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112 KSiNII^N «'. ZB' (hg ccQa rj Zz/ TtQos ^B, rj ZB JtQog BE. ava- CTQEtpavTi UQa i^Tiv^ cog rj ^Z 7fQog ZB, r BZ TtQog ZE. l'0ov aQa £6tI To vTto z/ZE rc3 ajtb BZ. 5 dXXa t6 ^£v vTtb ^ZE l'6ov £0tI r« vTto zJEZ Kal rc5 aTtb ZE^ ro dh djtb BZ l'0ov £(3t\ T(p VTtb AEB ^£tcc tov aTtb ZE, xoivbv dcpfjQTâd^G) ro ditb EZ' XoiTtbv ccQa ro vTtb 10 ÊZ XoLTt^ r« vTtb AEB l'6ov £0Tai. ag ccQa ro VTtb /lEZ TtQog ro d^tb FE, ovTcog ro VTtb AEB TtQog To dTtb FE. d}X cog rd vTto AEB TtQbg ro dnb FE, 7} TtXayia TtQbg Trjv oQd^cav. (hg ccQa ro vTtb AEZ TtQbg ro ditb EF, rj TtXayCa itQbg ttjv OQd^Cav. 16 W' 'Edv v7t£QôXrig rj £lk£Cip£C3g rj kvkXov 7t£Qi(p£Q£Cag £vd^£La £7tLtpaV0V
CONICOEUM LIBER I. 113 in ellipsi autem et circulo sic: est autem AZ = \{A/i + AB), ZB = \AB. erit igitur Z^ : ^B = ZB : est [Eucl. V, 19 coroll.] /iZ\ZB = BZ : BE. conuertQndo igitur [Eucl. VI, 17] ^ZxZE = BZ\ est autem AZXZE=^ ÊxEZ + ZE^ ZE. itaque [Eucl. II, 3] eiBZ^ = AExEB + ZE^ [Eucl. II, 5]. auferatur, quod commune est, EZ^. itaque erit ÊxEZ = AExEB. erit igitur JE X EZ : FE^ =^ AEx EB: FE^ [Eucl. V, 7]. uerum ut AExEB: FE^y ita latus transuersum ad rectum [prop. XXI]. ergo ut AEXEZ: Er% ita latus transuersum ad rectum. XXXVIII. Si recta hyperbolam uel ellipsim uel ambitum circuli contingens cum altera diametro concurrit, et a puncto contactus recta ad eandem diametrum ducitur alteri diametro parallela, recta a recta ita ducta ad centrum sectionis abscisa cum recta a contingenti ad centrum sectionis abscisa spatium comprehendet aequale quadrato dimidiae alterius diametri, cum recta autem inter rectam ad diametrum ductam et contingentem posita spatium comprehendet, quod ad quadratum rectae ad diametrum ductae eam rationem habet, quam habet latus rectum figurae ad transuersum. (lev] c; euan. V, rep. mg. m. rec. 22. i(p(x7tto(i£vr}g] cv; icpuTtro euan., rep. mg. m. rec. V; vi]g om. in extr. pag. Apollonius, ed, Heiberg. 8
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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
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CONICORUM LIBER I. 21 demonstrauimu
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CONICORUM LIBER L 23 concurrere et
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CONICORUM LIBER I. 25 axem positi a
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CONICORUM LIBER I. 27 nam quoniam c
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COÎCORUM LIBER I. 29 ne sit igitur
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\ CONICORUM LIBER I. 31 diametrus a
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CONICORUM LIBER I. 33 BF parallela
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CONICORUM LIBER I. 35 nam si fieri
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CONICORUM LIBER I. 37 /. ABF = L ME
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CONICORUM LIBER I. 39 basim triangu
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CONICORUM LIBER I. 41 rum KA, MN pl
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lineam CONICORUM LIBER I. 43 uocetu
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CONICORUM LIBER I 45 ABF extra uert
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itaque 2Nxnp=;e;nx nz [EucI. v, 9].
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CONICORUM LIBER I. 49 XIII. Si conu
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CONICORUM LIBER L 51 BKX KFj et in
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CONICOKUM LIBER I. 53 erit est (EM
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CONICORUM LIBER I. 55 sint superfic
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CONICORUM LIBER I. 57 plano per axe
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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 and 90: CONICORUM LIBER I. 71 et intra sect
Page 91 and 92: CONICORUM LIBER I. 73 recta ab A re
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 113 and 114: CONICORUM LIBER I. 95 nam si fieri
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: CONICORUM LIBER I. 111 comprehendet
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^
Page 141 and 142: CONICORUM LIBER I. 123 AH. dico, AH
Page 145 and 146: Ê : EZ = AE^ : AE CONICORUM LIBER
Page 147 and 148: CONICORUM LIBER I. 129 descriptam f
Page 149 and 150: CONICORUM LIBER I. 131 [Eucl. I, 41
Page 153 and 154: CONICORUM LIBER I. 135 diametrum or
Page 155 and 156: CONICORUM LIBER I. 137 BA autem rec
Page 157 and 158: CONICORUM LIBER I. 139 in hyperbola
Page 159 and 160: CONICORUM LIBER I. 141 eidem aequal
Page 161 and 162: CONICORUM LIBER I. 143 strata sunt,
Page 163 and 164: CONICORUM LIBER I. 145 est, pentago
Page 165 and 166: CONICORUM LIBEE I. 147 XLIX. Si rec
Page 167 and 168: CONICORUM LIBER I. 149 EFB = EZ^ [E
Page 169 and 170: CONICORUM LIBER I. 151 spatio compr
Page 171 and 172: CONICOEUM LIBER I. 153 h. e. PNr==
Page 173 and 174: CONICORUM LIBER I. 155 €st autem
Page 175 and 176: CONICORUM LIBER I. 157 plicatis lat
Page 177 and 178: CONICORUM LIBER I. 159 His autem de
Page 179 and 180: 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'-
Page 397 and 398:
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
Page 421 and 422:
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
Page 443 and 444:
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
Page 451 and 452:
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.
Page 457 and 458:
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
Page 463 and 464:
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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