 6, 1.<br />

, . I, 3, 7.<br />


162<br />

OV 7tQOVCOQlV<br />

I, 18, 1. (J,8%Ql JovlSL II,<br />

14,5. [i%Qig ov fiovliezcti<br />

Tig 7tQO%63QtV II, 13, 5. -<br />

cp' OGOV fiovlsTUi Tig nctQct*<br />

"Aolov&stv I, 18, 5. dno-<br />

dst^KL fiovhofjis&a II, 1, 1.<br />

TOVTO 7tiVOtV 7KXQEGTL<br />

TO) (SovZoflfVo) [l%Qig CtTlSt-<br />

QOV I, 22, 4. Probl. 5.<br />

K%VS. ni ^QK%V I, 1, 2.<br />

v @Qa%i SLUQ^QCOGCO II, 29,<br />

1. TtQO pQU%og II, 6, 1 ;<br />

22, 1. ovdl TO @QCC%VTCC-<br />

TOV UL TCCVTOV dlCt[lVl I,<br />

2, 1.<br />

SK figscpcov I, 3, 6.<br />

II, 16, 2.<br />

oi 7tcrf.aiOTQQ7ioi, HKcoviKoi<br />

ft. II, 16,2.<br />

ni nkccTog v.al<br />

enl pd&os I,<br />

19,^11.<br />

. Kara TQV tov Xsyopsvov<br />

ya(jLOv TOTIOV sv ry (/lAa'rcuvog)<br />

IJohTSioc 11.<br />

11,^24,<br />

I, 17, 5. fig<br />

(6Ti'%og) TtQog tov<br />

I, 22, 6.<br />

INDEX.<br />

pass. I, 9, 4; 9, 5; 16. 4; 23 y<br />

6 cet.<br />

5, 4 cet.<br />

y&vvrftsi's II, 3.2;<br />

yvvr}TiKog rj^aoKCov II, 3, 3.<br />

TQiytOVOt, yVV7jTLyiol T(OV<br />

TtohvyaJvcov II, 19, 4.<br />

ysvog I, 7, 3;<br />

xara TO<br />

8,<br />

4;^ 8, 6; cet.<br />

wnvov yvog I,<br />

9, 1. cet.<br />

f<br />

yfcpvgu. ycpvQccig TIGLV f'owe<br />

TO. pa&ijticcTCt I, 3, 6.<br />

rsQccorjvog (rQctoiv6g, -ovvog)<br />

vog *I,23, 17 (p. 72).<br />

y(opTQia I, 3, 2 ; 3, 7 5,2.<br />

; 4, 5;<br />

y6o (uT()r/tOff. Tag yfcoptTQinag<br />

I, 3, 4. yscoa-fTpr/cA;<br />

figcxytoyt] II, 6, 1.<br />

y. CCVKloyiu<br />

II, 22, 1; 23, 4 cet.<br />

y. [iGOT7]g defiuitur II, 24, 1 ;<br />

25, 1; 27, 1; 27, 4 cet, y.<br />

KQfiovia (xv'^og) II, 26,2.<br />

II, 13, 3.<br />

yfCQUOQLK I, 3, 7.<br />

ycoQyi'


ycovcov II, 11, 1. yv. TCOV<br />

TlokvyoJVOJV GVVTQ~VTg II,<br />

13, 6.<br />

yvwqiuog.<br />

29,<br />

yvcogt^KorfQOv II,<br />

4.<br />

yvaJGig rrt g ccl.ri&i'


164<br />

*I, 3, 5.<br />

root/ KLGrixav nxk. I, 3, 6.<br />

8lCtyLVCOGKlV. TO 7tQl XK [ICtdiayv(0[ivcxi<br />

1,3,4.<br />

Ki I, 13, 11. -xcc-<br />

AVLV KTtO O^VXEQOV KKQOV<br />

II, 16, 2.<br />

G%Gig &LK-<br />

I, 23, 15. 8is-<br />

,Goxr]S defmitur diw^t'yfO-O'ori.<br />

II, 21, 6; 23, 2. GKOTIEIV rotg o^O'w<br />

II, 23, 3. HUTU TO<br />

II, 24, 4.<br />

I, 1, 3.<br />

II, 24, 2.<br />

11,23,5; 24, 2.<br />

tv<br />

diaiQCOfjiSvII, 24, 11.<br />

Sielsiv 1,2,3.<br />

Probl.4.<br />

CCQTl&i 8lCCKKQ. I, 18, 6.<br />

vno V.OGY.LVOV Sia-<br />

I, 13, 8.<br />

TtUQCt<br />

II, 17, 1. distAf'yaf'&a II,<br />

6, 1. Sia.leiQ'ivxci *I,3,5.<br />

'.K^1718LV. KQl&UOV 8. I, 19,<br />

6. 8vo u,Govg 8. I, 13,<br />

3; II, 10, 2. xXQK8K 8.<br />

I, 13, 14; II, 11, 2. 8iK-<br />


8LO.\vsiv.<br />

cava] diulvGctg II, 12,2.<br />

diKvo^svov TOV<br />

Big r][J,l6).lOV V.&1 BTtlTQlTOV<br />

ia.lVBG&Kl 11,5,3. UQI&pbg<br />

dicd.v6fj.svos slg novadctg<br />

II, 8, 1. 1,12,2.<br />

Sialv&siri<br />

SiKlvrov 1, 12,2.<br />

TTOISIV II, 2, 4.<br />

Bnl TKVTOV I, 2, 1.<br />

xr\ Bdvrchv OVGL'K<br />

VOVTK *I, 2, 1.<br />

8. II, 27, 5.<br />

] uno TLv^ayo-<br />

QOV SLK^SLVKGKL II, 28, 6.<br />

UVffJtSlV. dLaVV(AT]TOtl TK<br />

TOV UfJl&llOV TtKVTCC "AX'k. II,<br />

18,4.<br />

dvorjTiMov. TO Trjs tyv%ri? d.<br />

I, 23, 4.<br />

voiav . . 7tl rd vor\xa I, 3,<br />

4. TCQOVTtOGTfjVCCL BV TTj<br />

I, 4, 2; 6, 1. KCLTO. 8iuvoiccv<br />

%iv Probl. 5.<br />

j. plur. I, 3, 7.<br />

. . . ijitGorrjros II, 29, 1. -<br />

II, 28, 1. diUQ&QcoGca roc<br />

avpfispnyio'ea 1,2,3. pass.<br />

I, 5, 2 ; II, 6, 1.<br />

II, 22. 4.<br />

ret SiriQuoGiiiva<br />

I, 6, 4.<br />

II, 16, 2. TCOV<br />

opcov II, 25, 5. nvfiov<br />

II, 6, 1.<br />

INDEX. 165<br />

6, 3; 7, 1.<br />

itg&rov. Ssv-<br />

TfpOI', tQlXOV, LGOVy KVIGOV<br />

d. II, 6, 3; 7, 1; 13,1; 15,2;<br />

16, 2; 17, 8; 24, 7 cet.<br />

II,<br />

^<br />

OS SCp' 8V, $1%?],<br />

6, 4 ; 7, 1 ; 7, 2 ; 13, 1 ; 13, diKcpogog I, 6, 3.<br />

fi: 15, 2; 20, 5; 29, 1.<br />

. TtQOXSQOV Sl(X-<br />

f][iiv II, 18, 2.<br />

1/3,3; II, 2,3.<br />

*I, 8, 11.<br />

(<br />

rrjv ccQi&[ir]TLKrjV<br />

II, 23, 1. rr\v<br />

opoiav G%Gtv II, 24, 2.<br />

ccrcLGGfiv. ndvTK TKVTCO cpv-<br />

Gscas BV TCO noGpcp SiartTuyfisva<br />

1, 6, 1. Probl. 6.<br />

SiKTK^uyiBVtt)<br />

uxslslv 1,2, 1. TCI ael<br />

diccxBlovvrcc I, 1, 2.<br />

QOVVTSS II, 27, 6.<br />

QIJGOVGL TOVS Ao'yovgll, 19, 3.<br />

iacpSQSLvI, 9, 4; 10,1; 11,17,<br />

1; 28, 4 cet. part. I, 6, 3;<br />

6,4; 7,5; 9,4; 19, 11; 22,3;<br />

II, 11, 1 cet.<br />

1, 13, 7.<br />

cpvysiv I, 8,8. diacpvyov-<br />

Tfg 1,13,8.<br />

QKV I, 17, 4. - S.<br />

19, 14; II, 12, 8.<br />

t'%FLV I,<br />

KL KK&'<br />

VTtoSlCClQEGLV SnXCpOQKL I,<br />

18, 4. dicccpOQCtv r\ fpvGig<br />

riGB I, 19, 12.<br />

sldiov I, 23, 6.<br />

II, 18/1. 9.<br />

oppos. Koyog II, 20, 3; 21,2.<br />

(Siacp&OQK falsa lect. * I,<br />

17, 4.)<br />

16, 4. yscopSTQiHrj (USGO-<br />

$Lacpogov^Bvri II, 27, 1.<br />

II, 27, 1.<br />

Koyov II, 24, 5.<br />

I, 13, 2.<br />

11,12,1. * I 13,10.<br />

I, 17, 6.


166<br />

II, 2, 1. Probl. 1.<br />

/f I, 6, 1.<br />

flit. I, 3, 1.<br />

II, 23, 3 ;<br />

VGSl<br />

1, 1, 3. (hijvfxcag I, 2, 1.<br />

diLGicivca. (xu'(3o?) xar' ^ffo-<br />

r^ror diffrcu$ II, 16, 3.<br />

dllGTCCVSLV. iV OVtCO TQl%fj dl-<br />

I, 3, 5.<br />

,29, 1.<br />

II, 22, 4.<br />

dr/toUovpos definitur II, 14, 5.<br />

#to I, 16, 7; II, 17, 4.<br />

[z/toyfV^g] u. Kvcov.<br />

dio).ov 1, 13, 6.<br />

SiOTtSQ I, 11, 3; 12, 1; 11,4,2;<br />

17, 1;.18, 3.<br />

I, 3, 5.<br />

nlKGittgeiv. pass. I, 21, 1.<br />

*II, 15, 5.<br />

iTclaGittGig, Y.a.ta xr\v rfjs<br />

%coQccg din\K6iuGiv I, 13, 6.<br />

os I, 8, 10 cet.<br />

1,23,3 cet.<br />

I, 23, 16.<br />

s I, 22, 2 cet.<br />

I,22,2cet.<br />

din\aGi7tiT: TCtQTOsI, 22, 2 cet.<br />

diTtlaGt^TCLTSTQUiJifQijg I, 23, 3<br />

cet.<br />

*<br />

dl7tlKGl7tiTTQC(7IlL7tTOg I,<br />

23, 17.<br />

16.<br />

,3 cet.<br />

I, 23,<br />

I, 22, 2 cet.<br />

g I, 22, 3.<br />

i ibid.<br />

I, 22, 2 cet.<br />

gl, 3, 1 cet. Probl. 1.<br />

3i7t?iUGicog II, 20, 3. -<br />

,8,lO cet.- Probl. 1.<br />

a TtKGoiv (rj<br />

INDEX.<br />

17.<br />

I, 5, 1 cet. cf.<br />

g I, 23, 16 cet.<br />

*II, 17, 2.<br />

I, 22, 2.<br />

I, 13, 12.<br />

. sv dicpOQijczi 1, 19,<br />

I, 8, 4 cet. Probl. 4.<br />

%d^eiv. OTtcog av di%ciG%-ri<br />

1, 7, 4. di%KG&Y]VKl I, 8,<br />

4; 9, 1. *I, 17, 6.<br />

TOV 8l%KGlLOV lltl"<br />

l I, 10, 2.<br />

SlKLQETOg I, 11, 1. 6.<br />

II, 6, 4 cet.<br />

II, 8, 4.<br />

bTti8F%G&ai 1,7,4.<br />

, 3, 7 ; II, 20, 5. - Probl.<br />

4. xara TO toi"g Tlv^aouv<br />

11,22, 1.<br />

TO prj Sov.stv dyvoslv<br />

II, 28, 6. doxovvri pro<br />

I, 3, 4.<br />

II, 6, 1; 15, 1; definitur<br />

II, 17, 6 ; 29, 2.<br />

cc. TO So^r) jLt<br />

GBcog a^o'yov dot^aGrov I, 2,<br />

2. *II, 29, 5.<br />

frarov I, 2,2; 3, 6.<br />

g (sv agria


Probl. 4. oGctKig dvva-<br />

TOV I, 13, 12 cet.<br />

dvGig. avaTokoci TE v.al dv-<br />

GEig I, 5, L.<br />

3m8s*ds I, 19, 13.<br />

*Edv pro av post relat. I, 8. 7:<br />

9, 2. c. ind. I, 13, 12.<br />

c. opt. II, 24, 1. xor'v.c.<br />

opt, II, 12, 3 cet.<br />

4.<br />

'<br />

1, 13, 13; 22, 3 cet.<br />

@do(Jidda<br />

cpcovr) II, 1, 1.<br />

. EyysyQucp&co *II, 3,<br />

I, 9, 4; 19, 6.<br />

Kara rr]v . . . syrd'giv<br />

I, 13, 6.<br />

V.O.XDC. rag iyusiijie'vag . . .<br />

TtQogrjyoQiag I, 22, 7. sv-<br />

S'KELTO I, 15, 1.<br />

I, 23, 5.<br />

I, 19, 8.<br />

iv Probl. 5.<br />

av<br />

I, 9, 4. u.%()ig ov<br />

av 7tgo%cf>Q. f&skcoiJiEv I, 13,<br />

3. si s&ilsi rig II, 12,4.<br />

Sivui. ttGops&a I, 6, 4; 18,<br />

1; 19, 8. iGTfov II, 1, 2;<br />

, 5; 28, 5.<br />

. 6 .<br />

, Probl. 5.<br />

I, 22, 4.<br />

(G%Gig] I, 21, 3. f . V7IO-<br />

I, 22, 2. tec<br />

I, 22, 2. fldiKwg<br />

1,19,2; 19,8; 20, 1. % 9,1.<br />

Cdo7COL?iG&cu I, 13, 1; II, 17,<br />

2; 18, 1.<br />

fidonoirjGig II, 18, 1.<br />

fld.og I, 2, 5 ; 7, 4; 10, 1 cet.<br />

?<br />

TO: TOV ovrog si'dr] I, 3,3.<br />

T orpcoTtara ^vo fi'^f o:<br />

I, 3,<br />

4; 6, 4. cet.<br />

flv.fl [ASTQSLV I, 13, 3.<br />

II, 16, 2. to? shag II,<br />

17,7.<br />

I, 4, 4.<br />

INDEX. 167<br />

SLXOGTOflOVOg *I, 12, 1.<br />

ftxo'rcog I, 1, 1; 20, 1. 11,7,2;<br />

12, 8; 17, 2 cet.<br />

f^xojv. xar' fUova I, 10, 5;<br />

H, 18, 5. Trpogayop^vftv<br />

7r6 ohstag ?txorogll, 16,2.<br />

TO. TOV SIVUl f^lGTK-<br />

I, 1, 2. i[isv pro<br />

II, 18, 4. i'fifjisvttt<br />

I, 3, 4. SVTL pro lort I,<br />

3, 4. EGTL 3s ors I, 13, 7.<br />

- ^ TOV OVTOg f7tiGTlj(J.r] I,<br />

1, 1. 97 TOV ovrog SLKL-<br />

QEGig II, 26, 1. TO ov at<br />

I, 2, 1. Ta_cWL 1, 2.<br />

77 fV TOtg OVGLV Kklj&ElK I,<br />

I, 2. ra oVTa II, 18,4.<br />

cet. ovrcog ovxa I, 2, 1.<br />

sfaziv Probl. 5. uide SQEG&KI.<br />

sfasQ I. 11, 1; 12, 2; II, 20, 1.<br />

fiff. ?8t? I, 15, 1. (a) G7]-<br />

(isiov xov svog II, 6, 2. f cp'<br />

?v dtadTaTovII, 6, 4. cet.<br />

sigayfiv. r\ TCOV CCQTI sigayopsvcov<br />

sgig II, 6, 1.<br />

ftgaytoyrf I, 19, 20. KQI&lirjTiHTJ<br />

f. II, 21, 1; 22, 3.<br />

*II, 29, 5.<br />

s .<br />

II, 6, 1.<br />

yftoiUfTptx^'<br />

Trow'rr; 1,23,4;<br />

II, 12, 1; 29, 5.<br />

/<br />

T TTjff<br />

figayojyrjg axo'^ov-frall, 5, 1.<br />

SITU passim.<br />

sirs LTf I, 3, 5; II, 17, 5.<br />

snaGTog passim.<br />

SHCiTsgog. fg>' BY.UTBQOV I, 7,<br />

5 ; 8, 10 cet. s cp' EKccTega<br />

I, 7, 5 cet. Trap' xTfpcc<br />

I, 8, 1 cet.<br />

ExaTlfMD&cp I, 8, 1 ; 19, 11 cet.<br />

Y.aTQ(0&L II, 25, 2.<br />

gcoov I, 14, 3.<br />

Tccdcov I, 16, 3. ev fxa-<br />

TOVTKGIV I, 16, 7. ?y 7CQO-<br />

%a>Qr]Gig sig snaTOvrdda I,<br />

19, 18 cet.<br />

^ailfiv.<br />

-<br />

pass.<br />

srfctlsiv Probl. 5.<br />

ibid.


168<br />

. X(?J7AoT?(>oi> 1,5,2; II,<br />

20, 3. ixfyliOTttTOv 11,22.3.<br />

II, 2, 3; 25, 2.<br />

II, 12, 1.<br />

, 8, 11; 23, 7; II, 12,<br />

4; 19, 1. TtaQdkijjkog f'xoK<br />

11, 6, 2.<br />

^va/loyog f 20,<br />

H-9-.il,<br />

5. CCQTICCI Hd'GSig I,<br />

8, 10; 8, 14. v nlsioot<br />

y.al f7fL^r}y.GTQcag e-n&s-<br />

GSGL II, 21, 4. cet.<br />

xf


t<br />

II, 28, 6.<br />

TS<br />

svccvrtcaivvpEiv I, 10, 5 ter.<br />

VttVTLCOVV[lOg I, 9, 2.<br />

I, 23, 17 (p. 72).<br />

II, 19, 1.<br />

cpcovij II, 1, 1.<br />

II, 27, 3. SVTJQ-<br />

*I, 6, 4.<br />

I, 19, 11 cet.<br />

SVUTSVlfelV II, 19, 1.<br />

evdsicc I, 14, 2.<br />

tvdtxsa&cct I, 16, 2.<br />

eveivai. f'vsGTi 1, 10, 5.<br />

I, 21, 2.<br />

iv<br />

*II, 29,<br />

pro<br />

2.<br />

SQysLct I, 1, 3. s<br />

(oppos. dvvd[LSi} 1,16,4; 16,<br />

7; II, 8, 1 ; 14, 1 cet. xar*<br />

ictv (oppos. y.Ta: 0Ldcog I, 6, 4.<br />

>. falsa lectio pro<br />

BTtOLY.08. *II, 13, 7.<br />

vo7iTQi^iv. pass. II, 26, 2.<br />

SVOQUV. pass. II, 28, 7.<br />

svovv. war Probl. 5.<br />

I, 2,<br />

r^vco-<br />

4.<br />

11,27,1.


170<br />

s&tctcig I, 9, 6: II,<br />

29. 2.<br />

. TtcfQdIlrilo? II, 4, 3.<br />

ffjs passim.<br />

ftg II, 6, 1.<br />

i^iardvai. f&GTrjGi II, 17, 4.<br />

- T(X TOV FlVttl E^lGTKIJiEVa<br />

I, 1, 2.<br />

ivoti. f'oix<strong>org</strong> 1,3,8.<br />

r/f I, 3, G. loixvta II,<br />

28, 5. TO: otxra I, 3, 1.<br />

if I, 3, 7.<br />

, 14, 1. * II, 3,4; 4, 1.<br />

FLV *I, IB, 13.<br />

II, 1, 2; 15, 1.<br />

f'nsiTct I, 8, 5 cet.<br />

7tVKtiQrjg *I, 23, 17 (p. 72).<br />

*I, 23, 17 (p. 72).<br />

fTTf^fVpOV II,<br />

28, 6.<br />

I, 18, 6 ; 23, 7.<br />

loyov I, 4, 1 ; 6, 1.<br />

TOTtOV Y.DC.I TQOTtOV 7t. II. 0. 3.<br />

lovra iiQT] I, 14, 3. xo-<br />

p-ygooms 7ra fTtifidllovGa.<br />

II, 14, 5.<br />

*7rtytvro(7Xii>. snsyvcousv II,<br />

26, 1. 7tiyra)GTov 11,6,2.<br />

fni'yvcoGts I, 8, 13; 19, 20.<br />

S7TLyQK(plV I, 3, 5.<br />

I, 19, 17.<br />

L 23 : 17 (p. 72).<br />

*I, 23, 17 (p. 72).<br />

II, 3, 2; 4, 2. a'p.<br />

xrtxot rav-<br />

II, 18, 3. tmcpKfTu8zy.xiv.ri<br />

dvoiv Sia-<br />

II, 6, 6.<br />

roiLTjV 1,7, 3; 10,<br />

3. dtaiQSGiv I, 9, 1. -<br />

, 10, 2.


I, 1, L Goyici 8. rfjg 8v<br />

roig OVGIV alrjfi'S fag I, 1,2;<br />

1,4; 2,3; 3,3. TO vrto<br />

87tiOTr]iir]v itLitTOv I, 23, 4.<br />

iLGrrjiiovixog KQi&iiog I, 6, 1 ;<br />

6,4. 87CLGTriU.OVlY.Cil LLS-<br />

INDEX. 171<br />

11,29,2. fff'-<br />

II, 24,5.<br />

rg iieitpai-<br />

II, 29, 5. *I, 19, 20.<br />

detinitur II, 6,4.<br />

&odoL I, 3, 1. TO. 87tLGrr]- II, 7, 1 cet.<br />

a I, 3,6.<br />

f<br />

>. 8CCV Gr)U8L OLg TLGlv<br />

87ttrp8Q8LV I, 3, 5; 3, 7. ZTCOL-<br />

G8Lg * I, 16, 4.<br />

sniGTL^rjg rovg ttQL&LLOvg I, 7ii%8LQ8iv dvrjvvTOLg Probl. 4.<br />

13, 7. 8Tt6ySoog II, 2, 3 cet. *I, 23,<br />

7tLGTQ%ttGT80v falsa lectio pro 17 (p. 72).<br />

87tLTQO%aGT80V *II, 28, 6. 8 7COLY.odOLL8LV. ttQL&llOL 87COLY.O-<br />

8TtiGvvK}'cayr] Probl. 5. SOUOVUEVOL II, 13, 7.<br />

f 7tLOVV&8TOg * II, 2, 1. 87tOKTttLL8Qr]? *I, 23, 17 (p. 72).<br />

3 Cet.<br />

16, 7. -- 87tlOVVT8&8LS II'<br />

^ 11, 12,<br />

1^12, 2. STCTCinXaGLog *I, 23, 17 (p. 71).<br />

71LGC008LK 8VTKY.TOg II, 15, 1. STTTttg I, 16, 5 Cet.<br />

II, 8, 3.<br />

I, 16, 4; 16,<br />

pass. II, 9,<br />

7;<br />

3;<br />

in&vvp.{a II, 7, 3.<br />

10,^2; 13, 7.<br />

fTiLGcoQSVGig 1, 16, 4.<br />

iniTKTTEiv Probl. 5.<br />

avrog TLvog I, 13, 11.<br />

ETtira^ov Probl. 5.<br />

7CiTTUQTog I, 22,<br />

2 cet.<br />

2; *I, 19,<br />

fTriTfTpaf'^0^05 *I, 23, 16.<br />

I, 13, 2. TO<br />

13,<br />

V.OGY.IVOV I,<br />

l7tlTTQUUS()t]g I, 20, 1| 21,<br />

3. ^<br />

QyOV. Oi Kvfioi f. LG\ TC8QIG-<br />

Goav II, 5.<br />

^20.<br />

8QG&Ca. 8QOVU8V II, 17, 2.<br />

01 8i$r]u,8voi ((>.) I, 10, 1 ;<br />

II, 8, 3. r] Qrj&SLGK U8-<br />

&o8og Probl. 5.<br />

?QXeo9ai*I, 17,1.<br />

8QCOTCCV. OraV . . 8QCOTrj^COll8V<br />

I, 21, 2 cet.<br />

I, 3, 7.<br />

I, 23, 8.<br />

IT ri 8sv ILK I, 3, 8.<br />

II, 28, l.<br />

&YIU.I II, 14, 1. Tf'/lo? 8TCI-<br />

&8Cvui II, 21, 1.<br />

frciTQiiiSQi'iq I, 20, 1 ; 21. 1 cet.<br />

8TtiTQinSLl7tTO? * I, '23. 16.<br />

f7tiTQiT8raoTog I, 21. 2 cet.<br />

STtiTQiTog detinitur I. 19, 4;<br />

19,15. I, 3, 1; 5, 1 cet.<br />

87ttTQlTCOg II. 20, 3.<br />

II, 286.<br />

Probl. 1.<br />

I. 16, 4; 23, v<br />

15.<br />

O 6%UTOV ttVCtlvZTCtl<br />

IJ *' 1 '<br />

P<br />

8T8QOy8V8lV. U8Q7] 8TEQO}'8vovvra.<br />

I, 10. 5.<br />

6, 4. (TTf^fa f . II, 15, 1.<br />

8T?QOySVig 87tllJi8Q8ig I,<br />

23, 16. 8 TSQoyzvco? 1, 10, 5.<br />

frtgoiovv. pass. II, 17. 4.<br />

8TfQ0^7Jyir]g aQi&iiog I, 19, 19.<br />

definitur II, 17, 1; 18, 2.<br />

II, 16, 3; 20, l ; 24, 5.<br />

r<br />

8T8QOg. ZTZQOVV.Ctiz'tf QOTTITCI Oi<br />

nalaiol iv rfl SvuSi f&co-<br />

QOVV II, 17, 1. TO 8 Tf 00V


172<br />

II, 18, 1. TO TtQOg 8T8QOV<br />

JlKtg %OV TCOGQV II, 6, 1. -<br />

cet. STSQCQS I, 23, 16 ; II,<br />

17, 1 cet.<br />

II, 17, 1; 17, 5.<br />

I, 3, 6.<br />

STQCOVV(itV I, 17, 5.<br />

, 18, 1.<br />

INDEX.<br />

Kai 8. II, 20, 2. VTKY.Ttv.<br />

loyuv . II, 25, 1. I, 23, 4.<br />

TSQCQVV[jiOC;. (JiOQtOV 8. I, 11,2;<br />

5><br />

16, 4. -^>


tf 11,1,2.<br />

V.CU K7tOLY.iJ.Og II, 20, 5.<br />

f/TrotxiAcors'pa I, 10, 6.<br />

8. ykttCpVQCOTSQK I, 23, 4. -<br />

AO.TK xriv avrinv s'cpodov II,<br />

11,1.<br />

I, 2, 2; 3, 4; 6, 3 ; 8, 2;<br />

8,7; 9,1; 10, 7 cet. Probl. 4.<br />

fl^sl, 16,4. gsi 1,10,2.<br />

f^ovdi I, 13, 8. Probl.<br />

1 ; 3. &># I, 12, 1. GW<br />

II, 10, 2 cet.<br />

s II, 5, 5.<br />

Probl. 4; 5. ^T^-<br />

II, 27, 2.<br />

Probl. 2.<br />

r] I, 3, 3.<br />

CQOI; I, 2, 4;<br />

15,<br />

4, 2; 4, 3; 14, 3;<br />

1.<br />

*H passim.<br />

rjysLO&cu II, 4, 2. rjy^GT(XL<br />

I, 23, 7; II, 3, 1; 22, (<br />

f 3.<br />

7Jyfi(ov hoycov II, 4, 2. ??.<br />

lAfGorqTcav II, 22, 3.<br />

tfyovv *1I, 29, 2 cet.<br />

?J(?r7 II, 13, 1 cet.<br />

ijtfvs% S f )j. fl I, 3, 8.<br />

??ahxo?. Tyohxcu a0Tcu'I,23, 5.<br />

rjpioliog I, 3, 1; 4, 4; 5, 1; II,<br />

3, 2. definitur I, 19, 2. cet.<br />

-<br />

rjiiioMcog II, 20, 3.<br />

1,8,5. Probl. 4.<br />

1j(lLGVflCC I, 9, 3.<br />

1,8,1. TO rj(it.. avctloyiai Trorpor ToTg<br />

-


174<br />

INDEX.<br />

II,<br />

28, 1. -- [lEGOTrjTSS TtCCQCC<br />

II, 28, 6.<br />

Probl. 6.<br />

ici I, 3, 7.<br />

'Idtiv<br />

I,<br />

23,^ 4.^<br />

uide ogav.<br />

id^xcog I, 9, 1; *I, 20, 1. (toV<br />

Y.OV *I, 22, 4.)<br />

idi0^v,ri


I, 3, 4. Hcchsoas I,<br />

1, 1. pass, praes. I, 1, 1;<br />

2,4; 11. 3. Y.lr\^r]GBTa.i<br />

I, -20,1. xfxATjfffTatll, 14,<br />

5. cet. xA^Tf'og*!, 14,3.<br />

I, ,14, -2.<br />

TO xaAoV I, 23, 4.<br />

ta xa/la I, 16, 3. v.aAcog<br />

I, 3, 4 cet.<br />

v.ttvwv povoiKog II, 27, 1.<br />

V.CtQTEQLU I, 23, 5.<br />

nurd. TO xaoK ccvTO per 8sv-<br />

TFQOV Y.al 6VV&8TOV, TCQOS<br />

a/Uo dl TtQOJTOV Xttt (XGVV-<br />

&STOV I, 13, 1; 13, 9. TO<br />

Xa-9 1<br />

'<br />

8KVTO UOGQV I, 17, 1.<br />

KCCTCty'Qacpi] II, 9, 1; 17, 1.<br />

YMTCiV.OGU.SLV. XttTttXf Y.OG^i]-<br />

G&CCi *I, 6, 1.<br />

HCLTKlsinsiv.<br />

Probl.<br />

pass. I, 13, 13.<br />

fiv<br />

5.^<br />

tig 8^cc3a TJ 6y-<br />

I, 16, 3. x. ftg TO<br />

II, 17, 7.<br />

Oiada 1, 13, 11 ;<br />

I, 13, 12.<br />

&s I, 13, 13. *I, 16, 3.<br />

ig I, 1, 1; 1, 2.<br />

rilia TS%voloyia$ I, 20,<br />

iL%Qt


176<br />

TO TT? i}>v%fi$ loymbv<br />

rov odoyov xoff^iyn-<br />

I, 23,^4.<br />

loyos I, 4, 2. 77<br />

rj TtQOVOid II, 19, 1.<br />

V.OGlLQTtOllK. TtQCOTT] $LULQGig<br />

rfjg KOGponouttg II, 18, 4.<br />

Y.OO[l07lOl6g &0g 1,^ 6, 1.^<br />

y.o'(7|aog I, 2, 4. T layopEpa<br />

XOV Y.OGpOV XSGGKQU GXOL-<br />

%SIK II, 1,1. - FV TOO Xo'ff^GO<br />

I, 1, 4 2; 6, 1; II, 18. 4. -*-<br />

TOV TiQOsrjuovTOS v.o-<br />

5.<br />

I, 16, 3; 23, 4.<br />

Y.QSLTTOV I, 3, 8.<br />

Probl. 5.<br />

. ETEQCOVV^ICC<br />

^ I, 12, 1. aoi-9 1 -<br />

/u-6g TO: ^ifQT) shccTTOva fcxvrov<br />

x^xr^^ffog I, 15, 1.<br />

y.v^Qvrjxrjs I, 1, 1.<br />

xv/nxog apt^og II, 6, 1.<br />

TO TOJV XV/5lXCOV 7tifVQK)V<br />

GvGrrjaa II, 24, 9.<br />

II, 15, 1;' 20, 5. - definitur<br />

11,16, 1; 17, 6; 24,2.<br />

- d'vo xv|?ot


OLOV Ao'yO<br />

%T/l. 1, 6,1.<br />

cet. (Probl. 5.)<br />

g I, 1, 2. - Ot AotTTOt I,<br />

11, 3. XK loind I, 4, 2.<br />

Probl. 4. TO "kontov fl-<br />

So? I. 7, 4; 10, 1. - - Z(H-<br />

TTO'V ( 14, 3 ;<br />

15, 1.<br />

lcodict II, 1, 1.<br />

I, 23, 15. hxwKV-<br />

TCO (I. II, 27, 1. - TO HtVOI/<br />

L3, 2.<br />

I, 6, 1; 8, 10; 9, 2; 10,<br />

2 cet. Probl. 5^<br />

sig dvo IGK ^Qi-<br />

I, 7, 2. cog aV<br />

Probl. 4. (ou-<br />

at'a) (iSQiGrrj II, 18, 1-<br />

[ISQr] [IEQIGTK Lg rjflLGT] I,<br />

10, 2.<br />

Probl. 4.<br />

I, 8, 4 seq. rcc<br />

X(OV (J,Q(OV IISQT] I, 8, 7.<br />

(Ltf'pry ^ ^SAT? I, 14, 3; 15,<br />

1. (i. svccvTKOvvaov rrj<br />

Svvcf^ei I, 9, 2. fi. rs-<br />

QCQVVfJlOV, 7t(XQ(OVV[lOV I, 12,<br />

1. *ca:a /u,. I, 3, 4; 6, 1.<br />

7CKQU (I. I, 8,<br />

10. sx<br />

6ig<br />

cet.<br />

(JiSVOl I, 21, 1. (KV XB- pSGlXSl'tt I, 7, -2.<br />

NICOM. ED. HOCHE.<br />

*<br />

12<br />

10. -<br />

g II, 25, 5.<br />

. dicecpOQccv r] cpv-<br />

I, 19, 12.


178<br />

falsa lectio edi-<br />

tionis Par. * II, 5, 4.<br />

psaogl, 1, 2; 8, 14; 10, 10 cet.<br />

- TO flGOV 1,9,6. TOC llfOCi<br />

I, 9, 6. TO ccnb TOV pscov<br />

I, 8, 14 (u. dno}. TO vno<br />

TWV {isGcov I, 8, 14 (u. vno).<br />

ava (j,Gov I, 13,1; II,<br />

5, 2. nl TO. psaa II, 7,<br />

4 cet.<br />

%<br />

ittffovije I, 8,^3; 8, 10; 9,6 cet.<br />

*<br />

[i. v.a.1 avctloyia 11,21,6.<br />

ft. (XQi&fjirjTLynj<br />

II, 23, 1.<br />

p. yscoiiSTQiKr] II, 24, 1.<br />

ft. aQfiovixij II, 25, 1.<br />

'<br />

CQTr], 7t[L7tTr],<br />

II, 22, 1.<br />

ft. TfAflO-<br />

II, 29, 1. cet.<br />

flTK^KLVLV I, 2, 1 ; 23, 15.<br />

II, 5, 1.<br />

II, 24, 11.<br />

ig * 11,^27, 1.<br />

OQOL [ir]<br />

11,27, 1.<br />

. navroia I, 2, 1.<br />

/u-fraygi'Tyg. ^ acpcciQiKr]<br />

yV6TQUyCOUSTQl


INDEX.<br />

179<br />

1,19,19; II,<br />

I, 10,<br />

Tl,<br />

3.<br />

18 3 * 29 3<br />

ft 171; II, 21, 3.' aUaft.1,23,16; 8, 1. fa '(JLOVKGIV I, 16^<br />

II, 17,2; 29,4. Tt ys ft. I,<br />

19,<br />

3. cet.<br />

7. ov ft. 11,6, 3; 18,2; [lovrj. TO Iv (toyy I, 3,2.<br />

23, 1. T\ v.ivr\Gi^ cpvGEi [iSTU rr\v<br />

).<br />

(j\ agffrft^Ttxr}) oiovsi P,QVJ\V I, 5, 2.<br />

6g koyov 7tE%ovGK I, ftovog 1, 1, 1; 2,3 ; 3,8; 4, 2 cet.<br />

4,1. J\ KQiQ'iiri-t iv.il (oGKVEl povcoTctros I, 8, 2; 23, 6;<br />

lM]TriQ I, 5, 3; f<br />

-<br />

faorrjs olov<br />

II, 6, 1.<br />

[iijtilQ<br />

v.x'k.<br />

II, 17, 8.<br />

[IOVO%EIQ I, 15, 1.<br />

I, 23, 6. ftrfTOt I, 8, 7; 9, 3.<br />

[IOQLOV TtlSE%G&Ki 1,11,2.<br />

ovdsv ft-Oftoovoftfri, 13, 1.<br />

[irj%civi]. K TWOS Sai^ovici


180<br />

voi]xiY.6g. TO sv<br />

XIKOV I, 3, 6.<br />

VOlLl&tV 11,26,2. - VOfJLLGXSOV<br />

1, 2, 5.<br />

vopog. vd/ico rjiisTSQGj 1, 19, 14.<br />

- V. KKI GwO'T^LCitL KvQ'QtQ-<br />

Ttivco II, 6, 2. vofioi<br />

v.oi I, 23, 8.<br />

I,<br />

^rcovos) 3, 5.<br />

voGog I, 14 v/ 2.<br />

vovg 6 XK ola<br />

I, 6, 1. - tXQl&pOS STtl VOVV<br />

Probl. 5. snl<br />

vvv.<br />

%iv Probl. 5.<br />

f.i%Qi xov vvv Probl. 4.<br />

'Oydoccg. stg oydoddu KKTCC-<br />

Irjyeiv I, 16, 3. cet.<br />

oyxog TCOV crcpryxcov 11,16.2.<br />

t'v oyxco I, 17, 3.<br />

I, 3,' 5.<br />

oSovGLv I, 14, 3.<br />

INDEX.<br />

vorj-<br />

II, 17, 3. ot6[isvog<br />

I, 1, -'.<br />

OIKSLOS. XO:T' OI-ASIOV TOTTOV<br />

II, 22, 1. otxfi'a y.oilot;-<br />

-d-t'a I, 18, 1. [iT


23, 3; II, 12, 5.<br />

I, 19, 13.<br />

I, 15, 2 cet.<br />

{l(pCQVOg. TO 6. fiTav TOV<br />

O^VTSQOV -ACtl pKQVTEQOV I,<br />

16, 1.<br />

i I, 13, 1.<br />

6 (Jicowp i a I, 23, 4.<br />

INDEX. 181<br />

II, 27, 7. oiftei 1, 19, 16.<br />

fyo>e#:II, 4, 2; 22, 1.<br />

6ll>8LG&CCl I, 3, 4. OQCLTCit<br />

I, 3, 1; 3, 8; 10, 4; II, 28,3.<br />

ocp&rjGovTai I, 18, 7; II,<br />

19, 4. coqpfl^ II, 23, 6;<br />

24, 1.


