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80 KSiNIKSiN a'. iKet,ev%ô 17 z/Z* ^ z/Z aQa iKâkkoîvri 6vyL7tE6Bltai xfl dLa^BTQCi rrjg to^rjg. Cv^TtiTixixG) %axa xo A' xaC icxL ^sta^v f^g xs xo^fjg xal xfjg Z/iA rj FÊ. xal 7] rÊ aga iKâkkoîvri CvyîtsOstxaL xrj dLafiixQG) 5 ixxog xrjg xo^rjg. 'Eav iXXsLtl^SL As'. svdsta 6v^TtL7txov6a ^sxa^v x^v dvo dLaîxQGiv ixpaXkoîvrj icp' sxdxsQa smog TtLTtxrj xrjg xo^rjg, OvfiTtsastxaL sxaxiQa xav dLaîxQcov. 10 s6xG) sllsLipLgj rjg dLa^sxQOL at AB, Fz/, xal xavxrj (jv^jtLTtxixG) XLg sv^sta ^sxa^v xcov dvo diaîxQG^v rj EZ xaxa xb H xal ixâlXoîvri i(p' sxdxsQa ixxbg TtLTtxixo xrjg xoîjg. kiyo, oxl rj EZ av^7ts6stxaL sxaxiQa xov AB, Fz/. 15 xaxi^xdôeav aTto xov H iitl xag AB, FA tsxayîvog ai H@, HK. iTtSL TCaQaXlrilog iexLv rj HK xfi AB, av^7ti7txG)Ks di xtg xfj HK rj HZ, xal xrj AB aQa 6v^7ts6stxaL. 6^0LG)g drj Tcal tfj FA 6v^7ts6sttaL rj EZ. 20 'Edv iv 7taQaôkfi tJ vTtsQpokfj sv^sia dx^fj TiaQa tfjv did^sxQOv xrjg xo^rjg, 6v^7ts6stxaL xfj toy^fj xad'^ ^v ôvov 6rj^stov. ^6tG) TtQotsQOV 7taQaôXri^ rjg dLdfistQog rj ABF^ oQ^^Ca d\ rj A^, xal tfj AB 7taQdXkrjkog rjx^co rj 25 EZ. Xiyo^ otL rj EZ ixpaXXoîvrj 6v^7ts6sttaL tfj to^fj. 2. T^g] Ijctos riys Halley. 5. t^s] om. in extr. lin. V, corr. vp. 6. xf'] p, om. V, m. 2 v. 16. HKl (pr.) p, corr. ex @K m. 1 V. 18. ri\ p, om. V. 19. xg'] p, om. V, m. 2 V. 20. Bv] addidi; om. V. 23. 17] p, om. V. I rf
\q CONICORUM LIBER I. 81 ducatur z/Z. /IZ igitur producta cum diametro sectionis concurret [prop. XXII]. concurrat in A. et TAE inter sectionem et rectam ZAA posita est. ergo etiam TAE producta cum diametro extra sectionem concurret. XXV. Si recta cum ellipsi inter ambas diametros concurrens in utramque partem producta extra sectionem cadit, cum utraque diametro concurret. sit ellipsis, cuius diametri sint AB^ JTz/, et cum ea recta EZ inter ambas diametros concurrat in H dico, EZ cum utraque diaz^^ i j I et in utramque partem producta extra sectionem cadat. metro AB^ TA concurrere, ab if ad AB, TA ordinate ducantur if©, HK. quoniam HK rectae AB parallela est, et recta aliqua HZ cum HK concurrit, etiam cum AB concurret. et eadem de causa etiam EZ cum Fz/ concurret. XXVI. Si in parabola uel hyperbola recta diametro sectionis parallela ducitur, cum sectione in uno puncto solo concurret. sit prius parabola, cuius diametrus sit ABT, latus autem rectum AA, et rectae AB parallela ducatur EZ, dico, EZ productam cum sectione concurrere. Apollonius, ed. Heiberg. 6
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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
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: eT CONICOKUM LIBER I. 79 sit ellips
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
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 and 142: 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
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CONICORUM LIBER I. 131 [Eucl. I, 41
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CONICORUM LIBER I. 133 sit hyperbol
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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
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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
Page 387 and 388:
CONICORUM LIBER III. 369 [eodem mod
Page 389 and 390:
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
Page 395 and 396:
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
Page 413 and 414:
mz, rectae CONICORUM LIBER m. 395 a
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sit CONICORUM LIBER III. 397 hyperb
Page 417 and 418:
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® =
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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.
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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