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272 KS^NIKSiN ^'. d yccQ dvvavov, bGxg) tcccI stsQog a^cjv 6 KH. xarcc Tcc avtcc drj rots £^7tQoGd-€v dxdêiarjg xad-erov rfig A® iOri £6rat rj A® rrj SA' wOrs xal rj AK rfj KA. dlXa xal rrj KF' larj ccQa r^ KA rrj KF' 6 OTtBQ aroTtov. ori ^sv ovv ocal 6 AEF KvxXog ocar' alko arj^stov êra^v rcjv A, B, F ov Cvii^dllei rfj ro^fj, enl êv rrjg vTceQPokrjg cpaveQov ejtl de rrjg elleifeog xdd-eroi rix^caaav at FP, AU. eTtel ovv l'6r} eGrlv 7) KF 10 rf] KA' ex TcevrQOv ydQ' i'0ov iarl nal rb dnb FK ro ditb KA. dXXd tc5 yiev d%b TK faa e6rl rd dnb rP, PK, ra 8e ditb AK L'aa rd dnb KU, UA' rd ccQa ditb rP, PK rotg dno AU, UK ianv L'6a. 6 ccQa dia(peQei ro dTtb FP roi} dno AU^ rovTco dta- 15 cpeQei ro dnb UK rov dno KP. ndliv eneidri rb vjib MPN êrd rov dno PK ôv e6rl rra aTtb KM, ean de Tcal ro vnb MUN êrd rov ditb UK L'aov ra d%b KM, ro aQa vnb MPN êrd rov dnb PK L'6ov iarl rc5 vjtb MUN êrd rov dno UK. co aQa 20 diaq^SQei rb ditb UK rov ditb KP, rovrco SiacpeQei rb vTtb MPN rov i)7tb MUN. ideix^rj de, on, cj 6ia(peQei^ rb dnb UK rov ditb KP, rovrc) diacpeQet rb dnb FP rov dnb AU' co aQa diacpeQet rb dnb TP rov dnb UA^ rovTG) diacpeQei ro vnb MPN rov 25 vnb MUN. xal inel Karrjyêvat elalv al FP, AU, eanv, cog rb dni FP n^bg rb vnb MPN^ ro anb AU nQog rb vnb MUN. ideixd-rj de xal iv dîcporeQOig 7] avrr] vncQOx^' Lôv aQa rb êv dnb FP ra vnb 2. td] bis V; corr. cvp. 10. kccl] pv, om. c, supra scr. m. 1 V. 11. Tco] (alt.) pc, corr. ex to m. 1 V. 18. tc3] pc, corr. ex rd m. 1 V.
CONICORUM LIBER II. 273 nam si fieri potest, etiam alius axis sit KH. eodem igitur modo, quo antea, ducta perpendiculari A@ erit AS = ®A [I def. 4]; quare etiam AK=KA [Eucl. I, 4]. uerum etiam AK = KF [ibid.]. itaque quod absurdum est. etiam KA = KF-^ iam circulum AEF in alio puncto inter A^ B, F <strong>cum</strong> sectione non concurrere, in hyperbola manifestum AJf est; in ellipsi autem perpendiculares ducantur FP, AIl. quoniam igitur est KT = KA (nam radii sunt), est etiam TK"^ = KA^. est autem rP^ + PK^ = FK^ et KE^ + ZA^ = AK^ [Eucl. I, 47]. itaque rP^ + PK^ = AE^ + ZK^ quare FP^ ~ AU^ = UK^ -^- KP\ rursus quoniam est MPXPN+ PK^ = KM^ [Eucl. II, 5], et etiam MH XZN + 2JK' = KM^ [ibid.], erit MPxPN+PK^ = M2XEN+ ZKK itaque EK^ -^ KP^ = MP X PN MS X -*- 2N. demonstrauimus autem, esse UK^ -i- KP^ = rp^ ^ ^2:^5 itaque FP^ _^ 2JA^ = MP x PN H- MS X UN et quoniam TP, AU ordinate ductae sunt, erit rP' :MPXPN= AE^ : MZ X EN [I, 21]; Apollonius, ed. Heiberg. 18
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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. 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
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CONICORUM LIBER I. 61 ZZJT, AM. dic
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CONICOEUM LIBER I. 63 et quoniam es
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CONICORUM LIBER I. 65 autem etiam A
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uerum AE:AB = MK : CONICORUM LIBER
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CONICOEUM LIBER I. 69 XVII. Si in s
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CONICORUM LIBER I. 71 et intra sect
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CONICORUM LIBER I. 73 recta ab A re
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CONICORUM LIBER I. 75 transuersi fi
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CONICORUM LIBER I. 77 XXII. Si rect
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eT CONICOKUM LIBER I. 79 sit ellips
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\q CONICORUM LIBER I. 81 ducatur z/
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H CONICORUM LIBER I. 83 sumatur eni
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CONICORUM LIBER I. 85 XXVII. Si rec
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quoniam autem est hoc est BA : BA:A
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' CONICORUM LIBER I. 89 KJy et pona
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CONICORUM LIBER I. 91 ordinate enim
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CONICORUM LIBER I. 93 etiam BZxZA-.