182<br />

INDEX.<br />

', 19,2; 19,7; 19,16; ndvv. ov it. II, 28, 1.<br />

II, 4, 2. *I, 13, 7.<br />

II, 27, 7.<br />

ovSsig. TO ovtffv ovSsvl GVVrs&sv<br />

ovdtv noLSi<br />

cet.<br />

II, 6, 3.<br />

ovSsnco I, 8, 13 cet.<br />

ovdsrsQog I, 10, 4 cet.<br />

OVKSTI I, 8, 5; II, 9, 3 cet.<br />

OVV.QVV I, 19, 11; II, 18, 3 cet.<br />

ovum I, 19, 8 cet.<br />

ovQKvog I, 6, 1.<br />

OVGICC 7] orTfog v.a.1 uCSiog I,<br />

6, 1. ovGiav rrjv noGotrirog<br />

4. o. KSL<br />

fysiv 1,^6,<br />

yt,uru roc KVTCC e%ovGcc II,<br />

,18, 4.<br />

ovrcog passim.<br />

ocp&ttliiog y.vy.koTQrig<br />

IIuyxcttsTtog I, 3,<br />

1,15,1.<br />

8.<br />

TtCt&Og I, 1, 3. Tt. 7tCCG%lV<br />

II, 17, 7.<br />

Probl. 6.<br />

dctcav I. 3, 5.<br />

Probl. 6.<br />

. ot Ttciluioi I, 1,1;<br />

II, 17, 1 ; 18, 4 ; 21, 1 ; 22, 1 ;<br />

28, 1. KaxK TO ncckcciov<br />

I, 7, 4.-* II, 16,2.<br />

Q-sv<br />

s(/3co/ios) II, 2.<br />

1^6,<br />

1,3,1 cet. n. ds av(o-<br />

I, 14, 1 cet.<br />

nupnolvg. TtK^nollov? VTTSQ-<br />

TSl.l$ . . 16,<br />

fVQCGHSG&Ul I,<br />

3.<br />

nccvtKTtctGiv av'kog I, 6, 1.<br />

7tavTK%ri II, 16, 2.<br />

7CKVTK%O&1 II, 15, 3.<br />

I, 13, 7.<br />

I, 18, 6; 11,10, 1; 16,1.<br />

II, 14, 2.<br />

. g'lfltyftot navrotoi<br />

I, 6, 1. -- fV TtKVTOlCC (JiSTCC-<br />

I, 2, 1.<br />

I, 5, 2. TT.<br />

II, 24, 5. navTOifos 1,2,1.<br />

TtKVTOTS I, 7, 4.<br />

II, 2, 2 cet.<br />

i7 I, 17, 3; II, 27 , 7.<br />

*I, 17, 7.<br />

falsa lectio pro<br />

. *II, 13, 3.<br />

(XQ%TV7tOV I, 4,2.<br />

- I, 6, 1; II, 24, 5; 28, 11.<br />

loyog 1,4,2.<br />

Svo loyovg 11,5,5. TCKQK-<br />

Sf-iy-Ttov II, 20, 5.<br />

*I, 8, 5.<br />

(pf]Siayvo3Gi.vI, 3,4.<br />

SlSoTUL V TTj<br />

slgccycoyy II, 6, 1.<br />

KQCf&SGtg. TO. 8V TtKQO.Q'SGSL<br />

I, 2, 4.<br />

ccQCCAflG&ai part. I, 8, 2;<br />

19, 19.<br />

aQav.olovQ'Siv I, 8, 6. scp*<br />

OGOV fiovltTKL tig<br />

IOV&SLV I, 18, 5.<br />

ItKQKKO-<br />

- T,Ct<br />

KQKnolovd-rj^KlI,24:,6; 27,3.<br />

TSQTtVK<br />

I, 19, ^<br />

TO [L8TQOV<br />

, 13,5. 7CKQK-<br />

II, 28, 1.<br />

TOO fig trjv Gvv&sGtv nccQK-<br />

Irjrp&svTi I, 16, 4.<br />

ccQcdsinziv I, 13, 3; 16, 4;<br />

18, 7; II, 11, 1. pass. I,<br />

16, 4; 18, 5; II, 22, 3; 23,3.<br />

nccu'ksmriov I, 18, 6.<br />

II, 17, 3.<br />

. Y.CLX LGTJV TCKQK-<br />

II, 23, 3.<br />

aQcclhrjkzniTtsSov II, 15, 1;<br />

definitur II, 16, 3.<br />

aQKUrjkog 11,6,2; 8,3; 23,3;<br />

24, 2. TtctQciklrjloL GTL%OL<br />

I, 10, 10; 19, 8. n.<br />

Gig II, 4,3. cet.<br />

II, 12, 4.


II, 4, 1; 18, 1.<br />

I, 2,4; 17,3.<br />

nctQan\.r}Gi(ag I, 10, 5;<br />

16,4; 21, 1; II, 10, 2; 15, 2.<br />

7tKQCC7tO^,KVlV I, 1, 3.<br />

II, 8, 2.<br />

II, 4, 3; 11, 4.<br />

I, 19, 6.<br />

II, 11, 4.<br />

nccQsivai. ndgsGTi I, 22, 4.<br />

fV TO) TtKQOVTL II, 18, 1.<br />

Tra^mgay*^^ H> 24, 11.<br />

7TG:


184<br />

negioSog I, 5, 2.<br />

TtSQLTtolflV. TO CpSQO^SVOV KCtl<br />

I, 3, 3.<br />

I, 3, 2.<br />

y.vY.ka>v TCSQLTCO-<br />

TtSQIGKOTtSlV I, 3, 5.<br />

nSQLGGCCQTLOg (cCQl&llOg) 1,8,3.<br />

definitur I, 10, 1. cet.<br />

TtSQlGGSVSlV II, 21, 6.<br />

7tQiGGog (-TTog) (uQi.Q'iiog) I,<br />

3, 1; 6,4 cet. definitur<br />

I, 7, 1<br />

diaiQfGtg<br />

seq.<br />

I, 11,<br />

nsQiTTOv<br />

1. ns-<br />

QiGGcag I, 9, 2.<br />

I, 22, 6.<br />

I, 14, 2.<br />

II, 6, 4; 16, 1.<br />

TtEQlGTQECpSLV. 7tfQlGTQ(p6[lS-<br />

VOV KCll 7tQtKVKA.OV[lVOvII,<br />

17, 7.<br />

cet.<br />

TO V KiVr\Gl, Y.UL<br />

tt I, 3, 2.<br />

]. dno Tcrjyfjg I, 11, 3.<br />

TO 7lJ]ltKQV I, 2, 5<br />

I, 7, 3.<br />

I, 15, l.<br />

I, 17, 3.<br />

TtiUTSLV. TO VTIO<br />

I, 23, 4.<br />

I, 16, 6; II, 24, 5.<br />

1,23, 8; II, 24,5; 27,<br />

7. pass. II, 13, 6; 14, 1;<br />

16, 2. snkKG&riGctv II, 28,4.<br />

nldrog II, 6, 4 diagr.; 15, 2;<br />

27, 7. xara TO niccrog I,<br />

10, 10. snl TO n^u-cog I,<br />

19, 11; II, 4, 3; 13, 1; 16,1.<br />

TtKarvvsiv. a.Qi%-^og innts-<br />

dcog nkctTvvoyiSvog II, 7, 3.<br />

Gcprjvsg (xvonoiatg nJ.cc-<br />

II, 16, 2.<br />

13, 2. - TtkcCTVTfQOV<br />

&QOVV II, 28, 1.<br />

II, 22, 1 ; 28, 6.<br />

INDEX.<br />

I, 2, 1; II, 18,4. *II, 2, 3;<br />

*II, 24, 6. vofji. I, 3, 5. -<br />

Ttoln. I, 3, 7; II, 24, 11.<br />

*II,24, 6.<br />

TlkaTcoviKr] tyv%oyovia II, 2,<br />

3. GWKvdyvwGig II, 24,<br />

II. - niUTOiVl'X.QV TL &CO-<br />

Qrj{ia II, 24, 6.<br />

nkeicov uide nolvg.<br />

nkkovK&iv. nltovaGKoa *II,<br />

6, 3 %<br />

Tr^fo^axtg rj Kna'E, I, 18, 1<br />

; 22,<br />

1; 23, 1 cet.<br />

nlsovf^ta I, 14, 2.<br />

nlfVQK II, 7, 4; 8, 2; 9,2; 10,<br />

2; 13, 3; 15, 2 cet.<br />

TT^tfo? I, 2, 4; 2, 5; 16, 2.<br />

Probl. 2; 3. ^rA. vov I, 7, 1.<br />

a>QiG[i~<br />

nl. KQTIOV,<br />

TCfQLTTOV Probl. 1.<br />

ulr\v I, 7, 4. Probl. 4. -<br />

A. ft py II, 17, 7.<br />

7rA7j9/j?. TO oiovsi nlriQfg TOV<br />

ovM.oyiG[iov IT, '28, 1.<br />

I, 18, 2.<br />

II, 6, 1, 15, 1.- definitur<br />

II, 17, 6; 29, 2.<br />

TtlovGiog. TO nlovGiov TOV<br />

71J.OVGICOTSQOV TlQOyBVSGTf-<br />

QOV I, 5, 1.<br />

noitiv I, 4, 2; 5, 3; 10, 9; 10,<br />

10; 16, 6; II, 2. 1; 6, 3; 12,<br />

2 cet. Probl. 1; 2; 3; 4.<br />

v II, 27, 7.<br />

Y.KTCX. TOV 7lOLY]TrjV<br />

('O[iriQOv} I, 14, 3.<br />

t^Ttxo'? II, 5, 3; 5, 5. *I,<br />

19,8.<br />

1, 19, 8; 22, 2.<br />

.I, 22,2; 23,3.<br />

Aoyog II, 19, 4. TK<br />

Trig ocviGorrjTog nominee sidrj<br />

I, 23, 6. TtoiKilarsQK<br />

t'cpodog I, 10, 6. 7ioiY.il(o<br />

TZQOV I, 19, 8; II, 28, 1.<br />

, 19, 4.<br />

I, 2, 4.


noiog. TO Ttoiov II, 21, 6 cet.<br />

noiOTrjg I, 1, 3. TT. loyov<br />

II, 24, 1. TtoLOTrjTL rav-<br />

TOV, TtoooTTiTi STfgov II, 20,<br />

3. KKTCC 7rOtOT7JTC:II,21,5.<br />

nolig. noltcov ovyxTiGfig I,<br />

3,7.<br />

TtoliTSLU (Hl(x.T(f>vog} I, 3, 7;<br />

11, 24, 11.<br />

II, 28, 1.<br />

I, 16, 4; II,<br />

6,3. (Probl. 1; 2; 3; 4.)<br />

pass. I, 8, 14; II, 15, 2; 17,<br />

8. cet. (Probl. 2 3; 4.)<br />

;/<br />

oUccnlcfGiSTtifjLfQrjg I, 17, 7;<br />

21, 3. 7t. o%Gig definitur<br />

I, 23, 1.<br />

OliluTllKGltTZllLOQiOg I, 17, 7;<br />

21, 3. 7t. o%Gig definitur<br />

I, 22, 1 .<br />

TtkaGiog I, 17, 7 cet.<br />

TC.OV fldog delinitur I,<br />

18, 1.<br />

Ttolvycovog aQL&ijiog II, 11,4;<br />

12, 1; clingr. 12,4; 13,6; 14,<br />

2; 18, 1 cet.<br />

TroA^iuyr/'g. KQIIOVLU nolvuiy(ov<br />

svcooig II, 19, 1.<br />

nol-vulKGid&iv I, 9, 4; 10, 8 ;<br />

10, 9; 16, 5; II, 17,4; 24,10.<br />

pass. I, 8, 14; 9,4; 16,7;<br />

II, 15, 4; -26, 2 cet.<br />

nolvnlKGiaoig II, 17, 7.<br />

7tol.V7t1.


186<br />

OOf<br />

ri, 22, 2.<br />

12.<br />

I, 19, 16.<br />

I, 13,<br />

I, 21, 2; 23, 8; II, 4,<br />

2 ; 9, 2. TtQopdGscog ra|ig<br />

II, 15, 1. n. VT%vog I,<br />

19, 8. n. i'Gr] I, 19, 18.<br />

INDEX.<br />

XUTCt TrjV . . TlQO^KGiV 1,20, TtQO&SKG&CCl.<br />

2 ; II, 19, 1. fiSTK xr\v a.v-<br />

2. cet.<br />

TK *I, 3, 5.<br />

QOfil@(xfl.V I, 16, 4. - K<br />

ju-6g xorra (jLOvccda TIQO^L<br />

gopsvos II, 7, 3. (of T<br />

hvycovoi ccQi&ijioi) TtQofti<br />

xrZ. II, 11, 1.<br />

*I, 20, 2.<br />

.<br />

yQCt{i(jL(XTLKOV<br />

I, 4,2. f} apt^TjTtx?} qpv-<br />

ffft TCQoysvfGTSQct I, 4, 2 ; 5,<br />

3. - 6%iGl


OV TtCiVfTUi TtQOKOTtTOV I, 2,<br />

5. ocv (KQi&iioi) STtmi-<br />

Scog SvGL SiaGTYHLCiGi TtQO-<br />

II, 17, 8. cet.<br />

Probl. 5.<br />

QOsk%&ri 11,6,7;<br />

18, 2. - STtlGTfjUKL 7tQOJ.-<br />

I, 4, 4. TtQOlSrd^ig<br />

I, 17, 8.<br />

IGK TtQofittGLg I, 23,<br />

I, 21, 3.<br />

tQLyoavinai nvQaiiidsg II,<br />

14, 1. 7tQQl%&LGCti [JiS-<br />

corrjrsg II, 27, 1. TO: TIQO-<br />

I, 23, 2. - 7T00-<br />

ISiojuarcc II, 27,<br />

6. cet. (*I, 3, 5.)^<br />

itQoloyo? (oppos. -ujroioyog)<br />

0*0? ttT*. I, 19, 2; 21, 3; II,<br />

21, 5; 23, 2; 24, 6; 25, 1.<br />

}<br />

TCQOiMTjv.rjg KQI&H. definitur H,<br />

17. 1 ; 18, 2. 77 rot; VTTO<br />

TCOV K'/.QCOV TCQO^l^y.OVS TS-<br />

TQCtycoviyir] TfKsvQcc II, 27, 7.<br />

TtQOVOlK I, 6, 1. XOfffUXT? 7t.<br />

II, 19, 1.<br />

TtQOTtlTlTSlV. OL 7CKQa7t2.1]GlOL<br />

rat iiyKSi TtQOTtSTtTCOHOTSS II,<br />

18, 2.<br />

7tQonodiG[i6s I, 5, 2.<br />

Trpogayopfvftv I, 1,1: II, 16,<br />

1. pass. II, 7, 3.<br />

TtQOSOCTCTSLV. 7lQOgtt7tTGQ-(a O~<br />

QOS II, 21, 4.<br />

* II, 5, 1.<br />

vri TGJ L'GCO 11,20, 1.<br />

sav (Jifiovcc ra viprj rco Tf-<br />

TQUycOVCp 7tQOCyEV7]T(XL II,<br />

17,6.<br />

3; 12, 5.<br />

V I, 21, 2.<br />

I, 16, 5.<br />

I. 19, 5; 20, 1; II, 8,<br />

INDEX. 187<br />

II, 12, 2.<br />

TCQogrjyogta I, 9, 3.<br />

wnog tj\v TCQogrjyogtav I,<br />

8, 6. at iynsLfjisvai Ttaoi<br />

TtQogrjyoQiat, I, 22, 7.<br />

TTQOgiJKtlV. TtQOgij'AGJV KOGllOq<br />

1,16,3; 23,4. TtQOgrj-novGK<br />

I, 23, 9. - TO<br />

1,2,3.<br />

TO:<br />

GV.[AU,(XTU I, 5, 2.<br />

Ta TtQogrjKOVTcc ju-s'pr; I, 14,<br />

3. Ta 3rpogrjxovTa 11,6,1.<br />

. 6 n. II, 9, 1. at<br />

roig TT.<br />

(JLEGOTTjTSg II, 28, 6.<br />

20, 1. - KCtTK SVOg<br />

&SGIV S7tLGCOQVSLV I, 16, 4.<br />

xTor fiovadog TtQog&SGLV<br />

II, 7, 3; 11, 1.<br />

poffXTaO'^at. ccgi&fiog XQLTOV<br />

QuxarqiM 7tQogxT(ou,Evog II,<br />

7, 3.<br />

5, 5. -- cov II, 20, 1. -<br />

6 G%ctTo<br />

4; 16, 5: 16, 7.<br />

6, 1.<br />

II, 26, 3<br />

II, 6, 1.<br />

vog II, 10, 3.<br />

II, 13, 1.<br />

II, 15, 2.<br />

. pass. II,<br />

. (tQiyonvoi) ngog-<br />

II, 12, 3.<br />

II, 8, 3 ; 9, 3.<br />

II, 8, 3.<br />

^1, 2; 24, 5.<br />

TO TT}? u&6dov<br />

TT. I, 16, 7. TCQogruyii<br />

Set TIVK t%?iv I, 23, 8.


188<br />

I, 3, 8; II, 2, 3.<br />

. 71QOSXL&SXCO<br />

Probl. 2. TTQOS&SLS II,<br />

27, 7 ; 21, 1. TTQOS^fS Probl.<br />

2. TIQOSXI&OLVXO II, 12, 3.<br />

7T0ogT# f'g I, 12, 2; 11,9,<br />

3; 12, 2. 7iQOs&Xov II,<br />

27, 7. nQOs&Lri *I, 13, 13.<br />

II, 6, 4.<br />

jr^o'ffcoTrov II, 24, 11.<br />

71QOX8LVSLV. TIQQXSIVCCVXOS 11vps<br />

I, 13, 11.<br />

TtQOTtQog I, 5, 3 cet. TTQO-<br />

XSQOV passim.<br />

yrjGctvrcov II, 6, I.<br />

xX%voloyrniivov I, 17, 1.<br />

sv rotg 7iQOxs%voloyri-<br />

&SLGLV SVQOfJiSV II, 4, 3.<br />

i. nQO&sir] 1, 13,13.<br />

- TtQOXE&SVXKS I, 13, 11. -<br />

O Probl. 4.<br />

7lQOV7tOLQ%lV<br />


cd Q- I, 11, 3.<br />

xca Q. I, 23, 6.<br />

KKl Q. II, 15, 1.<br />

QVGig, TK GCOfJiKTlV.CC 8V Si7]~<br />

VBKSt QVG8L SGTl I, 1, 3.<br />

Zayrjvsia II, 24, 11.<br />

5, 1.<br />

1. GttyrjviGd'rjvaL 11,6,2.<br />

- EGacprjviG&r] II, 29, 1.<br />

Gcccprjg didyvcoGig I, 3, 4.<br />

TOW Gcctpovg %ctgiv I, 5, 3.<br />

INDEX. 189<br />

Probl. 4.<br />

GKVTOTOfJiOg I, 1, 1.<br />

Gfju-KQOxrjg *I, 1, 3.<br />

Gocpia yvcoGig rrjg<br />

I, 1, 1. _G.<br />

sv Totg OVGIV<br />

r)g<br />

I,<br />

1, 2; 1,4; 2, 5; 3, 3.


190<br />

3. KCtTCl TOVg GTi%OVg II,<br />

12, 8. cet.<br />

Oi^slov II, 1, 1. Probl. 4.<br />

- TK TEGGKQK TOV KOGflOV<br />

GTOL%LCC II, 1,1. T? IGO-<br />

TTjg GT. TOV TtQOg tl TtOGOV<br />

II, 2, 2. TO TQtycovov GT.<br />

TCOV II, 7, 4. . . nohvycovcov<br />

II, 12, 8.<br />

GTOi%iG>8rig. aQ%r] nccGcc GT.<br />

I, 11, 3. - GTOl%SL(oSsGTSga<br />

TO. TQiyatvK 11,14,4. GTOL-<br />

%icodGTUtog Aoyog II, 26,<br />

1 ; 29, 4. GTOL%La>dGT(x.-<br />

TOV G%rj(J,ci TO TQiyavov II,<br />

7, 4; 8, 1.<br />

GTOi%r\S6v sY.TiQ'svKi II, 8, 3;<br />

9, 3; 11, 1; 14, 1. GT. f'x-<br />

KSIG&UL II, 10, 2.<br />

I, 14, 3.<br />

I, 3, 7.<br />

GTQCCTOS *I, 2, 4.<br />

dvyyfv^'ff. TSTQccycovos TUVTO-<br />

TTJTL G. II, 20, 3. Gvyys-<br />

VSGTSQCC I, 3, 6.<br />

II, 28, 6.<br />

K II, 14, 5.<br />

nulaitov<br />

. pass. 11,18,5.<br />

I, 22, 2 ; 22, 6.<br />

GVfircccg sv. (JLOVKdo$<br />

xcd dvctdos GvynsiTat,<br />

II, 18, 5. noGOTrjTOs %vp


Probl. 1. Tfi<br />

II, 6, 1.<br />

GV^7t8QCCG(lCC II, 14, 5; 17, 7.<br />

ovo^iccra I, 22, 2.<br />

15, 2.<br />

G%fi6ig I, 21, 3.<br />

II, 22, TO<br />

1^<br />

TO OAOV I,<br />

GvpitkrlQcoGig TOV okov I, 15, 1.<br />

GVflTtQOLfVCCL *I, 23, 3.<br />

fut. I, 19, 12.<br />

lectio pro GV{icpQ6v7]Gig *II,<br />

19, 1.<br />

GVficpQOvrjGig oY#a cpgovsovtnv<br />

II, 19, 1.<br />

GV(lCp(OVtV. GV^CpCQViqGSl tfOtl,<br />

10, 9; 19,<br />

2.^<br />

Oil<br />

GV(l(f)G)ViK. (lOVGLKal GV{1-<br />

I, 5, 1. at sv 0:9-<br />


192<br />

cet.<br />

VSVOVGKi II, 13, 3.<br />

cvvolog. TtVQttfjilg<br />

14, 3.<br />

ai II, 5, 3.<br />

11,11,2; 18,1.<br />

a II, 14,3.<br />

sv GVV-<br />

INDEX.<br />

II,<br />

GvvTCt^Lg. sv rr\ GVVTCC^SL II,<br />

28, 7.<br />

GVVT81VSIV. TO fig TK CpVGiKK<br />

GWTfivov &scoQr](jia I, 23, 6.<br />

Gvvtfltiv *I, 16, 2. pass. I,<br />

2, 3; 8, 14; II, 8, 3; 19, 1;<br />

1.<br />

20^,<br />

CpOQCOg<br />

27,<br />

lLGOT7]TSg SlCi-<br />

GVVTkQV[LV(X.l II,<br />

1<br />

GvvTiQ'svui. GWTi&rjGi Probl.<br />

5. avvri&stg Probl. 3.<br />

cvv&sig Probl. 5. Gvvn-<br />

#>?voe I, 20, 2; II, 5, 3; 8,<br />

3. Probl. 2; 4. cvvrs-<br />

&lllVOg I, 8, 12. GVVTffteigl,<br />

8,1; 11, 3; 14,4; 15,<br />

1; 16, 1; II, 6,3; 8,3; 12, 2;<br />

20, 5; 27,5. Probl. 1.<br />

cet,<br />

GVVTQSIS I, 8, 13.<br />

GVVtQOfpOg. TK J\\JilV GVVTQOCpK<br />

I, 3, 6.<br />

Gvvvtpcci'vsiv. pass. I, 10, 6.<br />

ovvvcpiGTUGQ-ai I, 20, 3; 21, 3.<br />

*I, 10, 6.<br />

I, 17, 5.<br />

ttQl&[lol GVVS-<br />

, 10,2. GVG-<br />

GCOQSVOflSVOL 71SQIGGOL II, 18,<br />

I. TCOlvyiOVOl GVGGCOQSVftsvrfg<br />

II, 14, 2. . . KQTLOL<br />

II, 19, 1.<br />

GVGTKGig KQflOViKg I, 3, 5. -<br />

T(OV TSlfLOOV G. I, 8, 13. -<br />

(7. T?7S SVKQ&QOV CpCOVTJg II,<br />

1,1. l7] I, 3,<br />

2; 3, 7; 5, 2. TTSQL rag<br />

GCpULQlKKg I, 3, 4. GCpttlptxog<br />

apt^o'g II, 6, 1; 15,<br />

1; definitur II, 17,7. Gcp.<br />

1.<br />

(XQ, II, 17,8. - GqpOTtrj<br />

fjiovag II, 17, 7.<br />

Qr]aKTa 11,21,<br />

II, 16, 2.<br />

II, 16, 2.<br />

$ II, 6, 1; 15, 1 ; definitur<br />

16,2; 17,6. (Gtprjvi-<br />

V.MV falsa lect. *II, 6, l^cet.)<br />

o ra>v GcprjKcov oynog<br />

II, 16, 2.<br />

QayiGxriQ I, 23, 4.<br />

(7ig I, 1, 3; 3, 1; 19, 16; II,<br />

6, 3; 21, 2. G%. TtQog STS-<br />

QOV I, 3, 1. G%. nod KVKioyi'a<br />

II, 2,1. G. T^g dvi~<br />

I, 14, 2. ff. rrjg<br />

I, 17.4. at ^g'xa<br />

!. G%GSI.<br />

II, 9, 1.


II, 8, 1; 8,3.<br />

pass. II, 10, 1; 10, 2.<br />

II, 17, 1.<br />

f<br />

G%rj[ictToyQacpL a II, 6, 2; 8, 1;<br />

10, 2; 12, 1. ininsdog G%.<br />

11, 13, 1; 15, 2.<br />

pass. I, 17, 6.<br />

vliov *I, 9, 4.<br />

o^iv Ao'yoi/ II, 5, 2; 5, 4; 28,<br />

3. avaAoyfov H,/29, 2. -<br />

pass. Kvuloyia GCO&TCCI II,<br />

6, 3. 1.<br />

Adyog 11,22, 3: 23.<br />

tdimpa II, 24, 4. -<br />

a II, 27,3.<br />

I, 3, 8.<br />

I, 3, 7.<br />

, 1, 3; 1, 4; II, 6, 4.<br />

TO vnonsiyisvov G. I, 1, 3.<br />

K7l2.CC GCO^ICCTCC II, 1 , 1. -<br />

ccQ%r] rov oco^ccTog II, 7, 2.<br />

tfOOfiaTtXOg. T(i GCOflCXTiyiK I,<br />

1, 3; 3, 6. -- a. apparel I,<br />

3, 8.<br />


194<br />

^Tti&stvat II, 21, 1.<br />

*I, 23, 17 u>. 72 .<br />

zuviv. 8i%u r[ic6v II, 27, 7.<br />

ftj CCVLGK dvO TUVOHvos<br />

I, 7, 3. sfe tfvo IGK<br />

TH,r\&j]vui dwapfvog 1,7,4;<br />

*I, 8, 4. TfirjTOV iiQog<br />

I, 10, 4.<br />

TSeavos I, 19, 8; 19, 20.<br />

xGGUQg. 7} SLK XEGGKQOV I,<br />

INDEX.<br />

I, 5,3. 77<br />

xarcdylT^ta I, 20, 2.<br />

T7}d nri II, 28, 6.<br />

TY1QSLV II, 17, 4.<br />

rifo'vai. n'^ft II, 2, 1. tt-<br />

&VTg I, 20, 2. ^-(ofjisv I,<br />

8, 10; II, 19, 4. #t>ca<br />

Probl. 6. Ti&[isv(ov II,<br />

24, 5. TS&tvcog Probl. 1.<br />

TJUCOV frstisvmv I, 19, 8;<br />

5, 1. 6 diK T. Ao'yoj II,<br />

26, 1.<br />

TSTpayomxo'g. -7} nksvQK II,<br />

27, 7. TSTQccyaviKoog fit-<br />

II, 13,<br />

Ttpaiog uide FLA.KTCOV.<br />

4. II, 17, 2.<br />

I, 5, 3.<br />

Tt'utog. (77 a<br />

II, ysvfffTf'pa xat<br />

17, 1.<br />

TTQaycovLGuog II, 9, 1; 13, 2.<br />

rsToayoovo? apitfyids 1, 19, 19;<br />

II, 7, 3; definitur II, 9, 1;<br />

11, 1; 12, 1^ 17, 6; 18, 1 cet.<br />

TO Tsrgccycovov I, 4, 4.<br />

*I, 3, 1. T. a%rj[Ji


INDEX.<br />

>LHtti nVQK-<br />

I, 3, 5.<br />

I, 14, 2.<br />

II, 14, 1.<br />

T.giycoviG(i6g<br />

slg TQiycaviGiiov II, 8, 1.<br />

fJLLOVQi^G^KL HUTU T. II,<br />

13, 2.<br />

TQiyOOVlGTl G%Y][JiCtTllV 11,8,3.<br />

rgtycovog ctQi&iiog II, 7, 3 5 de- vying *II, 6, 6.<br />

linitur II 8, 1; ; 11, 1 ; 12, 1 vSmQ II, 1, 1.<br />

9; II, 13, G.<br />

- -<br />

Probl. 5.<br />

TrTaV. TUTTTCOV tt(<br />

[isvog I, 17, 6.<br />

cet. TO TQiyoovov I, 4, 4; mog I, 17, 6.<br />

II, 7, 4; 12, 1 cet.<br />

rgiv.o'kovQQg II, 14, 5.<br />

TQiodeiv. JL<br />

I, 19, 17.<br />

TQiTthaGidfctv. pass. I, 21, 1.<br />

Probl. 4.<br />

TQl7tl(XGl7tl$lllQrig * I, 23, 3.<br />

TQL7lA.aGLltiTllL7tTOg I, 22, 2.<br />

3.<br />

I, 22, 2.<br />

[, 23,<br />

*I, 23. 3.<br />

I, 22, 2.<br />

I, 22, 2.<br />

I, 4, 4; 5, 1; 18, 1<br />

cet. (-cog *II, 4, 2.)<br />

II, 5, 5.<br />

(rQiGTt%og * ibid.)<br />

VQL%rj passim; ti.<br />

I, 23, 16.<br />

I, 23, 14.<br />

rpo'TTOg 1,3,5; 9/2; 10,6; 11,4,<br />

3; 12,7; 17,3; 21 ; 1.<br />

rg.jial<br />

T07TO?II,6, 3. - fTf'pCO TQOTtGJ<br />

I, 7, 4. wdsvi r. I, 9,2.<br />

TW orvrw r. II, 2, 2.<br />

xara TQOTTOV uav&dvsiv I,<br />

3, 5. cet.<br />

uvlov II, 27, 1.<br />

c. gen. I, 4, 2; 5,2;<br />

23, 4; II, 22, 4; 28, 2. c.<br />

part. II, 3, 1; 7, 4.<br />

195<br />

i TV%OI<br />

I, '2.<br />

1,3; ^4, f<br />

TK v\Lv.d I, 1, 3; 3, 6.<br />

TQioSovuivri vnaycoysvg xogdyg II, 27, 1.<br />

vnanovsiv II, 21, 6; 23, 3.<br />

pass. I, 21, 2.<br />

v7t(*Q%iv I, 1,3; 4, 2; 9,2 cet.<br />

-<br />

part. I, 4, 3; 6,2; 16, 1;<br />

16, 4; 18, 2 cet. ?<br />

VTCKQ^YI. nctiiv It, vnKQ%i]g<br />

I, 22, (<br />

6.<br />

V7tVUVTlOg. VTTEVKVTlCi KVCChoyia<br />

((UfaoT/yg) II, 22, 1;<br />

22, 3; 23, 6; 28, 3. ovdsv<br />

II, 5, 5. 18~<br />

vn. II, 25, 2. vnf-<br />

II, 25, 3.<br />

II, 28 ; 5.<br />

V7lVaVTLO)Gig. V.K&' VTCfVCiVricoGiv<br />

II, 28, 2.<br />

v7i^cciQLv pass. II, 22, 3.<br />

, 14,3. VTt7tiijiQrjg I, 17, 8; 19, 20;<br />

20, 3.<br />

I, 17, 8; 19, 20.<br />

*I, 19. 2.<br />

I, 19, 2; 19, 5.<br />

VTtfQKVCQ I, 22, 6.<br />

V7tQ$cttviv t I, 9, 5; 13, 3;<br />

14, 3. VTtQ^f^rj'iiOTg II,<br />

18, 2. v7tQtpr]Gctv II,<br />

27, 6.<br />

vnfQfidUfiv 1,16, 1: 16,2. *I,<br />

14, 3. pass. I, 16, 2.<br />

VTtfQpcckkovTcog II, 17, 6.<br />

vitfQfioJiij I, 14, 2.<br />

I, 5, 2; 9, 3; 19, 17. vnsQSy.nin'ttiv I, 19, 14.<br />

1, 9, 3;<br />

cos f'rv%sv I, 13, 3; 23,<br />

II, 6, 7; 22, 1. v7tQKnr(OGt.g I, 14, 2.<br />

tQ%SLV I, 9, 5; 17, 3; 23,<br />

14; II, 10, 2; 21, 5; 25, 1.<br />

13*


196<br />

INDEX.<br />

I'GOJ vnsQz%ov- vnolBinfiv pass. 1,6,3. Probl.6.<br />

II, 27, drjiicodrjg I, 7, 3.<br />

vnokoyog (oppos. Trpo'Aoyog) I,<br />

19, 2; 21,3; II, 21, 5; 23, 2;<br />

24, 6; 25, 1.<br />

nokoinos. xa, vnoloinu II,<br />

6, 1.<br />

GOC XtU<br />

1; 29, 2.<br />

vnsQv.stGQ'Ki part. I, 8, 10; II,<br />

12 5 '<br />

<<br />

',<br />

vnQO%ri II, 27, 7; 28, 3. -<br />

Probl. 3. V.UTK . . . vnecj-<br />

II, 10, 3 ; 27, 4.<br />

.dpog I, 14, 1;<br />

14, 3; 16, 3.<br />

vntQCpsQtiv I, 9, 4; II, 27, 3.<br />

I, 8, 4.<br />

II. 28, 6.<br />

I, 23, 13; II, 12, 4.<br />

oninzst<br />

onolA.u<br />

8; 21, 3.<br />

vno. vno r\ ngo&sGtg I, 17, 8; vnoninrsiv I, 8, 8; 13, 7.<br />

19, 5; 19,<br />

20^; 21, 3; 22, 7;<br />

23,<br />

vnonoUccnlciGLfniLiSQ^g I, 17,<br />

nonoMu<br />

8; 21, 3.<br />

1. TO vno TCOV KKQCOV<br />

I, 8, 14; II, 23, 6; 24, 4; 27,<br />

3; 29, 2. TO vno TCOV (is-<br />

Gcovl 8, 14; II, 24,4; 29,2.<br />

{ t<br />

TO vno TCOV SiarpOQcov<br />

II, 23, 6. TO vno I, 9, 6;<br />

2; 19,<br />

I, 17, 8; 18,<br />

10, 10; 19,<br />

s 17; II, 19, 4.<br />

(uide a.no.}<br />

20.<br />

I,<br />

*<br />

1, 3.<br />

I, 9, 2.<br />

GXI%OI I, 19, 14.<br />

Pffirjucog OQog 1,1,<br />

6<br />

24,<br />

vno-<br />

1. -<br />

II, 20, 2.<br />

v II, 27, 6.<br />

vnoyQctcpsiv.<br />

SiGTi vnoyQttcpsig II, 8, 3.<br />

vnodsiynu. I, 19, 4; 22, 3;<br />

23, 13; II, 4, 1; 8, 1; 11, 1;<br />

25, 1; 29, 3. Probl. 5. -<br />

vnodsiyfiutos %KQLV I, 8, 5 ;<br />

8, 13;_10, 9; II, 24, 2<br />

v. 1, 8, 9.<br />

. pass. II, 21, 2.<br />

vnoTSivovrsg ol<br />

SiKycovioi II, 4, 3.<br />

vnoTETQCxnlttGiog I, 18, 3.<br />

VnOll&SVKl. V7tOTL%VTCCl II,<br />

8,3. vno&co[jie&a I, 20, 2.<br />

vnoTQinlK6iogI,lS,3; 11,27,6.<br />

vGTsgoysvijg. vGTSQoyfvsGrs-<br />

Qog I, 4, 3.<br />

I, 16, 4; II, 24, 5.<br />

*I, 16, 4.<br />

falsa lectio pro<br />

*II, 14, 4.<br />

VCpKlQSLV *I, 13, 11.<br />

iv vno- vffJi^io'iLog I, 19, 2.<br />

*I, 16, 4. VCplGTKVKl. VffiGTKTCil I, 10,<br />

vnodsLv.vv8LV I, 22, 6.<br />

ibid. vnsdni^Kufv<br />

fut.<br />

*II,<br />

6. vnsGTrjGKLisd'K I, 5,3.<br />

'


, 2, 1;2, 3; 4, 2; II, 7,<br />

3 cet. Probl. 4.<br />

CpKVEQOS II, 28, 3.<br />

cpavTu&G&ai II, 13,^2; 25,5.<br />

cpccGig. nuvTOiKi cpccGSig I, 5,<br />

2. (qpavafig * ibid.)<br />

cpigsiv. tpiqs ovv I, 23, 6.<br />

TO CpSQOflSVOV I, 3, 2.<br />

ytat) ov Tmvv cpgo-<br />

II, 28, 1.<br />

II, 1, 1.<br />

a I, 2, 1.<br />

a *II, 19, 1.<br />

II, 6, 1.<br />

II, 19, 1.<br />

II, 20, 3.<br />

qpi/U'a Gocpia? I, 1, 1.<br />

fcadaaos II, 18, 4; 26, 2.<br />

qptlos I, 17, 5.<br />

I, 3, 3.<br />

tct I, 1,1; 2, 3; 3, 5.<br />

I, 3, 5.<br />

I, 19, 20.<br />

a TCOV aGtQcov I, 3, 5.<br />

. (pQC(G&"r]GO[lSV03V II,<br />

6, 2. tpQKG&siG'T] II, 26,<br />

1.<br />

TrfqppaffiasW^II, 28, 2.<br />

CpQOVSSLV I, 3, 4. (KQflOVLCf)<br />

11,19, 1.<br />

(fVLV. CpVGOVGlV II, 3, 2.<br />

TtsyvKS I, 2, 1. *I, 17,7. -<br />

CpVSTCCL II, 5, 4.<br />

cpvlcttTSiv, qpv^a|at Probl. 5.<br />

qpvtfittOff KQi&fios I, 19, 10; II,<br />

8, 3; 9, 2. 93. vopogl, 23,<br />

8. qp. GTL%O. ap;p} ^ ^oW?<br />

I, 8, 2. a: I, 18, 4; 19,<br />

INDEX. 197<br />

6. roc. cpvGLHa I, 23, 6.<br />

cpvGiKws I, 19, 4; 19, 8.<br />

qpvfftoAoystV II, 18. 1. pass.<br />

II, 1, 1.<br />

cpvGioloyicc T(ov olcw I, 23, 4.<br />

II, 21, 1; 29, 1.<br />


198<br />

INDEX.<br />

_,_... noGoxrixog I, 7, 1. -<br />

I, 3, 8. TO rrjs i/>. Aoyt-<br />

%. yvGinov I, 18, 4; 19, 4; Y.OV 1,23,4.<br />

11,11,2. *II, 8, 3. *II, ipvxoyovi'a IIlaTcavixr] II, 2, 3. .<br />

, ,<br />

10, 3. #. aeitf-^TtxoV II,<br />

TO avro SCCVTCO IGOV<br />

stvoci wl. *II, 23, 5,'<br />

10, 2. ^<br />

j;a)pa. ?J T^g<br />

GLUGIS 1, 13, 6. v A~^<br />

11, 4, 2. v TtfQiGGocis %CQ-<br />

II, 20, 5.<br />

*I, 13, 6.<br />

1,13,2; II 6, 3.<br />

I, 3, 6.<br />

II, 25, 2.<br />

II, 6,<br />

1 .<br />

I, 4, 2; 5,3; 10, 1; 11,<br />

3 cet.<br />

I, 1, 2; 2, 1 cet.<br />

passim.


