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72 K^NIK.QN «'. 6v^7tL7tTeL avrfj tj AA^ %aC i(5xi trj xccrr}yêvrj JtaQdXXr^Xog rj BF, xal ri BF ccQa 6vy.7Ce06trat rfj A/1. xccl ei êv êra^v tcov A, A 6rjêLOv, cpavegov, orv Tcal rrj to^rj 6v^7te6ettaL, el d\ ixtog tov A c^g xata ro E, 5 TtQotegov trj to^fj 6v^7te6ettaL. rj ccQa a7to rot' B TtaQa tetayêvcog xatrjyêvriv ayoêvrj evdêta 6v^7te0ettaL tfj to^fj. 7C . 'Eav iv TtaQafioXy a7to trjg to^^^g Kata%%^6i, dvo evd-etaL iTtl trjv dLccêtQov tetayêvcog, e6taL cjg ro; 10 d7t' avrcov rerQccycava ^tQog dXkrjXa, ovrcjg aC d^tote^voêvaL VTt avtcov d^to trjg dtaêtQOv ^tQog tfj KOQvcpfi trjg to^rjg. e6to TtaQaôXri^ rjg dLafietQog rj AB, xal eiXtjcpd^co tLvd 6r}êta i%^ avtrjg td F, ^, Tcal d^tb tav F, z/ 15 tetayêvog oiatri%^cii6av i7tl trjv AB aC FE, z/Z. Xeyo), otL i6tLv, Sg tb d^tb z/Z 7tQbg tb dTtb FE^ ovtcjg r} ZA 7tQbg AE. e6tco yaQ 7taQ rv dvvavtat aC xatayoêvat rj AH' l'6ov ccQa i6tl tb êv d^tb trjg ^Z ta vzb ZAH, 20 tb de dTtb trjg FE ta V7tb tmv EAH. e6tLV ccQa, cog tb d7tb AZ 7tQbg tb d^tb FE, ovtcog th vTtb ZAH 7CQbg TO V7tb EAH cog de tb V7tb ZAH 7tQbg rb vTtb EAH, ovt cog rj ZA 7tQbg AE' xal og aQa tb ditb ^Z TtQbg tb dTtb FE, ovtog rj ZA 7tQbg AE. 25 7ca'. 'Edv iv v7teQpoXfj r] ikleCipeL rj xvkXov 7teQL(peQeCa evd-etaL dx^c36L tetayfievog i7tl trjv dLaêtQov, e6tai 7. %'] p, om. V, m. 2 v. 25. xa'] p, om. V, m. 2 v. 26. ri\ (alt.) 71 V; corr. p. nsQicpEQEicc V; corr. p.
CONICORUM LIBER I. 73 recta ab A rectae ordinate ductae parallela ducta extra sectionem cadit [prop XVII], et cum illa concurrit A^j ei BF rectae ordinate ductae parallela est, etiam BF cum A^ concurret. et siue inter puncta A^ zf concurrit, manifestum est, eam etiam cum sectione concurrere, siue extra z/ concurrit ut in E, prius cum sectione concurret. ergo recta a B rectae ordinate ductae parallela ducta cum sectione concurret. XX. Si in parabola a sectione duae rectae ad diametrum ordinate ducuntur, erunt, ut quadrata earum inter est autem z/Z^ : se, ita rectae ab iis e diametro ad uerticem sectionis abscisae. sit parabola, cuius diametrus sit ABj et in ea puncta aliqua samantur JT, z/, et a JT, ^ ad ^5 ordinate ducantur FE, AZ. dico, esse ^ZîTE^^^ZAiAE. sit enim parametrus AH, est igitur AZ^ = ZAXAH, rE^ = EAxJH, FE^ = ZAX AH: EA XAH. ZAXAH:EAXAH= ZA:AE. ergo etiam z/Z^ : FE^ == ZA : AE. XXI. Si in hyperbola uel ellipsi uel ambitu circuli rectae ad diametrum ordinate ducuntur, quadrata earum ad spatia comprehensa rectis ab iis ad terminos lateris
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37; 4- APOLLONII^ PEEGAED QUAE GEAE
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PRAEFATIO. Conica ApoUonii Pergaei,
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— PRAEFATIO. V V — cod. Vatic.
