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

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10 206 K.QNIKSiN §'. rj ^H. dia^stQog aga scxl rrjg to^rjg' 7] aga xatcc to B ifpajtto^svYj TtaQallrilog i6ti tfj AF. e
CONICORUM LIBER II. 207 j4r in H in duas partes aequales secetur, et ducatur zJH] ea igitur diametrus sectionis est [prop. VII]. £ itaque recta in B contingens z concurrat in E, Z. rectae AF parallela est [prop. V — VI]. contingat igitur @BK. itaque cum E/lÂZ concurret [prop.III]. quoniam igitur AT et KB parallelae sunt, et K& cum AK,A® concurrit, etiam AF cum AE, AZ concurret. et ®B = BKj quare etiam [Eucl. VI, 4] ZH = HE. ergo etiam TZ = AE. IX. Si recta cum asymptotis concurrens ab hyperbola in duas partes aequales secatur, in uno puncto solo sectionem tangit. recta enim TA cum asjmptotis TAA concurrens ab hyperbola in puncto E in duas partes aequales secetur. dico, eam in nullo alio puncto sectionem tangere. nam si fieri potest, tangat in B. itaque TE = BA [prop. VIII]; quod absurdum est; supposuimus enim, esse TE = EA. ergo TA in nullo alio puncto sectionem tangit. X. Si recta aliqua sectionem secans cum utraque asymptota concurrit, rectangulum comprehensum rectis inter asymptotas sectionemque abscisis aequale est quartae parti figurae ad diametrum effectae, quae
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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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Page 121 and 122:
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==
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: CONICORUM LIBER II. 205
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
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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
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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
Page 469:
CONICORUM LIBER III. 451 autem ®^^
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