II. CATALOGUS AUCTORUM.<br />

(i<br />

- index: test. testimonia; u. 1. uaria lectio.)<br />

Androcydes i.<br />

Anthologia Palat. u. 1.<br />

10.<br />

II, 24,<br />

Aristoteles<br />

Archytas<br />

i.<br />

i.<br />

Boethius, test, et u. 1. passim.<br />

Diogenes Cynicus i.<br />

Draco Stratoniceus u. 1. 1,7,1.<br />

Eratosthenes i.<br />

Euclides u. 1. I, 7, 2; 8, 4; II,<br />

6,1; 7, 4; 20, 2.<br />

Gerasenus i.<br />

Hesiodus u.<br />

Homerus i.<br />

1. I, 15, 1.<br />

lamblichus test. etu. 1. passim,<br />

loannes Pediasimus test. II,<br />

7 et 8.<br />

loannes Philoponus test, et u.<br />

1. passim.<br />

Isaac i.<br />

Leo Imperator i.<br />

Nicomachus i.<br />

Plato i.<br />

Philolaus i.<br />

Psellus u. 1. I, 13, 3.<br />

Pythagoras et Pythagorei i.<br />

Scholia cod. C. test. II, 26 et<br />

27. u. 1. II, 27, 1.<br />

Scholia codd.A/T test, libri I<br />

passim.<br />

Socrates i.<br />

Soterichus test, et u. 1. II, 2.<br />

Stobaeus u. 1. II, 18, 4.<br />

Theo Smyrnaeus test, passim.<br />

Theodoras Protocensor test.<br />

I, 23.<br />

Timaeus i.


THEOOTS SMYRNAEI<br />

PHILOSOPHI PLATONICI<br />

EXPOSITIO RERUM MATHEMATIC ARUM<br />

AD LEGENDUM PLATONEM UTILIUM.<br />

RECENSUIT<br />

EDUARDUS HILLER.<br />

LIPSIAE,<br />

IN AEDIBUS B. G. TEUBNERI.<br />

MDCCCLXXVIII.


LIPSIAE : TYPIS B. G. TEUBNERI.


FRIDERICO HULTSCHIO<br />

S.


PRAEFATIO.<br />

Theonis Smyrnaei cominentarius de rebus mathe-<br />

maticis ad legendum Platonem utilibus in duas partes<br />

discerptus ad nostram aetatem pervenit; quarum prior<br />

(p. 1 119) exstat in codice Veneto bibliothecae Marcianae<br />

307 (A), posterior (p. 120205) in eiusdem<br />

bibliothecae codice 303 (B). Hos libros Bonnae excussi,<br />

quo transmissi mini erant intercedente Ottone<br />

lahnio praeceptore humanissimo; postea multos locos<br />

Venetiis iterum inspexi.<br />

Codex A niembranaceus, saeculi XL vel XII.,<br />

formae quadratae, praeter Theonis partem priorem<br />

nihil continet. Librarius in iis quae ad prosodiam<br />

pertinent multos commisit errores; veluti saepe scri-<br />

psit, ut pauca adferam, vv\xr\ oydoog TSTgaxrvs iGog<br />

dvadog psrapaGa. Praepositiones saepe carent accen-<br />

tibus. Ubi pronominis reflexivi forma requiritur, aut<br />

avTov positum est aut avrov, nunquam nisi fallor<br />

CIVTOV. Promiscue legitur alei et asi. i nunquam<br />

subscribitur ; interdum adscribitur. Numeri fere sem-<br />

per<br />

rubro colore facti sunt.<br />

Quae librarius ille in prosodia peccavit, ea plerumque,<br />

non ubique, correxit alia manus (A 2<br />

), quae<br />

etiam Idea pro etdstx, telmia pro M^fia ac similia recte<br />

restiffcit. Graviora quoque nonnulla ab eadem manu<br />

mutata inveniuntur. Neque vero eae scripturae ex


VI PRAEFATIO.<br />

alio codice repetendae sunt: nam omnes ita sunt comparatae,<br />

ut facile<br />

veniri potuerint.<br />

coniectura sive vera sive falsa in-<br />

Ceterum cum etiam is qui codicem<br />

exaravit multa correxerit et in rasura scripserit, compluribus<br />

locis non potest accurate cognosci, utrum ad<br />

illam an ad alteram manum mutatio sit referenda.<br />

De codice B cf. quae disputavi in Philologi vol.<br />

XXXI. p. 172 sqq. Chartaceus est, forma maxima,<br />

saeculo XIV. vel XY. scriptus. Continet inde a fol.<br />

9a 16 b operis huius parteni alteram cum figuris ne-<br />

glegentissime factis.<br />

Inscriptions capitum quas A et B praebent tantopere<br />

discrepant ab indicandi argurnenti recta ratione<br />

tamque inepte nonnunquam positae sunt, ut ipsius<br />

scriptoris quamvis mediocri ingenio tribui non possint.<br />

Itaque non in verborum contextu sed in adnotatione<br />

critica locum iis adsignandum esse censui.<br />

Cf. Martin, Theo de astr p. 36.<br />

Ex codicibus A et B ducti sunt<br />

ego<br />

omnes quorum<br />

notitiam habeo libri manu scripti in quibus tot a<br />

exstat aut prior pars aut posterior; quod ita se habere<br />

certis argunientis alio loco mox comprobabo.<br />

Adliibitis exemplaribus ex A aut B derivatis priorem<br />

parteni edidit Sidlialdus (Lut. Par. 1644), posteriorem<br />

Martinus (ib. 1849) - - versus Alexandri (p. 139 sqq.),<br />

quos ex apographo codicis B descripserat<br />

sius, iam antea saepius typis expressi erant,<br />

Isaac Vos-<br />

cf. adn.<br />

ad p. 139 , denique primam particulam (p. 1 46,<br />

19) de Gelder (Lugd. Bat. 1827). Mini codices huius<br />

generis iis potissimum locis commemorandi fuerunt,<br />

ubi antiquae scripturae errores correctos exhibent.<br />

Variorum signorum multitudine ne adnotatio prorsus<br />

inutiliter oneraretur, ex horum librorum numero eos<br />

in quibus einendatae lectiones inveniuntur singillatim<br />

indicare nolui, sed communi apographorum appell^lione<br />

codices ex A vel B oriundos significavi.


PRAEFATIO. VII<br />

Earn autem particulani hums libri quae legitur<br />

p. 46, 20 57, 6 (rov Ttvsv^iaros) separatim excerptam<br />

complures codices praebent, in quorum archetypum<br />

transscripta esse videtur ex libro ab A diverso. Huius<br />

generis exemplaria sunt codex Venetus Marcianus 512<br />

saeculi XIII. vel XIV., Riccardianus K 2, 2, 41 saec.<br />

XV., Neapolitanus 260 sive III C 2 saec. XV. vel XVL,<br />

Vaticanus 221 saec. XVL, Vaticanus Urbinas 77 saec.<br />

XVL, Barberinianus II 86 saec. XVL Fragmentum<br />

Theonis ex Marciano in usum meum insigni comitate<br />

descripsit Hermannus Diels; ex Neapolitano nonnulla<br />

mihi notaverunt Fridericus de Duhn et Ge<strong>org</strong>ius Kaibel;<br />

ceteros ipse cum editione Bullialdi contuli. Ex eodem<br />

genere is codex fuit quo Manuel Bryennius usus est:<br />

cf. eius Harmon, p. 393 sqq. His igitur libris inter se<br />

comparatis quid in eorum arehetypo (Z) scripturn fuerit<br />

facile cognosci potest.<br />

Ad emendandos versus Alexandri praeter codiceru<br />

Marcianurn B adhibui eiusdem bibliothecae codicem<br />

203 (C) chartaceum saeculi XIII. , in cuius ultimo folio<br />

(230) poema illud exstat praescripto titulo '4Ae%dvdQov<br />

Alxakov 7tQi TK>V 7t&av7]TG)v. Librarius eo exemplari<br />

usus esse videtur ex quo B descriptus est.<br />

Conapluribus locis ad restituenda Theonis verba<br />

utilitatem praebet Chakidii in Platonis Timaeum commentarius,<br />

propterea quod uterque scriptor Adrasti<br />

Peripatetic! commentarium in usum suum convertit<br />

partesque eius haud exiguas accurate expressit: cf.<br />

Rhein. Mus. XXVI p. 582 sqq.<br />

Lacunarum quarum signa in contextu verborum<br />

posui vestigia in codicibus iis tantum locis exstant,<br />

ubi id diserte a me indicatum est. Uncis obliquis <br />

ea inclusi quae traditae lectioni addenda, quadratis<br />

[ ] ea quae delenda esse mihi videntur. Ad significandas<br />

eas prioris manus cod. A scripturas quae ab A 2<br />

mutatae sunt nota A 1<br />

usus sum. Asteriscum * appo-


VIII PRAEFATIO.<br />

sui scripturis libri B a Martino correctis. Omnibus<br />

vero iis locis, quibus emendationis sive in adnotatione<br />

propositae sive in verborum ordinem receptae auctorein<br />

vel fontem non indicavi sunt autem fere<br />

CCCCL , emendationem a me coniectura esse inventam<br />

sciendurn est. Ceterum in mutanda tradita<br />

lectione caute erat progrediendum; multa enim quae<br />

perverse vel neglegenter dicta esse apparet quin ipsius<br />

Theonis inscitiae levitatique tribuenda sint dubitari<br />

nequit. Praecipue loci Platonici in praefationem re-<br />

cepti (p. 2 14) reliquas operis partes tantopere superant<br />

vitiorum multitudine ac foeditate, ut ea omnia<br />

ad librariorum errores referenda esse prorsus sit in-<br />

credibile. In his igitur quia accurate diiudicari nullo<br />

modo potest, quid librarii peccaverint, quid Theo, denique<br />

quid iarn in Platonis exemplaribus a Theone adhibitis<br />

corrupte scriptum fuerit, errores intactos relin-<br />

quere quam facili atque inutili negotio genuina Platonis<br />

verba hie illic restituere malui. Notas codicuni Reipublicae<br />

ex Schneideri, Epinoniidis ex Bekkeri editione<br />

mutuatus sum.<br />

Reliquum est ut gratias again quam maximas<br />

Friderico Hiiltschio viro clarissimo, qui accuratissime<br />

perlectis his plagulis complures emendationes aut certas<br />

aut probabiles quarum in addendis mentionem feci<br />

(cf. etiam adn. ad p. 15, 17. 22, 17. 25, 20) mecum<br />

communicavit.<br />

Scr. Halae mense Octobri a. 1878.


THEO SMYRNAEUS.


On yilv QVI olov re Gvvsivai t&v<br />

TCKQK IlkKtcavi [irj nccl avrbv rjtixriiisvov Iv<br />

rrj frscdQiK ravrri, nag ccv nov oiio&oyTJGsiev' cSg 8s<br />

ovds ra aMa av&yehrjs ovSe av6vriTO$ rj nsgl ravra<br />

tpTceigCa, dice xoMav avrbg Eyupavi&iv HOIKS, to [isv 5<br />

ovv Gv[i7id6r}s yE&pstQiag teal Gv\LTta,6vis<br />

^TCSLQOV yevopevov rot$<br />

ivrvy%aviv paKaQiGTov plv eu tcp yevoiro,<br />

ov ^v svTtogov ovds $adiov alKa navv ;ro/Uo> rov<br />

K TtaCd&v TCOVOV dsopsvov. &GTS ds rovs dLr^iaQX^o- 10<br />

rag xov iv roig [ictftrjiiaGiv KGKrj&rivcci, og^yo^iBvovg ds<br />

yvG}6G)s ray (jvy^QK^citcsv avrov fii] navraxaGiv<br />

Tto&ovGi, diayiccQreiv.) xscpccAcuadr] xal Ovvro^iov<br />

a TG>V avcfyxcciav KKI cav del iiKfaGtcc toi$<br />

IA.dtG)vi, [ia&ri[iaTi,XG)v &G)Qr][idTG)v naga- 15<br />

dotfiv, KQi&iiri'tM&v t Kttl [lovGixcov noil<br />

rs XCCTK 6tQoyirQiKV xccl ctG-CQOvopiav ) av<br />

Inscr. &SCOVOQ 2[ivQVKLOv TL^a.rcoviv.ov rtov tiara TO<br />

(ro supra vs.) iicc&7]iJ,KriKbv xgyGipcov sig tfjv nidrcovos<br />

dvciyvfoGiv A 1 inscr. oxi avocyKaiK roc iia&ri[iccra A<br />

2 rjtfH^fieVov: ov corr. ex tov A 4 ovds ra &.] OVTS ret cc, A<br />

5 TO corr. ex rbv A 6 ysco^erQLCcg: nctl a^^a^TfK^g add.<br />

recentior manus in apogr. fort, recte 10 GKOTTOS rov /[iifiMov<br />

mg. A<br />

Theo Smyrn. 1


DE UTILITATE<br />

ov% olov re dvaC V xe' Tcav oi<br />

XQi&VTS Ti^ldg T TGJV CcMtoV ^l^OVS QiGOVTKl) TO,<br />

3 'EQaroG&evri?: Bernliardy Eratosthenica p. 168. cf. Phi-<br />

lol. XXX p. 67 12 athyoQrjKociv A, em. apogr. 15 Epin.<br />

p. 992 A ov yccg uvsv ys (ys om. Nicom. introd. arithm. I 3, 5)<br />

TOVTCOV iiqTtors ng sv 7to\GLV svdttipcov (evduifjiovcov codd. duo,<br />

fvdctiiiovcov unus) ysvrjTKi qovatg, H J<br />

ovrog o rgonog^ KVTT]<br />

(ri add. Ast) rpoqpTf, ravra rcc /Lta^^ara, sirs %cdeita zfas (patfta,<br />

ravrrj noQEvrsov (treov Nicom.) K[ieJiiiGv A 17 cpvg A, turn duae litt. erasae<br />