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PRAEFATIO. yii libri sunt, solo num
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PRAEFATIO. IX quare rjd : r)'y = Xd
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PRAEFATIO. XI IIi;21: cc
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APOLLONII CONICA. Apollonius, ed. H
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CONICORUM LIBER I. Apollonius Eudem
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CONICORUM LIBER I. 5 pertinent, con
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CONICORUM LIBER I. 7 Definitiones I
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CONICORUM LIBER I. 9 5. Similiter u
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CONICORUM LIBER I. 11 nam si fieri
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CONICORUM LIBER I. 13 ad rectam BF]
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CONICORUM LIBER I. 15 nam quoniam l
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CONICORUM LIBER I. 17 concidit. con
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CONICOliUM LIBER I. 19 sit conus ob
Page 39 and 40: CONICORUM LIBER I. 21 demonstrauimu
Page 41 and 42: CONICORUM LIBER L 23 concurrere et
Page 43 and 44: CONICORUM LIBER I. 25 axem positi a
Page 45 and 46: CONICORUM LIBER I. 27 nam quoniam c
Page 47 and 48: COÎCORUM LIBER I. 29 ne sit igitur
Page 49 and 50: \ CONICORUM LIBER I. 31 diametrus a
Page 51 and 52: CONICORUM LIBER I. 33 BF parallela
Page 53 and 54: CONICORUM LIBER I. 35 nam si fieri
Page 55 and 56: CONICORUM LIBER I. 37 /. ABF = L ME
Page 57 and 58: CONICORUM LIBER I. 39 basim triangu
Page 59 and 60: CONICORUM LIBER I. 41 rum KA, MN pl
Page 61 and 62: lineam CONICORUM LIBER I. 43 uocetu
Page 63 and 64: CONICORUM LIBER I 45 ABF extra uert
Page 65 and 66: itaque 2Nxnp=;e;nx nz [EucI. v, 9].
Page 67 and 68: CONICORUM LIBER I. 49 XIII. Si conu
Page 69 and 70: CONICORUM LIBER L 51 BKX KFj et in
Page 71 and 72: CONICOKUM LIBER I. 53 erit est (EM
Page 73 and 74: CONICORUM LIBER I. 55 sint superfic
Page 75 and 76: CONICORUM LIBER I. 57 plano per axe
Page 77 and 78: CONICORUM LIBER I. 59 erit igitur A
Page 79 and 80: CONICORUM LIBER I. 61 ZZJT, AM. dic
Page 81 and 82: CONICOEUM LIBER I. 63 et quoniam es
Page 83 and 84: CONICORUM LIBER I. 65 autem etiam A
Page 85 and 86: uerum AE:AB = MK : CONICORUM LIBER
Page 87 and 88: CONICOEUM LIBER I. 69 XVII. Si in s
Page 89: CONICORUM LIBER I. 71 et intra sect
Page 93 and 94: CONICORUM LIBER I. 75 transuersi fi
Page 95 and 96: CONICORUM LIBER I. 77 XXII. Si rect
Page 97 and 98: eT CONICOKUM LIBER I. 79 sit ellips
Page 99 and 100: \q CONICORUM LIBER I. 81 ducatur z/
Page 101 and 102: H CONICORUM LIBER I. 83 sumatur eni
Page 103 and 104: CONICORUM LIBER I. 85 XXVII. Si rec
Page 105 and 106: quoniam autem est hoc est BA : BA:A
Page 107 and 108: ' CONICORUM LIBER I. 89 KJy et pona
Page 109 and 110: CONICORUM LIBER I. 91 ordinate enim
Page 111 and 112: CONICORUM LIBER I. 93 etiam BZxZA-.
