Apollonii Pergaei quae graece exstant cum ... - Wilbourhall.org

More documents

Recommendations

Info

124 KP.NIKS^N a'. 7tSQLq)EQsCag êtcc xov ccTto trjg xatrjyÊvrjg eldovg l' bv sxsl r} OQ^Ca TtQog trjv TtkayCav, IsyOy oti, inl ^sv trjg vitSQPoXrjg tb ditb tr,g Ezf 10 sldog t6 ofiOLOv ta AZ l ov ^%SL rj AE TtQbg EZ xal tov bv i'%SL rj OQd^Ca TtQbg trjv nXayCav, tovts6tLV rj AF JtQbg F©, stu ds rj AF TtQbg FH tbv CvyxsC^svov s%sl koyov sx ts tov bv s%SL rj.dritQbg F® xal ix Toi; oV s%sl rj @r TtQog FH, 6 ccQa GvyxsC^svog Xoyog sx ts tou 25 bv s%SL rj AE TtQbg EZ xal ix tov bv s%sl rj ^F TtQbg FQ o avtog iatL tw 6vyxsL^sv(p Xoycp sx ts tov bv s%SL rj AF JtQbg FQ xal ix to£> ov s%sl rj &r TtQog FH, xoLvbg d^prjQrjad^co 6 trjg TA itQog T&' 8. Ih rov] l^ ov V; corr. Halley. 13. nsnoisiGd-co V; corr. p. 23. sk tov] I| ov V; corr. Halley. 25. in tov] li ov V; corr. Halley. 27. h tov] i^ ov V; corr. Halley.
CONICORUM LIBER I. 125 sit hyperbola uel ellipsis uel ambitus circuli, cuius diametrus sit AB, ceutrum autem E^ et ordinate ducatur jTz/, et in EA, Fz/ figurae aequiangulae describantur AZ, ^H, rationemque habeat Pz/ : FH compositam ex ea, quam habet AExEZ, eaque, quam habet latus rectum ad transuersum. dico, in hyperbola figuram in EA descriptam similem figurae AZ aequalem esse figuris AZ -\- HA, in ellipsi autem et circulo figuram in EA descriptam figurae AZ similem adiuncta figura HA aequalem esse figurae AZ. fiat enim, ut latus rectum ad transuersum, ita AF ad r&. et quoniam est, ui AF'. F®, ita latus rectum ad transuersum, est autem AF: r& = ^rîAFx F®, et ut latus rectum ad transuersum, ita z/r^ ad BA XÂ [prop. XXI], erit BAxAA== AFx F® [Eucl. V, 9]. et quoniam AF-.rH rationem habet compositam ex ea, quam habet AE-.EZ, eaque, quam habet latus rectum ad transuersum, h. e. jdF-.r®, et praeterea est Ar:rH= (z/F: T©) X (@r: Fif), erit (AE : EZ) X (Ar : T®) = (z/r : r&) X (©r : FH). auferatur, <strong>quae</strong> communis est, ratio FA : F®. itaque AE:EZ = @r: FH. est autem ©r:rH=@rxrA :HrxrA,
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 and 38:
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 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 and 130: CONICORUM LIBER I. 111 comprehendet
Page 131 and 132: CONICOEUM LIBER I. 113 in ellipsi a
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: 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
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 ®^^
show all

Apollonii Pergaei quae graece exstant cum ... - Wilbourhall.org

Create successful ePaper yourself

Delete template?

Save as template?