20 Epin. p. 992 B 22 Civ. VII p. 537 B xe] si'voav<br />

Plato, cf. Schneider 23 eftovs trcov &U.mv Plato


v<br />

JITOV de<br />

MATHEMATICAE.<br />

itaGiv iv xrj itaidsia ysvo^isva tovtois<br />

tivvamlov sis Gvvvfyw ofasiorrjtos rs dMfacov rcov<br />

TCKVV<br />

xal<br />

IK<br />

rots<br />

nal tvs rov ovtos (pvGs&s- xctQawsZ is<br />

sGd-ai aptfl-pfTtx?^, siteira ysa-<br />

de GxBQeo^BxgiKg^ TSTKQTOV Ktirgovo- 5<br />

elvai d-ecogtav (pSQO^vov Grsgeov, itlp-<br />

TO re zgytiipov TtaQadeinvvs tcov<br />

v qdvg si, QTL soixas dfdtfVa^, prj<br />

a TtgoGratx OL^LL. TO d* S&TIV ov<br />

110.61 ftakenov 7tL(5xev^i]vai^ on iv 10<br />

sxcctirov oiov cgyavoig TO ipv-<br />

KKI ava^coitvg strut<br />

XQEITTOV ov {JivQicov o<br />

iv ds TG) s{td6{iG) rrjs Hohrsias nsQi a^t^^rtx^g<br />

Asycov cog sGuv dvayxaiOTKT'rj TtaGcov


4<br />

DE TJTILITATE<br />

dst itddcug per Tb%vai$, 7ta6ai$ 6s diavolcug xal<br />

xal rij Ttofaitixfj. nayys^oiov yovv<br />

sv rats rQaycudiccig Ua^a^ridr<br />

girjol yag uQi&yiov SVQWV rag rs rd,ig<br />

rd) 6 ty atoneda ev 'iKify xal s<br />

vavg te KKL ra aAka ndvTa, cog TIQQ rov<br />

ovrcov xal rov ^ya^e^ivovos &s SOLXSV ovde oGovg el%e<br />

ttodas eidorog, stye [ir} riitforaro aQi&pslv. %iv8vvVi<br />

ovv rav yt^bg VQiflw ayovr&v tpv


MATHEMATICAE.<br />

7JS TG3V<br />

tai, tri vo^(jL y ovds itgdtifcog %


6<br />

DE UTILITATE<br />

fteoQia) a()tQOVO[Jiias xal ap ku


MATHEMATICAE. 7<br />

xal xahov fyrritiiV) a?J*a}$ d^ a%$ri6rov. xal rovrov<br />

jtavrav ri psdodos av (uv sitl rr\v aMfacov ayim\rui<br />

xoivoviav xal vAAoyt(?'iHj ?? itiriv aAA?jA


8<br />

DE UT1LITATE<br />

sl'rj xsxrquwog' tirsgopwog ds d^d'ovg koyov<br />

6ov rs xal aoQv&iiog<br />

J<br />

xal 7tdv^ oGcc xaxov XZKOIV&-<br />

dvaQpotirog rs


MATHEMATICAE. 9<br />

ftsotieflsiav OT& tgoitcp rig<br />

TKL. hfysi ds deiv pct&stv jto&Tov dtiTQOvoiniav. si<br />

to xaTa^vd(j&ctL xccl av&Q&xaw deivov, jroAv dsivore-<br />

&G)V' xara^svdoLro d' av 6 tyevdeig fycov do^ag<br />

av do^ccg k'oi TCSL &SG)V o s 5<br />

T&V afa&qT&v -9-ftaiv (pvtiiv<br />

KGrgovoiiiav. ayvofia&at, de yriGi rolg TroAAoTg, on Go-<br />

cp&Tccrov avctyKri XQV A^^e5g aar^ovo^iov slvai, py rov<br />

KCC&' 'Htftodov aGTQovoiiovvra, oiov dvtinds r xal ava-<br />

, AA rag rtQiodov$ rcov rtrd,<br />

JIOTS itatia tpvtiis inavri yivQitQ &{O^6ai.<br />

rov d' Ittl rccvrcc nccQa6xvdovta yvtizig olag dvvarbv<br />

V %Qta 6rlv l&it.Qvrcx. ncctda ovra<br />

vaviGxov dice. a&ridTcov' cbv TO<br />

1 Epin. p. 989 E faoasQstug attvi TQOTCCQ rig TIVU<br />

7 Epin. p. 990 A ayvoslrs on, cocpcorarov avciyHr] tov<br />

KCTQOVO^IOV slvai, ^37 TOV KCC&' 'HoioSov KCTQOVO^O<br />

nuvrus rovg totovrovj, otov dvcficcg rs Y.ul avazolas<br />

GKS pps vov , Klhci rov r(ov dxrco Ttsgiodcov rag STCTO. ite<br />

disiov6rig TOV avrbv nvnlov sxaGxrig, ovrcog


10<br />

DE UTILITATE<br />

aQid'ficov sitiGrriiiovK avrcov, a/l/T ov Cco^iara<br />

ual avrfjs rrjg rot itegirrov re xal agriov yeve'tismg rs<br />

Mai dvva[ieci)$, o6ov 7taQ%erai Ttgos rr]V rav ovrcov<br />

yvtiiv. rovroig ds sepsis nad"r}[iara [isv xaAovGi,, cpqGi,<br />

5 Gcpodga yshotov ovo^ia ^eo^er^iav' e'tin de r&v ovx<br />

QVT&V byioC&v cc^rj^OLg yvtiei aQi&iL<br />

r&v STtixsd&v poiQav. hsysi ds nva xal er<br />

xal xiyyj\v, r\v drj GrsQeoiisTQiav xahst, si'<br />

t, rovg rgsig aQi&novs ^ v fafasda slvai, avfy-<br />

10 &SVTCC$ OjlOLOVQ Ktti KVOpOLOVS 6Wag, (OQ 7tQOL7tOV, 6X-<br />

jtoisi Gcofiara' rovro ds&stov rs xal&aviiatirov itixi.<br />

xal sv Dohrsia ds Ttsgl (jviKpavias rqs xaru pov-<br />

nccl [isyfarq r&v itsgl<br />

v\ Gorptcc, $$ 6 psv Kara hoyov<br />

15 fiTo^og, 6 ds ano^sLTfo^isvos Oixocpfrogog xctl TCSQL<br />

are ra piyitira a^a^aivov.<br />

ual ev raj rgiTG) ds rrjg JTo for stag, diddtixcov on,<br />

iiovGwog 6 ^DtAo^o^Dog, tpqGCv' a^ ovv TtQog ftscov<br />

ovds yiovGiKQl ngorsgov eGoiis&a, ovrs avrol ovre<br />

ov$ (papsv 7][isis naidBvreov sivai rov$<br />

12 Leg. Ill p. 689 D eH' j\ Kcdh'oTr) -AK\ ^sytorrj rcov<br />

diKcciorctr' ccv ksyoiro coyict, f)$ 6 psv Kara<br />

hoyov K>V ju-f'ro^og, 6 d' aTtoksmofjiSvos oiKorp&OQOS ncci TtSQl<br />

ovdafjir) GCOTTJQ aHa nav TOVVKVTIOV cifjia&aivcov sl$ TKVTK<br />

ts ffocvslrca 18 Civ. Ill p. 402 B KQ' ovv, o Xfyou,<br />

ftscov, OVTCOS ovds [lovGiKoi TtQorsQOv (7o/LT'9'a, OVTE avrol<br />

OVTS ovg cpafjisv rjfiiv nctiSsvrsov slvai rovg qpviaxa'g, itQiv av<br />

rcc rrjg GcayQOGvvrjg si'Srj ncci avSgeiag v.a.1 siev&sgiotriTog v.a.1<br />

v.al OGK rovrcov ctdslcpcc v.a.1 TCC tovrcov av svccv-<br />

tid. nKVTK^ov TtSQLrpBQOfisvu yvojQi^co^EV (cf. p. 12, 1)<br />

BVOVTK V otg tVSCTlV dlGQ'CiVCO^Ed'U KKl KVTK Y.CU stuOVKg<br />

ro3V xctl (jir'jTS sv GfiiKQOig (i^zs sv psyakoig a<br />

tfig KVTrjg oicops&K xi%vrig slvca tied fta^a'rryg; &Q corr. ex<br />

UQ A


MATHEMATICAE. 11<br />

civ anavTa TO, rrjg 6&cpQo6vvr}g sl'drj xal avSysiag xal<br />

lieyafaidrrjTOS xal iifycdoitQSTtSiac;<br />

xal o6a TOVTOOV<br />

adehcpa xal TO. TOVTCOV vnsvavTia 7tavTa%f] 7tQicpQO-<br />

[iva %(OQIG)IJISV xal svovta iv olg k'tiTiv al


12<br />

DE UTILITATE<br />

r] yv&Qi^ovta, tovtiGti rag ideas, ayiefai iiti-<br />

Qi(f>Q6yiva tovt6titaidr] xal<br />

[irj dti[id%G3V avta p^x iv Gpixgotg fwfr* iv<br />

r\ de t&v (dscov yvatiig itQi tov cpiAoGotpov' ovds<br />

5 sidfLTj rig av ro xoGpiov XKI G&cpQov xal<br />

avrog


MATHEMATICAE. 13<br />

xal rdds e ds fun doxst opoiov slvai, #& dneixaGai. oC vvv<br />

, eiteiddv /SouA^cotft (Idifjai, 8$iK cotfr' dvai 5<br />

itQcorov plv IxMyowai ex roGovx&v %QG}pdrav<br />

\Lia.v cpvGiv rrjv rav hevx&v, s'jtsira Ttgoxaraoxsvd&vtiiv<br />

ovx oMyy TtaQaGxsvrj fi-EQaTtsvGavTss, on&s<br />

defyrai, o ti pakiGta ro ccv&os, xccl OVTCOS fiditrovGi,' xccl<br />

o psv av Tovrcp ra) TQOTtc) ficKpTJ, opov ri TO fiacpsv XKI 10<br />

1 Civ. p. 429 C (cf. etiam antecedentia) Sia Ttavrbs ds<br />

v avrrjv GCOT^QLUV ro IV TS hvnuis OVTOC diaG(6G&ai avr^v<br />

t sv rjdovccis xal v (sv om. codices complures Platonis et<br />

Stobaei Flor. XXXXII1 97) txtfrofUcag xat Jv (h om Stob.<br />

%/<br />

ed. Trincav.) cpo^ois ncci to<br />

[ir\ SKfidMEiv. SB [lot, doxat opoiov<br />

fivcci, E&s^oo am indeed, si fiovtei. dMd Povhopcci.. OVKOVV oiG&u,<br />

r\v d* yw, on ot ^aqpfTg, eTteiSdv @ovl,rj&(QGi ^at/jat ZQICC OJGT'<br />

slvcu aKovqyd, HQCOTOV (iev SKlsyovTai SK TOGOVTWV %Qco(idzcav<br />

(Jiiav CpVGLV rrjV 1&V faVKtOV, SUSirCC 7tQ07tCCQKGKvdoVGLV OVX<br />

oMyy nccQccGKSwfi Q-EQccnevGuvrsg, oncog ds&rat, (Ss^rjrca Stobaei<br />

codex A et complures Platonis) o TI (idhiGra TO ccv&os, tat<br />

OVTCO Srj pditTOVGi' xal o (ilv av TOVTCO TOO TQOTICO fiKcpi],<br />

dsvGOTCotov ytyvsTcci TO xat f] ^aqpv, nlvcig ovx 3<br />

avev<br />

OVTS [ISTOl QV(l(JiKTCOV 8vVCCT(Xl UVTtQV TO UV&OS CtCpKicc<br />

S' av oiG&a ola |LtrJ, dfj yiyvTai, sdv TS TIS<br />

%g(apttTQi fiaTtTr] sdv TS ncci TUVTU prj nQod'sgansvcas.<br />

olda, I'qpJ?,


14<br />

DE UTILITATE<br />

cpitiig, xa ovrs av&v vft^irov ovrs [isra<br />

avr&v ro av&og atpaiQstG&af a d' av<br />

oicc<br />

drj yivzrai, av py TtQO&SQatts<br />

xal |m?Aa xccl ov devGonoid. TOIOVTO ds xata<br />

5 dvvapiv fyya&Ofi'ai, fysiGd'cu, %$}] xal faac;' rtKidevopsv<br />

yaQ tovg Ttccidag iv povGwrj rs v.a\ yviivaGtixfi KCCI<br />

xal 'yeo^sr^ia xal iv aptityi^rt;^ ,<br />

ovdlv aAAo<br />

rjpslg TtQOSxxa&aQavxss xal TCQO-<br />

10 Tovtoig, rots TIEQI cata&rjg ccQsrg rjv av<br />

Aoyovg zvdsl^owxo KH5itQ pacprjv,<br />

f<br />

iva<br />

avrwv rj d6%a yivoiro^ dice ro zr\v (pvtiiv xal<br />

rridsiav iV OVTCOV wg a<br />

20 TtaqadoGw. nvijtisag ds [isgr] TISWCS. TO<br />

psvov xa&aQiiog' ovrs yap aitatii, rotg ftov^o^dvoig psrovGia<br />

iLvGrYiQiKiv cmV, AA' slolv ovg avr&v sl'gys-<br />

Gftat, TtQoa'yoQsvsraL, olov rovg %st$ttg pr xa&aQag xal<br />

cpavriv a&verov s'xovrag, xal avrovg ds rovg pr} sfyyo-<br />

25 ftsVovg avdyxq XK&CCQUOV nvog JtQorsoov rv%slv. psra<br />

ds rr]v xa&aQGiv devrsga sGrlv q rijg rsterijg<br />

9 GTvntinois: x in ras. trium ant quattuor litterarum A<br />

12 ysvoiTQ A 18 cf. Plat. Phaed. p. 69 D 20 a A in<br />

margins 23 cf. Bernhardj Grundriss _der griech. Lftt. I p.<br />

22. Schoemann opusc. II p. 351 26 |3 mg. A


'<br />

xa<br />

MATHEMATICAE. 15<br />

ds (fi) jroi/o^ofiV?7 eTtoTtrsta' rsraQTr] de, o<br />

, coGts xal fWpotg, as ri S x&Q^lafls<br />

dadov%{ccs rv^ovra, rj<br />

nvog aMrjs tsQGHSvvtys* ni^itxr^ ds r}<br />

3<br />

| avrav TCBQL- 5<br />

Kara ro Q-eofpikls xal &SQIS Gvvdiairov svdai-<br />

a. xara ravra di] y.al ^ tavllharcovixav Aoyav TtccQcc-<br />

TO plv TtQMTOV %Ei KK&KQyLQV XlVa, olov XV\V<br />


16<br />

DE CONSILIO SCEIPTORIS.<br />

nca XCCT' avTov TOV UAdTcova opo&xftg &scp Kara TO<br />

dvvaTov.<br />

zro/Ua psv ovv xal aMa %oi TL$ av ksysiv Ttaga-<br />

dswvvs TO TCOV na&rjiidTcov ^or^G^ov xal dvayxatov.<br />

5 TOV ds pji donetv artSLOoxahas diaTQi^SLV <br />

rco TK>V<br />

pK&rjiiaTav exawa) TQSTtTeov r^dri noog TTJV itaQotdoGw<br />

TCOV avayxcctov KCCTK TCC na&q[iaTa frecoorjiiccTcoVy ov%<br />

o6cc dvvaiTO dv TOV vTvy%dvovTa tj ttQi&tiviTixov Tshecog<br />

ij yEaiieTQriv rj povGixov t] KGTQOVO^OV dnocpijvai,' ovds<br />

10 ydg Cn TOVTO ytgoyyoviievov ty 7tQOXi[isvov catatiL<br />

Tots II^aTovi VTvy%dvov6i' {i6va ds TKVTK itaQad&Go-<br />

0(3 a s^ctQKSi TtQos TO dvvrj&rjvai<br />

Gvvslvat, TCOV<br />

KVTOV. ovds yap avTog d%iot fig diayQcc^aTa ygdcpovTcc xal<br />

15 dMa naidiKK OLSTKI, TKVTK TO. ncc&iJiJiaTu,<br />

a xal xa&aoTMK ovTa $v%r]s sis t<br />

(pikoS xccl TCO TtavTaitaGiv dpvrJTCd TCOV<br />

lia&rjiidTcov yvcoQipa ysvlti&ai.<br />

itgcoTov ds iivrjiiovsvGonsv TCOV doi^-^Tixcov &SCOQTJ-<br />

25 [idTCOv, ols Gvve&vxTcci, xalTccTijs sv depots iiov6wrjs'<br />

Tijs l&v yctQ svooydvois ovjtavTdnaGi Ttooadsops&a, xa&a<br />

xal amos o lUctTcw ayriyeiTai hsycov cos ov<br />

1 Theaet. p. 176 B 3 KV Myeiv apogr.] avalfyew A<br />

24 inscr. nsgi KQi&[i7]ti.%ris A^ j$ in mg. 27 Civ. YII<br />

531 A, cf. p. 6, 5 sqq.


DE DISCIPLINARUM MATH. OEDINE. 17<br />

tx yeixovcov tpcdvyv d-qgevonevovg itQaypaxa 7tKQe%et,v<br />

rats ftogdcctg' ogfyops&a de xr\v ev noti^G) aQpoviav xal<br />

rrjv ev xovxc) povGMrjv xaxttvorJGKi' xavxyv de<br />

olov xe xaxidetv pr] xrjg ev KQiftpoig TCQCTSQOV<br />

xovg yevo^ievovg. dib xal itipitXT\v 6 Tl^arov (p^lv 5<br />

slvKi Tr\v [lovOixrjv, rj]v ev KoGptp hiyav, rjTic; itixlv iv<br />

tfj xivfoei, xal ra%i KOI GviLtpavta rav ev avtc) KIVOV-<br />

inevav atirg&v. r^alv d avaynatov devxegav avtijv<br />

rarrew peru, ccgi^^rjTixi]v KK\ KCCT' avrbv TOV TJAaroi/a,<br />

r] ovd' TJ ev KoGpcp [lovtiixr} hrjitrr} uvev TYJ$ e%ccQt,d'- 10<br />

KK\ voovyievrjs p&vtiixrjs, entire ei ^ev tivve-<br />

rf{ itegl ^tAoi>g aQifrpovs 0-fea^ta r\<br />

ri, devregcc av rayfteCri ngbg TTJV rt]<br />

ev a<br />

^ageidv. ngbg de xr^v tpvGixyv xa^iv<br />

av eiri q negl CCQI&[IOVS d-e&Qia, Kalovpevri<br />

y' devxeQK de r\ itegl XK enhteda, KKkovpevYi yeo-<br />

xv] de i] itegl XK tixegea, r^xig etixl tixegeope-<br />

xexaQXTfi (Sly rj Ttegl xa mvovpeva tixegeK, r^xig<br />

etixlv atixgovoyiia. y de xrjg r&v Kivritieav nctl diatixri-<br />

Ttoicc ti%eGi$ etixl ^ovaiM], r^xiq ov% ol'a xe etixi 20<br />

cu ft?) ngoxegov if]^c5v avxr^v iv aQi,&[ioi$ xaxa-<br />

vorjGavrav' dib Ttgbg xr^v ri^exegav ftecoQiav pex CCQI&-<br />

Hqrixyv xexa%&a fj ev KQI&IIOIS {lOvGwri, cog de agog xqv<br />

cpvtiiv iteyiTCxri xijg xov xoGpov aQuovtccg d'ecogrj-<br />

xwri [lovtiixri. KKXK dr\ xovg IJv&cc'yoQMOvg Ttgetifievxea 25<br />

^4 TT}g corr. ex rotg A 5 TTitaroov: cf. Civ. p. 530 D<br />

6 TY\V iv KOGfjioj Ag'yoov] TCOV iv xoff/^co koywv A, cf. vs. 2 et 10<br />

7 avToi Bull.] avrr} A 10 scrib. vid. avsv TIJS sv UQI&-<br />

H0i$ (vel f| KQi&(jLa>v) KKtccvoovpsvris, cf. vs. 21 18 8s add.<br />

Bull. 19 scr. vid. iti^nxr\ de rj rf)g raiv v.iv. Y.UI diucr.<br />

&\hrikcc 6%eGcos &86JQrjTiy.r} ^ouatxrj 21 avTi]v]<br />

25 [L%QL rOVTOV mg. A TtQEGftsVTKS A<br />

Theo Smyrn.<br />

2


18<br />

DE UNO<br />

T TK)V dl&lLG)V G)g ttQ%r] Xfc 31^1] Xttl<br />

ndvrcov.<br />

6v6rr][ia {lovddav, %<br />

djtb [lovddog aQ%6[ievog xal dvKTtodia^ibg sig<br />

5 novdda KatccAqyav. povag ds stiri, TtsgaivovGa<br />

[ctgyri noi 6roi%siov<br />

rov n^Tq^ovg Kara tir\v vyaiQetiiv rov Jtccvrbg<br />

GtSQq&stGa \LQWV\V re xccl Grdtiiv Ka\i$avi. ov yag olov<br />

T rtSQCUTeQG) yEvsG&cu tr\v toinjv xccl yag sav stg<br />

10 diV {lOQiaV yCav sxsivo itdkiv sig<br />

, rthrj&og rs ra pooia ysviJGsrai, xal ^<br />

KO.& vcpaCgstiiv snaGrov TK>V pogicov sig sv.<br />

15 doers ajisQitirov HOI adiKLQSTOv TO sv K)g sv. xccl ya$<br />

6 [isv aMog ccgi&iibg dicciQOV[isvog<br />

s^ccrrovrcci xal dicci-<br />

QSitcci, sig shdttovcc ccvrov fio'ota, olov ra g' sig ra y<br />

xal .y ij<br />

d' xal /3' 1}<br />

s' ual a. TO ds sv dv psv sv<br />

aiti&ritoig diaiQiJTai, cog [isv Gapa sAartovrai nal dicci-<br />

20 QSirai sig sAdrrova KVTOV police rrjg to^irlg yivo{isvr]g,<br />

&g ds dgi&iibg av^srai' dvrl yccg svbg yivstai jro/U#.<br />

SOTS xal KKTCC tovro K^LSQsg TO sv. ovdsv yap diaigov-<br />

lisvov sig psi&va savrov police diaigsirai' TO ds <br />

3 inscr. nsgl vbg ncci [iovddo$ A, y in mg. Stob. eel.<br />

^<br />

I 1, 8 H X


ET UNITATE. 19<br />

is pti'Cpva TOV ohov IIOQLCC cos iv<br />

i ncti (1$) i'6a TGJ 6'Aca* oiov TO V<br />

TO iv ecfa&qtots av ei$ $1- diaigs&fl, L$ I'Ga [IEV rco 6'Ao><br />

cjg aQiftjios dittiQS&riGertti a a a' a a a , stg IISL^QVK<br />

ds TOV ohov as aQi&iibs tg d' xal f$'' r ya$ ft<br />

KOI 5<br />

d' tog aQi&pol Ttfaiova TOV i/og. adiaigsTos V W ^<br />

as aQiftpos. xatetTcu ds jiovas r^toi anb Toi<br />

KTQSTtTOS Xttl [IT] $fattt8&tU, TT}g SKVTTJS g)VG8G)$ '<br />

yccy av e


20<br />

DE UNO<br />

t (patiiv sig OMSLQQV, ov% cos aQiftpov ovds cog<br />

ccQi&iioVy AA' (og afa&qrov. Stirs rj [isv {lovag<br />

ov6a adiaigsros, rb ds sv cog aiGftriTov st<br />

CCTCSIQOV<br />

teal ra dgi&iirira roov aQi&nav sty av diatps-<br />

5 Qovra TCO rcc fii/ ' savrb ovr&v,<br />

ua&b sxatirov roov ovrcov sv<br />

ksysrai,, iisra6%bv rrjs jrpcor^g rov svb$ ovtiiaq rs xal<br />

idsag. '^4()%vra$ ds xal (PiAoAaog adiacpoQWs<br />

rb sv xal<br />

20 povada xahovtii, xal rqv povada sv. 01 ds ithsttiroi<br />

TCO povdda avrqv rqv Ttgcoryv [lovdda, cog<br />

nvog ov ^c^cor^g [iovddo$y % s6n xoivorsgov xal<br />

avrrj povas xal sv - - KiyvvGi drj xal rb sv , rovr-<br />

81 A. 19 'A(>%VTttg'<br />

Mullacli fragm. philos. Gr. II p. 117 3>dolaos: Boeckh Philolaos<br />

Lehren p. 147. Mullach II p. 5. cf. Zeller I p. 320, 1<br />

21 Tc3 (lovctdcz] scrib. vid. aut rfj (jiovddi, aut TOJ (slvcti)<br />

'<br />

22 fiovaSog] ft A 23 CCVTT] A<br />

fiovdSK<br />

xal to sv] ov<br />

TO sv? cf. vs. 14


ET UNITATE. 21<br />

xal vorjrr] ovtiia rov svog, sxdtirov rav<br />

xaQS%ov6a sv' psroffl ya$ avryg sxatirov<br />

sv Kakelrai. dtb xal rovvopa avrov ovdsv it<br />

it V ual rivog ysvovg,<br />

Kara jtdvrwv ds<br />

\jw6re Kal rj fiovccs wl %v i


22<br />

DE NUM. PAEIBUS ET IMPARIBUS.<br />

CCQTIOV [isv ovx ccv el'rj' ov yccy oiccos etc; fact,<br />

ctMJ ovds<br />

oAeag diaLQstTtti' TtEQiTTvi agcc ^ povag. KKV agria ds<br />

CCQTIOV TtQOG&TJS, TO ItCCV yiVETKl KQTLOV* [lOVCCS 88 KQTIG)<br />

nQOGTld-epevr] TO TtCCV TtEQlTTQV TlOLEl' OVX CCQTIOV<br />

5 rj povas edict TCSQITTOV. '^QiGTOTehys ds iv rw Ilv&a-<br />

TO e<br />

o OVK KV rjdvvciTO ? el pr] ayupolv TQIV<br />

diO Xdl aQTlOltSQlTXOV XCCfaiGd'ai, TO EV. 6V\l-<br />

10 (pegsTKi ds TOVTOHS nal 'AQ%VTO,$. ittQiTTOv [isv ovv<br />

itixiv rj [tovasi Kaftaney KK\ EV<br />

Kttl TSTKyiieVG) TO TtSQLTTOV<br />

ds JtycaTr] idea y (XOQHJTOS dvds, xa&a ual EV<br />

TCO aOQlGTG) XML ayVCOtiTG) Xttl CiTKKTG) TO KQTLOV<br />

15 TtQOGttQllOTTOVGl. dlb KCtl KOQl6TO$<br />

ovx EGTiv KXSneQ rj yiovag (o^tcTfteV^.<br />

OL d'<br />

TOVTOLS OQOL aitb povados EKTL^E^EVOI TK<br />

per TTJ farj vrtegoffl' [tovadi yap sxatiTos av-<br />

T(DV TOV TtQOTEQov TtJiEOva^Ei' av^opsvoi, ds Tov$ Aoyovg<br />

Trjs Ttgbc; ccMrjAovs 6%e6EG)s ccvrcsv iiEiovGiv. oiov SXTE-<br />

&EVT&V CCQI&IIG)V K $ / d' s % 6 {LEV Tqs dvddog Aoyog<br />

Trjv [lovccda EtiTl d^Aa(?tog, 6 ds TYJS TQiado$ nobcj<br />

dvdda ^fuo'Atog, 6 de Tijg TSTyddog Tt^bg Tqv Toiddcc<br />

o de Tys Tteviddos ngbs Tqv TeTgada ETIITE-<br />

25 TKQTOS, dl T7)S E^ttdos ItQOS TVJV TtEVTCcdd E1tiTtE\L7tTQ^.<br />

E6TI d' A.KTTG)V l6yOS [Lev ETtiTtEyUtTOS TOV ETtlTETttQTOV,<br />

5 'AQLGTOT&rjs: ed. Berol. fr. 194. Rose Arist. pseudepigr.<br />

fr. 184. Heitz fragm. Aristot. 115. cf. Zeller I p. 368, 4.^ U<br />

2 2<br />

p. 48 nvftccyoQwd) : w corr. ex cov ut vid. A 8 cpvasoiv<br />

mut. in (pvasotv A 17 ru UVTU del. esse cj. Hultsch 18<br />

povu yaQ corr. ex (lovoi A


DE NUMERIS PRIMIS. 23<br />

o ds 7tiTTaoTog TOV 7tLTQiTov , 6 ds 7tiTQiTog (rov)<br />

y 6 ds fJfuo'Atog<br />

TOV dutkaGiov' xal iitl rav<br />

&v ds aQi&iHDV o avTog k6yo. vaMa%<br />

d' sfalv<br />

a/U??'/lot (H T aOTLOi Xal 01 TtSOiTTOi Tttto' VK &SG)-<br />

tLG)V 01 (ASV TtQKtTOL XttkoVVTCll, aTtl&S<br />

) 01 ds agog cdkfaovs TtQ^roi KK\ ov%<br />

, OL ds &VV&STOI ccTthas, oi ds agog CCVTOV$


24<br />

ccMcov KQid-pcov '<br />

DE NUM. COMPOSITIS.<br />

oiov TSTQKS (tv vnb dvddos' dig ya$ ft<br />

d'' sas 6s VTtb dvddos nal rgiddos' dig yag y g' ual TQ\$<br />

/3' g'* xal Oi Aonrot a-riot Kara ra avta vito TWCOV iisi-<br />

ovcov rrjs novddos dQi&ncov xara[iTQOvvTai, n^rjv %v\s<br />

5 dvddo$. ravrrj yag novy (jv^i^sft^sv, oneQ xal svfoig<br />

T&v 7tQiGGK)v, TO V7tb [tovccdos iLBtQeiG&ai povov' a7ta%<br />

yaQ ft ft'' dibxctl TtSQiGGosidqc; si'^rai ravro rotg nsgiG-<br />

6ot$ Ttsnov&via. TtQos AA^Aovg ds kiywrui Ttgcotoi, aged-<br />

[iol<br />

'<br />

1<br />

xal ov xttO avTovg o XOIVG) ptrQC) ^etQov^voL rrj<br />

10 iiovddi, xav vjt aMnv tiv&v aQi&n&v cos rtQOs av-<br />

rovg xaTa[iTQCQVTai. olov I r[ ^r^Eirai plv nal vxb<br />

TCOV /3' xal d', nal 6 ^' VTCO rcov y', xal 6 i vnb rcov /3'<br />

'<br />

xal fyovGi ds nal xowov ptrQov nal 7tQO$ cdArjAovg<br />

xal TCQOS rovs K&& avrovs TCQCOTOVS t^v povada' nul yag<br />

15 aWl y y' xal anat, ^ r{ xal aitat, & & noi a7ta%<br />

i i .<br />

Gvv&eroi ds eid 7r()6g savrovg oi vno tivog f'Ar-<br />

TOVOG aQi&iiov [isrgoviisvoi,., cog o g' vnb dvddos xal<br />

Ttgbs aMrjAovs ds Gvv&sroi oi xoivcp (bnviovv<br />

xgov^evoL' cos o V xal 6 g' [xal o oK]" KQIVQV<br />

20 yccQ s%ov6i IIZTQOV dvddcc [xal TQidda]' dig yag y 'g' KOI<br />

dls d' r[ [xal rgls y' O1<br />

']' (KOI 6 g' xal 6<br />

yag amtiv USTQOV f] rgias' xal yag rgls ft' g' nal<br />

y O1<br />

'. ovrs ds q [iovas ^iO-^og, aMa aQ%r\<br />

ovrs q doQiGros dvdsy Ttgcory ov6a srsgotris<br />

25 xal prjdsv avrys w aQtCois aQ%iXG3tQOv s'%ov6a. TCOV<br />

6s GVV&S'TCOV TOVS psv vnb dvo aQi&ncov ns^is^o^svovg<br />

7ti7tsdovs, cos Kara dvo 8ia


DE NUM. PARIUM GENERIBUS. 25<br />

Kal olov vitb {iijxovs KOI xAdrovg<br />

vrtb TQICOV GTSQSOVS., cog Kal rrjv<br />

6'iv jrpotfftA^qpoTag. TtfOiO^v ds nakovGiv KQi&yuav rov<br />

6V #AAt?Acov avr&v itokvitkaGiaGinQV.<br />

coV $ dgricsv oi {iv efaiv agridxig K^noi, 01 ds 5<br />

Qnoiy oi d^ a^tiQTti^irtQi. agndius {lev KQ-<br />

XLQI [TO Grinstov rovro etinv] oig TQLO.<br />

TO vjtb dvo a$TiG)v en aAA^Aov<br />

i, devtsgov TO itavra agna %ew ra<br />

si$ {lovddcc xatKfa'facos , ngfoov TO [irjdfv<br />

av- 10<br />

TCOV pfyog OIKOVVIIOV dvcu itSQixtG)' oitoioC d


26<br />

DE NUM. QUADRATIS<br />

diaiQEGw sis ttSQirrov, percc ds rqv it^rr\v sis fccc<br />

8iKiQS(5iv ovx art dicugovvrai. rav yaQ g ra (isv y<br />

) tec ds y' OVK sri sis fact dicug strut' ^ovas yag<br />

5 TtSQiGGauis ds agnoi<br />

sl


ET ALTERA PARTE LONGIORIBUS. 27<br />

dib [tovov aQTioi of<br />

fytovtia rrjv dvdda rcsfOfMpnj rco><br />

tofyGs, xal di,a rovro y dvdg rijg<br />

s OVG>K xal povadi, V7tEQS%ov


28<br />

DE NUM. QUADRATIS<br />

vitsosftovGav fyovrsg, cog 6 dl$ d' xal 6 rstgaxis %fjs itSQiGGol a y % &' IK' %v xal y d',<br />

tetgd'ycovos, t$ catefyov<br />

o avrcg Aoyog. xara ply ovv 7tiGvvfte6iv ovrcog ysvvnv-<br />

rau of TETQaycovoi, tav sys^s iteQiGG&v T<br />

anb /Ltoi/adog TStQccycavG) 7tQo6Tid'e[i8vcQV'<br />

GiaGnbv ds, ZTtEiSav QtintiQvv a^tO-ftog iy<br />

15 TthaGiati&fi, olov dls ft d", TQLS y' &<br />

ol yisv ovv rsTQayovoi, rtdvtes rovg<br />

eavrbv JtoAAa-<br />

xara rr\v ysco^isrQixrjv ava'koyiav xal<br />

avrovg itOLOvGi \rovrfan rovg povadi, ^is^ovccg<br />

ETEQCCV TthevQccv vrjs ete'gas vn8QS%ovTas\' oi Se<br />

ovx STL Tot>g rsTQccycovovs TtSQihayifiavovGiv<br />

cog pfaovs 8ivai xara avakoyiav. olov a ft y d' s'.<br />

OVTOI TG) [LEV idicp jrA^ft jroAAajrA#(7iojii'0 itoiovtit,<br />

TSTQaycsvovg' anat, rs yccQ a a' xal dl$ /3' d' xal rolg<br />

y & xal rsrpdxis d' tg' xal 7i8vraxi$ s xs' xal ovx<br />

25 ixfiaivovGt, rcov IdC&v ('QOV' r\ rs yao dvag savtrjv<br />

3 inscr. nsgl rsTQuyavcov (XQtQ'^cov A, Ig in mg. TE-<br />

covoi


ET ALTERA PARTE LONGIORIBUS. 29<br />

xal j] rotas avrqv fagfatisV) wtite sisv av re-<br />

01<br />

%ijs a d' &' i$ KB. [istiovs $ %ov6i rov<br />

ovrog. rer^dyovoi dvo


30 E>E NUM. OBLONGIS.<br />

TCC g' riiLiofaa. tW ds avcdoycog fte'tfov $, dft avxl<br />

ovTog {letiov sivai) coGte ov %i Aoyov TO Ttgcoxov Ttgog<br />

TO [IStiOV, XOVXOV TO {LStiOV JtQOg TO TQLTOV. TtuklV TCOV<br />

sv<br />

o $ amos KOI rtl TCOV efcys Aoyog.<br />

6V (?Ttv apt^og 6 VJTO<br />

avTiv&vovv, tj povadi r/<br />

10 rj 3(t TtksCoVi TOV TQOV TOV TQOV V7t^%OVTOq^ K)g<br />

6 Xd',


DE NUM. PLANORUM GENERATIONS. 31<br />

xal nsvTamg 77' KOI dig K '<br />

ctiTig xal povog av sty noo-<br />

Too^Krjg yag itiiiv 6 in TCOV i'6av aQi&yiGiv<br />

TtQGJTrjv kapfiavGiv sTSQOTrjTcc' r\ ds Tijg [lovddog T<br />

/3' TtQCQTog aQTiog' xal l


32<br />

BE NUM. PLAN. GENERATIONS.<br />

dvo aA(pa [a '] nal nsQt&co^isv TO. d' rots /3',<br />

TQo^riKs TO TGOV g' 6%rj[ia' xarcc plv yag TO<br />

yiVTai 7tl TQia, KaTO. ds TO TlAaTOS 7tl ft'. ^rjs<br />


DE NUM. TRTANG. GENERATIONS. 33<br />

povov rov$ tp%fjs TtEQiGGovs,<br />

KOI 7tQL


34<br />

DE NUM. MULTIANG. GENERATIONE.<br />

01 de rergdyovoi yevvcovrai [lev, cog jrpoft'p^tat, en<br />

roov efpe^g aito povadog Ttegirr&v aAA^'Aotg iititivvri-<br />

&[iVG)v' 6viif3e@qxe ds avrotg entire evakha^ nag' sva<br />

agrioig eivat, ual TteQirroig, KHJTIEQ 6 nag aQi&iibg nag*<br />

r<br />

tg us Ag'<br />

'<br />

5 va apt16$ itinv r\ TtEQitros' oiov a d' O1<br />

ft-fr' |d' xa Q. Trj ds Kttb [lovddos Kara rb %rjg sx&eGsi,<br />

rav CCQTLOV r xccl TtSQitrnv aQi&yiav Gvpflsflrjxs, rovg<br />

rovg dvddi, AA7JAcov V7tQ8%ovTag iv rfj


DE NUM. QUADRATIS ET CUBICIS. 35<br />

doi,&[iovg xvftot, ovTfg, Tttodycovoi, ds ovrfg<br />

xvftixdg %ov6t, rag Jtfavodg. on ds TCOV<br />

aQi&iicov 01 plv nag tva ditb povadog rttgdyavoC efoiv,<br />

01 $ Ttaod ft' Xvftoi, 01 d Ttaod 8 XvftOL U\JLU. Xal T-<br />

Todycovot fitft, dfaov ovrcog. iv plv TOLQ dinkaGioi^ 5<br />

OlOV a<br />

' ' a' ' S*' ' r


36<br />

DE NUM. SIMILIBUS.<br />

rjs xal rgivov %iv nal '<br />

retagrov., cog 6 KG .<br />

01 i<br />

i d KvitiecKiq Kvi6oi TQO[irjXig xal<br />

5 xal cc7tA.K>s oi d^xac; Tto^aTC^a^ia^o^voi ni7tdoi^ oi<br />

dl TQt,%O)S 6TQOC. KiyQVtai d 7tl7tdOi CCQl&HOl Kttl<br />

rgfyavoi, KOI rTQKycavw, ual 6tQQ\<br />

xal rakkcx, ov KV-<br />

o a d' 7ti TfTaavov iov KaraiTZ ait<br />

10 amov xateltai, TSTQuyavos, xal o g' dia ra avra rQO-<br />

d' sfalv ccQi&nol iv ^il<br />

voi ol 7tdvrs TIU.GIV, f-re^oft^ctg dl oaav at<br />

rovtzGnv OL TCQL%ovrc; avrovg a^i-9-fiot, avakoyov<br />

'<br />

15 i6LV. oiov rQO[iqxrj i\v TK %'<br />

tt<br />

TtfavQccl d avrov iirj-<br />

xog /, TrAarog/3'* sregos nakiv 7ffado$ 6 nd'' xfavqccl<br />

ds avrov fi^xog [ilv g' ? jtkdros d d'. xal stixiv cog TC<br />

nOS TO fUJXOg, OVT&S TO Tt^CCtOg 7tQOg TO<br />

cog yaQ g' Jtpog y' 5 ovTcog d' agog /3'. OfiotO* ovv<br />

o T g 3f xc. G^Ki^arQvtai OL<br />

avrol aQi&jiol ore IL&V fig Tttevgag cog fi^xri xal agog<br />

otav dvo d<br />

1 j\ supra vs. A 3 inscr. ns^l taccnis I'GCOV v.ai OLVL-<br />

dviocov A, x|3 in mg. 7 (TTfpfot corr. ex ffrs^sot<br />

A 9 TSTQccycovov apogr.] Q (i. e. Tfr^aycovcov) A 12 inscr.<br />

oftoi'cov a^t^^wv A, %y in 2<br />

mg., figuras add. A<br />

14 avrovg] ctvra$ A, cf. p. 24, 26 19 d TCQOS fi apogr.<br />

^ jr^off ^ A 21 eog ftrfx^ xal (Tt"ku.tr\ ttccl -ut/>^)>? 23 ^vo<br />

^v'o A<br />

apogr.] ^


DE NUM. TRIANGUL1S. 37<br />

g, orav ex jroA/UnrAatftatf^ov rgicov kr\iv<br />

ds rots 6rQoig ndkiv oi pw xv-<br />

fioi itdvrfg natiLV sltiiv o'ftotot, rcov d ahAcov oi rag<br />

Ttfavgag %ovrs avdkoyov cog 97 rov [MJxovg ngbg tr^v<br />

rov nqxovg, ovrcog ^ r v JtAdrovg agog rqv rov nka- 5<br />

rovg xal


38<br />

DE NUM. CYCLICIS.<br />

TGJV<br />

dviv , o(7ot xal oC yvKtyiOves Gvvsrs&YiGav. eira TO y<br />

7tQ06kapfiavi TOV TMV y ^vapora, og povadi<br />

xrig dvddog, nccl yivtrui TO plv ohov TQI-<br />

5 ywvov g' TCkevQctg d' %ei TQGOVT&V povad&v nal TOVTO<br />

TO TQiyavov, otsoi i<br />

yvca^ovs Gwiiftwiai' X ya$ TOV<br />

vbs xal ft Keel y


DE NUM. QUADRATIS ET PENTAGONIS.<br />

7tl rovro drtoxa&iGrarai' vnb yaQ ftta<br />

%6[lVOS CC7CO XOV KVTOV aQ%STKl, Xttl Lg tKVTO<br />

yi. roiavrrj ds XKL iv 6rQco y Gcpatga' xvxkov yap<br />

xara nfavQav itsQiayopevov v\ ano rov avrov enl rb<br />

avrb a7tOKaTa


40<br />

DE NUM. MULTIANGULIS.<br />

i^dywvoi, ds sitiw ctQi&pol<br />

oi ex rcov Kara rb<br />

CtTtO {LOvddoS VSTgddl, AA??Aa31> VJCSQSftOVtOV 6VVTI&[1voi'<br />

cov ol yvcdnovs's sltiiv K & ly i% xa us' OL ds<br />

lx rovrcov s^dyavot, olds' a g' is xr{ pe %$' *IK. (3%^-<br />

5 {iKri^ovrai ds ovros'<br />

a ?' i?' xry' fjis' I?<br />

a a a a a a<br />

a a a a a a a a a a<br />

a a a a a a a a a a a a a a<br />

a a a a a a a a a a a a a a a a<br />

a a a a a a a a a a a a a a a a a<br />

CC Of OCKOfCC Gt Gt Ct CC Ct Ct Ct CC Ct ft CC<br />

a a a a a a a a a a a a a a a a<br />

a a a a a a a a a a a a a a<br />

a a a a a a a a a a a a a<br />

oc a a a a a a a a a a<br />

a a a a a a a a a<br />

a a a a a a a<br />

a a a a a<br />

a a a<br />

a a<br />

a<br />

imayovoi de sfaiv oC KTCO [iovddo$ Jtevrddi dMrj-<br />

Acw vjt{)%6vta)v GvviGrapevoi' av yvco^ovss \isv a<br />

g IK ig xa xg'' 01 ds sx TOVTCOV Gvvti&eiisvoi a' %<br />

irf<br />

Ad 7<br />

ve Jta. o^iOLog ds xal oxTccy&voi dab<br />

10 povttdos s^ddi, AA^Acoi/ vitsysftovrov Ovvnd'e^isvo^ sv-<br />

vsKyavoi ds 01 ano povados spdopKdi, aAA^Acov vittQ-<br />

%6vTG)v GwiGTccpsvoi., dsxccyovoi, ds ot arto [lovddog<br />

6ydodd i aAA^AGjv vitsysftovrov 6vvri&[isvoi. sjtl itdvrav<br />

ds rav TtoAvycovcov xa&oAov otidyovos av<br />

15 ^t0^ftog, dvstv dsovGaiv [lovdd&v TOV ?rAjO'Ot;g<br />

1 inscr. Ttsqi f|ayojveov a^i^^eov A 6 inscr.<br />

ds rj GVV& sais V.K\ inl r&v loinoiv noHvycovoov A<br />

ftt TCOV hie et in iis quae sequuntur neglegenter omissum<br />

11 [tovados A 2<br />

] vdSog A 1<br />

13 xal ante snl add. A 8<br />

15 dvelv SSOVGKIV povccdcov corr. ex Svo ds ovocas (lovay ut<br />

vid. A


DE NUM. SOLIDIS. 41<br />

rav KI&,GJV Aat3oWrat js; ov of<br />

K dvo xoiy&vcov ttTtorekslTcci, tsxQaycavov' a xctl y<br />

d', y xal g' -O1<br />

', g' xat i ig , i xal IB xe', is xctl xa Ag', xa<br />

xccl<br />

1<br />

ntf /iO ', x^' xal Ag r<br />

|d', Ag' xt fie' JT', xl of ^g 5<br />

O[JLOIG)$ tfvvdvafppevoi rQiyovoi rsTQccyavovs artOTsAov-<br />

Giv, cog xal 7tl rcav yQccmiM&v TQiydvav GVV&BGLS xe-<br />

Ttoiet.<br />

TG)V tfrQG)V (XQl&[lG)V 01<br />

[wg apt-^^ovs t$ls faovs inl<br />

oC d avL(Sovg. rovrov d' oi [ilv TtaGag av- 10<br />

t'ffovg %ov


42<br />

DE NUM. PYRAMIDALIBUS.<br />

rrjv ds iQitv\v SXKTEQCCS rcav dveiv<br />

f<br />

8<br />

5<br />

doxides<br />

^<br />

foams<br />

Se Kal nvQcciioeidsis KQt&iiol 7tvQa[iCdas xara-<br />

KOI KokovQ07tvQa[iidag. xo'Aovpog ds Ttvyaitinv<br />

ri rqv xogvcpqv KTtorsr^^evrj. rivfs ds<br />

TO rOLOVrOV TQCiltE&OV TCQOGriyOQSVGttV KTtO<br />

iitiitld&v rQaTtE^i&v tQaTtBfyov yccg ksysrai,, orav<br />

vno<br />

io ds xa l itsv-<br />

2 ad figuras, quae satis neglegenter descriptae sunt, pertinet<br />

haec adnotatio marginis A: TO sndvco crj^iov ianv IGOV,<br />

TO vjroxaTto ^et^ov 3 inscr. KSQI nv geckos id av KQiftpaJv<br />

A, KTJ in mg. nvQctftida A 4 KohovQonv(>afjiida$: ccg corr.<br />

ex 5 A 10 inscr. nsgl nlevQixoov *cti<br />

A, *# in mg. cf. Nesselmann p. 228 sqq.


DE NUM. LATERALIBUS ET DIAGONIIS. 43<br />

l xara TK homo, G^^IKTK Aoyovg %ov A,<br />

em. apogr. I'orrat] nota vocabuli KQK in ras. notae voc.<br />

sarai A [lovudojv corr. ex povadi A<br />

dice<br />

'


44<br />

DE NUM. LATERALIBUS ET DIAGONIIS.<br />

{iV ditb TTJS dvddog rtfovods Tttodyavov d' ?<br />

rj<br />

tergycovov<br />

TOV<br />

'<br />

1<br />

-9<br />

TO & aga<br />

xr^ psv /3' Ttfavga didiistgov tj\v<br />

5 (?rt j] itfavga<br />

'<br />

rij ds xQiadt, diapstQC) ft<br />

dig ra /3'' sGrca %' street, TO [isv ano<br />

10<br />

gcv,<br />

av<br />

t/3'* xav rri<br />

xl S 9<br />

', TO $s ditb xv\s<br />

TOV xs' KQK TO<br />

TV\V<br />

aito<br />

it,'' xal TOV ditb TTJS ift TSTgaycovov TO dxb<br />

povddt, TtAeov q diitkaGLQV. xal Kara TO %rjs<br />

opoicos yiyvQ\iivvi, eGxai to<br />

15 T di7tkd(5iov TO anb<br />

Hal<br />

TfTgaycovov TOV dab<br />

ai xoiavxai xccl nfavoal xal<br />

xav rtfovgav Jtaoa noxl<br />

in ras. A 2 SLC([JLTQOV'] d" A -9-' TO &' KQK : TO<br />

et nota vocis agu supra vs., & to in ras. A 4 dvo A<br />

/3']<br />

8'v A 5 serai A 1<br />

] [lovddcov aga A 2<br />

A. 6 iotai : po supra notam vocis IWat add. A 2<br />

^<br />

tercet TO: nota voc. IWat mut. in KQK A 8 TOV ^is KQCC TO<br />

p& apogr.] TO x? KQCX. TOV [i& A. 9 didpsTQOv] Swapst, A<br />

10 nota vocis SGTUL mut. in 5 A p, 11 nota vocis IWca mut.<br />

2<br />

in povudcov A UQU post xat add. A 17 duo quadrata<br />

2<br />

et Gn& add. A 18 ai ds corr. ex d.at A<br />

17<br />

cum numeris ^^


DE NUM. PERFECTIS. 45<br />

povddi jm'goug vj dntkaGiKi dvvd^is^<br />

r} diitkatiiKi 6ftAc5g*<br />

XOTS de<br />

ytaGai ovv ai<br />

T&V TtfavQcnv yfvfoovTKi dvvK[ii dinhccGiKi,, TOV<br />

Ttteiovos Kctl &CCTTOVOS rfj avTy fiovddt, ev<br />

TtoiovvTos sis ^o {lyre 5<br />

sv KTtaGcus to<br />

ro yag ty Ttgorega diapSTQm leljtov dvva^ei rfj<br />

Tl TS TG)V aQlyi&V 01<br />

OL d' vrtfareksioi) 01 d' iMiTtetg. xal Tefaioi, piv zltiiv 10<br />

oi rotg avrav [lEgeGiv foot, wg 6 tav $<br />

ccvrov ijiutiv y, TQITQV /3' ? turov a, axiva<br />

TCOist rov g'. yevv&vraL ds oi xitewi rovrov rov xgo-<br />

Ttov. sccv Exfr&iif&a rovg ano povddoc; dLitkatiCovs xal<br />

ov av Evrrai Ttcoro na is<br />

rov x xr^g tfwe&g 7t TOV<br />

oMaTtAaGidG&iiw,<br />

o CCTCO-<br />

(5rai rsAftog. olov iKKefa&GMSav dntkdtiiOi<br />

a /3' d' r[ tg'. GVV&KHLSV ovv a xal /3'* yivtai y' KOI<br />

TOV y 7tl TOV VGTEQOV TOV K Trjg 6VV&6G)$ TCokha- 20<br />

, TOVT(3TiV 7tl TOV |3'<br />

'<br />

yCvTCii<br />

av TCahiv TQEtg Tovg cp^ijg<br />

''<br />

xal TOVTOV 7tl TOV<br />

a xal ft' xccl d' y k'GTai<br />

TG)V T7S


46<br />

itl rov d f '<br />

DE NUM. SUPERFLUIS ET DEMINUTIS.<br />

k'tirai o xr}', og 6n dwrfoog rstews'<br />

rai, x rov ^fittffog rov id', rerdgrov rov ', sfldofiov rov<br />

d', rG6aaaxtudxdrov rov /3', slxotitov oydoov rov a.<br />

vTtsarskeioi ds eltiiv cov ra ftf'p>? Gvvrs&svra [i%ovd<br />

5 i$n rcov oAcov, olov o rav ifl'' rovrov yag riyuGv ztinv<br />

g', rgirov d', r&agrov y, sxrov /3', dcodwarov a', anva<br />

6vvr&vra yiv&tKi i$' 9 og iV TCC<br />

olov o rav rf' rovrov yag ijpuGv d', rfraorov fl', oydoov<br />

f'v. ro avro ds xal np i (5v^i^r\K^v , ov xa&' f'rfgov<br />

Xoyov rsfaiov Z'cpatiav 01 Ilvdayoaixot,<br />

ytol 01 Kara<br />

kfysrai de nal o y<br />

xal pitia. xal Ttsoccg %i'<br />

o d' avros nal yoa^i^ e


DE SONO. 47<br />

qv psyiGrriv %ei IG%VV, iv<br />

[iv ovo'a aK^&Bia., iv fiia ds svdainovia,<br />

iv ds<br />

rfj cpv6i aQiLOvia. xal ccvrrj ds j\ KQpovCa ring stirlv<br />

Iv xoGuc) ovx av evQS&Eir) pr) Iv aQi&[iotg Ttgorsgov<br />

'<br />

%\xi<br />

ititl xal vorjrrj, r\ ds vorjrr] $aov ano rrjs 5<br />

Karavoeitai. vvv plv ovv nsQi rav dvstv<br />

lenrBov, rqg x etfo&rjrris Iv o^yavotg teal r?Jg<br />

iv aQi&notg. psTa ds TOV Ttsgl ndvrov rcov<br />

hoyov rshsvratov litd,o[iv ual rov 7t$l<br />

iv noti^G) aQ^oviag hoyov, ovx oxvovvrfg ra vitb 10<br />

TtQo ri^LKtv %VQr)Hva xal avrol a<br />

Kttl ra TtQoG&fv VTCO rcav IIvd-ccyoQM&v<br />

7Ci TO yVG)QlllG}TQOV %V'yx6vTS Tta<br />

ovdfv avrol rovrav i&vQriKevai cpa6xovTg.<br />

nvvvreq d rivet rcov vnb rcov TCQO ^pav TCaQado&wrcov 15<br />

rc5 fteAAofrt (Svv^eiy ra UAdrcovog avaynaCav xal<br />

rovrov Gwaycoyriv i7COir\(5a^i^tt.<br />

Qa6vA.A.og roivvv Jtfgl Tqg iv ogyavcp<br />

Afyav aQ[jLOVLag cp&o'yyov cprjtilv fivai cpcovrjg iva^^L<br />

rdtiiv. E'VCCQIWVIOS df kByerat,, iitav dvvqrat, xal rov 20<br />

6%og 6%vrQog BVQe^vau xal rov fiagEog fiaQvrfQog'<br />

xal o avrbg xal {lEtfog<br />


48<br />

INTERVALLIS.<br />

tyocpov vaQpovi&v foovpfv, o$ ye xa o<br />

dia rr\v vrtSQpokrjv jroAAajag yLvetai, cos tig (pr\'<br />

jroAAoi> ds pQOvrijs rgavn' dvca^iov co'A(?.<br />

xal ^v l ns ovrcos PCCQVS sfy v<br />

5 ccvrov paQvrQOVy ovx av ovds cpftoyyos sty to SVKQ-<br />

10<br />

\LQVIQV QVK %G>V.<br />

ov<br />

oiov<br />

ivai cpfroyycov<br />

dia row* ovv<br />

noiav v y oiov<br />

olov Avdios,<br />

01 [ilv o $<br />

olov<br />

z/co^tog. KOI rcov<br />

oC dl<br />

15 ots pV 01 rcov vqTG)v, ciQfZs<br />

01 rav vxarcov,<br />

116001 de oC rcov iira%v. rcov de diaGrrHnar&v rcc pV<br />

Gviicpcovcc, ret 6* diay&va. Gv^fpcova yiv<br />

rd r xar<br />

avrtcpcovov, olcv 6u ro dice jtcctfcov xccl rb dig dice<br />

Ttaticov, Keel rd (uccrdy naodcpavov , olov rb dice itvr 9<br />

20 TO did rftitidocov. Gvpcpova dl xard 6vv%iav oiov<br />

rcvos, di


DE PARTIBUS MODULATIONS. 49<br />

oporovov cp&eyyrjTai,


50<br />

DE SONORUM DIFFERENTIA.<br />

o[ cp&oyyot, raig rdtisGiv., snsl ot psv avrciv<br />

OL ds fiaQvrsQQi' at ds rdtisig avrKtv tiara<br />

nvag Aoyovg sfalv acpttQiGyiEvai.<br />

cprjtil ds xal rovg nvftayogixovg Ttsgl<br />

r> T%voko'yiv' STtsl fifAog psv Ttav nal Ttag (pd'oyyog<br />

avrcav ovrco<br />

ri$ itixiv^ avtatia ds (pcsvr\ tyoyog, tyocpog ds ?rA^|tg<br />

TtTsG&aL., (pavtQov cog rjQsniag ILSV<br />

rbv asga OVK av ysvoiro ovrs ^6(pog ovrs<br />

cpcovij, dib ovds (p&oy'yog^ n^^scsg<br />

ds xal<br />

10 ysvo^isvrjg itsQi rbv asga, ra%siag ku^ o%v<br />

b (p&O'yyog) pgadsiag ds (tayvg, v,a\ Gcpodgag {isv<br />

?}^og, rjQSiiov ds fit^og. ra ds rd%r] r&v xivriGEav xal<br />

at GcpodQorrjTsg r} ev hoyoig Titilv aitorsAovvrai, r/ xal<br />

aAo'ywtg TtQog AA^Aa. vitb psv ovv r&v akoycov akoyoi<br />

15 xal sxiiskstg yivovrai ^'oqpot, ovg ovds cp&6'yyovg %Qri<br />

xakslv xvQi&g, r}%ovg ds povoV) VTtb ds TCOV iv kbyoig<br />

Tigbg AArjAoi>g TtokkaTckaGiQig rj sjunogioig YI aTtk&g<br />

'<br />

agog aQi&yiQV supshstg xal xvQicag xal idicog<br />

cov oi {lev AAot povov ^uotffifVot, 01 ds xara<br />

20 rovg TtQcorovg xal yvcoQL^coTarovg xal xvyiararovg Ao-<br />

yovg TtohhajtAaGtovg rs xal STCi^io^LOvg rjdrj xal Ov^Kpcovoi,.<br />

ds c&ooi Ttb AA?Aof cov<br />

A] aUwv Z 3 \6yovg ante loyovg er. A<br />

4 tjpTjai A] fpocoi Z 5 Porph. comm. in Ptol. Harm. p. 193<br />

6 yovv TtSQiTtaTrjTiKOs "AdgKorog TO. Kara rovg HvQ'a.yogBLOvg<br />

vos y^aqpff snel [ishos Ss [iMQog (vs. 12) 6<br />

2<br />

ds Z] om. A, 6 ds add. A 6 ds , tyocpog Porph. 7<br />

v Porph.] cpuvEgbv ds AZ 11 [isifrv A 1 12 rjgsnov<br />

A] r}Q(ict Z, rjQSucciag Porph. 18 aQt&[iov A] v.al Z 21<br />

TtoKKunlaGiovg A] nollanliaGiOi Z sntuoQiovg A] STCL^OQIOL<br />

Z cvficpcovoi, corr. ex. Gvpcpavovg ut vid. A 22 Porph.<br />

comm. in Ptol. Harm. p. 27^0 "ASgctGTOs ds o nsQiTtaTrjTLHog Iv<br />

rotg stg rov Tipcciov Isysi ovratg" cviicpcavovai ds


DE CONSONANTIIS. 51<br />

QOV XQOvG&tvtog 7ti TWOS ooydvov<br />

TG>V SVTKTCJV xal<br />

6 Aowrog Kara nva otxsiorrita xal GvpTtdd-siav 6vvr]%Z'<br />

a, TavTo de d^ifpotv apa xQovOdwTav qdsfa xal<br />

jg xoaGfas %axovTai, cpcovrj. T&V ds<br />

xccra TO %rjs qpftotfp&cpi' tp&6yy&v nQ&xoi {isv<br />

TzraQtoi rd&t, Gvyiy&vovGi agog aMrjAo<br />

ds GviKp&vCav rrjv di' CCVTO TOVTO dice<br />

psvriv, eiteitcc 01 nl^Tttoi rv\v dia itwre, xal<br />

ravra oC TteQikappavovTsq a^ifporeQas rag<br />

oC 5<br />

yivonsvoi d' ait AAtjAcov oydoot, rr\v dice jtaG&V) 10<br />

ovro TtgoGayoQSv&EiGav sitsidr] TO JIQ&TOV ano<br />

&VQKS 6 Ttg&tos xccl pa<br />

vitarri, T& rsfavtaicp xal o^vratcp, rovr^Grt,<br />

avrr\v svgs&rj Gw%


52<br />

DE CONSONANTHS.<br />

ds Tavrccig TQCU, nhsiovg. rrj yap<br />

dt,a TtaGcov rtdtfrjg aAA??g jrpoo'rt'O'ffieV^g, xal<br />

xal [iiovog xccl faqg, f'| dpcpoiv Toa<br />

(pcovicc, olov % rs did jtaGoov xal did rsGGaQav, xal<br />

5 did 3tcc6cov KOI dia nevrs., xal dig dice TtaGcov,<br />

srt, ds<br />

Tta'kiv rrj dta jcaG&v si TtgoGTsfrsir] rovrov rig, olov ^<br />

dig dice TtaGav KOI dice TsGGaQov,<br />

ual em ro5v<br />

dxovovTccc;. Tonog yap rig xahslrai -njg (povrjg ov<br />

10 diB^BQ^erai ditb PCCQVTCCTOV nvog d^a^rrj QOVVTO,I dicccpooai.<br />

yap sni TOV Aoyov ual Trjs S'yyocc^ccTOv<br />

OVTCOg Ovdf V TOO ^Jl^l XCiTCC Tt]V<br />

20 (pavrjv ovd' iv TOO TavTqg TOXOJ Ttag cp&oyyog<br />

Toonovg Tivdg<br />

1<br />

[j,[iA,g 7toii did6Tr}iicCy AA' cog<br />

6 ty dig dick KKGCOV A 2 et Bryenn. p. 394^<br />

ft prmo om. , turn add. A, deest in Z 8 6/Ltoi'cog A] ovrcag<br />

Z 9 cf. Aristox. p. 18, 27 Marq. Vetter additam. ad. Steph.<br />

Thes. p. 24 y^ OVTCOS on 6 T7Jg cpcovrjg ronog KTCO<br />

r/<br />

rccrov uQ^Kfievog KKTK TO f^rjg snl TO d|v SLEIGIV r}<br />

dno O&VTKTOV enl TO PKQV nig. A 12 TOVTCQV<br />

CLV fort. del. 13 sq. TO Jju-ju-^cog -- ngoKOTtTSiv Z]<br />

corr. in U Z<br />

j] 8(ji(i8).rjg nQononr] A 14 ccMa A]<br />

17 cf. Aristox. p. 38 et 52 Marq. 19 Y.UTK TTJV Z]<br />

oni. A


DE GENERE DIATONO. 53<br />

TOV $ fayoiiwov TQTCOV rrjg cpcovrjs teal TtavTos tov<br />

v TOVTCO dt,a6TT^(jiaTos yvcoQi^icoTaTov ^iQOs T xal [<br />


54<br />

DE GENEEE CHEOMATICO.<br />

In akkov TtaQaywrjTai, (pfroyyov, ftov^o^ievrj Kara TO<br />

^TJS TtQOXOJtTEiV fi^Ac5g,<br />

OvdfV TOOV ZlVa<br />

dLaGrrj^ia ovds Tcgoevl'yxKGd'ai cpdoyyov Toov<br />

%al 7jono()iiVOV) y Sia


DE GENERE ENARMONIO. 55<br />

jj TOV em TO 6%v 7te$iB%QVTa rb itgcotov TTQa%OQdov,<br />


56<br />

DE INVENTIONS<br />

d dv^iis^cpdrirorarov xai, cog Kivog<br />

xal Jto^rjg do^ivov Gviwi&eiag, o&ev<br />

ovd' ig %QT]


