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402 K5iNIK5iN y'. xal PH, Tovt £azL ro PS. l'6ov de to PS ta A®y STtsl xcil to r® ra BF xal zo MB ra S&- sOtLV aQcc, G)g t6 Nr TtQog t6 JT©, ovrag ro NA jtQog A0, alk' G)g 116V t6 NF TtQog JT©, r^ N2J TtQog 2J0, rovraGriV h ri AH TtQog HS, 6g ds ro NA nQog A&, ^ NP TtQog P&, rovrscfriv 7} AK JtQog K@' Tcal Sg aQa ^ AK TtQog K@, 7} AH TtQog H&. 'Eav occovov ro/tijg tj xvxXov TtSQKpeQeCag r] rav 10 dvrLKSLêvcov dvo evdêtat i^paTtroêvat 6v^7tinra0L, xal inl [lev rag d(pag avrmv iTtLêvx&fj evdêta, dito de rfjg av^TtrcoOecog rcov i(pa7troêvcov diax^rj tLg re^vovCa ri}v yQa^^^^v xard dvo Criêta, e6iaL, ag olrj TiQog rrjv ixrog djtoXa^pavoêvrjv , rd yLVOêva rîj- 15 iiara vno rrjg rdg d(pdg iTtLêvyvvoverjg. ^6rc3 Kcovov ro^ri riAB xal icpaTtrofievaL aCAF, FB, Kal ineêvx^G) rj AB, xal dLrjX^co rj FJEZ. Xeym, otL iarCv, 6g rj FZ TtQog Tz/, rj ZE TtQog Ezt. rix^GiOav dLa rcov F, A dLaêrQOL rrjg ro^r^g at 2. Br] B6) V; corr. Memus. 13. ri oXr}'^ 15. t^s} Tfig Ini V; corr. Memus. 18. TZ] Tz/ V; corr. p (ZT). T//] rZ V; corr. p.
CONICORUM LIBER III. 403 Nr : r® = AN : BH + PH = JN : PS est autem P^=^J®, quoniam etiam F® = BF [II, 12] et MB = ^0. itaque NT: T® = NA : A®. uerum Nr:r® = NZ:Ze [Eucl. VI, 1] == AH:H& [Eucl. VI, 2J, et NA:A@ = NP: P® [Eucl. VI, 1] = AK:K@ [Eucl. VI, 4; V, 12, 16]. ergo etiam AK : K& = AH : H@. XXXVII. Si duae rectae coni sectionem uel ambitum circuli uel sectiones oppositas contingentes concurrunt, et ad puncta contactus earum recta ducitur, a puncto autem concursus contingentium recta ducitur lineam in duobus punctis secans, erunt, ut tota ad partem extrinsecus abscisam, ita partes a recta puncta contactus coniungenti effectae. z ^ sit coni sectio AB contingentesque AT^ TB^ et ducatur AB^ ducaturque TAEZ. dico, esse TZ:TA = ZE: EA. per F, A diametri sectionis ducantur I"0, AK^ Praeter nostras figuras duas habet V alios casus in oppo- repraesentantes. 26* sitis
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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
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,
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: CONICORUM LIBER III. 401 nem opposi
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 and 442: CONICORUM LIBER m. 423 iam eodem mo
Page 443 and 444: CONICORUM LIBER m. 425 quadrata exc
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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