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20 K5iNIKS>N a'. EZ^ iaov i0tl T« vTtb tcjv KZH, aXXk rc5 imo rav EZ^ l'6ov ideLxd"!] xo anb rijg Z 0' xal rb vnb rc5v KZ, ZH ccqu l'6ov i6rl rra tt%b rijg Z0. bfiOLCog dfj dscxd"}]6ovrai Tcal TtaGai al anb rrjg HSK yQa^^rjg 5 iTcl rrjv HK rjy^svai Kccd^sroL l'6ov dvvd^svai rc5 vTib rcjv rfirj^drcov r^g HK. Tcvxkog CLQa iGrlv ri ro^rj, ov dtd^srQOg ri HK. s'. 'Edv Kcovog iniTtsdcp rnrjd^y dtd rov dôvog, Irjq^d^fj 10 ds rt arj^stov iitl rrjg ro£5 xoavov ijticpavsiag, o ft?/ ionv iitl rrjg itlsvQag rov dtd rov dôvog rQiycovov, xal dit avrov dyipri TtaQdXXrjXog svd^sta nvi, r] sori xdd^srog ditb rrjg TtSQicpSQsCag rov nvKkov inl rriv pdOiv rov rQiycovov, av^jiaXst rco did rov dôvog rQtycovG) 15 xal 7tQo6s7cpaXXo^svri scag roi) srsQov ^SQOvg rrjg im- (pavsCag di%a r^rjd^rjasrat vitb rot) rQtycovov. sarco Tccovog, ov xoQvcprj ^sv rb A arj^stov^ pdatg ds b Br KVTcXog, xal rsr^^âd^co 6 zcovog imTtsdcp did rov dôvog, xal TtoisCrco xoivrjv ro^rjv ro ABF tqC- 20 ycovov^ xal dno nvog arjfisCov rcov inl rrjg BF TtsQi- (pSQsCag rov M xdd^srog rjx^^ *'^^ ^^^ BF ij MN. sikricpd^co drj iTtl rrjg iiticpavsCag rov kcovov ari^stov n rb ^, Kal did rov 2/ rrj MN jtaQdXXrjXog ^xd^co rj Ê. Isyco^ ort rj AE ixâlXo^svr] av^Ttsastrat rc5 ijtiTtsdco 26 rou ABF rQiymvov xal TtQoasKâlko^svri inl rb srsQov fiSQog rov xcovov, dxQtg dv av^Ttsarj rrj imcpavsCa avrov, dCxa r^ri%"ri6srai vitb rov i%i7ts8ov rov ABF rQcycovov. 1. iazC — 2. 1'cov'] om. V, corr. p (KZ, ZH et EZ, Zd). 2. Z&\ E0 V; corr. p. 5. RK'\ p, HT V, corr. m. 2 v. 12. ivîicfl rep. mg. m. rec. V. 14. 6cc{iâlEL V, sed corr.
CONICORUM LIBER I. 21 demonstrauimus autem, esse EZ. X Zz/ = Z®^. quare etiam KZxZH=Z®K iam similiter demonstrabimus, etiam omnes rectas a linea HSK ad HK perpendiculares ductas quadratas aequales esse rectangulo partium rectae HK. ergo sectio circulus est, cuius diametrus est HK VI. Si conus plano per axem secatur, et in superficie coni punctum aliquod sumitur, quod in latere trianguli per axem positi non est, et ab eo recta ducitur parallela rectae ab ambitu circuli ad basim trianguli perpendiculari, ea <strong>cum</strong> triangulo per axem posito concurret et usque ad alteram partem superficiei producta a triangulo in duas partes aequales secabitur. sit conus, cuius uertex sit A punctum, basis autem Br circulus, et secetur conus plano per axem, et hoc communem sectionem efficiat ABF triangulum, et a ^ , A puncto M ambitus BF ad BF perpendicularis ducatur MN. iam in superficie coni punctum aliquod sumatur ^, et per ^ rectae MN parallela ducatur A E. dico, rectam AE productam <strong>cum</strong> plano trianguli ABT
Page 7 and 8: 37; 4- APOLLONII^ PEEGAED QUAE GEAE
Page 9 and 10: PRAEFATIO. Conica ApoUonii Pergaei,
Page 11 and 12: — PRAEFATIO. V V — cod. Vatic.
