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

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50 KSiNIK^N cc', jiOLvrj de to^rj roi; ts^vovtog iniTtidov xal tov, iv w i6tLV 7} pdctg Toi; kcjvov, 66tG) ij ZH TCQog ogd^ccg ov0a tfj BF^ rj ds dLcc^stQog tijg toîjg eatcj rj EJ^ K«l dno roi5 E tfj E^ TtQog OQd-dg -ji^Ôoj r] E&^ Kal 5 dtd tov A tij E^ TtaQdXlrjXog ri%^co rj AK^ Tcal 7t87tOLri6â ag to djtb AK itQog xo vjto BKr^ ovtog rj AE TtQcg trjv E@, %al SLXtjcpd-cj xl arj^stov iitl tr\g to^rjg to A, xal dtd tov A tfj ZH TtaQaXXriXog rjxdô ri AM. Xiyo, ort rj AM SvvataC tL %g}Qlov^ o TtaQd- 10 TCELtaL TtaQd trjv E® itldtog e%ov tr]v EM iXXetjtov SldSL OÔLG) t
CONICORUM LIBER L 51 BKX KFj et in sectione sumatur Ê : E® = AK^ : punctum aliquod yl^ et per A rectae ZH parallela ducatur AM. dico, AM quadratam aequalem esse spatio rectae E® adplicato, quod latitudinem habeat EM et figura deficiat simili rectangulo JEx E®. ducatur enim z/0, et per Mrectae 0£Jparallela ducatur MlSlNj per ®, ^ autem rectae EM parallelae ducantur ®Nj SOj et per M rectae BF parallela ducatur 11MR iam quoniam 11P rectae BF parallela est, et etiam AM rectae ZH parallela, planum reetarum AM, HP plano rectarum ZH, BF parallelum est [Eucl. XI, 15], hoc est basi coni. itaque si per AM^ TIP planum ducitur, sectio circulus erit, cuius diametrus erit HP [prop. IV]. et ad eam perpendicularis est AM\ itaque erit AM^ = HMx MP. et quoniam est et et AK^ :BKxKr=EJ: E®, est AK^ :BKxKr= (AK : KB) x (AK : Kr\ est AK:KB = EH:HB = EM:Mn [Eucl. VI, 4], AK:Kr= AH:Hr= zJM:MP [ib.],
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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.
Page 13 and 14:
PRAEFATIO. yii libri sunt, solo num
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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 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: CONICORUM LIBER I. 49 XIII. Si conu
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 117 and 118: CONICORUM LIBER I. 99 iam igitur ea
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CONICORUM LIBER I. 101 nam si fieri
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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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Page 135 and 136:
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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Page 153 and 154:
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
Page 257 and 258:
CONICORUM LIBER II. 239 ductae enim
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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
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CONICORUM LIBER II. 247 TAA^ EBZ in
Page 267 and 268:
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].
Page 297 and 298:
CONICORUM LIBER II. 279 primum in s
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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
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CONICORUM LIBER II. 289 facturn sit
Page 309 and 310:
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
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
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1 CONICORUM LIBER II. 31 nT:TO= TN^
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CONICORUM LIBER II. 313 datus autem
Page 333 and 334:
CONICOEUM LIBER II. 315 [Eucl. I, 4
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: CONICORUM LIBER II. 317 et sumpti
Page 337 and 338:
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
Page 343 and 344:
CONICORUM LIBER III. 325 antea dixi
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CONICORUM LIBER III. 327 V. Si duae
Page 347 and 348:
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
Page 367 and 368:
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
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
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mz, rectae CONICORUM LIBER m. 395 a
Page 415 and 416:
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® =
Page 423 and 424:
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
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
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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
Page 447 and 448:
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
Page 455 and 456:
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.
Page 461 and 462:
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
Page 467 and 468:
CONICORUM LIBER III. 449 cojiiuDgen
Page 469:
CONICORUM LIBER III. 451 autem ®^^
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