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CONICORUM LIBER I. 99 iam igitur ea
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CONICORUM LIBER I. 103 partes ad ue
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; CONICORUM LIBER I. 105 est autem
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CONICORUM LIBER I. 107 producta cum
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CONICORUM LIBER I. 109 sit hyperbol
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CONICORUM LIBER I. 111 comprehendet
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CONICOEUM LIBER I. 113 in ellipsi a
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CONICORUM LIBER I. 117 est autem MH
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CONICORUM LIBER I. 119 siue Z0 X &H
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CONICORUM LIBER I. 121 ut rExH: rE^
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CONICORUM LIBER I. 123 AH. dico, AH
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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. 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]
Page 239 and 240: CONICORUM LIBER II. 221 XVI. Si in
Page 241 and 242: CONICORUM LIBER II. 223 nam section
Page 243 and 244: CONICORUM LIBER II. 225 EZ cum utra
Page 245 and 246: CONICORUM LIBER 11. 227 A contingen
Page 247 and 248: CONICORUM LIBER II. 229 et latera a
Page 249 and 250: CONICORUM LIBER 11. 231 est autem,
Page 251 and 252: CONICOEUM LIBISl n. 233 ea igitur a
Page 253 and 254: CONICORUM LIBER II. 235 XXIII. Si i
Page 255 and 256: CONICOEUM LIBER II. 237 concursus p
Page 257 and 258: CONICORUM LIBER II. 239 ductae enim
Page 259 and 260: CONICORUM LIBER II. 241 sit ellipsi
Page 261 and 262: CONICORUM LIBER II. 243 [Eucl. I, 3
Page 263 and 264: CONICORUM LIBER II. 245 XXX. Si con
Page 265 and 266: CONICORUM LIBER II. 247 TAA^ EBZ in
Page 267 and 268: CONICORUM LIBER II. 249 sint sectio
Page 269 and 270: CONICORUM LIBER II. 251 et manifest
Page 271 and 272: CONICORUM LIBER II. 253 in termino
Page 273 and 274: CONICORUM LIBER II. 255 que HK diam
Page 275 and 276: CONICORUM LIBER II. 257 coniugata r
Page 277 and 278: CONICORUM LIBER II. 259 sint Jl, B
Page 279 and 280: CONICORUM LIBER II. 261 AB diametri
Page 281 and 282: CONICORUM LIBER II. 263 quod absurd
Page 283 and 284: CONICORUM LIBER II. 265 sint A, B,
Page 285 and 286: CONICORUM LIBER II. 267 in binas pa
Page 287 and 288: COKICORUM LIBER II. » 269 erit [Eu
Page 289: CONICORUM LIBER II. 271 [Eucl. I, 4
Page 293 and 294: CONICORUM LIBER II. 275 demonstraui
Page 295 and 296: CONICORUM LIBER II. 277 [dat. 29].
Page 297 and 298: CONICORUM LIBER II. 279 primum in s
Page 299 and 300: CONICORUM LIBER II. 281 que @N = A@
Page 301 and 302: CONICORUM LIBER II. 283 positione d
Page 303 and 304: CONICORUM LIBER II. 285 quartae par
Page 305 and 306: CONICORUM LIBER II. 287 Ajd'^ itaqu
Page 307 and 308: CONICORUM LIBER II. 289 facturn sit
Page 309 and 310: CONICORUM LIBER U. 291 BR et anguli
Page 311 and 312: CONICORUM LIBER II. 293 bola, cuius
Page 313 and 314: ut MK^ : CONICORUM LIBER II. 295 KH
Page 315 and 316: ; CONICORUM LIBER II. 297 eadem est
Page 317 and 318: CONICORUM LIBER II. 299 et latera r
Page 319 and 320: CONICORUM LIBER II. 301 angulo ® a
Page 321 and 322: CONICORUM LIBER II. 303 rectum aequ
Page 323 and 324: CONICORUM LIBER II. 305 dicularis d
Page 325 and 326: CONICORUM LIBER II. 307 HZA, et duc
Page 327 and 328: CONICORUM LTBER H. 309 M jTiV angul
Page 329 and 330: 1 CONICORUM LIBER II. 31 nT:TO= TN^
Page 331 and 332: CONICORUM LIBER II. 313 datus autem
Page 333 and 334: CONICOEUM LIBER II. 315 [Eucl. I, 4
Page 335 and 336: : CONICORUM LIBER II. 317 et sumpti
Page 337 and 338: CONICORUM LIBEE III. I. Si rectae c
Page 339 and 340: 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
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CONICORUM LIBER III. 451 autem ®^^
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