Page 13 and 14: PRAEFATIO. yii libri sunt, solo num
Page 15 and 16: PRAEFATIO. IX quare rjd : r)'y = Xd
Page 17 and 18: PRAEFATIO. XI IIi;21: cc
Page 19 and 20: APOLLONII CONICA. Apollonius, ed. H
Page 21 and 22: CONICORUM LIBER I. Apollonius Eudem
Page 23 and 24: CONICORUM LIBER I. 5 pertinent, con
Page 25 and 26: CONICORUM LIBER I. 7 Definitiones I
Page 27 and 28: CONICORUM LIBER I. 9 5. Similiter u
Page 29 and 30: CONICORUM LIBER I. 11 nam si fieri
Page 31 and 32: CONICORUM LIBER I. 13 ad rectam BF]
Page 33 and 34: CONICORUM LIBER I. 15 nam quoniam l
Page 35 and 36: CONICORUM LIBER I. 17 concidit. con
Page 37: CONICOliUM LIBER I. 19 sit conus ob
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 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 115 and 116:
Page 117 and 118:
CONICORUM LIBER I. 99 iam igitur ea
Page 119 and 120:
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:
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 143 and 144:
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 151 and 152:
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
Page 181 and 182:
CONICORUM LIBER I. 163 idem autem a
Page 183 and 184:
CONICORUM LIBER I. 165 et a ad AE p
Page 185 and 186:
CONICORUM LIBER I. 167 LIY. Datis d
Page 187 and 188:
CONICORUM LIBER I. 169 autem ad AB
Page 189 and 190:
CONICORUM LIBER I. 171 etiam commun
Page 191 and 192:
CONICORUM LIBER I. 173 LV. lam igit
Page 193 and 194:
CONICOKUM LIBER I. 175 ueniet, quia
Page 195 and 196:
ectam ab iis CONICORUM LIBER I. 177
Page 197 and 198:
aliquod CONICORUM LIBER I. 179 H su
Page 199 and 200:
CONICORUM LIBER I. 181 [prop. XIII]
Page 201 and 202:
EZ'.ZH= ZA^-.AA^, itaque EZ : ZH CO
Page 203 and 204:
CONICORUM LIBER I. 185 ita ut diame
Page 205 and 206:
CONICORUM LIBER I. 187 figura exced
Page 207 and 208:
CONICORUM LIBER I. 189 que etiam di
Page 209 and 210:
I CONICORUM LIBER I. 191 ductae ad
Page 211 and 212:
CONICORUM LIBER II. ApoUonms Eudemo
Page 213 and 214:
CONICORUM LIBER II. 195 I sit hyper
Page 215 and 216:
J CONICORUM LIBER II. 197 aequales
Page 217 and 218:
CONICORUM LIBER II. 199 sit hyperbo
Page 219 and 220:
CONICORUM LIBER II. 201 ducatur A^
Page 221 and 222:
CONICORUM LIBER II. 203 nam si miuu
Page 223 and 224:
CONICORUM LIBER II. 205
Page 225 and 226:
CONICORUM LIBER II. 207 j4r in H in
Page 227 and 228:
CONICORUM LIBER II. 209 rectas duct
Page 229 and 230:
CONICORUM LIBER II. 211 iam similit
Page 231 and 232:
concurrat in H. CONICORUM LIBER II.
