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

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232 KSiNIK tov TtaQa tr]v AB eldovg, ta de tetdQtco êQeL tov 7taQd tr]v AB etdovg 4. Tov] bis V, corr. cvp. 12. tcov] (alt.) addidi; om. V. 17. XEZ, XH®] EXZ, HX@ p, Halley <strong>cum</strong> CommandiDO; sed cfr. lin. 18. 19. ©£] @X V; corr. Memus (et); &KE p.
CONICOEUM LIBISl n. 233 ea igitur asymptota est [prop. I]. ergo E pmictum in asymptota est. XXII. Si in oppositis coniugatis e centro recta ad quamuis sectionum ducitur, eique parallela recta ducitur <strong>cum</strong> una sectionum deinceps positarum asymptotisque concurrens, rectangulum comprehensum partibus rectae ductae inter sectionem asymptotasque ortis aequale est quadrato radii. sint Ay B, r, A sectiones oppositae coniugatae, asymptotae autem sectionum sint XEZ, XH®y et a coniugatae sunt [I def.6]. ^Z centro X ducatur recta XFz/, eique parallela ducatur ®E secans et sectionem deinceps positam et asymptotas. dico, esse EKxK® = FX^. KA in M in duas partes aequales secetur, ductaque MX producatur; AB igitur diametrus est sectionum A, B [I, 51 coroll.]. et quoniam recta iu A contingens rectae E& parallela est [prop. V], E® ad AB ordinate ducta est, et X centrum est; itaque AB, TA diametri quare TX'^ aequale est quartae parti figurae ad ^5 adplicatae [I, 56]. uerum quartae parti figurae ad ^B adplicatae aequale est @Kx KE [prop. XJ. ergo etiam @KXKE = TXK
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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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Page 115 and 116:
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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
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: CONICORUM LIBER 11. 231 est autem,
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@
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CONICORUM LIBER II. 283 positione d
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CONICORUM LIBER II. 285 quartae par
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CONICORUM LIBER II. 287 Ajd'^ itaqu
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CONICORUM LIBER II. 289 facturn sit
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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
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CONICORUM LIBER II. 303 rectum aequ
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CONICORUM LIBER II. 305 dicularis d
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CONICORUM LIBER II. 307 HZA, et duc
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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
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CONICOEUM LIBER II. 315 [Eucl. I, 4
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: CONICORUM LIBER II. 317 et sumpti
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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
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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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