av ro r&v<br />

rs rov [Lrjxovs<br />

CONSONANTIARUM. 57<br />

6(iy, s&rdaas rovs Aoyovg did<br />

Jtd%ovs rav %oodc)v, su ds rrjs<br />

xard xr(V 6TQO: cf. p. 59, 12.<br />

60, 19. 65, 13. 12 excidit fort. TOVTO<br />

10


58<br />

DE INVENTIONS<br />

rc5 dl cljto r&v dvo, rovrEtin rw ano rr\g<br />

V *' n<br />

Sia f' / \\ 8ia nccGcov / \ $1*


CONSONANTIARUM. 59<br />

xccl r\ 6 IK nevTE xal rj dice Jtatiav, xccl 6<br />

ro$ Aoj'og xccl iJfuoAtog xccl duihaGios xal TQiitkatiiog xal<br />

TavTag ds Tag 6vpcpcoviag OL ^ev djtb ftaocov 'r<br />

, of de dnb [teye&av, OL de ano xwytieant 5<br />

[xal a.Qi&iiLG)v\ , 01 ds anb ayystov [xal ^sy^^v}.<br />

AaGog de 6 'EgfUOVfvSy &S


60<br />

DE INVENTIONS<br />

Ttobg rrjv srs'oav Cv^icpoviav ri]v dia TtaG&v<br />

ore ds rb rgirov [is'oog aTtokaiifidvoi, TO. Aowra<br />

nobg trjv &GQUV ryv dia nsvrs Gvpcpttviav<br />

ds not snl rrjg dia rstiGagov' xal yao sjtl ravrrjg<br />

r&v ftogdav ajtoAccptov rb tzragTov [isgog ra Aoincc.<br />

rqv STSQCCV GvvYiTtxw. o drj xal STtl rrjg<br />

itOii Kara rbv avrbv koyov. 01 d' KTto<br />

tecs (fvfupcovfas favfipavov,<br />

cutb dvelv<br />

ccQr] Kara rovg etgrififoovs Aoyovg, 01<br />

10 KTtb rcav [irixcov., xal rav<br />

rag (jv^tfpovLas iv rats<br />

ds eivai, cpavijg TtrciGiv inl \iia.v rccGiv.<br />

(putiiv avrbv avTG) dstv eivai rbv (p&oyyov %al<br />

15 eka%i6rov Kara diacpogdv, ovx ex diacpogav rdosov<br />

oiov fiaQvrr\ro xal o^vrrirog. r&v ds cp&vcav ai [isv<br />

olstat, ai ds paQslat,, dib xal r&v (p&oyy&v, 6<br />

[lev ovs ra^vg sGriv, 6 ds fiaQvg j$Qadvg. si yovv Sig<br />

dvo faona%sig xal tGoxoihovg g)> rsryrjusvovg slg<br />

20 6vQiyyo$ rgonov, cov rov srsQov diTC^aGiov s6ri rb<br />

[irjxog rov srsgov, &(upv6'q6at rig, avankar ai rb nvsvpa<br />

rb sx rov i][JLi(jsog [iijxovg dirtkaGiG) recast<br />

xccl (yivsraiy Gvufpavia y] dia itaGav pageog<br />

g&6yy v T v dw TOV [ist&vos, o&og ds rov dia rov<br />

4 rijs] rov A 9 of 3' ano TOJV ft^xcov dnofpatvofisvoi,<br />

fort. del. 10 post logdoiv excidisse videntur verba Sicccpog<br />

liQrj dno^cc^ovTss similia<br />

yel sn^sGav A, em. Bull. cf. p. 5<br />

25 11 w post rag erasum A roig %OQ6oi


CONSONANTIARUM. 61<br />

A.drrovoS' ai'nov de rd%os re teal pQadvrrjs rijs<br />

xal Kara ra aTtoGrrjitara de rcnv sv rots avhots<br />

ras 6vpL(pG)vias ctTCedidotiav xal 7tl IPOS.<br />

v yap dirigriiLsvov xal rov avAov oAov spcpvGrj&<br />

rov Kara ro TJIILGV rgrftiaros to dia TtaGciv Gvficpovov 5<br />

^


62<br />

DE EATIONIBU8<br />

e


CONSONANTIARUM. 63<br />

Ttoog TO. #' GviLrtkrigovTat, Ao^og iJfUo'yUog TG>I/<br />

t/3'<br />

^ Mv txti T0 ^ v ^"* xaGcov sv diTthccGico<br />

oyco, TO ds dice TSGGCCQCOV sv STtiTQiTco,, TO s% ayupolv<br />

sv Aoycp TCOV r[ ngog TCC y' TOV plv yaQ y iitix^ixa<br />

TK 6\ TOVTOV dl dlllkuGlK TCC If]<br />

. TO 8\ diCC TtatittV KCil 5<br />

dice jcevTS iv Aoyco T^ntXcLGiovi' o yap j^oAtog xal<br />

diitAdaios 6vvTid-e{isvoi TOVTOV noiOvGiV rjfiiohos ^ilv<br />

yag 6 TCOV 0-' agog TCC g', diTthaGiog ds 6 TCOV ir[ agog<br />

TK &' xcd yivsTca TQiTtAaGiOS 6 hoyo$ TCOV ir{ TCQOS TCC<br />

g'. opoioog de TO dig dice nccGcov ev Aoyco TSTQCCTtkaGiG)' 10<br />

ovTog yaQ GvyxsiTca ex dvo diithcctiicov' TCOV {isv ya$<br />

g' diJtkccGicc TCC if}', TOVTOV ds TCC xd' , TCCVTOC ds [TO]<br />

Tcovg. rf pccMov , cog KCIT* ao%ccg<br />

TQiltkatilOg STtiTQiTCO TtOiSi<br />

ds TOV {isv dice Ttaticov xccl dice TCSVTS TQuikcco'iog 6 is<br />

Ao'yog, TOV ds dice TSGGCCQCOV STtiTQiTog' ^ ayupoiv ds<br />

TovTOiV TO dig itiTi dice 7tcc6cov' sfaoTcog ovv TOVTO sv<br />

hoycp cpccivsTcu TSToaTthccGico' TCOV [isv ya$ g' TQiTtkaGiK<br />

TK ir\ ', TOVTCOV ds STtiTQiTCC TCC Xd' , CCTiVCC SOTi TSTQCC-<br />

TthdcGiCC TCOV g'. Xal TtCchiV TCOV [ISV g' STCiTQiTCC TCC Tf]^ 20<br />

TOVTOV ds TOiTtA.CCO'iCC TCC 3fd' ? K S6TL TSTQCCTtAaGiCC TCOV<br />

g'. Kttl TCt % TOVTCOV ds 6VVTi&S[lSVa SV TOVTOig SVQS-<br />

Tolg hoyoig, scp' otiov av Tcgoccydycopsv TCC<br />

o ds UkccTcov xal ysvog diccTOvov xal 6v6Ti][iccTog 25<br />

psysftog snl TO TSTocexi'g<br />

1 6Tl TCC<br />

y, 01$ V7CSQSXSL 6 10<br />

dice 7tcc6cov xal dice TTSVTS xal<br />

TOV -9" ft<br />

TS&r) A 1<br />

) Totg ^, yivstui i^, OTIEQ sctlv rj^Lohos mg. A<br />

11 OVTOS corr. ex OVTCOS A 25 JIAarcov: Tim. p. 35 sq.<br />

cf. Procl. in Tim. p. 192 A 26 li] slvai A Tsr^axt A,<br />

ern. apogr.


64<br />

TOVOV<br />

K) OV<br />

DE NUMERIS ANIMI MUNDANI AP. PLAT.<br />

. si ds ksyoi<br />

T060VTOV XTlV<br />

7tl TO dig dia naGav KOI dia<br />

avrov TtokvTQOTtov diay^cc^arog<br />

-.if<br />

naacov A Sta nceccov<br />

5 6s V8&TSQOI TO 7CVTXCudXa%OQ8oV TQOTtOV<br />

7tl T( Tlg dt itaGav xal TOVOV<br />

Tg ovrog<br />

Tovg<br />

TY\V<br />

ro rov<br />

, 01<br />

TOVTCOV<br />

primani fig. levibus differentiis bis repet. A 2 vel recentior<br />

manus 1 cf. Marquard p. 223. 253. Boeckh kl. Schr. Ill p.<br />

158 sqq. de metris Pind. p. 213 2 SKTSLVKS ut vid. A 1<br />

4 TtSTtotriTctL: r\ corr. ex ft A 5 TO v.a.1 I xgdnov (i<br />

A 6 inl TO dig diu nciomv SieGTrjKOs Bull, sed cf. Procl.<br />

p. 192 B 8 snoiovv: ovv ex corr. A


CUR MAIOR NUM. GRAVIORI SONO ATTRIBUATUR. 65<br />

rovg axovovtag svyv&Gtas KgtvEiv, Fttdrcov tie 7tob$<br />

yvGtv OQ&V, STtsidrj r^v tywtfi<br />

CtQpOVLaV ^%(>t T&V<br />

XCtl dvGi tfttt/apfiojftf-dm [lEGorytilV , OTtOg ltt<br />

h&oiaa TOV rekeuov GTSQSOV KoGpixov Gapa- 5<br />

ro$ rtavtnv avri^TCTiKrj ysviJGSTai, r&v ovrav, KCU rr\v<br />

aQpovCav avr^ ^%^t rovrov 7tQoayrio%, rgoitov TIVK<br />

xal XCCTCC IY\V avrrls cpvGw in ajtsigov vvK\Livr\v<br />

TtQOiEVCCl.<br />

cprjol d cm nal rovg nei^ovcts agi,&iiov$ trotg PKQVTS- 10<br />

QOig cp&O'yyois oixslov KTCodidovai^ XKV iit SVLWV dofcy<br />

rd(ja)v diay&vsiV) oiov iitl rrjg rccGsas rijg yivofisvr^s<br />

dia rijg s^aQTrjGscos rcov jSa^coi/. dvo yccy i'Gcov TO rs<br />

xcd 7td%os ftogdciv xal rakha o^ioiov ro jthstov<br />

dia ii]v TtkeCc) TKGLV tov O^VTSQOV noiriGei 15<br />

cpfroyyov. ejtel yaQ ro rthstov ftdoog nKsio tatiiv Ttoiel,<br />

rr\v e^w&sv itQoGdCdKXSi dvvapiv TG) XCCT' avrbv<br />

tp&oyycp) ekattova dice rovr' %ovti rr\v tdiuv<br />

i


66 CUR MAIOR NUM. GRAVIORI SONO ATTRIBUATUR.<br />

TtQoGdnrovra rats %oodalg aG&svsiav TtaQaGxsvd&i, cog<br />

[ir] gadicog xivEiG&tti [iqds frdrrov rthrjrrsiv<br />

rs xal sldo-<br />

jtoittv nksiova ovra rov TtSQit, dsga. dijkov ovv [ort]<br />

cog 01 fiaQvregoi cp&o'yyoi rr\v avrcov ofaetav dvva^iiv<br />

5 Kara rov itksico xsxrrjvrai dgi&iiov. o^oia ds eGriv svgslv<br />

y.al sjtl TCOV fyitvevGrcov ogydvcov. KCCL ya$ rcov iv<br />

rovroig (p&oyycov oi fiaQVTSQOi, diet TO nqxog xal<br />

svQvrrita r&v TQrnidrcov nheov etdoTtoiovvtsg rbv<br />

r} vrj /iitt ry\v avsGw rov nvsv^iarog cog iiti<br />

10 rj rrjg a^rrigicus^ CCTOVCOTSQOI, nccl aG&evsGteQQ<br />

Tr\v KVTCOV olxsiav dvva^v $%OV


DE LIMMATE. 67<br />

rovog, ort [ie%Qi TOVTOV<br />

vovGa rj cp&vr] TOV $t(?rij/Lirog dnAccvrj TTJV dxorjv (pv-<br />

ka.66i. to ds [iTa TOVTO OVKSTL ol'a rs r] dxor] xabg<br />

dxQif$iav Aapetv TO diaGtrnLcc. dusAsi rtsgl TOV efps^rjg<br />

xaAoviiVOV r][iiTOViov diatpfoovTai,<br />

r\\i,iXQviQV avrb ksyovtttv , rav ds<br />

ds TO din tsGGagav , o itiriv<br />

re) rove), iQvrititi rc5 Bitoydoa 8ia


68<br />

DE LIMMATE.<br />

ccvrd, v0ttfxofti/ d', eira ra. r[ tnl ra 0*', xal yivsrai<br />

o/3', ira ra &' (p avra, xal yivsrai jta'' if & d'<br />

o/3'<br />

ita ''<br />

fira itaKiv rovrov Ka6rov ^(pd-^ro rotg, ual<br />

k'tirai ra ^ev |d' rolg o*2/3', ra d o/3' rots tftg',<br />

'<br />

ra df<br />

rotg 6\iy' ano rov o r<br />

i/3' 7fir^irov rov<br />

G)6r ivai rijv K&()iv roiavrv}v '<br />

f'^ccydoog<br />

oK ^'? dvrQOi litoydoou |d' o/3' 7ra' 5 rott<br />

doot aAA^Acov dvo 0*2/3' o'tg'' o'fi^',<br />

10 0^/3' fTtirgirog o 6v% ^ eGrai rovro ro<br />

^<br />

vjto dvo rovov nal rov<br />

Ki6i<br />

'<br />

uccl ravra<br />

6V?<br />

O-lloV $ TlQOGrL'd'SfJiSV TOV ^V? 6$<br />

sari rov p 1<br />

!^ STtirgiros mg. A 8 dvo sepsis snoydocov ovrcov<br />

tov J-d oft ~JTK, STtsl ft?7 e%i, InitQirov 6 |d ov sSsi /Ltero: "jra<br />

ts&rjvai nffte yevsaftcci TOV Sia d, ftnoroog rovrois (scr. TOVrov?)<br />

/ifr vnsQsprjfiev, rots (scr. TOVJ)<br />

rov ghfi ~cl% o^iy '<br />

tan yccQ rov ghfi snirQiros 6 GVZ , 6<br />

tqirov OVK I'XSL mg. A 12 cf. Procl. p. 194 D rov] rmv<br />

A 13


DE LIMMATE. 69<br />

TTld' 3 OV IrtLTQLTOg 6 V


70<br />

DE DIVISIONE<br />

rf] axofj TCCVTK XQWOVTBS vopitpvGiv. apeliei, TOV<br />

feoyfioov Ttv&iiEvos TO dittGrrjiia TOVTEGTI TWV &' Ttobs<br />

TK r[ T\ pova$ ov re^vsrccc. rb ds teyoyiwov Affy^ta si'<br />

TLS EQ&T&ri TWOS etixl Affyi^a,<br />

det zldevai on l(5rl rov<br />

5 dt,a TEGGccgcov' rc5 yag dice xeGGctQwv ktiTtEi Ttgbc; rb<br />

ysvlti&ai dvo riyuGv rovcov rehsiov.<br />

svQE&r] Ss o rovog ovrog. snsidr] TO dice TSGGKQ&V<br />

iv litiTQiTcp koya (pdvr] ov , TO 6s dia TISVTS iv v\\iio-<br />

Atw, EA.ijcp&ri aQi&[jibs w^MDWg %G)V rjfiitiv xal TQITOV '<br />

10 EtiTl $ OVTOS Z. TOVTOV iTtlTQlTQ ftfV


ovog 6 ftfV rtg voricuQ6i roicc iGrt^ dvo pew ra 10<br />

diaiQOV[iva, roirov ds rb E^CHQOV^LEVOV. rcov 3s dicci-<br />

Qoviievcov KTC avrijs rijg diaiasGsag cog 7tl noiovos iv<br />

rri ro^ifj avakovraC n rb e^cuooviisvov vit avrijg rrjg<br />

ro[irj$. cog ovv iit zvi&v ccfafrqcmv QaiQtiraC n,<br />

ovrco xal iitl Ttavrav KKV bupsvyft rrjv afa&nGiv itav- 15<br />

rcog avcdcrfhqffsxat n iv rfi ropy, doov yovv<br />

rj AAo bnovv ufa&ifrbv ^xog av nglv rj<br />

ftfrpTJtfflg,<br />

s'jttira dtf'A^g sis noMa fte'pi?? Bvpfoeis rb<br />

r&v dicciQOviisvav Ttdvrav notvbv per^ov b'kctrrov ov<br />

rov oAov Jtolv rj di^Qrjad'ca. hi %oodrjv av disA,rjs 9 sira 20<br />

tiicacoilrfls, ij sxrccGis percc r^v diKKonriv tevsi$Qcqu,<br />

xav<br />

nv.Kiv ra diaxottwra rstv uvam curr&at n rov<br />

3 6 add. A 2<br />

10 sv corr. ut vid. ex in A 11 TCOV<br />

TGJV yKQ ? 14 TOVTO SVCCVT^lOVy TOO 1J\V do&L6UV 0"f ICiV<br />

(lV^VGQ'Kiy. SI ycCQ "AUTKV^a.ykiG'AK'CCiC<br />

XI<br />

7t


72<br />

DE DIVISIONS TONI.<br />

sis vac; Qafyeig r&v exarsQCod'EV ay&v rov<br />

xal dia rovro ovx e'tirat, rehsia dvo ^t-<br />

rovia. ov {irjv ovd' sjtl rcov cpcovav evgfaxerai, eig fact<br />

Y] ropy rov rovov. jieAead^'tfas yao rovov xal rovov<br />

5 /ifAcxJeo itaKiv rov vbs rovov ra dvo rj^rovia iv<br />

cp&o'yyois, dval ds dia6rrnnK6LV


QUID SIGNIFICET AOrOS. 73<br />

rsgav fayopsvog xal b svdid&srog xal 6 iv diavoCa<br />

xsipevog avsv cpd-oyyov xal cpcovrjg xal 6 rqs avaAoyiag,<br />

xa& ov Asysrat, s%t,v koyov rods Ttgbg rods, xal rj r&v<br />

rov koyov Groi%siav anodotiig xal 6 rav n^covrcav xal<br />

nn&iLSvav, xa-fr' ov (papsv koyov TWOS %siv ^/ p? f^v, 5<br />

xal 6 tQaTtsfytiKOS Aoyog xal 6 iv T /3t/3A6co /}r\\LQ


74<br />

DE RATIQNIBUS.<br />

yevrj dvvarov, oiov pyxr} Tt^bg ^r\xri (xcciy ejcfaeda<br />

ZTtiitsda xal Greyed yf^bg Gregea xal ftdgr] TtQog ftdgrj xal<br />

vyoa TCQog vyga xal %vra Tt^bg %vra xal ,rjQa<br />

xal aQifrpovg Ttgbg aQL&iiovg xccl %QQVQV itgog<br />

5 xal Kivy\6iv 7tQO$ Kwr\6iv xal (povriv<br />

%v[ibv agog yvyiov xccl %Q&iia TCQOS %Q^K<br />

ccvrov ysvovg ^ sl'dovg ovra xcos %si<br />

OQOV$ ds heyopev ra biioysvrj y o^iosidrj<br />

xal 060, rov<br />

i$ GvyxQitiiv, oiov otccv Cfx&tr&fif&a riva, koyov %si<br />

10 rakavrov Tt^bg H.VKV, o^oyEvsl^ ogovg cpcc^sv rb rdkav-<br />

tov xal rrjv pvav, on a[i


DE RATIONIBUS. 75<br />

o rs dutkatiiog xal 6 r^TrAatftog xal 6<br />

, iv de eya^OQiOig ^fuo'Atog fWr^trog, iv<br />

ovdereoc) de o rs enoydoog xal o r&v 6v$ agog 6py,<br />

xal oi rovroig vxevavrioi o re vitodiTtAaGiog xal o vjto-<br />

rQirtkaGiog xal o vitorerQartkatiiog xal 6 ixprjuiofaos<br />

6 VTtSTti'tQitos ^al o vitenoydoog xal o rav<br />

GVC;'. xal o fifv diTt^a^iog iv rr\ dia Tcatiaiv<br />

xal 5<br />


76<br />

ndfav de xccra tr\v<br />

DE BATIONE MULTIPLICI.<br />

rui oo> rcoV aptatyicoV, cog xal 6<br />

01 per jroAAajrAatftot, 01 de fjrtfto'ptot, 01 d'<br />

Oi de JToAAajrAatftftft^OptOt, 01 de TToAAaJtAa-<br />

5 6i7ti,iis()ts, 01 d' ovdhegoi,, r&v ds Eharrovcov 01 {ilv<br />

V7t07toM,(X7thd


DE EAT. SUPERPARTICULARI. 77<br />

itinv orav b {istfav TOV IkaTTOvog TavTqv %r] rr\v<br />

v7tQO%riv, %ti$ rov IkaTTOvog aQi^^iov pfyog amV. cog<br />

q TTQag T^g TQiddog' v?tQ%t, ya$ avTrjg povadi,, ijrtg<br />

Gtl Trjg TQiddog TO TQITOV' xal r\ %ag rijg TTQcido$<br />

V7tQ%i dvsiv, ativcc rctv t6


78<br />

DE RAT. SUPERPARTIENTE,<br />

OL iiiov$. TCSV d* iitipOQtcato hoycov TCQWTOS not<br />

yitiTQs o ^fuoAtog, on dq xal TO ij[ii,0v<br />

xal piyiGrw xal syyvrdro rc5 oA, [IETK<br />

7rnrptro, xal o 7tiTTaQTOs,<br />

5 gov r\ Ttgoodos asl iit ekdtrovog.<br />

ds TOVTOV o<br />

xccl OVTCO itdkiv iit ansi-<br />

7ti[ieQrjs de i


MULTIPL. SUPERPARTICULARI, M. SUPERPARTIENTE. 79<br />

avTov, cog o yLv TCOV % dig e%ei TOV y xal TI TQLTOV<br />

avTov, xal kiyztui avTov diithatiifTtiTQiTog,<br />

6 ds TCOV<br />

&' dig %(, TG)V d' KOI STL TO TTaQTOV aVTOVy<br />

klyTai ds di7tha6i,7UTTaQTog, 6 ds TCOV i Tolg %i rov<br />

rcov y xal TO TQITOV CCVTOV, xal Kiysrai rptTrAatftfJUtptrog. 5<br />

&G)Qei6&G) OTKV<br />

6 kuTTG)V XaTCClT)COV TOV<br />

o


80<br />

I>E RAT. NUMEEI AD NUMEEUM.<br />

cog 6 T&v id' rov TQJV y' 17 yap roiccg<br />

rbv T03V id' ovx I'6%v6v artaoT faai ,<br />

rsTQaxig ii%Qi r&v if}' rr\v kontriv anb rav id' a<br />

dvada, ring itirl r&v y 8i[ioiQov 7 a dy hfysrai dvo<br />

5 TQita. avrixeitKi de xal TK> 7to^K7C^aOi87ti^QSi 6 vno-<br />

v ds agog ciQi&iibv Xoyog ititiv^ orav 6<br />

rov i'ka.rxQva. iv [irjdsvl f] r&v<br />

xa&K dsix^^stai<br />

xal 6 TO<br />

i<br />

10 [


DE RATIONS ET INTERVALLO. 81<br />

xal iv rots ETtipoaiois. fjiiioMav ftev Adycov Ttgazos xal<br />

o TOOV y itQO


82<br />

DE PEOPORTIONIBUS.<br />

v iccysQOvGi, povov, T] xctTa TO {isog Kara itoio-<br />

xccra frsGiv ^ aAAeog bxeoGovv. dijhov<br />

OTL Adyoff diaGTqiiaTog stsgov' TO yap<br />

ds xccl<br />

Jtgbg to diTtAccGiov (xal ro diitkaGiov Ttgbg to r^<br />

5 Ao'yov [iv ov TOV avtov f^ft, diaGxrftiK ds ro avro.<br />

ccvKkoyCa d' 6x1 itfaiQVtov Aoyav o^otor^g ij ravro-<br />

r^s, xovTEtinv iv nkeiotiiv ogoig Aoy&v ofiotoV^g, orav<br />

ov %ei hoyov b Ttg&ros nobs tov dwrsgov, TOVTOV b<br />

dVToos ytobg rbv roirov rj aAAog rig nobs<br />

10 hsyfrai, df r\ fiv cfvv%ris ava.Ko'yCa^ rj ds<br />

6vv%rjs (Jifv 'Y] iv &a%foroig rgrflv o^otff,<br />

df YI iv A,a%i6rois tiGGaqGiv. olov fifra XT\V iv<br />

0001$ ccvaAoyiav 6vv%i]s *v A.a%i6rois oooig xarcc<br />

TO dianhaGiov d' ft' a' b'tin yao cog $' itobg /3', ovrog<br />

15 ft' ytobg ev. dirjorjiievr] ds c;' y d' ft''<br />

S'GTI, yaa cog $'<br />

7tobg TCC y', ovTcog d' itobg ra ft'. TO ds avrb xccl enl<br />

TCOV aMcov 7toMcc7tha6iG)v. h'tiri ds TQOTIOV TIVCC xal rj<br />

6vv%r}g iv TsrraQtiLV oooig, dig A.ct[iftav6[ivov TOV<br />

ll()OV. XCcI 7tl TCOV 7tl[lOQLG)V $ 6 aVTOg Ao'j>0* 6VV-<br />

20 %^g [tv dvaAoyia iv Aoyw r^Lio^Ccp<br />

ds 0"' g' L i . 6 ds KVTog xal iitl TGOV ahAcov<br />

6 ds'EQaToG&evrjg tprjGiv, on Tijg<br />


DE AEQUAL1TATE. 83<br />

Kal rrjg yVGog alria naGi rotg pr] araKrog<br />

votg. avakoyia ^Iv yaq naGa K Ao'yoi/, kbyov<br />

ds a<br />

rb i'Gov. dri^ov ds ovrcog. iv exccGrcp rav yev&v I'diov<br />

Gri xi Groi%iov \Kal aQ%r[\^ stg o to. AA ccvaAvsrai,<br />

CCVTO ds elg [iqdev sxsivav. avdyxTj dq rovro adiaige- 5<br />

rov eivai xal aro^iov' to yaQ diaiQSGLv xal ropqv em-<br />

de%6[isvov GvMaflri heyerai, xal ov 6roi,%etov. ra psv<br />

ovv Tr^g ovGiag Oroiftsia Kara ovGCav adiaiQExa sdri,<br />

ra ds rov TCOLOV xara rb Ttoiov , ra ds rov noGov Kara<br />

rb noGov. oAog d' suaGrov Kara rovro aro^iov Kal V, 10<br />

xa&b 6roi%i6v itiii Gwdsrov nvbg rj \LIKXQV. rov<br />

ovv noGov 6roi%slov ^ povdg, rov ds TtqlUxov<br />

Ao'yov ds Kal avakoyiag foorqg. ovrs yag povada sri,<br />

eGnv slg rb notioV) ovre tiny'p^v elg rb JtrjM-<br />

) ovr faonfta ig nkeiovs hoyovg. ywsrai df aqifr- 15<br />

plv K fiovadog, yQappri dl K Gnypris, Aoyog df<br />

Kal avakoyia % t^oT^rog, rgonov $ ov rbv avrov Ka-<br />

Grov rovr&V AA povag {iV TtokkaitkaGLa^oyisvYi vcp'<br />

Zavrrjg ovdfv ywva (og 01 akkoi aQi&[iot, rb yag aita^<br />

v V Kara Gvv&eGw d av&rai [ifygig fig aTtfigov' 20<br />

rj df ovre Kara TtokkaitkaGiaGyibv<br />

Kara Gwiiav vslGa r Kal<br />

ovr Kara Gvv-<br />

$ Gapa. Kal [irjv b rav i'Gcov hoyog OVK av&rai Gvv-<br />

n&[iEvog' TtteiovGov yag i'Gav f^ ri&iiVK>v 6 rijg 25<br />

ciderunt aequalitatis commemoratio fuisse videtur: cf. p. 107,<br />

10 sqq. Ill, 12 1 ctQ%rj post nqiaxri add. A 2<br />

, n^arr) TTJS yevs-<br />

cfcog ulricc Bull. ncti ante TIO.GI add. A 2<br />

4 post xcu una<br />

lit. er. A 11 [IIHTOV corr. e^ fitxrov A xi SKUGTOV ysvovg<br />

6TOt%tOV Y.&1 (XQ%7j Xttt TCCOJ SK TOVT03V TOL$ % UVTWV 7]<br />

mg. A 20 d SGTLV V ante yiuxa del. A<br />

6*


84<br />

DE PROPORTIONS ET MEDIETATE.<br />

itQio%ijs Ao'yog ev fooTqri, $La^lvi.<br />

dtb ual<br />

rrjv 6tiy\M\v py ivai psgos yQcc^rjs nqde rrjv<br />

, rqv psvroi [lovdda aQi&pov' [lovy yap<br />

nva av^Giv. ainov de rov<br />

5 Af^frog, on iccGraros a^ioi^og faotys, xa&diteQ<br />

xal ^i Griypj] pS'yed'ovS'<br />

sows ds o nhdr&v ptav oi'eti&cci 6vvQyv\v eivai,<br />

rr\v sx rrjg avaAoytag. sv rs yctQ TGJ 'Em-<br />

yY\6iv' aitav didy^a^a agi&nov re


e sA&siv 7tl xa i<br />

DE RATIONIBUS CONSONANTIARUM. 85<br />

prj xooxsoov lAdovxa iiti xa /3' xal<br />

to. y xal ra d'. AA' ovdsv xovrav ava^oycog s%si Ttobg<br />

ra axoa. TO yao V ovx sv xovxa 6rl rc5 Ao^w nobg<br />

xa ($', iv 03 xa ft' 7tgbs ra y'' o[ioiG)g xccl iitl rcov ft<br />

xal y xal d'. ra ds iv rco avrc) hoya ovra xal {itGa 5<br />

av i'rj, olov zv ft' d'* uvaKoyCa r yap Itiriv rj rov di,-<br />

) xal ra /3' {iKtia rov vbg xal r&v d'.<br />

avahoyia ds 6 [ilv SQativMog


86<br />

DE RATIONIBUS CONSONANTIARUM.<br />

rjpiohd s6Tiv sv TOO dice itevTs, g' ift' vt\' ra ds xd' agog<br />

g' sv TG) dig dice itati&v. TCC ds & TOJV sv r\ TOVG). TCC<br />

ds eft' TCOV &' dice Ts66a()G)v. Ta ds ift' TWV r{ sv rc5<br />

dta itsvTS. fa ds irf T&V & dice TtaGojv. ra ds K tav<br />

5 ir{ dia nsvrs. (SvvscjrrjKS ds TO dice itatiav i$ xgog g'<br />

sx TOV rtfuoMov & agog g' xal iitir^irQv i$ itgog &<br />

xal itcthiv fflrioMov i$ Jtgog r[ xal sniTQirov r{ agog g',<br />

xccl ra itf Ttgog


'<br />

SECTIO CANONIS.<br />

yiverai Q^fi. rovrov litiiQixu. rcc 6v$, anva<br />

%si rbv roi Act^ftaTos Aoyov, c$ fan itheicav rj<br />

cv


88<br />

SECTIO<br />

ds rrjg dicuQstisag ysvoiievrjg % vs VTcdrrj rcov<br />

fis6cov xal TI vqTrj disfevypsvav yivsrca. stin ds y per<br />

vrirri dis^svypevcov itobg [isv rr\v {isGrjv sv TO* dice nsvrs'<br />

dvo ydg i dice Tta-<br />


CANONIS. 89<br />

agog {lev nQOGKapfiavopsvov sv rc5 did rs66asnl<br />

rb /Japv, ngbg ds rrjv psGrjv iv rc5 did nsvrs<br />

sjtl rb o|v, TTJS d' vndrrig rovcp VTtsQs%st, xard rb<br />

ncti k'tinv I'GOV rb rovicctov iisysdog rijg<br />

rqv vjtarr\v xal rb diic rstiGagcav rrjs vjjtvjs<br />

r\v vv\tr(V vytsQ^o^cciov. xal O<br />

01 a^t^ot rav jav^scov rotg<br />

dicugeGecos] i&v dwaryparcov. d^Aov d' av ysVotro TO heyopevov Inl rav a<br />

di,- 5<br />

KQ rb rov xctvovog iieys&og ifi [tergoov bitoiavovv, 10<br />

phv iieGrj di%a diaiQE&efaris (rrjs<br />

xccl a


90<br />

SECTIO<br />

rgirog b rov dia rsGOcegaov, rrjg ds ^s6rjg g' ngbg y<br />

diTtAaGiog o rov dia TtaGeov, (rrjg ds vndrrjg 17' 7tgbg<br />

y dirtA.a6iS7tidirQirog b rov dia TtaGoov^<br />

gojVy rrjg ds VTtsQvitdrrjg -O1<br />

'<br />

xal dia rstitid-<br />

ngbg y rgmkaGiog<br />

5 dia TtaGojv xal dia nsvrs, rrjg ds ohrjg rov rtooc<br />

vopevov t/3' Ttgbg y rsr^anAaGiog b rov dig dia<br />

7tgbg ds rj]v v^rr^v dis&vypsv&v b hoyog sGrl rrjg<br />

lisGrig $ Jtgbg d' qiLiohiog b rov dia itsvrs, rrjg ds<br />

b rov<br />

rqg r[ agog d' di7tAa6iog b rov dice jtaGav, rijg ds<br />

10 VTCeQVTtdrrig #' jcobg d' (di7tha6iS7CirsraQrogy b rov dig<br />

dice TtsvrSy rrjg ds oArjg rov nQoGhapfiavoiLsvov ifi Jt^bg<br />

d' (rQi7tA,a6iogy b rov dice itaGciv xal dia rtsvrs' itgbg<br />

ds rrjv iisGqv rr]g psv vitdrrjg v\ nobg g' STtitQirog b<br />

roi dice rsGGdgcov, rrjg ds VTtsQvxdrrjg &' JtQog g' ijju-<br />

15 oAtog 6 rov dia itsvrs, rrjg ds ohrjg rov<br />

pivQv ifi TtQog g' dinhatiiog b rov [dig] dice<br />

7t$bg ds rfjv vnarriv sGrlv y psv vTtSQVTtdrrj O1<br />

'<br />

sv ETtoydocp Aoyw tG> rov rovov, r\ ds oA?? rov<br />

fiavofisvov i$ TtQog r\ sv rjiiiohiG) (rat rov dice<br />

20 TtQog (dfy rrjv VTCSQvndrrjv r] oA^ rov TtooO^a^i<br />

3tgbg r[<br />

vov i$ Ttgbg & sv STtirgira) rov dice rsGGag&v.<br />

dvri7tS7t6v&a6i d' ai koiital rcov xivrJGsav xara<br />

nvxvov rov STtoydoov rovov xal smrgirov dice rs66a-<br />

2 lacunam suppl. apogr. 5 7tQOG).