Page 117 and 118: CONICORUM LIBER I. 99 iam igitur ea
Page 121 and 122: CONICORUM LIBER I. 103 partes ad ue
Page 123 and 124: ; CONICORUM LIBER I. 105 est autem
Page 125 and 126: CONICORUM LIBER I. 107 producta cum
Page 127 and 128: CONICORUM LIBER I. 109 sit hyperbol
Page 129 and 130: CONICORUM LIBER I. 111 comprehendet
Page 131 and 132: CONICOEUM LIBER I. 113 in ellipsi a
Page 133 and 134: CONICORUM LIBER I. 115 sit hyperbol
Page 135 and 136: CONICORUM LIBER I. 117 est autem MH
Page 137 and 138: CONICORUM LIBER I. 119 siue Z0 X &H
Page 139 and 140: CONICORUM LIBER I. 121 ut rExH: rE^
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CONICORUM LIBER I. 123 AH. dico, AH
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CONICORUM LIBER I. 125 sit hyperbol
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Ê : EZ = AE^ : AE CONICORUM LIBER
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CONICORUM LIBER I. 129 descriptam f
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CONICORUM LIBER I. 131 [Eucl. I, 41
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CONICORUM LIBER I. 133 sit hyperbol
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CONICORUM LIBER I. 135 diametrum or
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CONICORUM LIBER I. 137 BA autem rec
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CONICORUM LIBER I. 139 in hyperbola
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CONICORUM LIBER I. 141 eidem aequal
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CONICORUM LIBER I. 143 strata sunt,
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CONICORUM LIBER I. 145 est, pentago
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CONICORUM LIBEE I. 147 XLIX. Si rec
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CONICORUM LIBER I. 149 EFB = EZ^ [E
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CONICORUM LIBER I. 151 spatio compr
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CONICOEUM LIBER I. 153 h. e. PNr==
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CONICORUM LIBER I. 155 €st autem
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CONICORUM LIBER I. 157 plicatis lat
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CONICORUM LIBER I. 159 His autem de
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CONICORUM LIBER I. 161 r^, EA propo
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CONICORUM LIBER I. 163 idem autem a
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CONICORUM LIBER I. 165 et a ad AE p
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CONICORUM LIBER I. 167 LIY. Datis d
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CONICORUM LIBER I. 169 autem ad AB
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CONICORUM LIBER I. 171 etiam commun
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CONICORUM LIBER I. 173 LV. lam igit
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CONICOKUM LIBER I. 175 ueniet, quia
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ectam ab iis CONICORUM LIBER I. 177
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aliquod CONICORUM LIBER I. 179 H su
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CONICORUM LIBER I. 181 [prop. XIII]
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EZ'.ZH= ZA^-.AA^, itaque EZ : ZH CO
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CONICORUM LIBER I. 185 ita ut diame
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CONICORUM LIBER I. 187 figura exced
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CONICORUM LIBER I. 189 que etiam di
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I CONICORUM LIBER I. 191 ductae ad
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CONICORUM LIBER II. ApoUonms Eudemo
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CONICORUM LIBER II. 195 I sit hyper
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J CONICORUM LIBER II. 197 aequales
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CONICORUM LIBER II. 199 sit hyperbo
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CONICORUM LIBER II. 201 ducatur A^
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CONICORUM LIBER II. 203 nam si miuu
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CONICORUM LIBER II. 205
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CONICORUM LIBER II. 207 j4r in H in
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CONICORUM LIBER II. 209 rectas duct
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CONICORUM LIBER II. 211 iam similit
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concurrat in H. CONICORUM LIBER II.
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CONICORUM LIBER II. 215 ducatur eni
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CONICOEUM LIBER II. 217 KA>EZ et AA
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CONICORUM LIBER II. 219 ducatur AN]
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CONICORUM LIBER II. 221 XVI. Si in
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CONICORUM LIBER II. 223 nam section
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CONICORUM LIBER II. 225 EZ cum utra
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CONICORUM LIBER 11. 227 A contingen
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CONICORUM LIBER II. 229 et latera a
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CONICORUM LIBER 11. 231 est autem,
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CONICOEUM LIBISl n. 233 ea igitur a
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CONICORUM LIBER II. 235 XXIII. Si i
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CONICOEUM LIBER II. 237 concursus p
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CONICORUM LIBER II. 239 ductae enim
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CONICORUM LIBER II. 241 sit ellipsi
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CONICORUM LIBER II. 243 [Eucl. I, 3
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CONICORUM LIBER II. 245 XXX. Si con
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CONICORUM LIBER II. 247 TAA^ EBZ in
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CONICORUM LIBER II. 249 sint sectio
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CONICORUM LIBER II. 251 et manifest
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CONICORUM LIBER II. 253 in termino
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CONICORUM LIBER II. 255 que HK diam
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CONICORUM LIBER II. 257 coniugata r
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CONICORUM LIBER II. 259 sint Jl, B
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CONICORUM LIBER II. 261 AB diametri
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CONICORUM LIBER II. 263 quod absurd
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CONICORUM LIBER II. 265 sint A, B,
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CONICORUM LIBER II. 267 in binas pa
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COKICORUM LIBER II. » 269 erit [Eu
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CONICORUM LIBER II. 271 [Eucl. I, 4
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CONICORUM LIBER II. 273 nam si fier
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CONICORUM LIBER II. 275 demonstraui
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CONICORUM LIBER II. 277 [dat. 29].
