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56 KSiNlKS^N $'. £6tco0av avtLKSL^svaL at ^, AEFZ^ xal s6t(o x(6- vov toiirj 7] xvxXov TtsQiq^BQSLa rj ABZ av^nCntovOa rfj stSQO. toov avtLKSL^svcjv xata dvo arj^sta ta A, Z, xal sxstco0av 5 aC ABZ, AFZ toâl i%l ta avta îSQfi ta xolla, IsyG)^ otL Tj ABZ yQaîiri sxâkko^svrj ov 6v^Jts0SLtaL trj z/. sjts^svx^^ T^Q ^Z. xal 17 iTtsl 10 avtLXSL^svaL sColv au ^, AFZ, xal rj AZ svd^sta xata dvo ts^vsu trjv vnsQôXriv^ ov av^7ts6SLtaL ixâXXo^svr} tfj A avtLXSLîvrj, ovdh aQa 7] ABZ yQaîiTj avintsasttaL tfj A. 15 Êav xcovov ro/ir/ 7] xvxXov 7tsQL(piQSLa fiLa tcov dvtLXSLiiivcov av^TtLTttrj, trj XoLTtfj avtojv ov av^Ttsasttat xata TtXsLOva arj^sta 7] dvo, satcoaav dvtLXSL^svaL at A, B, xal av^paXXitco tfj A xcjvov to^rj t) xvxkov itsQLcpSQSLa rj ABF xal ts^- 20 vitco trjv B dvtLXSL[iivrjv xatd td B, F. Xiya^ otL xar' «AAo arj^stov ov av^TtsasttaL tfi BF. si yaQ dvvatov, av^TtLTttitcj xatd to A. rj ccQa BFA tfj BF toîfi av^^dXksL xatd TtlsCova arj^sta rj dvo fir} iTtl td avtd iôvaa td xotXa' oitSQ ddvvatov. 25 oiioCcog ds dsLx^riastaL, xal idv rj ABF yQa^^ri trjg dvtLXSLîvrjg icpccTttritaL, 15. ftta] p, om. V. 19. A] p, del. punctis V; A c, om. v. 20. TTiv B] zfj NB V; T17V BT p; corr. Memus. 24. firj] om. Vp; corr. Memus.
CONICORUM LIBER lY. 57 sint oppositae sectiones z/, AEFZ, sitque ABZ coni sectio uel arcus circuli cum altera oppositarum concurrens in duobus punctis A^ Zj et ABZ, ATZ sectiones concaua ad easdem partes habeant. dico, lineam ABZ productam cum /i non concurrere. ducatur enim AZ. et quoniam AÂTZ oppositae sunt, et recta ^Z in duobus punctis hyperbolam secat, producta cum opposita ^ non concurret [II, 33]. ergo ne linea ABZ quidem cum A concurret. XXXVII. ' Si coni sectio uel arcus circuli cum altera oppositarum concurrit, cum reliqua earum nou concurret in pluribus punctis quam in duobus. sint oppositae A^ B^ et cum A concurrat coni sectio uel arcus circuli ABT secetque oppositam B in Bj T dico, eam cum BTin nullo alia puncto concurrere. nam si fieri potest, concurrat in A. BTA igitur cum sectione BT m pluribus punctis quam in duobus concurrit concaua ad easdem partes non habens [prop. XXXVI]; quod fieri non potest [prop. XXXV]. similiter autem demonstrabimus, etiam si linea ABT oppositam contingit.
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(D s APOLLONIl PERGAEI QUAE GEAECE
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PEAEFATIO. Praeter librum lY Conico
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AB PRAEFATIO. V 3. cod. Paris. Gr.
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PRAEFATIO. VII II p. 306, 2 A, B] A
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; PRAEFATIO. IX pro nACGON, p. 202,
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PROLEGOMENA. Cap. I. De codieibus C
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PROLEGOMENA. XIII Apollonii Conic.
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PROLEGOMENA. XV codicum illorum XXV
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: PROLEGOMENA. XVH in Galliam cum c
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PROLEGOMENA. XIX i-n — om., ov 8i
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PEOLEGOMENA. XXI Ss 24; p. 4, 13 6v
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PROLEGOMENA. XXIII p. U, 2 Tf^vovaL
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PROLEGOMENA. XXV p. 166, 2 dvo] pos
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PROLEGOMENA. XXVII p. 292, 20 ^Z] s
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PROLEGOMENA. XXIX I p. 410, 16 eatc
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PROLEGOMENA. XXXI obstat, quomiims
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I PROLEGOMENA. XXXIK i>lOCT£QOC p.
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27 PROLEGOMENA. XXXV p. 104, 5 MB]
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PROLEGOMENA. XXXVII iit] H% T£ I p
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PROLEGOMENA. XXXIX B// 11 0if] in r
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PROLEGOMENA. XLI TtccQdXXrjXog, nat
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PROLEGOMENA. XLIII A e corr. 6 %ai
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PROLEGOMENA. XLV 12 rijff] T5g AB 1
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PROLEGOMENA. XLVII Sia tov O 21 nrZ
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PROLEGOMENA. XLIX eS — 19 MZ ro]
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PROLEGOMENA. LI p. 4, 5 TOfvTa] zcc
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p. 74, 15 AHT] ABF PROLEGOMENA. LII
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PROLEGOMENA. LV p. 104, 4 JE] V, Ez
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PROLEGOMENA. LVII Cap. II. Q,uo mod
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PROLEGOMENA. LIX Pappi lemma
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PROLEGOMENA. LXI monstratione recep
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PROLEGOMENA. LXIII praeter hos loco
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PROLEGOMENA. LXV Bignificare uidetn
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PROLEGOMENA. LXVII I p. 104, 4 JE]
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; PROLEGOMENA. LXIX Gtiq^rjg 7toXv7
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PROLEGOMENA. LXXI fatione ornatae c
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PROLEGOMENA. LXXIII 18 TtXdTog —
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. PROLEGOMENA. LXXV ipsius scctioni
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PROLEGOMENA. LXXVII caput linee mun
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PKOLEGOMENA. LXXIX aut extra eam, c
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PROLEGOMENA. LXXXI lun. 1428). qui
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PROLEGOMENA. • LXXXIII de prets d
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PROLEGOMENA. LXXXV notis commemorau
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