CANONIS. 91<br />

v dia items rov KKVOVOS-<br />

sitsl TO<br />

Atov {iv dt,a 7tvr rov sitiXQitQv dice rstitiagav<br />

vitQ%t, - - olov hriog TO<br />

sv Aoyc) eitoydoG) , TO d' sjtiTQirov dta<br />

dvstv sTtoydoov nol rov distiiaiov ^ei^ccros<br />

xvarsov avra rolg STtoydooig rovoig KCCI rots<br />

-0*'' 5<br />

. xarartvxvoofi'Siri d' av a^%o^8vcov rmav


92<br />

SECTIO CANONIS.<br />

ryv rgqv rcov iEwynEv&v rove*<br />

ri ds Kvrrj xal didtovog tfwijfi^vanf EtitCv. 6/Wcog df<br />

rov aitb rccvrqg f'cog rrjg rE^Evri^g d waryparog rb oydoov<br />

S^O^EV ryv rgfayv awyp^Evov roVra<br />

to ds koinov st$ rqv iisGiqv<br />

slg rr,v<br />

EGTKI rb dis-<br />

rov dice TtaGav GvviiKtiav . anb<br />

de rrjg psGqs rov avrbv rgortov (to svarov^<br />

Gavtss f|oftV rv\v 7t


DE QUATERNIONIBUS. 93<br />

diccrovoyv xa&' f'xatirov<br />

yivsrai. eZgoipev d' civ<br />

ravrcc xccl ev ccQi&pots KJtb rqs vrjrris r&v<br />

vjtote&sforjs ccvrrjs pvQi&v x^rf' oi<br />

7toydooi rs xccl 01 komol xccrcc rovs itgosigrjiievovs Ad- 5<br />

yovg ^K^avovraiy ovs JtsQisgyov texufoivw,' gadiov ds<br />

TG) xccQyxohovd'rixo'ti, rots TtgoeigrjusvoiS'<br />

xccl if] (lev vno Qa. ov ds TQOXOV xal iitl rye; rav<br />

&tKi GcpaiQccs, sitsidav xal rovg atirgovo- 10<br />

X'0'C9/Lt'9'a Aoyovg, yta^ade^o^iev. vvvl<br />

v 7tl rov ro3v hoMtav avakoyiav xal<br />

Aoyov, jtidrj cos


94<br />

5 YJ<br />

BE QUATERNIONIBUS.<br />

vs Mara Gvv&tGiv ov6cc y snsidr] evrbg av<br />

di Gvyup&viau evQitixovrai,. ov diet TOVTO ds po-<br />

vov JtKGt, Tolg nvftayooMoZs ytaoTTi'iir}Tai, AA'<br />

doxsl rqv TCOV oAcw


DE QUATERNIONIBUS. 95<br />

xal b nag dgidnbg ovrs povov aort,og ovrs povov TCS-<br />

6g. dto dvo kapfidvovrai ai xara 7roAAajrAa


96<br />

DE QUATERNIONIBUS.<br />

sx rovrcov rcav aQiftpcdv xal ravrrjg rrjg rsrgaxrvog<br />

ccrtb Grftisiov xal (yr^^g slg Grsgsbv r\ av^stiig<br />

(isra yaQ Grjiielov xal 6uy\M[\v rtAsvQa, per a<br />

STtiTtsdov, iisra sitfaedov drsgsov. sv olg agifrfjiOig xal<br />

5 rr\v tyv%Yiv GvvfatqGiv 6 Il^arov iv r


DE QUATERNIONIBUS. 97<br />

xvfovdoog, TO de a'| STtiTtsdav (og xvfiog Ttvoaptg.<br />

ds itinv 7] TQiTrj TToaxTvg TtavTog [isysfrovg<br />

}[isiov yQK[i[iijg IniTtsdov OTSOSOV.<br />

TKQTq 6s TZTQKKTVS


98<br />

DE QUATEKNIONIBUS.<br />

ovtia' vovs ajrttfr 77^77 d6,a or&Jahftftg. vovs {isv cos<br />

lv ovGia' dititirqiiri ds cos dvds, 7tidtf nvos e6nv<br />

xal<br />

v eGrt, do^a faitirqiirjs [a?rl] xal ayvotas' rj ds<br />

5 ai


DE QUATERNIONIBUS. 99<br />

rega {lovas nAevQa rergdyavov xvfios,<br />

r] txupdveia GTSQEOV, TerdoTi] itvQ drjp vdag<br />

ov &v[ii,xbv<br />

ls txrdedgov slxoGasdgov xvfios, s<br />

^og, e/3d6[ir} avd-Qanos oixos<br />

vovg iiti6xv\\iv\ d6%a /'(?^(?t^, evarr\ 5<br />

. 6 de \KCO\ sx TGJV TSTQKXTVOV rovrav<br />

?Tt [rAtog] faIIOG[levog Kara yscops-<br />

xal aQiiQviav xal aQi&iaov, dvvd[iei, ^f^tetA^^wg 10<br />

(pvtiiv nav rs [neyed-os nal nav Gapa<br />

ankovv re xal Gvv&eTov, reheios ^ eTteidrj ra jtdvTa<br />

rovzov [legrj, avrog de ovdsvog. dib 7CQ(orc) TK)<br />

OL TIvd-ayoQixol eheyovro ..............<br />

XKi 15<br />

aptttytco de re ituvi ejteoixe.<br />

ncd TOVTO sivttL TO (SQfpcoTaroV Ttavra [iev yag rbv<br />

aQi&libv elg dexddcc rfyayovy eneidr} vneg dexdda ovdeis<br />

i(5xiv (XQL&HOS, ev rrj av^Gei ituXiv rj^icav vnoGrQecpovrov<br />

ejtl [lovdda xal dvdda xccl TOVS %?}S' *fyv & $ - 20<br />

xddcc enl rer^ada GvviGtaGd'at,' ev yap xccl /3' xccl y'<br />

xal d'


100<br />

DE-NUMERORUM<br />

uccl % ?}g TtccvTK, am)} ds %<br />

xal Swa^ei, Ttavra, cfyifTa/SA^rog,<br />

KKTK TOV<br />

I>J] cpvtiG)<br />

TO VOT^TOV uccl uyivvY\rQV V.KI rj<br />

5 T&V Idsaiv (pvtiiq xal 6 &os xal 6 vovg %cil TO xcckbv xccl<br />

TO aya&bv nol sxaGrr] T&V VQV\X^V ovtiiciV) oiov KVTO<br />

xahov, avTo dfacuov, KVTO [TO] fcov' snaGTOv yug TOV-<br />

TC3V (DS w xal xa&' avTo voslTai.<br />

vtQ&Tri ds av^rj xal [iTapokrj IK povadoc; i$ dvdda<br />

10 xctTK 8i7tka6itt


o de<br />

PROPRIETATIBUS. 101<br />

*<br />

ov [y'] rQftg ds xal y&viai o^LOLOv^evat r] {lev og&r]<br />

rrj rov evbg yvtiei, copttf^fVj? xal<br />

J<br />

| I'Gov xal opoiov<br />

'<br />

dto xal nation, at og&al aAArfhcus eltilv itiai,<br />

ovGai, 6%iag xal ayiflfaiaq Kal vitQS%ovrog xal<br />

V7tQS%0[lSVOV' CCi $S ^OiTtol KTtElQQL Xttl aOQltitOi' X 5<br />

yap vjtQO%ijs noi sMsfyscos GvvsGTaGiv. q ds rQiccs<br />

ix rrjs jiovadog xal dvddog g' noisl xara Gvv&eGw, o$<br />

^IOS rots savrov yiSQeGiv i'Gog<br />

ovrog Gwrsftels TOO TtQcorc) rerQaycovc)<br />

Ttoist xv\v dsxddcc. 10<br />

QCCS 6TQOV 6TIV IXG)V TtQCSTOS T<br />

e6nv iv aqriQis' xal at<br />

ds itatiai xar avTov GvpTtkriQOVvtaL, cog<br />

r\ de itevxa$ ^i


102<br />

DE NUMERORUM<br />

ds xal itsQishafls TO rov navrbs KQL&IIOV sldog<br />

6 a', rov aQnov re xal TitQirrov, hsya) rqv dvada re xal<br />

rgiada' y yap ^lovag ovx i\v aptttytog.<br />

6 ds g' Tg'Aftos, STtsidrj rotg savrov<br />

5 /'tfog, tog dedsLxrai* dio nal ya^iov avrov exccAovv,<br />

ydiiov sgyov o^ioia rtoisl ra sxyova rots yovevGi. xccl<br />

xara rovrov ds itg&rov GvvBtirri K\<br />

[ft^] rov g' smrQirov<br />

ds r&v t/3'* g r[ if?' re*<br />

10 r/ rcov axgcov v7tSQ%i xccl vitQ%rcci,,<br />

rco<br />

r^trco'<br />

xccl<br />

ccQi&iJirjrLxij ds {isGor<br />

hoyov rdov O1<br />

', diTtkccGCov ds rav rc<br />

avrc)<br />

ra &'<br />

r&v axgav xal VTCSQ-<br />

ds<br />

avrov ha/Haiisv rov y xal<br />

Aoyov rwv TJ',<br />

ccvrS {ISQSL 6<br />

r[ ifi ', rovrstin<br />

6iov rov t/3', stirai, rjpitv r] ysca^sr^iXTj avakoyia y g'<br />

i$' r? cf. vs. 10. 18 16 v post Kvuhoyia. del. A


PROPRIETATIBUS. 103<br />

xal rj efidonag d^ rrjg dexccdog ovGa &ccv[icc6rqv<br />

dvva[ii,v. jiovog yctQ rcov evrbg ryg dexccdog ovre<br />

yevva eregov ovre yevvccrcci, vcp' eregov'<br />

VTCO rcov Ilv&ayoQixcav excchetro, ovre<br />

dib xccl 'j<br />

ovre {irjrrjQ. ovre ycco yuverca ex (SvvdvaG^ov 5<br />

ovxe Gvvdvd&TCCL nvi. rciv yap aQi&tiav rav ev rij<br />

dexddi, oi (iev yevvaGi re xal yevvKtvrca, cog 6 d' yevva<br />

yiev fierce dvddos rbv ij ', yevvarau de VTCO dvddog' oi de<br />

yevvavrai ftfV, ov yevvccHSi df, cog 6 g' yevvarai ^ev<br />

VTCO /3' xccl y ', ov ytvva de ovdeva rav ev rij dexudi' ia<br />

oi de yevvcdtii [lev, ov yevvcovrai, de, cog 6 y xccl 6 e'<br />

yevvcovrai {lev *| ovdevbg [ft^tO'ftOT}] GvvdvaGiiov, yev-<br />

vcoGi de 6 [iev y rov 0"' xccl rbv g' per a dvddog,<br />

e yevva ^,era dvctdog avrbv rbv i<br />

b de<br />

'<br />

. povog de b % ovre<br />

TLVL yevva riva rcov ev rfj dexadi ovre ex 15<br />

yevvarca. ejiopevog de rrj cpvGei,<br />

.QL^^COV GwiGrriGu rrjv tyvyv\v<br />

xal b<br />

ev rco<br />

{lev yag xccl vv%, cog cprjtii, TIoGeLdcoviog^<br />

agriov xccl neoirrov cpvGiv e%ov6i' ^v de XK& efido-<br />

reGGctQccg Cv^iTf^Qovrcc^ rij [iev jfocorr] e^do^iccdi 20<br />

rijg Ge^vrjg boco{ievrjg, rfj de devrega<br />

y rrj de r^Crri di%or6[ioVy Ttccfav de rf]<br />

Gvvodov Ttoiov^ievrjg 7tgbg ijkiov xal CCQ%YIV eregov<br />

1 inscr. nsgl pSo[icc8os A, ^ in mg. cf. Chalcid. 36<br />

(HUTU ri]v agi&priTi'Ariv ^soorrjra (isorj T?Js TSTQCtdog xal^><br />

dwudog? cf. Theol. aritnm. p. 44, 10. an verba rijs^ dwd<br />

OVGCI pro dittographia eorum quae sequuntur T^? dsncidos OVTS<br />

habenda sunt? 2 povog yap


104<br />

DE NUMERORUM<br />

vo$. a re avr}tiei$ Ka sopa. TO yovv<br />

doKst rsteiovG&Ki, iv ejtrd ef$do[jidai,v, cog<br />

aivCrrerai iv rots Ka^aopots. eviQi ds yatii ra aggeva<br />

iv itevre epdo[id6t, TfAftotStfOm, yoviiia ds yiveGftai iv<br />

5 7trd fiyeC, yevopeva ds iv euro. ^Glv odovrocpvstv,<br />

sxfidMsiv TS TOVS odovras iv smcc T6i. GTCSQILK ds<br />

10<br />

xccl rifiri iv dsvrsoa /3doftdt* ysveicc dl cog iitiitav iv<br />

l ri]v els ^xos av^v cwroAaft/3i/t ? rr\v d' SLS<br />

iv TStdgrr] sftdo^iddi.<br />

cti rs KQIGSIS t&v votiav<br />

9?' ry peaces sittu, uccl rj (tccQvrsoa Kara itdvras rov$<br />

itvasrovs ^S T1 ? v /3do^Mjv aitovra,<br />

'<br />

Kal iv<br />

d Kal iv reragraiG). ano rgonav ds %l roo-<br />

7trd' TO re tthrjd'os rmv Ttkav&iievov ejcrd'<br />

Kal aito loripeoias enl l


PROPRIETATIBUS. 105<br />

nvr&v xgarovvras svat, &ovg, cos xa> v rots<br />

xots OQXOIS 6riv evgstv'<br />

val [ir\v a&avdrav ysvvriroQKS alsv sovrcov<br />

TIVQ nctl vdcoQ yatdv rs xal ovgccvbv yds<br />

qsAiov TS 0avrj rs {isyav xal vvxra piKa.iva.v.<br />

iv tie Aiyvitrianri 6rijA,r] cpytilv Evavdyos<br />

ihecos KQOVQV KOI f$a6iM


106<br />

DE NUMERORUM PROPBIETATIBUS.<br />

OUTGO d' ev GcpaiQTjGt, xvMvdexo XVX&G) lovra<br />

.................... evaTqv Kepi yalav.<br />

o de xcov evvecc TtQarog itixi xeTQccyavos ev negix-<br />

ccQ eltiiv agi&iiol dvas xal rptag, y [iev<br />

Vy ri de TtSQixtGyv dib xctl itgarovs TSTgaycovovs<br />

, o [isv d' ?<br />

6 de -O1 '.<br />

rj yisvtQi dsxag Jtdvrcc itsgaivsi rov a,gi%-^6v.) (ia<br />

ita


DE MEDIETATIBUS. 107<br />

slal yag eV koyoig


108<br />

DE GENERATIONS<br />

VQSlS EXEQOl kri


PROPORTION. 109<br />

in ds rav TtoManhaGiav avaicahv re&svrov [a.' a<br />

'] xccl b^ioios jrAarro^fVcav oC fatpoQiot Aoyoi, (xal at/<br />

iv tovroig GvtiTYiGovTKi avahoyiai, x ^isv rav SinkKtiimv<br />

v<br />

, K $ rav rgiTckKGCwv oi iitir^iroi^ ex ds rcov<br />

Qi , xccl asl ,ijs ovrog. oiov 5<br />

avakoyia Kara rov SntKaGiov Aoyov lv rgitilv<br />

xal TtsTtAaG&aGav<br />

, tov [i%ovo$ xsipsvov TtQ&rov ,<br />

K XOVtOV tOV sl^TJf^VOV rpOJtOV' d' /3' a' '<br />

rcii d' g r<br />

&' yivstai avahoyov<br />

k'Gt&Gav rQls OQOI ccvahoyov iv 10<br />

&' y a' GvGrrjGovtai rov avrbv rgonov *x<br />

avdhoyov iv iTtir^itQi^ & i$ ig '. x<br />

ds T&V rrQtt7tlK


HO<br />

DE GENERATIONS<br />

&' g' d'' BK ds rovrov Kara rr]v iQrniBvr]v<br />


PROPORTION. ill<br />

avrov TOV a^iGXQV rovg ywojievovg<br />

TtQWTQV [lV aVTOV TOV skaTTOVCC., 7llTK TOV dltb TOV<br />

V A.l(p&VTa XCCi T^VTtttOV rOV djtOJiL(p&VTa TOV<br />

ig rr\v TtQo avrijs<br />

hoyov.<br />

] dLakv&eZ6a ovTcog avakoyia<br />

'<br />

?}S 6vvi6rv\. TOVTOV<br />

ancttiai<br />

ig rov rrg


112<br />

DE FIGURIS.<br />

{isioig xsipsvr}' xaftft^Ai? ds r] ^irj ovrag s%ovGa. diads<br />

xal Eitiitsdov S7U


DE MEDIETATIBUS. 113<br />

a xahetrat,, TCC ds xccl vitb oQ&oycovtcov TOV-<br />

TCOV ogd-oycovicc. TOVTCOV ds TCC [isv jtccvTq<br />

TOVTSGTW I'Gov S%OVTCC TO pj^og xccl TthccTog xccl<br />

vrtb TSTQccycovcov I'Gcov ndvTcov xsaisxoiisvcc, xvfioi' TCC<br />

6s TO psv iiijxog xal rthdros i6w e%ovra, rovretin rccg 5<br />

tsTga'ycovovs, ro de vipog slarTov, Ttfov&ideg' ra<br />

TO iiev [lijxos xal ithaTog iGov, TO ds vtyog itst&v,<br />

'<br />

TCC ds TtdvTiq aviGoTttevQa GxcdrjVK.<br />

OV ds Ttsgl T


114<br />

DE MEDIETATIBUS.<br />

Se i6n [leGorrjs r\ xal avakoyia<br />

CCVTK> Aoyco v7tQ%ov6a xal<br />

oiov TtokkaitkaGicp YJ iTapoQicp' oiov a ft' d'. rd rs yap<br />

$' rcov $ diitkaGia xal ra ft rov vb$ diitkdtiia' xal<br />

5 TtKkiV I} V7tQO%ri TG3V (}' i(5xl TO V (xal r\ V7tSQO%r} TKtV<br />

d' ra /3'^>, rccvra de o^totcsg e^sra^o^isva iGnv Iv di-<br />

ftkaGCcp hoya. 6v{Lf}tf$qx ds ravrr^ rrj avakoyCK TO<br />

vno r&v axQcav Gvvri&e'iievov Kara, no^a7t^a(SLa6^ov<br />

I'Gov elvai r CCTCO tov JIS'GOV TergaycovG). oiov oi axooi<br />

10 lit aAA^Aofg itoMankaGia^oiLevoi itoiovGi rov d'' anat,<br />

d' d'' xul Ttakiv 6 /3' 9?' tavrov ^a^avo^svog<br />

rov d'' dig yag /3' d'' &Gre <br />

iGov yivsrai, r


DE MEDIETATIBUS. 115<br />

oiov g' xal ft' r[' ravra ds vnb<br />

rrjg rgidSog, S fa pfaoSy TtokkanhaGiKG&lvra yi-<br />

verau x8'' xal ndhv dig g' if?' rovrov ds ra xd'<br />

Ca ds rfj aQpovixij xatetrai ftftfor^g , orav 5<br />

cog o rgirog ooog ngbg rbv TtQ&Tov, ovrag TJ rov HQG)rov<br />

i>7tQO%r] XQOS rrjv TOV dsvTsgov olov g' s y' ra<br />

OVV g TG)V LOVadl, V7ll XK


116 QUOMODO INVENIANTUR<br />

ovGa rav g vcprjiiLoMa 6rl rrjg rgiados M.<br />

rovrov xal rav ravrais v<br />

VTtO rtiv nvfrayOQlXaV Xal 7tl JtkOV ti'QYjrai'<br />

5 qplv d' QctQxsl xara rov nvfrayoQixov Aoyov Gvvofaas<br />

t&v ftO'ihffwmxfOl' rvncodcog avra JfoQQix4vKi XKI<br />

ds ai iisGorrjTss Kara {ilv rr\v a<br />

ovroog. rrjs V7tQO%rjs rov<br />

10 Jtaga rov shdrrova rb tfiiKiv TCQotiri&svres rco skarrovi<br />

^o^iv rbv iisGov. i\ xarQov rav<br />

ra ri^iCosa 6vv&vr$ rbv 6vvr&v<br />

i] rov Gvv&stov e% ayLfpoiv kapfiavovrEs rb r^niGv \K>6re<br />

xccl i$ ra IIAar&vixa rb %or]6i[ii,ov avsvQStv]. 7tQ06r-<br />

15 raffia) dvo aQi&nav rnv ifi xal g' petiov OQOV Xa^slv<br />

Kara r^v aoi&[ir]ri,KYjV pstiorrira. ^a^ftdvo^sv rrv<br />

V7tQO%Yiv rov fieftovos naga rbv ikarrova g'' &v<br />

y . ravra Ttpotf&diiisv r& zkdrrovi' yivsrau ^', og<br />

[lEGOS V&V $ XKl g', KQl&[iqriXG)$ rOitilv V7tQ%G)V Xttl<br />

20 V7tQ%byiVO$' 1$ & $'. TtdklV 6VV$&\LV rOVQ % tt<br />

ra xal t/3' ra . g' yiverai ir[ cov<br />

xara d r^v ys&iisrQiKYiv avakoyiav Inl plv<br />

rov vitb rcov CCKOOV JC6Qie%opdvov rttevoav rerga-<br />

25 yavov kafiovr$ ravrr} ^,o^v rbv fidtfov OQOV. oiov<br />

A 1<br />

dvo agi&fiol o r xd' xal b g<br />

. jfQo6r-<br />

2 TsrQccdos Bull.] A 6 rvnodcog A, em. apogj.<br />

8 inscr. nme SVQIGKOVTKI at ju-g Gozr}t$ A 12<br />

13 rovg GVV&STOVS A mffts v.a.1 v.xk. : haec adscripta<br />

fuisse videntur ad vs. 7 17 ?'] J| A 19 g' Bull.] rasura<br />

trium fere litt. A 20 g ante vnsQSxofievog er. A


MEDIETATES. 117<br />

rd%&G) rovrcov Kara ri]V yfo^rQixr^v dvaAoyiav rov<br />

OQOV avVQiv. TteTtoMaitAaGiatid-aGav 01 TSin<br />

AA^'Aovg* yCverai Qyid'' rovrcov lA.rjcp&co<br />

a rrgdyK)vos' 8


118 QUOMODO INVENIANTUR<br />

avdkoyov etiiv' cog a$a<br />

fiy rav aoa a/3 fly<br />

/3 Jtoog rr]v /3d,<br />

avakoyov itiriv rj /3d* oittg<br />

y nag Kara ryv<br />

uv rev [istiov OQOV. lav plv ovv sv<br />

u^ do&cotiiv 01 axgoi, olov 6 t/3' teal<br />

6 g', Tr\v v7tSQo%fjv rov {ist^ovos naga rov s^drrovK<br />

olov ra g jtonqGavres zitl rov g' KOI rov ysvopevov Ag'<br />

naQa^K^ovreg naoa rov Gvv&srov IK r&v auQ&v olov<br />

10 nccQa ra itf xal ro Tthccrog rc3v Ag' olov rcc /3'<br />

ftsvrEs rci ekarrovi, rovrltin r& rav g' ? %0[iev ro<br />

rovpsvov. k'GrKi yao 6 rav rf rc5 avt


MEDIETATES. 119<br />

JtQ06d"VT$ TG) ikttTTOVi ^0^V TOV tflTOVpSVOV OQOV<br />

TG)V fl KS tOV &'> OS V7tQE%G)V TOVTSGTL TO, /3', TW ^Aarrovt, tvmi&ti ro5<br />

d'' xal 6Tai g fWtfor^g aQpoviKr] TCOV t/3' xal d', rc5<br />

VTCO fl0t TCDV aXQCOV V7tQE%OV6(X Xal VtttySgOfl&q, 15<br />

TOVT6T(, T(p ifpfoH TG)V CCXQ03V' t/3' g' d'.<br />

vopiav.<br />

raura fifv T avayxatoTara ^^(JL^OTKTOV v<br />

jtaQTJfULtilV Wg V X(pakcUG)dL<br />

o6i TCQOS Ti]v TCOV FttciTavixav avdyvcdGiv. tei-<br />

2 TOOV A 2<br />

] rov A 1<br />

ut vid. A 1<br />

pvriyiovevGca GToi%iG)dd)$ xal T&V xaT* dtiTgo- 20<br />

12 TOV A 2<br />

] TCOV A 1<br />

rov A 2<br />

] ra>v A 1<br />

10<br />

xat Tra^aj^o^ff] pro<br />

his verbis exstat in A yivsrai 13 u/rj j3' er. A (in apogr.<br />

hie locus ita conformatus est: rov i?' '<br />

rovrsGri to nldrog rfjg<br />

TtuQU$o'kri


Ft ~ t r r r c,) ; ~ r ~<br />

on nag o xotipog Gyttiqwos, iistir] o avTov rj yrj,<br />

r}s ovtia xal avTij, XBVTQQV {lev Kara r^v<br />

, (Sr^ieCov ds Kara TO [ifysfros Aoyov e%ov6a ngbg<br />

TO nav, avdyxq TtQoxaTatiTriGaG&at, ngb TCOV aMcov. %<br />

5 {isv yctQ axQifisGrsQa rovr&v acpriyriGLg [taxgorsQas 6x-<br />

,.) cog Aoycov Jtkeiovcov' s^agxeGei, ds<br />

Tav 7caQado&iq


TERRAE. 121<br />

anb yi]g vdiav avitiov rb pfy^og. TO re rrjg<br />

6cpaiQOidg fyyavitpvtiiv aito plv rfjg & ly<br />

ai rav avrav aGrgav imrokal KOI dvtiig ftarrov<br />

roig toaoig xXinaGi, figadiov ds rots TtQog 67tQav yivo-<br />

nal r\ avrr] xal pia GeAqvrjg sxfaiilus, vcp' sva 5<br />

xal rbv avrov xaigbv STtLrs^ov^svri xal<br />

oig dvvarov opov {tt7to[ivrj, diacpoQCOg xara rag<br />

xal ad rotg avarofoxorsgoig iv xaQav^iJGSL<br />

dia Tqv itQi


122<br />

DE FORMA<br />

xal ri yv\ GcpcuQixr} civ sl'rj. STL raiv PK$O$ fyovrav<br />

cpvtiei<br />

7tl rov fif'tfoi; rov 7tavrb$ (psgonevcov, si vorjaaifteV<br />

nva dia [isye&os {isgr] yfjg itkeov acp6rdvai rov<br />

psGov, VTto rovrov dvdyxT]<br />

ra dhdrrova<br />

5 &JUp ual PCCQOVIISVCC Kati(5%v6d'Ki, xal a<br />

rov ^s'tfou, iis%Qis av i


TEEEAE. 123<br />

rrjg vscag (iqjta f$A,8Jto[u!vrig yrjg r/ jrAotov Ttgo'Covrog,<br />

rb avrb rovro avafidvrsg twig ETCI rov Itirov sidov, c'qp'<br />

enl<br />

xy<br />

ysvopsvoi xal olov vitEQxvtyavrsg ryv<br />

rats<br />

5g df xal<br />

[LEV,<br />

tijg ^K^Krr^s- xal tpvtii-<br />

r} itavrbs vdarog eitupavsia, 5<br />

] deiKwrcu ovrog.<br />

#v ~7?<br />

\<br />

X<br />

anb rav v^yj^ors^cov ad sfagslv rb<br />

ra xoMrsga' S


124<br />

DE FORMA<br />

TO /3.


TERRAE. 125<br />

pergovtiaig dioTtrgaig rqfaxavra d-eageirai,. yiverai ovv<br />

rj rov peyitirov ogovg V7teQO%r] oxraxiGx^oGrbv eyyt-<br />

6ra rqg o^rjg diapergov rrjg yrjg. eav de xaraGxevdtiG)-<br />

pev [rdvrav&a] itodiaiav nva xara d taperQOV Gcpal-<br />

QCCV, ejtel ro daKTvkwov dLK^Tr^iitt (jv^iTf^Qovrat \xal\ 5<br />

g ro |t^xog eyyitiXK dsxa dvGiv<br />

xccl Tjpfasia], sty av r] TtodiaCa, r^g<br />

6rarov opog xara 15<br />

xd&erov edei%&r] rrjg diapergov rrjg yY<br />

eyyiGra pesos' cotire ro reGGagaxoGrbv<br />

diapergov pei^ova Kvyov e'^ei TtQog rrjv<br />

Ttodiaiav rri Gcpaigag dtdpergov. xal rb GvviGrdpevov<br />

aga Gregebv CCTCO rov re66aQaxo6rov peQOvg rrjg xey- 20<br />

%Qiaias diape'rgov XQOS rb dttb rrjg Ttodiaiag opoiov<br />

Greyeov, (pei&va koyov e^eu r/)> rb aitl rr^g dexatira-<br />

diaiag xa&erov Gregeov Tt^bg rb anb rrjg diapergov rrjg<br />

opoiov aregeov. rb de Gvviordpevov Gcpaioixbv<br />

3 sav ds KKTctGKEVKGcoiiEv bis scr. B, semel apogr.<br />

4 8VTUV&K apogr. 8 dtaiisTQOig] diKai;ri[LK6i B 9 dmxo-<br />

GLCCS B 13 OKT(XKl6%thl06T6v 86TI T?Jg TtodlKLKS dlK[lTQOV add.<br />

Mart., sed cf. vs. 9 r) Y.KI QU%V slccrrociv, vs. 18 ^ef^ova<br />

^.oyov, p. 127, 9 TroHco &KTTOVK Ao'yov 14 rEGGUQa.v.ovra.Y.1 B,<br />

em. apogr. 15 o^og] (ISQOS B* 22 pro verbis inclusis<br />

in B scriptmn est itQog, quod Martinus in co? mutavit: sed cf.<br />

adn. ad vs. 13 dsKKTtodiKiug B*


126<br />

6rQOV<br />

0.710 rOV<br />

DE FORMA<br />

dia[iTQOv t >a.Ki6iLVQLorrgKXi6%ikio6rov [legos


TERRAE. 127<br />

xvfiov agog rov sitl rov xvxAov Kvhvdgov


128<br />

DE TERRA.<br />

Yi de itixiv y yr\ xal [isdy<br />

xeirai rov<br />

Kara rrjv &e0w ovx aito Ttccvrbg<br />

avri]s rb [iev ifaiGv rov OVQO.VOV vitEQavO) TO<br />

vy>' avrrjv f&i, ovds rag anb Ttavrbs<br />

5 TtQoq rov 6%arov ovQKVov r\KOv6a sv&ia I'Gag. nal<br />

^r\v ort rov {isysftovs ovdEva koyov afa&rjrbv %SL Ttgbs<br />

ro Ttuv rj yi]) tflfttsiov ds ra^iv $x%si, d^Aot y.al ra<br />

rcov ...................................<br />

rrjs oixovpvr}$ cog uwrga rrjg ^Ataxijg vnori^B^eva<br />

10 6


DE CIRCULIS CAELESTIBUS. 129<br />

oA?? yrj (tiqiisiov ra&v sits%st,y Jtobg rr\v oXr\v rov ijAt'ou<br />

xal tfoAAw iivi ^aAAov 7tob$ rqv rav axAav&v'<br />

xal dice rovro asl rb JJHIGV rov xotipov deaQSiGftcu<br />

vitsy avrijv [pga%st xwi ftotipag].<br />

xal TtSQi plv 6%ijiiaros rov rs navrbg xai rrjg yrjg9 5<br />

11 ds rrjg ravryg peGris &6&S x


130<br />

pevov xoAov xal avrbg dsl cpavEQog, xaA,ov[isvo$ a<br />

xcg Mftb t&v *v ttvria xarr}6rQi


CpCOCjCpOQOg, 0V CpatilV ^Cp^odLT^g^<br />

CAELESTIBUS. 131<br />

TOVTOV ds XCil S<br />

QOV xal i'cjTtSQOv ovo^id^ovcji., Jtgbg 8s TOVToig<br />

ov<br />

ds rig xvxhog OQL&V., 6 dice r^<br />

xal V.VLT litntQQG$v\(5iv Trjs yrjs 5<br />

/'(? 8iaiQG)v cog ytQog ai


132 E>E CIRCULIS<br />

fttf?7fi/3(Hro olov STtsidrj xara usaqv qiisQav en\<br />

rovrc) ytvsrai, [isrsaaog 6 qhog. xaKovtii ds s'vioi rov-<br />

rov xal XO&OVQOV,<br />

1<br />

Bjcsid ^ itobg tbv a


CAELESTIBUS. 133<br />

vnlg ijftag. ns6Y]npQLvbs 6s Kal bgi^ov TO) psv<br />

i, dsdopsvoi, piyiGrvi ydy, rr\ 6s frs'titt,<br />

(JLSTKa&<br />

tKadrov KKipa rqs yj\$, a'AAot nag a'AAotg<br />

OVTS yag aitaGu roig snl r?jg yfj$ 6 avrog<br />

V, OVTS TtaGi TO CiVTO '<br />

O^O1<br />

^(50VQaVL0^LK ,<br />

SXCC6TG) 5<br />

6 (avTOsy [is()r]ii($()w6$. OL HSVTOL TtQOs rotg Tto-<br />

O T KQKTIKOS KO.I 6 aVTaQXTlXOC;, OVTS TOig ^ISyS-<br />

dsdovTcci, OVTS Tats ftsGetii,' Kara ds xj]v SiayoQav<br />

TKtV VOTl&TSQ&V Kal (loQSlOTSQaV ^L^IKTOV 7CO.Q 01$<br />

itaq olg ds sAaTTovsg OQWVTCCI,,<br />

xal Kara 10<br />

rr(V yv\v, TOVTS&TI, Kara TYJV vjtb rbv i^r\coV^v<br />

dia xav^a aoCKr\rov^ ovd'<br />

yivQvrai, T&V noh&v aiHpoTtgcov fast cpawoiisvav<br />

rov OQ^OVTOS dt' avr&v iKitinrovrQ^. stol ds oV Kal<br />

Gyaiqav OQ^r\v xaAovtft, itavrav r&v ita^a^Kr^Ktv 15<br />

av yivopw&v cog ngog txsivovg TOVSTOXOVS TYJ$ y^q.<br />

STL TG)V {LSV AAcOV XVK&G)V SKatiTOS OVT&g S6TL XVvnb<br />

Alices yQcc^rjs TtsQis^o^svog. 6 ds hsyoiisvos<br />

sv nkarei rim cpaivsrai KaftdnsQ rvpnavov<br />

sy' ov Kal stdnAonoisiTai, ra {.(pdia. TOVTOV 20<br />

6s 6 psv dice psGov kiytrai TWV ^wdtwv, o(?Ttg Itirl Kal<br />

HsyiOTog Kal TCOV rgoitiK&v stpccTtTo^isvog x0-' v sxa-<br />

TS'QOV GriiisZov Kal rov farjiLSQivbv du^oro^v' ot 6s<br />

sxaTega&sv TO jrATog a


134<br />

DE STELLIS.<br />

(H OVV<br />

Xal (X7tA.(XVZs<br />

xal xa to nv<br />

7teQie%ov6r) GyaCga<br />

JtQl


DE STELLIS ERRANTIBUS. 135<br />

tydiaxov note plv flogs LOTS got, TOV dice pstiov tpaivopsvoi,<br />

xal vtyovG&ai Aayofiei/ot, TtOTS ds VOTKOTSQOI xal<br />

Tansivov^Lsvoiy xal TOVTO oi psv ithsiov, oi ds<br />

TL ds xal TOL$ lasydftetii diahhaTTOvTss,<br />

dice TO note<br />

TtOTS ds Ovvsyyvs r^ntv sv TGJ pd&si,


136<br />

DE STELLARUM<br />

xal ovx fig ra 7tQorj'yov(jLva, Of^vrj [iev iv<br />

rai' 6 ^Atog d' wiavrc), o$ itiriv rmegav syyvg<br />

(poGcpoQog ds xal Grttfiav XK&' waGta psv a<br />

5 oMyov TtccQaMdtTOvrss rotg %(>oVotg, cog ds TO oAoi<br />

sinew ttiodgoiiot, T\kito stGiv^ asl nsQi rovrov<br />

dio Kara^a^avov Mart.) laoS^oficov B. cf. p. 187, 5 sqq.