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CONICORUM LIBER II. 279 primum in s
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CONICORUM LIBER II. 281 que @N = A@
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CONICORUM LIBER II. 283 positione d
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CONICORUM LIBER II. 285 quartae par
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CONICORUM LIBER II. 287 Ajd'^ itaqu
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CONICORUM LIBER II. 289 facturn sit
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CONICORUM LIBER U. 291 BR et anguli
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CONICORUM LIBER II. 293 bola, cuius
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ut MK^ : CONICORUM LIBER II. 295 KH
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; CONICORUM LIBER II. 297 eadem est
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CONICORUM LIBER II. 299 et latera r
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CONICORUM LIBER II. 301 angulo ® a
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CONICORUM LIBER II. 303 rectum aequ
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CONICORUM LIBER II. 305 dicularis d
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CONICORUM LIBER II. 307 HZA, et duc
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CONICORUM LTBER H. 309 M jTiV angul
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1 CONICORUM LIBER II. 31 nT:TO= TN^
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CONICORUM LIBER II. 313 datus autem
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CONICOEUM LIBER II. 315 [Eucl. I, 4
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: CONICORUM LIBER II. 317 et sumpti
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CONICORUM LIBEE III. I. Si rectae c
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CONICORUM LIBER III. 321 iam quonia
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CONICORUM LIBER III. 323 et sumatur
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CONICORUM LIBER III. 325 antea dixi
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CONICORUM LIBER III. 327 V. Si duae
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CONICORUM LIBER III. 329 VI. lisdem
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CONICORUM LIBER III. 331 supponantu
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CONICORUM LIBER III. 333 et permuta
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CONICORUM LIBER III. 335 nam quonia
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CONICORUM LIBER III. 337 nam hoc qm
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CONICORUM LIBER III. 339 ABMNj KÔV
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itaque etiam A@ : CONICORUM LIBER I
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CONICORUM LIBER III. 343 rectum, it
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CONICORUM LIBER ni. 345 iam quoniam
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CONICORUM LIBER III. 347 est autem
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CONICORUM LIBER III. 349 posito rec
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CONICORUM LIBER III. 351 quare etia
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; CONICORUM LIBER III. 353 quoniam
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CONICORUM LIBER III. 355 XVIII. Si
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; CONICORUM LIBER III. 357 V, 16];
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CONICORUM LIBER III. 359 est autem
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CONICORUM LIBER III. BZ^ : BZP=KE^
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CONICORUM LIBER III. 363 NÊjHOnP,
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; ^l /^ CONICOEUM LIBER III. 365 cu
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CONICOKUM LIBER III. 367 cuntur sec
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CONICORUM LIBER III. 369 [eodem mod
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CONICORUM LIBER III. 371 per A sect
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CONICORUM LIBER III. 373 iam uero S
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spatio, CONICORUM LIBER III. 375 ad
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CONICORUM LIBER III. 377 Ê^x EA'-
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CONICORUM LIBER in. 379 similiterqu
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CONICORUM LIBER III. 381 erit [Eucl
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CONICORUM LIBER III. 383 drata rect
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CONICORUM LIBER III. 385 est autem,
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uerum AH^ + HN^ : [prop. XXVIII]; q
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COlÎCORUM LIBER III. 389 [I, 21];
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CONICORUM LIBER m. 391 NAXAK + KE^
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CONICORUM LIBER III. 393 allela duc
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mz, rectae CONICORUM LIBER m. 395 a
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sit CONICORUM LIBER III. 397 hyperb
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CONICORUM LIBER III. 399 KA = TH [E
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CONICORUM LIBER III. 401 nem opposi
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CONICORUM LIBER III. 403 Nr : r® =
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CONICORUM LIBER m. 405 per Z, ^ aut
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CONICORUM LIBER III. 407 sit sectio
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CONICORUM LIBER III. 409 nem rectam
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et ^SK : ANS EH' : ZH^ CONICORUM LI
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CONICORUM LIBER III. 413 si &f K re
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CONICORUM LIBER III. 415 sit parabo
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t CONrCORUM LIBER m. 417 uerum MF:
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CONICORUM LIBER III. 419 diametrus
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CONICORUM LIBER III. 421 e contrari
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CONICORUM LIBER m. 423 iam eodem mo
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CONICORUM LIBER m. 425 quadrata exc
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CONICOEUM LIBER III. 427 leliquus a
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CONICORUM LIBER III. 429 inter se c
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CONICORUM LIBER m. 431 que etiam Â
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CONICORUM LIBER lU. 433 nam quoniam
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CONICORUM LIBER III. 435 et quoniam
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CONICORUM LIBER III. 437 que [Eucl.
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CONICORUM LIBER III. 439 et rE + EJ
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est autem etiam CONICORUM LIBER in.
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CONICOEUM LIBEE m. 443 tesque AA^ F
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CONICORUM LIBER III. 445 uerum NF X
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; CONICORUM LIBER III. 447 allela d
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CONICORUM LIBER III. 449 cojiiuDgen
Page 469:
CONICORUM LIBER III. 451 autem ®^^
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