Page 233 and 234:
CONICORUM LIBER II. 215 ducatur eni
Page 235 and 236:
CONICOEUM LIBER II. 217 KA>EZ et AA
Page 237 and 238:
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 and 290:
CONICORUM LIBER II. 271 [Eucl. I, 4
Page 291 and 292:
CONICORUM LIBER II. 273 nam si fier
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
Page 341 and 342:
CONICORUM LIBER III. 323 et sumatur
Page 343 and 344:
CONICORUM LIBER III. 325 antea dixi
Page 345 and 346:
CONICORUM LIBER III. 327 V. Si duae
Page 347 and 348:
CONICORUM LIBER III. 329 VI. lisdem
Page 349 and 350:
CONICORUM LIBER III. 331 supponantu
Page 351 and 352:
CONICORUM LIBER III. 333 et permuta
Page 353 and 354:
CONICORUM LIBER III. 335 nam quonia
Page 355 and 356:
CONICORUM LIBER III. 337 nam hoc qm
Page 357 and 358:
CONICORUM LIBER III. 339 ABMNj KÔV
Page 359 and 360:
itaque etiam A@ : CONICORUM LIBER I
Page 361 and 362:
CONICORUM LIBER III. 343 rectum, it
Page 363 and 364:
CONICORUM LIBER ni. 345 iam quoniam
Page 365 and 366:
CONICORUM LIBER III. 347 est autem
Page 367 and 368:
CONICORUM LIBER III. 349 posito rec
Page 369 and 370:
CONICORUM LIBER III. 351 quare etia
Page 371 and 372:
; CONICORUM LIBER III. 353 quoniam
Page 373 and 374:
CONICORUM LIBER III. 355 XVIII. Si
Page 375 and 376:
; CONICORUM LIBER III. 357 V, 16];
Page 377 and 378:
CONICORUM LIBER III. 359 est autem
Page 379 and 380:
CONICORUM LIBER III. BZ^ : BZP=KE^
Page 381 and 382:
CONICORUM LIBER III. 363 NÊjHOnP,
Page 383 and 384:
; ^l /^ CONICOEUM LIBER III. 365 cu
Page 385 and 386:
CONICOKUM LIBER III. 367 cuntur sec
Page 387 and 388:
CONICORUM LIBER III. 369 [eodem mod
Page 389 and 390:
CONICORUM LIBER III. 371 per A sect
Page 391 and 392:
CONICORUM LIBER III. 373 iam uero S
Page 393 and 394:
spatio, CONICORUM LIBER III. 375 ad
Page 395 and 396:
CONICORUM LIBER III. 377 Ê^x EA'-
Page 397 and 398:
CONICORUM LIBER in. 379 similiterqu
Page 399 and 400:
CONICORUM LIBER III. 381 erit [Eucl
Page 401 and 402:
CONICORUM LIBER III. 383 drata rect
Page 403 and 404:
CONICORUM LIBER III. 385 est autem,
Page 405 and 406:
uerum AH^ + HN^ : [prop. XXVIII]; q
Page 407 and 408:
COlÎCORUM LIBER III. 389 [I, 21];
Page 409 and 410:
CONICORUM LIBER m. 391 NAXAK + KE^
Page 411 and 412:
CONICORUM LIBER III. 393 allela duc
Page 413 and 414:
mz, rectae CONICORUM LIBER m. 395 a
Page 415 and 416:
sit CONICORUM LIBER III. 397 hyperb
Page 417 and 418:
CONICORUM LIBER III. 399 KA = TH [E
Page 419 and 420:
CONICORUM LIBER III. 401 nem opposi
Page 421 and 422:
CONICORUM LIBER III. 403 Nr : r® =
Page 423 and 424:
CONICORUM LIBER m. 405 per Z, ^ aut
Page 425 and 426:
CONICORUM LIBER III. 407 sit sectio
Page 427 and 428:
CONICORUM LIBER III. 409 nem rectam
Page 429 and 430:
et ^SK : ANS EH' : ZH^ CONICORUM LI
Page 431 and 432:
CONICORUM LIBER III. 413 si &f K re
Page 433 and 434:
CONICORUM LIBER III. 415 sit parabo
Page 435 and 436:
t CONrCORUM LIBER m. 417 uerum MF:
Page 437 and 438:
CONICORUM LIBER III. 419 diametrus
Page 439 and 440:
CONICORUM LIBER III. 421 e contrari
Page 441 and 442:
CONICORUM LIBER m. 423 iam eodem mo
Page 443 and 444:
CONICORUM LIBER m. 425 quadrata exc
Page 445 and 446:
CONICOEUM LIBER III. 427 leliquus a
Page 447 and 448:
CONICORUM LIBER III. 429 inter se c
Page 449 and 450:
CONICORUM LIBER m. 431 que etiam Â
Page 451 and 452:
CONICORUM LIBER lU. 433 nam quoniam
Page 453 and 454:
CONICORUM LIBER III. 435 et quoniam
Page 455 and 456:
CONICORUM LIBER III. 437 que [Eucl.
Page 457 and 458:
CONICORUM LIBER III. 439 et rE + EJ
Page 459 and 460:
est autem etiam CONICORUM LIBER in.
Page 461 and 462:
CONICOEUM LIBEE m. 443 tesque AA^ F
Page 463 and 464:
CONICORUM LIBER III. 445 uerum NF X
Page 465 and 466:
; CONICORUM LIBER III. 447 allela d
Page 467 and 468:
CONICORUM LIBER III. 449 cojiiuDgen
Page 469:
CONICORUM LIBER III. 451 autem ®^^
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