ORTIBUS ET OCCASIBUS. 137<br />

xa xaTa i^TQOv avTKt noT yivo-<br />

, 01 dvo OVTOL ad neol TOV tffaov oQ&vrcti,<br />

x' Ttov fjotpag, TovTeGTiv 'fyyitiTa dvo<br />

, TO itheiGTQv draTofaxcoTfQog 77<br />

avTov yivopsvos, o de rr t s ^(pgodfaqs ite^l v'<br />

avaroAas ij dvtfsig ayiGTapevos.<br />

Kvaro^rj de Aeyerai 7tAeova%G)s' xvgias ftcv xal xoi-<br />

tni rs rjMov xal rwv akh&v aGrgav r\ TCQ&rri ava-<br />

(poga VTteg rov oQi&vra' eregov ds rgonov enl x&v aMcov<br />

xal xv- 10<br />

r\ itQ&Tri cpavGig en VG)V x&v r\KiQv avycov, r\ns<br />

Qiag ((pavGig) 6vo[iatai,' KQITW\ ds r\ xahovyisvri axgovv-<br />

%0ff, titeidav riKCov vvovro$ to xara<br />

enl trjs avatohrjs ft^snrjrai' xafattai, ds<br />

TJ toiavrri avaro^rj yivtxai axQct$ vvxtog, rovr-<br />

aQ%oiievris. xaQan^rjGLcos ds xal dvGig xow&s 15<br />

v\ TtQGjrrj xd&odos rj vnb rov ogi^ovia' XQOTCOV ds<br />

6 itQCotog ayaviGyiog atirgov TWOS vno TCOV TOV<br />

Tis xal XVQI&S XQV^LS ndfav TtgoGayode<br />

xal axgovvftog, eneidav v\Kiov ava-<br />

TO XUTCC did^sTQOv aGTQOv avTixaTadvvrj. rav 20<br />

de dia Tag TOV qMov avyag Aeyopsvov<br />

dv6G)V, TOVTtGTt, Cpav6COV Xal XQV<br />

r<br />

c5t, at de 67tQiai,. sepa [tv ovv itinv a<br />

Ineidav IxfpBvyov Tag TOV fyiov avyag<br />

avTOv TtQCQTcog oQa&rj, xaftaiteg xal TOV ij xvvog<br />

dvaToAav xal<br />

3 nov] nolv B, cf. p. 187, 10, ro nalv Mart. 5 avrco<br />

B* Y.<br />

'] B*, cf. p. 187, 12; quinquaginta Chalc. 7 inscr.<br />

onoGu%oos IsysTcti avaroliq B 8 Inl tnei d<br />

tJ<br />

B*<br />

9 vTtfQ] vno B* 10 (pdai$ ci. Mart. 20 uvriKKTCidvvti B*<br />

23 soneQioi B* 24 Ixyfvyoov B* n^oavareUcov B*<br />

25 nmro B*


138<br />

DE STELLARUM<br />

B(STtQL(x, ds , iti,dav [ira rv\v dvo'iv rov r t<br />

(pavfjy xa&artSQ rrjv ^S^VT/IV rats vso^i'rj',<br />

iv avar&teiv. MayanAr}6i&s df xal dvtifis<br />

gV, 7tidav rats H>7tQ06d"v rjfifyais 11 7tQoavarA.hov<br />

5 faiov GvvsyyCtfavros ama ngcoros a


ERRANT1UM ORDINE. 139<br />

d' aMofrev aAAoj viteQtsQOv eA.A,cc%e<br />

pv dice txiijg<br />

xat ^affv^Aog xal "AdgccGTog 'AcpQodiGisvs xaO"'] xar' B*


140<br />

DE SPHAERARUM<br />

v&v cp&o'yycov hoyovg dieGraTci TCC ovgdvia rrj<br />

TCO ta^i trjs yogas qQiioG[ivovs xal<br />

aitotetelv. o&ev xctl Iv rolg (ps%r]s<br />

ovv VTCcirrj rs /3pf rs<br />

de Gf^alga 6vvv\\Ji\i,ivK\<br />

v d' T^eAfcOg TcAwyxrcov &6iv<br />

rov d' ano drj IJJV%QO$ psr %si diet<br />

KSLVOV d' yjifaovov cpaivcov avirjtii<br />

10 rov tie TOGOV cpasftav oGov O<br />

'<br />

d' ^<br />

15 xevtQOv d' ^<br />

VTto TotGi rovov<br />

d' VTto TK) Gtttpcov (pQS&'<br />

ds xQwG&stGa cpvtiiv 3toA.vxct[iitecc<br />

avtrj Jtvrd%G)vo$ ait rjSQOg sis cpAoyosv<br />

5 IIE660&1 Vel [ISGO&l C] [l6rj&l B VKISI C]<br />

6 vrft C, VOTTIS B 6 psGriv B, H.EGOOV vel [isoov C<br />

C] T^^tos^B<br />

7rZa%Tcoy BC, em. Vossius tG%sQ'v C] vTTf'<br />

B, $6% VTtEQ Vossius 8 dno B, vno C TOM)


CAELESTIUM CONCENTU. 141<br />

ovQavov s^drovov rovov 6%s&e rbv dice<br />

roCiqv rot 6iQrjva


142<br />

DE SPHAERARUM CONCENTU.<br />

OVTE \nv\v xccra ftQcopa' ndfav yag EV %$(6naTi TOVO&<br />

ativv&ETOs ov [is&adstrai. si 8s [ILXTOV st, aptpotv<br />

rig totv yEvoiv Eivai TO GvGTrjiia ,<br />

TO T TtfalG) dvOLV XaTCl TO E^VJS r^LiTOVLCC TaTTEti&at, Ov<br />

5 o'Awg itirlv ennsAs'g. AA ravra psv rotg a<br />

ds Trjv plv dice Trjs (pOQag T&V<br />

TOI ra>iv TCSV Ttavcoiisv&v ov rv\v<br />

10 GAr]vr]v vnlg yijs dsvTsgov cpqGi, tpsQsGd-cci, TOV<br />

15<br />

a$ ojg<br />

f<br />

EQiii}$ k'n vsog, sgyaGaiisvos TY\V<br />

7tQG)TK)$ ?$ TOV QVQKVOV KVIOJV XCCi<br />

TCC itkavaG&ai teyQyitva, ^av^K6ag r^v diet Trjv<br />

CCVT03V yiVQ^V^V KQ^iOvCaV TT] VTt CiVTOV<br />

iv df Tots it6i' yaivBTKi 6 av^ OVTOS<br />

lav axivrjTOV, EV r{ ds yftoyyois itoiei vito Tr\v T&V<br />

aTthavclfV Gcpatgav Tag TWV TC^avo^vov sitTa, \xaY]<br />

7ta6ag xivoov nsql TTJV yv\v xal Trjv kvgav<br />

20 o%Ta%OQdov EV rift dice TtaGoov 6v{i(pG)via [6<br />

1 KKTK ^QK^ici] %gd)[iK T B, iv ^Qco^cixL Mart. 7 sqq.<br />

cf. Erat. carm. rel. p. 38. Bernhardy Erat. p. 143 11 in]<br />

iczi B* 12 TtQcoros B*, primitus Chalc. 73 13 &avfiaooL<br />

B, &ctv[iaGis Mart, miratum Chalc. 15 b^oCav Mart, addidit<br />

post KQIIOVLKV: miratum, quod imago a se inventi operis in<br />

caelo quoque reperireiur stellarum corilocatione, quae causa esset<br />

concinentiae , recensere, primum se a terra transmisisse lunae<br />

ylolum, post quern superasse solis, dehinc Mercurii Stilbontis et<br />

*?<br />

ceterorum cum aplani summa et excelsa Chalc. 17<br />

d?<br />

cf. p.<br />

,<br />

105, 15 sqq. 18 tag] rccts B* 20 6 [JLOVOIKCO ute^av B, 6<br />

'<br />

l>iov6iK(oT(XTo$ alsccvd()o$ apogr. , 6 novoLKcoTEQo<br />

Mart., ov% cog 6 [lovGiKaraTOs 'Als^ccvdgog Bergk


FABULA PLATONICA. 143<br />

ros 'Ak^KvoQOs]. oi plvroi na&rjiiarixol ryv rd&v rcov<br />

v ovre ravryv (ovrs rr\vy ccvrrjv ndvrfs n-<br />

,<br />

aAAa pfrd [tv rrjv GfAqvyv rdrrovtii rbv yhov,<br />

$ rovrov svioi pfv rev Grttfiovra, slra rbv (pa6-<br />


144<br />

FABULA<br />

ccva&ev SLCC itccvrb$ rov OVQCCVOV K


PLATONICA. 145<br />

rov oydoov dia[i7tSQss &r[kcL(5%a.i. rov psv ovv<br />

xoarov re (xaiy e^oraro ' sxdorov<br />

3 rov SV.TOV dsvrsQOv PI.] Ix rov SsvrsQOV B 4 rgirov<br />

de PI.] rQirov rsE 7 psyfarov PI.] nipnrov B 8 TO ante<br />

^pcofta PL (om. Vat. H) 11 %$(0[iara non est apud^Pl.<br />

rbv rsraqrov] rsraqrov ds PI. 12 Sevrsgov ds XSVJCO'T^TI rov<br />

PI. SsvrsQOv tevKorarov B KVKteic&ai PL 13 Sri P ost<br />

de PL (om. Flor. T) 14 TOO xo'c^w non est apud PL<br />

TOO ante o'Ao> PL (om. codd. duo) psv post rovg PL<br />

15 TtSQiKyeG&ai] TteQLcpeQeG&cti PL 17 iGorK%K>s non est apud<br />

PL 18 xca 'XTOJ> xal nsfntrov PL rbv ante rqirov PL<br />

(om. codd. duo) ov qpacr] a>$ GcpiGi PL 19 fiahGrcc TCOV<br />

-aHwv] rbv reragrov PL<br />

Theo Srayrn.<br />

10


146<br />

DE SIRENIBUS APUD PLAT.<br />

v istaciv, IW<br />

rovov x TtaG&v oxrco ovG&v aqpovtav<br />

ravra per ovv xal 6 Illaxnv cav rrjv i%Y\yv\6iv iv<br />

rolg rrjg HofarsiKs Tcoiov^fd-cc V3togivrj(icc0iv. xarftixsva-<br />

5 6rai


DE STELLARUM ERR, MOTIBUS. 147<br />

ri HOT' a$a 6 atiTrjQ ode<br />

ds iQ7]VKS ov rovg aCrsQag ktysG&ai cpatiiv,<br />

XCCTCC TO Uvd-ccyoQixov TOVS vjto Trjs TOVTCOV (pogac;<br />

vs tf%ov$ xccl cp&oyyovs fjQ[iocjnvovs xccl Gvp- 5<br />

cpcovovs, s% cov \LIOLV r}Qpo4p4vriv anoTkel6fta.i cpov^v.<br />

TGJV de TtAavttiisvGOv, (pqtilv 6 "j4dQa6TOs, ta [iv<br />

S6TLV Ki VrtofailtTMCC, COS 5^*0g Xttl GsAljVrj' TCtVTCC yCCQ<br />

ovdsjtOTe sis TCQQriyov^va TCOV fydicov ^BTa^aiv^<br />

AA TtCtVTOTS OQCCTKl [lTaf}(XlVOVT(X IS TO. 7t6[lVa' 10<br />

ovde (ST^^Ly^iovs ovds avanodi6^,ov


148<br />

DE STELLARUM<br />

povg. GrriQiypbg de e


ERRANTIUM MOTIBUS. 149<br />

yag anAavov arthf] xal pia cpoga<br />

TS xal oftaArJ. rov de aMov yt^avo^ievov xvxfaxrj<br />

ov prjv ?rAij doxet xal [iia, ovde o^aA?? xal<br />

rov d' VTib (5e^rivr\v<br />

noi,<br />

TCSQL rj^iag ncd [i%Qi$<br />

naGa [israfioA.}] xal xivr^ig nai^ xa&aitSQ cprjGtv.,<br />

sv&a Kotos re (povog re ncd aMav e&vea KYIQ&V.<br />

xal yctQ yeve6i$ xt (p&oga Ttegl Ttdvra ravrav&a xal<br />

avfytiis xal fitto(?tg &Uo&>0/$ re itavroia xal ^ Kara<br />

roTtov TtoMttij yoga, rovr&v de, cpqGiv.) alna ra ithavco-<br />

r&v aGrgav. ravra de heyoi rig av ov% K>S t&v 10<br />

Y.VLI fteiav xal aidi&v ayevvrjrav re v.a\<br />

evexa raiv eAarrovav xal dvqrcov xal<br />

Tcecpvxor&v, AA' cos txswav $iev dia re<br />

%al agitirov xal tiaxctQioorarov ael ovrag e%6vra)v, rcov<br />


150<br />

DE STELLARUM<br />

BIVKI T&V SVTCCV&CC, dia <br />

dtoAov slvKi TQEJtrrjv xal [ravrcc]<br />

ByyivBtui d' 77 {jLETafiohrj rij Ttoixtty yoga<br />

el yaQ 6 pottos rots cntkavBtii xal<br />

KEi o^Oiccs ovtirjs rrjg<br />

TG)V 0&G3V XCtl TtaVX&V XCCTaGTK


ERRANTIUM MOTIBUS. 151<br />

rovro yvr\G6%-ai, av xar* titivQiav<br />

rbv xoGpov voqtiaiiEV roc TthavcopEva vitb tbv<br />

axivqrov ovra xa& VTto&EO'Lv, xivovpEva' ovrog yap<br />

ovxrt noixCkri xal avcs^a^og^ AA' Evraxrog 77 xivqGig<br />

avrcov 7tirAov[iEvr]


avrd dfl o^ouog. doxfl d' r\\ilv rd Ttkav&ineva itdvra<br />

'vanaMaS) evua $ Kal dra%ia$ \itrfytiv. ri$ ovv<br />

roiavrrjg cpavraGtag airCa^ itgarr] yfsv<br />

rb iv iri-<br />

G(paiQai xal iv Zrfyois KVK^OLS ovra, xa&' cbv<br />

5 (psgovrai, doxtv did rov tydiaxov (pQ6&ai) xa&d<br />

Kara 6v{iftftrixbs de, cog jtgosi^rirai^ xt<br />

rr\v Idiav noiovyisvoi Kivr\6iv oi J', ftfafovag KV-<br />

ygdcpovGi KOI dtwgpo^ovg. dfjhov<br />

Iv Kal (p' vbs yvoiro 6xo7tov[ivois rov<br />

10 rdrov Kal psyCGrov rav ttkav&pev&v YI^LOV.<br />

KQIO$<br />

6* rovro dv<br />

(pdt,axbs psv 6 afiyd' xevrgov ds ccvrov xal<br />

rov 7tavro$, ^^ o Aeysrai tpriQSfa&ai peGy


DE MOTtJ SOLIS. 153<br />

dq 6 %fao$ xaTa TO a ywopfvos faqpsffatf<br />

oiffod-ai, Kara ds TO ft TQOXYIV ^soivr^v., xal<br />

xaTa per ro y (istoitcoQivqv (jfafipQfair) xaTa ds TO d<br />

y facts ds ovtias Tag aft fly yd da<br />

v&iidh&s *v avitiois %QO- 5<br />

voig dis&av. ano psv yag farjiiQLC


DE MOTU SOLIS.<br />

TCOV JtEQLCpEQELCOV TTjV aVTTjV CCV 7taQi%EV<br />

v dl cog ETsgcog xivovpEvog xal ov JtEQi TO 0- xev-<br />

TQOV al'TLOV E6TL TTJg TOiaVTTjg Ell


TOV XSVTQOV vjfb TTI s<br />

de xs *i<br />

DE CIRCULO ECCENTRO.<br />

ft<br />

TtQOTEQOV XKSVTQO$<br />

eiVKl TOV<br />

155<br />

Ca^syxex^svos ovr&s, S %iS fal fiav rov e ysvo-<br />

ccito TOV ft lit sv&etKg ogatiiv<br />

litl TOV cc<br />

dofcei, Ti]v de s^ dtaAO'csf, pwy&ftijv ovtiav T&V EI$<br />

TST^irj^svov TOV Idiov xvx&ov, rjiiBQCcig *id' g',<br />

rjv xal avTj\ ^ot^c5v)> 3 oftaAcog, K&1 ysvopsvos 10<br />

1 ^Xt'ou] f}haKov B* supra i ace. del. 2 #st B<br />

3 SlULQOVtJiSVOV Si$ LGtt<br />

[LSQT} T^B (?"] $IKIQOV^LVOV i$ I'CK (18VSL<br />

ten B^rjK B, dtcciQovfisvos ovv, sis fact (isv roc s 77 TJX xs Mart.<br />

hoc igitur circulo in trecentas sexaginta quinque paries et par-<br />

6 $<br />

tern quartam unius portionis diviso Chalc. 80 9 hfiz B<br />

10 r\v xal] sivcu B* pogioov add. Mart. ywopsvog B, em.<br />

apogr.


156<br />

DE CIRCULO<br />

rot tv 7tl rov /3 (pavrt Grai,, Kal do%i tv\v<br />

^rr^nogiaCav rov fydiaxov xvxhov,<br />

ov ralg avratg i^c'patg, avco^id^cos. ndfav ds rqv rj<br />

7tQl(pQiaV, dfVrfyaV ^^^1 TOV IdlOV KVK^OV , 7tQi-<br />

5 h&G)V 6/LtaAcOg V ^QCX.i^ **$' ff', 0 oG&v<br />

Kal [toiocav rjv, Kal ajtouaraGras Inl ro f, d6%i, rrjv dec<br />

Kal 7tl ro a 6rj[itov aitOKaftiGraGftai. Kal rov avrov<br />

KVK&OV diaTtoQfvd-fls 6ftAc5g rov r&v tydiav dvo^icc-<br />

20 Aeog d6%i di^rj^v&vai. lav dl Ixi&v^avrfs<br />

rav Kvrgcov rr\v -9-u x3dAcouv


ECCENTRO.<br />

STtsidrj rov s xvxhov XSVTQOV ro ft, i


158<br />

TYJS \LX agog<br />

DE CIRCULO ECCENTRO.<br />

fr, TOVT()Ti \IX TtQOS &T ,<br />

dfdoTKt, aoa TO fird* rgfycovov TGJ ei'Sst,. xal do&ev TO<br />

& XVTQOV TOV ItaVTOS JIQOS XCiTQOV tG)V V<br />

TO psv ya$ piyiGrQV OQL&I, KitoGrri^a^ TO ds<br />

5 XKi eGTIV J] ft1/ ^ft ftT|v XVTQG)V TOV TS TtCCVTOg Xttl<br />

TOV qfaccxov xvxAov. dedoTcct aga o e^yx xvxhog TTJ<br />

XU.I TG) ft^'0't" VQi(JXTaL $ dlCC TTJS TCEgl CC7CO-<br />

xal [isysd-av TtQayiiaTeias o Aoyog TYJS ftp<br />

TT]V [ivy yyi


DE EPICYCLO. 159<br />

xhov roiavde kiyovtiiv elvai. b'(Sro nahv fydiaxbc; plv<br />

6 afiyd, qfaaxbg de xvxAog 6 efx, fxrbg aitofaht&v eav-<br />

rov TO & o itiri rov jcavrbg xsvrQOv. cpQO[ievr]s drj rijg<br />

rav ankav&v Gcpatgag ait rijg ft avaroArjg eitl rb a<br />

xal onto rov a enl xr\v d dvGw, 6 ggx 5<br />

%roi, riQSpriGei fj xal ccvrog xt,vqd-r)6rKi,, cpsgo-<br />

tQi avrov rov }\UQV. AA' ei ply i?(>fti?


160 DE EPICYCLO.<br />

SVEX&IJGSTCU. aUa ^v ovdl frarrov, snsl xal o^S<br />

tigocpftavav jtoorj'ystG&ai, do%i r&v aTtkavcov xal avarov<br />

t,G)diaxov diavvEiv, oiov aito Kgiov sis<br />

teal 'Tdgoftoov' CMBQ ov (paivErau. drjkov ovv<br />

5 on b s^rj xvxko$ qTOi TCL ra avrcc rw Ttccvrt,<br />

, Kivv\%v\6vtai) xal dice rovro<br />

J<br />

ra STtopeva do&L petafiaivsiV) ^^<br />

rj zavrov [ft]<br />

vnsvavTi&s rtp navrl ofa9"q6&cai 9 Gvvaitevsx&iJGs-<br />

tKi ds TGI navrl Ttgbs qiiEQav exaGrrjv xgarovusvos rv\v<br />

10 Kit avatohav sitl dvtisig' nal yag ovtcog slg ra 87t6[iva<br />

sncdv ual olov vTto^eLTCo^svog.<br />

ovv


DE EPICYCLO. 161<br />

TOV flOv V7tVCCVTlG)$ TG) JtCCVTl 6 ^hog till TOV<br />

xvxAov Vy&ri


162<br />

saS' xdhiv drj TO v<br />

DE EPICYCLO.<br />

Tvqvo%TG) TOV xvxhov enl TOV %fy~<br />

6 $ ijfaos TSTKQTrilLOQiaCKV V%&l$ 7tQl(pQt,KV 0TG><br />

7tl TOV ty' (fKVYltitTttl 81 KQtt KKTK TO CO XCtl do&l 8l-<br />

5 fkrihv&svat, rrjv ?&, skaxtova r^fiopttai/? not<br />

TOV y. koLitov dl TO plv | X<br />

6TaXTG) TOV $% XVX?.OV 7tl TOV %rjX, Xttl CCVTOS $ 6<br />

^Atoff, difA&cdv 1<br />

[-0 '] o[ioiav TTJV ngitpSQiKV Tr\v tyfa KTCO-<br />

10 XK&sGraG&CQ enl TO , cpaiv6[ivos XCCTCC TO a' xal ivv\-<br />

do|t Trjv coda TOV fydiaxov<br />

Xttl TK%VVIV 7tl TO K. CO(JT drjfov OTi (p^6^lVOS OVTO<br />

3t()l TOV To^OTrjV (paiVfTCCl, $ TOVVaVTLOV<br />

15 ovx ^a, TOV xvxtov avTov g)^o^i<br />

f<br />

vov XCCTU TOV<br />

yXVTQOV XVX&OV 7tl TCC tVKVTlCt TG) TtUVTl, XCCi<br />

6 rhos fal tov 7ti,xvxA,ov litl TK avTcc plv TOVTG) xivq-<br />

ro5 TCCIVTI.<br />

2 TOV #i/>] TO^K B* 3 svsvfx&tls B, em. apogr.<br />

5 rr/v]^ TO B* 77 add. Mart. 6 snifvui B, em. apogr.<br />

7 ^co B*. an dizl&ov? TteQicpSQsiav] cpSQfuxv (lineola per<br />

a ducta) B* 9 #' del. Mart. tol ? B* H<br />

B* 16 fWfVTpov B*


xa<br />

DE EPICYCLO. 163<br />

OVV, TOV rtlXVXoV CpQOllVOV V1tVKVTlO}g<br />

TKt TtCCVTL,, TOV falOV XCCTCC TOV 7tiXVXkQV


164<br />

BE EPICYCLO.<br />

TO v sitl TO | TTaQTr}[iOQi,aiccv rr\v v%<br />

xccl TOV<br />

xvxhov icptiqpoxirta r& %$' o ds ^Atog, xti/^O-ftj<br />

Tats ngotiftsv rr\v vcp [rtSQi TTJV vy] 7t$t,cpQiav,<br />

6TG) 7tl TOV %'


DE EPICYCLO. 165<br />

Inl TO n, TOV IniKvxkov [iTaflaivovTO$ ccnb TOV o<br />

Inl TO v, 6vvTQ%K>v awa tr^v Inl TOV fydiccxov fA, avTicpsgonevog T eavTov<br />

Pgccdstav<br />

diaxov yoQav.<br />

cpawtTcu noioviievog TIJV Inl TOV cj- 10<br />

svQiGxsTai, ds nafav TO yLtyeftos TOV InixvxAov xal<br />

6 Aoyog TOV ^LBTCC^V TCQV XZVTQCOV nobg tip tr\ TOV ^<br />

tnixvxhov (did[jieT()ovy vnsvavTias rc5 nQOGfttv, cog xd'<br />

tv, diet Trjg n$l anoGT^caov xal iisysft&v ngay- 15<br />

TO V' 1] vnQO%7] TOV<br />

nobs TO kd%i(}Tov did{iToog yivvtui TOV<br />

xr' nixvxA.ov yao xal -^ TOLCCVT^ yivvtai<br />

TOV rKiov TO<br />

x ad r\ pergens e. q. s. Ohalc. 82. rV<br />

711 TOV gtodLKKOV CpOQCCV' UVU7tul.IV Ss UTtO TOV \ 7lKQKyiv6(Jivos<br />

Mart. 1<br />

suppl^ n~] T B* 2b inl'] fiv B, pav ertl Mart.<br />

3 TUVTU] ruvTo. B*. sol demum a v. ad q pergens concurrcre<br />

videbitur mundi circumactioni et adiutus ab ea propere et<br />

citius obire zodiaci qiiadrantem Chalc. yivopivr) Mart.<br />

4 GV^KLVOVGU B* 6 i] B* 8 fp'l- add. r/> Mart.] in B<br />

spatium vacuum rel. 9 inl TO add. Mart. 13 x B*<br />

77]<br />

Mart.] in B est nota voc. -HSVTQOV 14<br />

subaudiendum esse put. Mart. TOO] TO B* xd^'J 17<br />

B* 17 ^f] -y B* 9v] &? B* 18 TO] TOV B*


1G6<br />

DE ECCENTHO CIRCULO<br />

6 & rov ttkav&iievov xvxkos xaO-' STSQOV<br />

rivbs yxVTQov [o^iox^vrgov] cpQrai xvxkov, olov<br />

rov<br />

AA' on [iv xa xarQKV tj\v vitosGw, rr\v xar<br />

5 KXVTQOV XCCi Xlf\V MUT* ETllKVK^OV , GKi^BTCii TO. (pCUVO-<br />

dsLxvvtiiv IK TOVTCOV.<br />

f<br />

'l7i7taQ%os de (priGiv a^iov<br />

lieva,<br />

slvai na&rj[Jia'Cixfj$ ejuGTatisas Idstv xif\v aitiav Si v\v<br />

rotiovrov dicHpsgovGais vito&sGsGi,, rfj rs rcav exxsv-<br />

XQOV xvxhav xal TCOV buoxevTQav xal r&v<br />

10 TK KVTCC CpKlVSTCil CiKOkQV&iV. dsiXWtil $<br />

"<br />

ngarov plv nag rij xar' fmxvxkov 7tTcu XCCTK 6v[ifl-<br />

(trjxbg % xccta XXVTQOV' cog df tya qp^fu, xal rfj xccra<br />

'<br />

7tixvxAov.<br />

, XSVTQOV<br />

Mart. 2 O^IOKSVTQOV del. Mart.<br />

B* olov} ots B* 3 (Liro^ B* 4<br />

TQOV B* 8 ^taqpfpovffccig] diacpQ8i B, dtaqpopoi? Mart.<br />

df rov<br />

qpcu-<br />

9 rr ante rmv oioxfrrcov add. Mart. cf. p. 185, 14. 186, 4.<br />

'i!,-j'.i,Tnr>i, "R* 1^^1?"R*<br />

199, 6<br />

B 13<br />

14<br />

12 fl ri B*<br />

B*


ET EPICYCLO. 167<br />

itavtbg to O1<br />

, rjMov ds 7tixvxkog o )?x, Xvtoov ds<br />

avtov to xal ft* yeyQccyd'G) xvtQK> [isv to) #<br />

ds rw #ft, xuxAog o pov%. Asyco oti, tov p xv-<br />

xivovpevov Ttsgl tov pov% xvxAov opo<br />

, vjisvavttas top navti^ xccl Gwaitocpsgovtos tov 5<br />

o tffaos sv l(5G) %Qovc) diavvov tov exrj<br />

tov XKvtOv I'tiov ovtK t<br />

iiti-<br />

, snl ta avta ds rco navtC, ygatysi xccl<br />

Gav yag ai ay (}d di,d[itQOt, tov tySiaKov 7t$bs<br />

ccMfacus, C3at to psv a


168<br />

DE ECCENTRO CIRCULO<br />

r\ 6v rri &v' xaroa ago. rav 6 6v far} etirai rrj ex<br />

rov xlvrgov rov {iov% xvxkov' edsfy&r} ds xal<br />

Atf 6% for] rtj x rov xwrgov rov avrov xvxhov*<br />

ago, ai as tfA , iv re* avrc) %QQVG)<br />

opoiav rov titwvxhov rr\v x, i'Grai fill rov A, xal ano<br />

rov 7tl ro A &v6rai rsragrrHioQiaiav yoa^ag 3tQi-<br />

cpQiav rov fxxwroov rr\v L nakiv ro o xtvrgov iil<br />

20 rov xvxhov ivr\viy%& rsraQrrniOQLaiav rr\v ov itQi


ET EPICYCLO. 169<br />

7tOQV&VTOg TTJV v|, TJ/AtOg TOV IjtlXVxA.OV<br />

TYJV vcp' k'tiTcu drj 7tl TOV %, y.ata.<br />

tv\v v% o[ioiav 7tQicpQiav rov<br />

ds rov J duk&6vto TYJV ft, nai 6<br />

$ ttitoxciTaGta&iJGsTai,<br />

litl TO E<br />

1]V % 7CQl(pQiaV TOV XXVTQOV Xtt<br />

G)GT okov TOV iniKVK^ov l^avvGas 6fiAc5g dice<br />

TOV OHOXEVTQOV ygd^fi, KKVTQOV' 07tQ $(,<br />

TO UVTO Xttl OVTG3$.<br />

fifv 6 apyd, r^Ubv d 7tixvxAos o affix, TO ply xw- 10<br />

TOOV %(t)V Jll TOV /LlOvJ Xt[l<br />

TO & XVTQOV TOV TtKVTOg'<br />

V7CO i]v g<br />

XCtl (>TG) TO<br />

, TOV X


170<br />

DE ECCENTRO CIRCULO<br />

v7tvavriG)s TW nccvrt, b rjfaog v TCO avra) %QOVG)<br />

livog xara rov o? fTtwuxkov 6ftAeog [iv xal v%vavriag<br />

rip 7tiKvxk* ovrog &QK<br />

k'tirui b x-<br />

i ovv JtccQcckhr}A,o$ rj Jir) rrj Q&, i^r\ rj cp<br />

yavia rrj r, rovrsGri rrj 7trj' b^boia CCQK r\<br />

7t' aQ^apfvog<br />

dl (b rjfaosy cutb rov , xarcc (?vft/3/3^xog yQKtyi KOI<br />

20 rrjV 71 bfJLOiCCV 7tQl,(pQl,aV rOV XXVrQOV. OflCHCOg 6f<br />

rovro itoi&v KSI' G>


ET EPICYCLO. 171<br />

rbv 7txvxhov dice Tov tyxevtQov o'Aoi> ygaifjsi xal sx-<br />

XSVTQOV o7tQ sdsi dei%cu.<br />

dst,xrov ds xal rb avaGTQs'cpov. 0ro yctQ ndfav<br />

tydiaxbg psv 6 /tyd, diaperyog ds avrov y ay, xal<br />

xsvrgov<br />

ro O1<br />

, rjMov ds xvxkog SXXSVTQOS *Ai;|" xal s6rG) 5<br />

iev avrov TO s vno e $ [IOLQKV rcov<br />

v, XSVTQOV ds iitl TT] ttd1<br />

ro 7^'<br />

xccl ysyQKy&G)<br />

[isv TW ^, (5 laGx^axi ds rc5 qs, xvxA.o$ 6<br />

KSVTQCp pV TG) ft, d LCCGtlJllCCT i ds VG) fA,<br />

a) 6 sfyx' dfjfov ovv cog ovro$ stirou o 10<br />

ccvrbg tea eTtixvxkc). kfyco dij on, 6 r^hog<br />

xccra rov shv% SXXSVTQOV y^a^si xarcc<br />

xbg xccl rbv sfyx sjiixvxkov cpsgopsvov bpa^css<br />

xal t


inl<br />

raig<br />

5 8GOVTKL<br />

10<br />

o<br />

rov<br />

[ivo$'<br />

xal ohov diKvvGag rov xxvrQOV 6 ^'Atog okov<br />

rOV SltiKVKkoV 03tQ fdfl, dt%ai.<br />

ro d' avro<br />

15 rccvra 6f xcd inl rav aMcov n^avo^vcov<br />

rca. 7ckr\v o pv YI^IOs B<br />

17 cf. p. 184, 18 18 CCVTOVS B* rov TS suaatov: haec<br />

verba iterantur in B post 7ti6Konov[ievois vs. 22, signo 7 ante<br />

TOV TS et post Sfxacrov posito (B b ) TS supra voculam ftfv<br />

deletam scr. B b 19 TOV del. Mart. 20 EIVKI om..B a<br />

21 TOVS TtteiGTovs B* i'accs B b 22 T|'] TS B*<br />

24 Siuvvstv B*


ERRANTIUM JttOTIBUS. 173<br />

Tooitijv xal drtb farmsQias iitl tr^v avT^v 161]-<br />

TtagayCvsTai, TOV si'ori^svov tivvsyyvs [xvxlov]<br />

, TtKQK TSTQaSTiaV 7tl TO ttVTO 6r]^lSiOV TOV ^1}]-<br />

xovg avTov xaTa TYJV avTyv cogav<br />

rbv ds rrjg avona^iag^ x0^' 6V aitoyeioTaros<br />

xal dt,' avrb T\I iilv cpd(>i TOV {l<br />

ds XCCTK vrjv i$ ta ino^eva (pogav, rj avaxl<br />

dia TOVTO [isyiGTog [isv r


ag aito rov ii6ov ro> Ttavrog avovg<br />

r dia rag ngbg rov dia ^l


ERRANTIUM MOTIBUS. 175<br />

cos ovdlv diacpsosi, rtabs TO Gco&tv ra<br />

cpaiv6[iva, rovs JtAdvijras tiara rcov xvxkcov, cos &UQ-<br />

QiGrai) Kiytiv xivZ0&at, 9 ij rovs xvxAovs (pfQOvras IK<br />

rovrcov 6c6[iaTa avrovs 7tol ra L'dia nivrga. XLVslG&ai,'<br />

hsyco ds rovs V^v syxsvrgovs, (psgovras ra rcov irtwv- 5<br />

xAcav XEvrga, Ttegl<br />

ra, avrcov xsvrga Kweitiftai vitsvav-<br />

ricos (rco itavriy, rovs $& STtixvxAovs, cpsgovras ra rcov<br />

rov {LEV pKvt. fyxfVTQOV<br />

nafav ite^l ra avrcov xevrga, oiov<br />

jceol re &, rov xav-<br />

rbs xal iavrov XEVTQOV, vitzvavrCcoq rep itavrC, cpEQOvra 10<br />

7tl rfjs avrov jt()i,(pEOias rov (ETtixvxhov TO> ft xev-<br />

rgov, rov


176<br />

DE STELLARUM<br />

XVXkQV TOV fhvfc, 7Col XSVTQOV TO JC,<br />

7tl ^t<br />

X XVTQOV, fpOOV TOV l]faov ivQK-<br />

TOV xoTt xvxhov, i


i'Gov r


178<br />

DE STELLARUM<br />

iv rco 'ETCivoyLico nqvvsi, cog okiyov vGrsgov s'6rai<br />

TCaQars&eiticav rcov A,s,scov avrov.<br />

xal 'slQLG'TOTskrig ds iv rotg Jtsol OVQKVOV<br />

dia Tchsiovcov dsfeag TCSQI rcov aGrgcov., cog ovrs di<br />

5 [tovvrog avra cpsgsrai rov ai&giov Gco^arog ovrs<br />

ovrs pyv divovpsva ovrs xvfavdoviisva, paMov ds VTC<br />

ixeivov cpsgsrai ra aTckavi] no^Ka ovra, VTCO<br />

rrjg exrog, rcov ds ithav&pdv&v sxatirov sv VTCO<br />

10 GcpaiQcov, Tcdhiv iv rco A' rcov pera ra cpvGixd (py](5iv<br />

Evdo^ov rs xal KdkkiTCTtov 6


ERRANTIUM SPHAERIS. 179<br />

ayfkrj fifV, dice ds Tovg Tonovg KviGorcc-<br />

cpooa Kara, Gvufepqxbg (paCvtTai noixttwg r^dr] xi-<br />

xal ygdcpstv Tivag xvxhovg xxVTQOvg i\ xal<br />

xvxh&v xi[ivovg v\ Tivag f'Aixag,<br />

cov oC pa&iyfumxol xivstti&ai, vopifcovGiv CCVTCC, rrj 5<br />

aTtarco^evot. littl ovv (pctivftai [isv Gvvajto-<br />

VTtO TOV<br />

iitl dv6tSj avTicpeQsG&ca 61 Ti]v LS rcc<br />

Kara Ao|oi) TOV tydiaxov \Ltxa.$a.6iv, xiVl


180 D STELLARUM<br />

iv shdrrovt, (psQsrai, diatirdctsi, floQeiOTSQOV re xai vo-<br />

ywopsvov rov dice plG&v r&v Z&dfa<br />

tAav&iisvnv sxatirov dice rsrraQ&v,<br />

[av rig vTtohdfirjrai, GsiQijvag] x#' f'xatirov sre-<br />

5 pa?, dt' r\g xal TO {td&og snatirov 7toir\6irKi. KuKkiit-<br />

df, xaQiGTov KQOVOV KOI z/tog, roig aAAotg xal<br />

nvdg^ qpTftft, TtQoGsTi&Ei (jgpa^ag, ava dvo [iev<br />

xai (Ss^vr]^ rots de AOLTCOIS


VG)V<br />

xal<br />

EEEANTIUM SPHAERIS. 181<br />

v rrjs dsGsas xal rovg tonovs xal ra [leyed?} rag<br />

frarrov, rag ds pQccdvTSQOv 7tl tec ivavxia ipsQeGd-at,<br />

a%ova$ tdtovs xal AfAolco^cVovg TCQO g rrpr rav aitku-<br />

TO. TOVTG3V<br />

xara avra 5<br />

doxstv (Svvd&ovs xal dvco^d^ovg xal noixttag<br />

noitlG&ai tpogag. xal yqayovtiC nvag xvxAovg<br />

(pcgovg, zovg plv tyxtvTQOv^ rovg df<br />

df 7tixvxA.ovg. Vxa dl rijg lvvoia$ r&v<br />

7tl PQK%V xal TtfQl rovr&v lx&rov,<br />

avayxaiov fig rdg GcpaiQOTCOuag<br />

(3TO<br />

TO<br />

rov iv<br />

ai ay /3d' xcu VQELG&G) 6 afiyd<br />

rovg<br />

xara TO doxovv 10<br />

XV-<br />

xal dice iL&av rtav tydiov ETSQCI de rtg vytoxdra 15<br />

5 xtu ante v.ivr^st del. B 12 in descr. omissae sunt<br />

literae ^x^igjto 14 at] T? B* 15 SE Tig] r t ns B*


182<br />

DE STELLARUM<br />

amrjg nzQi TO avrb XSVTOOV KOI fa] GcpaiQa nkdvyrog ?;<br />

8Q0T Xttl TtftVlfj, 8V fidd-Sl TOO Bit' 8V $6 TOJ fld&i TOVTG)<br />

6T$a GcpcctQct -r\ f&rtj, svso'T^Qi'y^svov sv ccvrfj cpsoovtia<br />

ro 7t^avco^vov xara TO s. xal nation (pSQfa&nGav enl<br />

5 TCC avra 6ftAc5g anka$ xivqffttfS<br />

u avaTok&v enl dv-<br />

GsiS, iiovYi ds i] TO nluTos a(pogi^ov(5a TOV<br />

7tl TCC VCtVTLK CpSQSGd'G) , 7J<br />

Slti TO, KVTK [18V,<br />

ds dice pgadvTiJTa' sxaTsgas yap (Jcofrfosrcu TK<br />

AA' l] {lV TG)V KTthaVMV 7t()l tt^OVCC (rOV^<br />

10 TtQog og&ag rw ............................<br />

............... avT(p inmsdcp 8v w etiTi xal o TO<br />

jthaTog acpOQi&v xvxkog 6 Aoo ngog TOV diet [isGcov<br />

TG)V %O)dlG)V.


