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

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336 KS^NIKSiN y'. KSVtQOv t6 &, xal £7tslEV%%^coaav Yi re AA xal rj E&H, £ikricp%-G) ds STtl rijg AB ro^rjg tvxbv Crj^stov rb B, xccl du^ avtov ri%%-G)6av Ttaga ^lv rr]v AH rj BZJ, Ttaga ds rrjv AE rj BM. Xsyco, ori t6 BZM 5 rgCycovov rov AKA dtacpSQSL ra KEZ. ori ^sv yccQ rj AA di%a rs^vsrai vnb rrjg E®, CpavsQOV, Kal ori, rj E& did^stQog s
CONICORUM LIBER III. 337 nam hoc qmdem manifestum est, AA ab E® in duas partes aequales secari [II, 39], et ES diametrum esse K cum ea coniugatam, quae per @ rectae A/i parallela ducitur [II, 38]; quare îf ad iifJ5? ordinate ducta est [I def. 6]. iam quoniam HE diametrus est, et contingit AE, ordinate autem ducta est AHj et sumpto in sectione puncto B ad EH ductae sunt BZ rectae AH parallela et 5ikr rectae AE parallela, adparet, esse BMZ = A@Z -\- ®AE [I, 45] 1). ergo etiam BZM= AKA + KZE. et simul demonstratum est, esse BKEM = AKA. XII. lisdem positis si in altera sectione duo puncta sumuntur, et ab utroque parallelae ducuntur, eodem modo quadranguli ab iis efiPecti aequales erunt. sint enim eadem, quae antea, et in AB sectione puncta quaelibet sumantur 5, K, et per ea ducantur 1) In secunda figura ex I, 43 erit' BMZ = A®Z -^ @AE = KZE -i- AKA. et hoc significat illud dicccpiQEL. Apollonius, ed. Heiberg. 22
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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]
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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
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: CONICORUM LIBER III. 335 nam quonia
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,
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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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