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424 KSiNIKSiN y'. svdêiKL TCQog oQd-dg, xal tS terccQtc) ^bqsl tov sfdovg l'6ov TtKQcc tov ccôva TtaQa^Xrjdîj icp' mdtSQa inl êv rrjg vTCSQPoXijg xal tcov dvtvnBi^Bvov vTtsQ^dXXov sldst tstQaycovc), iitl ds tijg 5 iXlsC^sayg iXXstjtov, ^X^V ds y,g svd^sta icpaTtro^svYj rrjg roîjg 6v^7tL7trov6a ratg JtQog OQd^dg svdsLacg, at dito rcov 6v^7trcQ6scov 10 dyo^svat svd^stat ijtl rd ix rrjg TtaQapoXijg ysvrjd^svra arj^sta oQd^dg tcolov6t ycovLag TtQog rotg stQrifiivoig (Srj^SLOig. 15 s6rco iiLa rcov siQrjîvcov ro^cov, rjg d^cov bjAB, TtQog oQd-dg ds aC AF, 5z/, icpaTtroinivri ds^ri FEJ, Tcal rc3 rsrdQtco ^sqsl rov sldovg Idov TtaQa^s^kriG^G) iq)' sxdrsQa, cog sfQr^raL, tb vno AZB xal rb vjcb AHB, Kal iTtsSsvxôoaav at FZ, FH, AZ, JH Xiyco, 20 oti ri rs V7t6 FZ^ xal rj vito FHzJ ycovCa oQ^^ri iefrLv. iitsl yaQ rb vitb AF, B^ l0ov idsC%^ri tc5 rsraQrc} îQSL rov TtQbg rfj AB sl'dovg, s6rL dl xal ro vjtb AZB l'0ov rco rsrdQrco îQSL rov sfdovg, rb aQa vitb 25 AT, AB l'6ov i6rl ra vnb AZB, sartv ccQa, tog ri FA TtQbg AZ, r} ZB JtQbg BA. xal oQd-al at JtQbg rotg A, B arjfisCoLg ycovCaL' i'6rj uQa rj ^sv V7tb APZ yovCa rij VTtb BZA, rj 8s V7tb AZT rfj V7tb ZAB. Tcal iTtsl 7) VTtb TAZ OQ^r\ i(5riv, aC aQa V7tb ATZ, 20. rz^] p; rJZ vc, r^"Z' V (lineolae a manu 27. vno'] pc, supra scr. m. 1 V. u2?a d
CONICORUM LIBER m. 425 quadrata excedens, in ellipsi autem deficiens, sectionemque contingens recta ducitur <strong>cum</strong> rectis perpendicularibus concurrens, rectae a punctis concursus ad puncta adplicatione orta ductae ad puncta, <strong>quae</strong> diximus, rectos angulos sit efficiunt. aliqua sectionum, quas diximus, cuius axis sit ^B, perpendiculares autem AFj Bz] contingensque FEzI, et quartae parti figurae aequale in utramque partem adplicetur ita, ut diximus, AZX ZB et AHXHB, ducanturque TZ, Tif, ^Z, ^H dico, angulos FZ^ et FHJ rectos esse. nam quoniam demonstrauimus , esse AFxBJ quartae parti figurae ad AB adplicatae aequale [prop. XLII], uerum etiam AZxZB quartae parti figurae aequale est, erit AFx ^B = AZ X ZB. itaque rA:AZ==ZB: 5z/ [Eucl. YI, 16]. et anguli Sid Aj B positi recti sunt; itaque [Eucl. VI, 6] L AFZ = BZA, L AZr^Z^B. et quoniam LFAZ rectus est, L ATZ -\- AZF uni recto aequales sunt [Euci. I, 32]. et demonstrauimus etiam, esse L AFZ == ^Z5; itaque L TZA -{- ^ZB uni recto aequales erunt. ergo
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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
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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
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,
Page 405 and 406: 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
Page 415 and 416: sit CONICORUM LIBER III. 397 hyperb
Page 417 and 418: CONICORUM LIBER III. 399 KA = TH [E
Page 419 and 420: 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
Page 425 and 426: CONICORUM LIBER III. 407 sit sectio
Page 427 and 428: CONICORUM LIBER III. 409 nem rectam
Page 429 and 430: 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
Page 441: CONICORUM LIBER m. 423 iam eodem mo
Page 445 and 446: CONICOEUM LIBER III. 427 leliquus a
Page 447 and 448: CONICORUM LIBER III. 429 inter se c
Page 449 and 450: CONICORUM LIBER m. 431 que etiam Â
Page 451 and 452: CONICORUM LIBER lU. 433 nam quoniam
Page 453 and 454: 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
Page 459 and 460: 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
Page 465 and 466: ; 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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