EREANTIUM SPHAERIS. 183<br />

TtooTsoov EV T(p KVTK)' xal EGTCO<br />

XEVTQOV rijg 6 EX-<br />

aVTOV ETtl TCC 15<br />

EVCiVTiCt, TK) TCKVTl' do^Et, $ TOig KTtO TOV & OQCdGl Xttl<br />

TOV afiyS fydiccxov diavvEiv, stg TK eitopsva<br />

vitEvavTiG)$ TTJ TOV TtavTog cpooa' cpavrjcfEtcu ds xcd<br />

TOS XiVl


184<br />

DE STELLARUM<br />

xivetG&ai) oiov Kara TO a GrjfjLstov TOV ^adiaxov,<br />

dav rrjs GTQag Gyaigag to XVTOOV 7tl<br />

Trjg a& v&iag<br />

XKTCC TO /it, avTo ds TO jiAavcopfvov xaTa rb<br />

'<br />

Kara, de<br />

TovvavTiOv dfl TO J.a%i6Tov anotiTrnia ct7to6Trjo'Tai xal<br />

5 TCC \iiyi6ta do&i KivtiV a y 9?' xctToa 6 iv rc5<br />

/3<br />

oiov TK (p o' a Tiva itavTcc


ERRANTIUM SPHAERIS. 185<br />

r tray{levy * Ao|/5 ds xal dice pgadvrrjra povov vitokeiito-<br />

lisvr] rcav ankavKtv rj pia rrj (psgovGrj rr t v GrsQsdv,<br />

rovrstin rov sitixvxkov, inl ra svavria (pSQO[isvT] xara<br />

tivppsprjxbs sitiyivsrai Jtoixttrj xal Gvv&eros av&iicdog<br />

rs [xal] ov6a yoga rov jtAavopevov , dice per ...... 5<br />

........ sis fee ejtopsva rcov ^cpdiov ywoiisvq rj 6V-<br />

T&$ T) xa-0<br />

'<br />

1<br />

VTCofauluv, diet ds rrjv<br />

Aol-aGiv iv<br />

rivl rcov t,(pdic3v ^eoQOv^svrjy diet de trj<br />

TifQi rov ccvfrjs aova div^iv Ttorl ply iv v^si xal dia<br />

rovro flQccdeia doxovtfa, noT ds sv pd&st, teal dice rovro 10<br />

r%vr(), xal aitAas ai/o'^Aoff, dia ravra ds xal xara<br />

rov titixvxAov yivo^isvrj xal xara rov sxxsvraov do-<br />

xovGa, drjhov cog slxoros xal ai rav na&rjiian,xo)v vxofi-sasiS<br />

rfjs yogas avr&v, % rs xar' eTtixvxfov xal xar'<br />

sxxsvrgov, aAAijAig enovrai xal GwaSovtiiv, sitsidr] 15<br />

rrj xara tpvGiv, xara (5v^^r\xog ds, dxo-<br />

, o xal &avpat> i<br />

r<br />

'lmtaQ%os, [idhtira snl rov<br />

dia ro Ufoffloviov rtjg rav Gyaigav avrov tpogag<br />

aTtaQri^onsvov, enl ds rwv aMav ov% ovrag<br />

dia ro p,r\ iv reo<br />

avr(p %Qovcp rj]v Gregtav 20<br />

Gcpatgav rov Jt^dvrjros drtoxad'iGraGd'ai, sv c? rj<br />

rrj$ rav aTtAavciv rj vnohsiitsrat, ^ snl ra svavria<br />

1<br />

SQ%srai, AA' scp cov {isv ftarrov, scp' cbv ds pgadvrs-<br />

G)6rs rag oftoAoyovg avrav xivyGsic;., xal xara ra<br />

1 lor) B* 2 r} pia] rj pict B* 5 xat del. Mart.<br />

dia (isv . . . ] pict jttfv rj B, lacuna ante [iia vacuo spatio com-<br />

plurium literarum indicata: excidisse videntur verba rr;v rrjg<br />

Mart. 7<br />

xot'/lTjg cpoQccv vel similia. xat juiia [iev rj<br />

B* 8 rj\v add. Mart. 11 xara] dta B* 17 r<br />

cf. p. 166, 6 ini\ vno B* 19 UTtKQrL^Ofievovs B*<br />

21 yioilir) rf^g] xot/LdtTjg B*


186<br />

DE STELLARUM<br />

avra 6rj^sta rov Gcpaiocov pi] xara rovg avrovg roTtovg<br />

Gvvavrav, AA' del Ttaoakkdrrsiv, sivai de xal rag<br />

Ao^oj'o'ftg rcov Gcpaioav ev Ttheiodi nkdrsGi) dice ds ravra<br />

rovg re [rovg^ anoxaraGrarixovg avrdiv %Qovovg rov rs<br />

5 {lYjxovc; Ku\ nhdrovs xal pd&ovs aviGovc; sivai xal dicc-<br />

fpOQOVSy


ERRANTIUM SPHAERIS. 187<br />

sv TGI fidd-ei ravrqg Ttsol to avrb xsvraov c<br />

liixoordrr}v [isv xal ovrcog GrEQsav TY\V rov ^AtW,<br />

ds ravrriv rr\v rov Grikfiovrog, sira d^cporsQag TCSQiSifa]-<br />

cpvtav xal TO TCav fid&og rtjg xoi^g xal xowfjg ithrioov-<br />

6av Tqv TOV cpaGcpoQov' di,' o TYJV {Lev Kara rb ft/j^og 5<br />

dice TMV <br />

01 TQstg OVTOI TCoiovvrai) rag ds aAAag ov%<br />

aeC rs TCSQI aAA^Aov<br />

fiavovreg xccl xarccAapfiavoiisvoi xccl<br />

, rov ^i\v EQJIOV rb Tckeitirov sinoGi TCOV kuot^ag 10<br />

rov r^Mov rtgbg 8ti7t8Q<br />

) rov ds rrjg 'Acpgodirvig<br />

rb nksltirov<br />

xovra yioiQKg. VTConrsvtists d' av


188<br />

xa<br />

DE STELLARUM<br />

dnb v xal TV%OVTG)V xal<br />

ra<br />

xal &sta elndtiai, TOV<br />

xarsi^vy^evov xal KXIVIJTOV' cos<br />

xotipov ds xal fi xotffiog xal wov Trjg ^v%iag peGov<br />

5 TO JtSQl TOV qfaoV, OLOVSi XCtgdlKV OVTtt TOV TKXVTOg,<br />

o&sv xa<br />

qxeiv TOV r&ia\)ivv\v<br />

ano T&V<br />

TQOV vito&sGeav eitopv


ERRANTIUM SPHAERIS. 189<br />

ov [iqv tfqpfu'pag, aAAa xvxhovg eivai ra<br />


190 DE PROGRESSIBUS, STATIONIBUS, REGRESSIBUS.<br />

ds ^ors yaivovxai itQOYjyetG&cu rs zed Grr]Qi-<br />

&LV xal dvKTtodi&iv otioi r&v itAavrjTcov xccl ravrcc<br />

Ttoistv doxovGt, dfflcoT^or. stiro tydiaxbg p&v 6 afiyd<br />

7i8Ql rb # rov navrbs KEVTQOV, X^KVTJTOS tie<br />

5 o ^, xal KTCO TTJS & oi^sog ^(^v tjffic30civ<br />

rov BTCiKvy^ov at &&.> &vL xal dice rov ^ rov<br />

vj &{iea. STtel<br />

9<br />

ovv sit ev&efag<br />

b tfrr/0 t-itl plv rov<br />

rqv ds<br />

10 tydiaxov ri]v xa sig ra<br />

rr\v sv diavvOccg do&i rrjv A Tt<br />

iitl rov K<br />

do^ei rov<br />

81 rqv v diaTtogev&els db&i tv\v Ax sis<br />

t7l6pV(t r&v fydiav avaitSTtodixevai' xcd rcH {ilv<br />

inv xal Ttgcorcos avrov ano%&QG>V) iitl rov K


ov<br />

DE ST. ERR. MEDIIS DISTANTIIS. 191<br />

TCJ v xal avrov, ndfav ttirdvai dofei, xal<br />

><br />

rovg evroi 6T7L ov<br />

xal<br />

xal rug TfQorjy^sis xal v<br />

AAore ev ahhoig TtOirJGsrai, ^w^totg xal<br />

Sia to xal rov ejtixvxhov Bxdfftev del<br />

sis ta 7c6^iva Jj iLetafiaiVQVta iq v<br />

, ojtoia TIOTB i


192<br />

DE ST. ERR. MEDIIS DISTANTIIS.<br />

rgov, xlvrgcp $ rc5 p xal dLaGrr^ian tea pe rbv %vri<br />

7tixvxhov, yavBQOv cos 6 a6rr\g xara rov jtixvxA.ov<br />

cpooiivosi 7tl pv rov s 6ri[iio<br />

aTto6rri


DE ST. ERR. OBSCURATIONIBUS. 193<br />

tavtqv aC tcav rthccvcopwcov, v fj td%i dicoQL6a[iv,<br />

cog n ^ V tehjwi) Ttgoayfiotdtrj OVGK, na


194<br />

DE SOLIS DEFECTU.<br />

ov xara ndvra ye ^va' ovr (ydo Ttdtiaigy ralg<br />

xal tfvfifwivfais fayopwaig yfoog Infoine^ ovr<br />

ratg navG&rivoig xdcaig r\ Gehrjvrj, did to rovg<br />

avrcov itokv AAoc5


DE LUNAE DEFECTU. 195<br />

rov [iv {irjxovs rav fydi'av Kara ryv avrr\v poZgav,<br />

rov ds TtAdrovg py xara rqv avrrjv, AA ro [ilv /3ocpaivrirai,<br />

r&v atiroov., ro ds vonwrsgoV) OVK<br />

??AiO ovd' sxfafasiv do^si.<br />

litl ds rijs GsArivris cod' av ysvot.ro (pavsgov. on 5<br />

yaQ sts ^n v T ^S Y^S i(Uttitrov6a<br />

Gxiav nore<br />

, 3toM.aKi$ ei'gqrai,' cog d' ov na& sxatirov<br />

P<br />

s<br />

7tsl roivvv iit ev&eiag rav gpamJoVtcov ai<br />

nal ai avyal itiit'tQvGi xal TtagankriGCcos (Svve^sig rav- 10<br />

rats CCL crxtat, orav ply I'tiov % ro r cjpcortjov<br />

xal ro<br />

rr\v Guiav ?to/3AAov, GcpaiQwa ds ^9?co, yivstai ^<br />

[df] c?xt xvhivdQMri nal tg ansiQOv XTcfarovo'a. olov<br />

f'cfrco (parit.ov yilv ro a/3, (pcori^o^ifvov ds ro yd, i'o'a<br />

d aAA^'Aofcg KKL GyaiQMa' cT^Aov ovv cog rrjg ys ay 15<br />

axrtvos noi rrjg {Id sit ev&sfa EmtMirovG&v , sitsl at<br />

/3 yd didyizrQoi, iGai xi ziGiv aAAtjAatg nal Jtabg OQ&as<br />

raig ay ($d CjpjtTOftVtg, ^a^aAA^Aot tcfovrat,<br />

xal ai<br />

3 VOTLCOTSQOV: i corr. ex si B 5 inscr. TCSQL<br />

8 tres quae sequuntur descriptiones desunt in B,<br />

sed exstant apud Chalc. 10 ravr/jg B* 12 ytVrjrat, 17 ds<br />

Gyiia Mart, ergo cum ignis lucem praebens aequalis erit corpori,<br />

ex quo emicant umbrae, si tarn ignis quam corporis gloibosa erit<br />

forma, umbrae nascentur in modum cylindri Chalc. 89 13 !/*ninrovaa<br />

B* 14 qpcoTt^o'ftvov] n^oG^u^uvov B, nQO^KfiK-<br />

vov Mart, quod vero illuminatur Chalc. 16 @8 Chalc.]<br />

QKI ju-ff<br />

sd B<br />

{Jirtl7tTOV6V B* 18 SCpU7tTO[JiVCCS B, Cf. p. 190, 5, KKTS-<br />

ovv Mart.<br />

13*


196<br />

DE LUNAE<br />

ps d en aitUQOV fafiaMopevai ov GvyinsGovvTai' rov<br />

ds roiovtov jtdwtod'sv yivopevov dr\^ov cog tijs yd Gtpai-<br />

QCXS 'YI GKIK nvkwdQwri ts k'tirai KKI iit aiteigov<br />

TtTOVGCC.<br />

1<br />

5 CCV<br />

[JiSVTOl, TC Cp&ti^OV shcCTTOV OLOV tO fl , T^O ,<br />

d CpG)Tl,6[lVOV [ISi&V, OLOV TO<br />

G%rnian k'tirai,<br />

a' iti yap<br />

Kv auTlvs 7t<br />

ywqGovtai,,<br />

g, ex' anugov<br />

j\ nk did[itQOs<br />

10 rovr' eCrou 7tavra%6d'v<br />

1 8] d| B* 6 xl Chalc. 90] -r\l B anta add. Mart.<br />

manifestum est uml ram orbis nl quaeest x^v in formam quidem<br />

effigiari calatM Chalc. 7<br />

_ xa^a^ogt^ag B* 8 xl Chalc.] ijl<br />

B at<br />

xjS ^v] xat i^^, ju-v B*, rjxjtt et ^v Chalc. 9 axrtvss<br />

bis scr. B* spnlmovGcii B* 10 yvrj(>Ta:t B* rov<br />

T &7tca B, rov r" IWat Mart.<br />

iv<br />

TO<br />

a


DEFECTU. 197<br />

*dv $ avdnakw TO psv ? OiOV TO JTp,<br />

d df ayupG), dfaov on rj TOV TIQ


198 DE INVENTIONIBUS AD ASTROL. PERTINENTIBUS.<br />

xal rc rrjs yr}$ nal TO rrjg (S^r tvrjs 9 dia psGov rov<br />

6xicc6^iKros Gskrivr] lovtia oArj exkefaet,' ore ds<br />

fit] [levroi, in sv&sia^ eviore ov% okrj' ra<br />

^>YI xccra rov$ 6vvde


DE ASTROLOGIAE PRINCIPIIS. 199<br />

on j] (jsArjvr] x rov faiov %u ro (p&g xal<br />

rCva xA,iJti, rgonov. oi ds hoirtol itl s^Evgrjiievois rov-<br />

rOl$ 7t%VQOV TQtt' On 01


200<br />

DE STELLARUM<br />

rovrcov q dia^iov^y OVK dv r\ ev rco Ttavrl rd&g<br />

'XJ&eC'Yi' rqirov cog ov Ttheiovg ovde eAdrroveg rcov % 01<br />

Tthavcopevoi,' Kal rovro dqhov IK [laKQat<br />

eitel reragrov ovre Ttdvra ra ovra KiveiG&ai<br />

5 etinv ovre Ttdvra \aivsiv , AA ra [iev KivetG&at,, ra de<br />

, oftoAoyat^at del, riva ev rco Ttavrl neveiv %Qy\<br />

rCva KivelG&ai. (prjtil d' cog yrjv [lev %$ri ol'e6&ai<br />

siv, etiriav rov ftecov oi'xov Kara rbv Il^drova^ ra<br />

de Tt^avco^ieva 6vv rco Ttavrl Ttegifyovri ovgavco KL-<br />

10 vetG&ai,' rovg de ra Kivvira Grritiavrag, ra de amvifira<br />

Kal edga KiviqGavrag cog Ttagd rag rfjg<br />

ev de rovroig tprjGi xal Kara [ir\KO^ rovg<br />

vovg KweiG&ai Kal j$d&os Kal Tthdrog reray^ievcog Kal<br />

is 6ftAc5g Kal eyKVKMcos., ..... qyriGdiievoi, OVK av


ERBANTIUM MOTIBUS. 201<br />

airiav zivau Kal rov nAdvov Kal rrjs f'Atxog rr\v Kara<br />

Aojoi> rov geodtaxov KVK&OV mvriGW Kal yap STteiG-<br />

Kal vGtSQK r) Kara ryv efaua Xivqois, IK rov<br />

rijs n$l amove; Kivr^Gsog djtorA.ov[ivrj. ngore-<br />

de %Qr\ sfastv xv\v Kara, rov Aoo ngoriyovpevYiv 5<br />

tO[iEvr] yap rj eh% Kal 01<br />

itagairsirai Kal rr}$<br />

airia$ slvai rag SKKevrgorrjras '<br />

Kara ro<br />

Ttegl ds f'v Ksvrgov n ro<br />

avrfiq Kal xotipov ^ysirai rots 9UXf ovgavov (pQO[is-<br />

VOL$ 7ta6L rr\v KivY\6iv slvai, Kara (Sv^iftsftrjKOs VTtb rcov 10<br />

ov Kara n Qor^yov^ivr^y', cog eTtdvco snsdsi-<br />

5 itLKVKA.G)v Kal rav SKKevrgav KVKJ.COV dia<br />

rov rav eKsyrov d&ov QayoLevcav. dvo<br />

rr\v<br />

car iv roH irav Kar 7tiKVKov 15<br />

Kal yKvrQOvg Kivirai ra aGrga, Ka& r^v KIVY\GIV Kal<br />

rov$ KKvrQOvs Kara Gv^i^B^r\KOi$ yQcupM. (prjGl d Kal<br />

Kara [ilv rag vjftsr^^as cpavratiCag dvco^id^ovs ivai rag<br />

r&v nkavcayisv&v jai^'tfftg, Kara d ro vnoKsi^vov Kal<br />

rdhri&s oiiakds' TtaGi dl ryv Kivri


202<br />

DE AXIBUS ZODIACI<br />

, o tecs psv (pEgovticcg, rag df<br />

. s%l de rovroig b^oloyov^Bvoi^ TCSQI<br />

6av rr\v yrp> rov ovgavov 6vv rotg atitooig yysZtai m-<br />

VEIG&KI, v oiiakcctg xal fyxvxMoig<br />

5 re nccl Gvpcpcovois tyxEVTQOis rs xal<br />

nal rama$ Gco&iisvag xal naga JIAarom c<br />

rag vito&e'iSeig.<br />

KIVOVVTKI ds Oi [isv ajtkavstg Jtsgl<br />

itck&v a^ova ^levovra^ oi ds TC^KVCQ^EVOL TIEQI<br />

rov dta rav<br />

rov rov<br />

10 ^codicMov rtQO$ og&ag ovra avrip a%ova' a7t%ov6i d'<br />

ahhrikcDV o rs rcov aitkavcav xal rwv Tthav&iievcav a^cov<br />

TtsvreKaidexa'ycovov nhevgav. dt^o: psv re^vei rov<br />

dianos [isyitirog av' rfjg de rov Jtavrbg<br />

sig r% iiotgag diK^ov^iEvrjg o tydiccxbg<br />

15 ExarEQKt&fv QTC' poljpog KTtohayifiavEi,' o dl a^cov rov<br />

G)$ICCXOV Ttobg og&ag &v dix a diKiQEt rag<br />

lorca $ 6 fydiaxbg cnto rov %i^^iv<br />

ETCl rOV &QiVOV' i(3i d KTtO [iV rOV &QIVOI- 7tl<br />

rov uvrciQuriKov potQKi A', &g 7taQadtda)6i,v<br />

r<br />

'Iit7taQ%og,<br />

20 Kito $ rov avraaKnxov f*%^t rov jroAov rijg aithavovg<br />

Gyatoag poiQcu roidxovra %' (yvvK^Kpo d, ccTtb {ilv<br />

rov &EQIVQV liB%Qt< rov nokov rrjg rcov aTthccvav


ET STELLARUM INERRANTIUM. 203<br />

xd'y xa&' o sl'rj av 6 tto'Aog rov <br />

afcovos Ttgbg OQ&CCS ovrog res ^cpSiaxci. homed drj CMC<br />

rov Ttohov (rovy rav Tthavo^iEvov a^ovos [IOIQKI ETtl<br />

ra &EQiva nsgrj rov dvraoxnvov i$' '<br />

ai itatiai yap i]


204<br />

DE ST, ERR. MOTU TORTUOSO.<br />

ygdcpovGiv v ty ditb tfapaAAfjAoi; 7tl jrapaAA^Aoi/ dto'dco<br />

bpoiav xy tcov a^JTf'Aow ehm' xcc&drtSQ si' XL


EPILOGUS. 205<br />

rijs ev xdtfftco ravayxata navta e$ij sjtri'y<br />

Ti?i/ Ttsgl aGtQoho'yias TtccgadoGw<br />

- -<br />

ravrqv<br />

xal nhdrav ev rot$ fi'0'^(?t iti\ntrr{v elvat,<br />

xal TtSQi rovrov sv xscpcdai'ois TtaQadeiKvvGiv o QK- 5<br />

6vv oig xa<br />

1 lmr)yysdu[isd'ci: p. 47, 9. 93, 11 2 KGxgoloyCav B*<br />

4 ozsQscopstQtctv B* 5 #<br />

B* 6 Tr^osl^yaff^a-S-a B* relog add. B<br />

3 niccrcov: Civ. VII p. 530 ^


COMPARATIO PAGINARUM HUIUS EDITIONIS<br />

CUM PRIORUM EDITIONUM CAPITIBUS.<br />

c. 29 in. p. 41, 8<br />

De arithmetic a. 30 42 3<br />

c. 1 in. p. 1, 1 31 42,' 10<br />

2 16, 24 32 45, 9<br />

3 18, 3<br />

4 19 21 L' 6 inusica.<br />

5 2l' 20 c. 1 in. p. 46, 20<br />

6 23, 6 2 47, 18<br />

7 24, 16 3 48, 8<br />

8 25, 5 4 48, 12<br />

9 25, 19 5 48, 16<br />

10 26, 5 6 49, 6<br />

11 26, 14 7 53, 1<br />

12 26, 18 8 53, 8<br />

13 26, 21 9 53, 17<br />

14 27, 23 10 54, 16<br />

15 28, 3 11 55, 8<br />

16 28, 16 12 55, 11<br />

17 30, 8 13 60, 12<br />

18 31, 9 14 66, 14<br />

19 31, 13 15 70, 3<br />

20 34, 1 16 70, 14<br />

21 36, 3 17 72, 21<br />

22 36, 13 18 72, 24<br />

23 37, 7 19 73, 16<br />

24 38, 16 20 74, 8<br />

25 39, 10 21 74, 12<br />

26 39, 14 22 74, 15<br />

27 40, 1 23 76, 8<br />

28 41, 3 24 76, 21


208<br />

c. 25 in. p.


COMPARATIO PAGINARUM HUIUS EDITIONIS<br />

CUM PRIORUM EDITIONUM PAGINIS.<br />

p. 1 Bull. in. p. 1,1<br />

2


210<br />

p. 59 Bull. in.


p. 149 Bull. in.<br />

211


212<br />

p. 51 Geld. in. p. 32, 2<br />

52 32, 15<br />

63 33, 7<br />

54 34, 1<br />

55 34, 14<br />

56 35, 9<br />

57 35, 24<br />

58 36, 10<br />

59 36, 22<br />

60 37, 11<br />

61 38, 3<br />

62 38, 16<br />

63 39, 8<br />

64 39, 17<br />

65 40, 6<br />

66 41, 3<br />

67 41, 10<br />

68 42, 3<br />

69 43, 7<br />

70 43, 23<br />

71 44, 14<br />

72 45, 10<br />

73 46, 1<br />

74 46, 18<br />

p. 138 Mart. in. p. 120, 1<br />

140 120, 10<br />

142 121, 3<br />

144 121, 25<br />

146 122, 19<br />

148 123, 15<br />

150 124, 18<br />

152 125, 16<br />

154 126, 13<br />

156 127, 8<br />

158 128, 1<br />

160 129, 5<br />

162 130, 1<br />

164 130, 19<br />

166 132, 2<br />

168 132, 19<br />

170 133, 17<br />

172 134, 8<br />

174 135, 8<br />

p. 176 Mart. in. p. 136, 10<br />

178 137, 2<br />

180 137, 22<br />

182 138, 12<br />

184 139, 4<br />

186 140, 2<br />

188 140, 13<br />

190 141, 3<br />

192 141, 20<br />

194 142, 19<br />

196 143, 15<br />

198 144, 12<br />

200 145, 10<br />

202 146, 3<br />

204 147, 4<br />

206 147, 19<br />

208 148, 10<br />

210 149, 7<br />

212 150, 3<br />

214 150, 22<br />

216 151, 20<br />

218 152, 10<br />

220 153, 14<br />

222 154, 15<br />

224 156, 4<br />

226 157, 3<br />

228 157, 22<br />

230 159, 3<br />

232 159, 24<br />

234 160, 22<br />

236 161, 19<br />

238 162, 11<br />

240 163, 14<br />

242 165, 1<br />

244 165, 14<br />

246 166, 10<br />

248 167, 14<br />

250 168, 10<br />

252 169, 5<br />

254 170, 9<br />

256 171, 5<br />

258 171, 20<br />

260 172, 19<br />

262 173, 8<br />

264 174, 1


p.<br />

266 Mart.<br />

268<br />

270<br />

272<br />

274<br />

276<br />

278<br />

280<br />

282<br />

284<br />

286<br />

288<br />

290<br />

292<br />

294<br />

296<br />

298<br />

300<br />

302<br />

INDEX SCRIPTORUM. 213<br />

in. p. 175, 1<br />

175, 14<br />

176, 18<br />

177, 14<br />

178, 6<br />

179, 2<br />

179, 18<br />

180, 8<br />

181, 3<br />

182, 11<br />

183, 4<br />

183, 16<br />

184, 13<br />

185, 5<br />

186, 1<br />

186, 19<br />

187, 15<br />

188, 8<br />

188, 23<br />

Adrastus: 49, 6. 50, 4. 61, 19.<br />

64, 1. 65, 10. 66, 12. 73, 19.<br />

76, 2. 106, 16. 107, 10. 24.<br />

120, 8. 129, 9. 10. 146, 11.<br />

147, 7. 16. 148, 10. 13. 149,<br />

9. 150, 20. 151, 20. 154, 12.<br />

21. 157, 12. 158, 10. 166, 6.<br />

10. 177, 9. 198, 9.<br />

Alexander: 138, 18. 140, 4.<br />

141, 5 sqq. 143, 1.<br />

Anaximander: 198, 18.<br />

Anaximenes: 198, 19.<br />

Aratus: 146, 16.<br />

Archimedes: 124, 12. 127, 3.<br />

Archytas: 20, 19. 22, 10. 61, 12.<br />

iv rco 7t()i dznddog 106, 10.<br />

Aristot'eles: 179, 13. 189, 7.<br />

p.<br />

304 Mart. in.<br />

306<br />

308<br />

310<br />

312<br />

314<br />

316<br />

318<br />

320<br />

322<br />

324<br />

326<br />

328<br />

330<br />

332<br />

334<br />

336<br />

338<br />

340<br />

INDEX SCEIPTORUM.<br />

p. 190, 1<br />

191, 2<br />

192, 3<br />

192, 22<br />

193, 12<br />

194, 3<br />

194, 24<br />

195, 18<br />

197, 3<br />

197, 21<br />

198, 16<br />

199, 9<br />

200, 7<br />

201, 2<br />

201, 24<br />

202, 19<br />

203, 12<br />

204, 6<br />

205, 2<br />

201, 25. Iv T 22, 5.<br />

Aristoxenus: 53, 9. 55, 12. 15.<br />

56, 1. 64, 2. 67, 10.<br />

Callippus: 178, 11. 180, 6.<br />

202, 1.<br />

Dercyllides: 198, 9. 199, 9. 14.<br />

200, 7. 13 sqq. 201, 7 202,<br />

sqq.<br />

3. 6. sv rw nsQi rov<br />

KTQCtKTOV Y.ttl T(OV GCpOvdv-<br />

TOOV iv rrj TIoHiTsicc nagcc<br />

Isyopevcov 198, 11.<br />

Dicaearchus: 124, 21.<br />

Empedocles: 15, 10. 149, 6.<br />

sv -tots Kcc&aQiJiOis 104, 2.


214<br />

Eratosthenes: 82, 22. 105, 14.<br />

107, 15. 23. Ill, 10. 124,<br />

12. 21 142, 7. sv rots S'TISOL<br />

142, 16. BV rco smyQcccpolisva)<br />

niciriQviv.co 2, 3. 81, 17.<br />

Euander: 105, 6.<br />

Eudemus: sv rais'AcrQoloyiais<br />

198, 14.<br />

Eudoxus: 61, 12. 178, 11. 179, 14.<br />

Euripides: 48, 3. 146, 16.<br />

Herophilus: 104, 16.<br />

Hesiodus: 9, 9.<br />

Hipparclius: 166, 6. 185, 17.<br />

188, 15. 194, 9. 197, 9.<br />

202, 19.<br />

Hippasus: 59, 8.<br />

Ibycus: 146, 12.<br />

Lasus: 59, 7.<br />

Menaechmus: 201, 25.<br />

Oenopides: 198, 14.<br />

Orpliica: sv rots 'OQcptuoig OQv.oig<br />

105, 1.<br />

Peripatetici : 72, 24.<br />

Philolaus: 20, 19. sv TOO Tn-pl<br />

106, 11.<br />

: 1, 2. 7. 15. 2, 8. 12, 10.<br />

15, 7. 11. 16. 16, 1. 11. 19.<br />

27. 17, 5. 9. 47, 16. 56, 5.<br />

63, 25. 65, 1. 67, 12. 69,<br />

INDEX SCRIPTORUM.<br />

6.9. 73,11. 113,10. 116,14.<br />

119, 19. 146, 6. 147, 16. 151,<br />

19. 188, 25. 200, 8. 202, 6. 204,<br />

23. 205, 3. sv rrj 'Envo^St<br />

2, 15. sv TOO 'Emvofiicp 7,<br />

9 sqq. 84, 8. 177, 24.' sv<br />

rjj HohrsiK 2, 22. [10, 12. J<br />

12, 26. 198, 12. iv TCO TQI-<br />

1(0 TJJS TlollTSLKg 10, 17. SV<br />

rip sS6(i(t} rrjg Tlolirsiccs 3,<br />

16 sqq. snl relsi rrjs TIoli-<br />

143, 7. 189, 2. sv TW<br />

ia> 96, 5. 103, 17. sv<br />

Posidonius: 103, 18.<br />

Pythagoras: 56, 10. 94, 8.<br />

150, 16.<br />

Pyttiagorei: 6, 2. 12, 10. 18.<br />

17, 25. 20, 7. 46, 13. 47, 12.<br />

50, 4. 55, 14. 94, 3 sqq. 99,<br />

14. 18. 103, 4. 116, 4. 138,<br />

11. 139, 11. 147, 4.<br />

Thales: 198, 16.<br />

Theo: sv roig rfjS IJohrsias<br />

vno^vr^a.6LV 146, 4.<br />

Thrasyllus: 47, 18. 48, 8. 85,<br />

8. 87, 8. 93, 8. 205, 5.<br />

Timotheus: 105, 11.


, 4<br />

ADDENDA ET CORRIGENDA.<br />

adn. vs. 4 ante jttr/ ^TTLOTCCTO add.<br />

5, 17 [(isv] cj. H(ultsch)<br />

6 adn. vs. 6 corr. otov<br />

12, 18 cpccGiv] noiliv cj. H.<br />

18, 11 corr. nollcc<br />

20, 14 [ov ro sv] cj. H.<br />

24, 14 y,ai ycco] G>S yag A<br />

34, 13 corr. aet<br />

44^ 2. 4. 5 COIT. TQiudos<br />

17 corr. didfjisxQot.<br />

45,<br />

TQicidcc<br />

15 6vv&cotiev cj. H.<br />

46, 11 corr. TSTCCQTOV<br />

47,, 22 (et in adn.) ovrog post CCVTOS add.<br />

48, 15 vnartiv: cf. v. Jan. Philol. XXIX p.<br />

52, 18 53,<br />

loyov] l^iv^.<br />

9 r)(imij%iov H.<br />

55, 14 corr. SLSGLV<br />

62, 8 cm] a^a cj. H.<br />

71, 1 fiV Tig] jU-fV Tfl CJ. H.<br />

73 in adn. ad 21 A post ,,litt." add.<br />

75, 14 GvyiycQviKLs] Gvpcpoovia cj. H.<br />

302 x<br />

)<br />

77, 25 et p. 80, 23 corr. ccsi<br />

82, 22 on (riy rijs ccvaloyias cpvag CCQ^ svloyov sorl Hal<br />

^TSTaypevyg ysveGsag, sn Trjg iGOTr)to$ avtrj TS ysvvr\ftsiGciy<br />

TtQatrri v.xk. cj. H.<br />

84, in adn. ad 15 corr. ,,inscr."<br />

93, 4 ctQ%6p8voi-' v7toT8&siGr}$ (yccgy uvrris pvQicov r^rj' ot<br />

12 loiTtaiv del. vid.<br />

94, 9 cj. H.<br />

96, 2 corr. KVTJGLS<br />

97, 25 an scr. oydoq ds TStg. rj rovtav KQi-tiKi] xal<br />

OVGCC?


216 ADDENDA ET CORRIGENDA.<br />

p. 100, 14 tizGu: cf. adn. ad p. 46, 15<br />

101, 18 corr. aet<br />

102, 6 noieiv cj. H.<br />

103, 14 yevva del. vid.<br />

114, 14 et 21 civaloyici et KvuhoyCa, neglegenter pos. pro<br />

(jiSGorrjs et<br />

116, 12<br />

124, 1<br />

127,<br />

5 dri^ov (ovvy?<br />

16 128,<br />

TCOV] TO?<br />

12 131,<br />

Ttgog tag o\ag GcpctiQctg] ndarjg Ka&olov acpuiQus cj. H.<br />

4 ds rig] d' i-'zi rig?<br />

6 fya H.<br />

138, 9 r)] xat H. cf. p. 152, 4. 150,<br />

?<br />

2 ravro;] rag cj.<br />

153, 11 pro hr{ corr. *i'<br />

77"<br />

157, 15 gTtg^v^cooiav H.<br />

171, 3 UVCCCTQOCpOV CJ.<br />

19 r^ aw?<br />

H.<br />

H. an avTor?<br />

178 adn. vs. 2 corr. ,,additum"<br />

180, 6 %coQl$ rov H,<br />

18 (irtfcciVMccis GcpaiQOitoucci$ cj. H.<br />

22 ovrcog] ovrcog cj. H.<br />

in adn. ad 18 post ,,Gerh." add. ,,p. 1026, 24. 1027<br />

n. 3. 4 Hultsch."^<br />

184, 3 ^yg'rrjrai). xara TO ju. cj. H.<br />

24 xal xarti rpvciv OVGTJ cpOQct tmv TfHoivmiisvaiv ijTOk<br />

GcpaiQCov cj. H.<br />

185, 5 T8 xat] T Ttg cj. H.<br />

186, 12 inl ovv cj. H.<br />

188, 6 (fBQOVGLV~\ CLTtOfpuivOVGlV CJ. H.<br />

192, 14 6


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