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32 K^NIKSiN S' 'Eccv ds To Xrig^d^sv (jrjêtov iiti tLvog tj tcov a6v^- TCtcorcov, xal ta Xoma yevrjtai Ta avzdj rj dia tav TCeQatcov tcov v7tSQ0%av ayoiidvrj evdêta TtaQalXrjkog 6 66taL tfi a6v^7ct(6tc), i(p rjg B
CONICORUM LIBER IV. 33 opposita concurrere, rectasque a punctis concursus ad z/ ductas sectiones contingere. ducantur enim a /1 utramque sectionem contingentes Ê^ AZ-^ itaque recta per J5J, Z ducta per jRT, H ueniet. nam si minus, aut per alterum eorum ueniet aut per neutrum, rursusque eodem modo absurdum concludemus [III, 39]. XX. Sin punctum sumptum in alterutra asymptotarum positum est, et reliqua eadem fiunt, recta per terminos excessuum ducta parallela erit asymptotae, in qua punctum positum est, et recta a puncto ducta ad concursum sectionis rectaeque per terminos ductae sectionem continget. sint oppositae A, B, et punctum z/ in alterutra asymptotarum sit, reliquaque eadem fiant. dico, rectam per K, H ductam cum sectione concurrere, a puncto concursus ad z/ rectamque ductara sectionem contingere. a ^ contingens ducatur ^Z, et a Z recta ducatur asymptotae parallela, in qua est z/; ea igitur per K, H ueniet. nam si minus, aut per alterum eorum ueniet aut per neutrum, et eadem euenient absurda, quae antea [III, 36]. XXI. Rursus sectiones oppositae sint A, B, et z/ punctum in alterutra asymptotarum sit, et ABK alteri a- symptotae parallela cum sectione in uno puncto solo B concurrat, jTz/© autem cum utraque sectione concurrat, sitque Tz/ : z/0 = FH : H® et BK = z/5. Apollonius, ed. Heiberg. II. 3
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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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p. 74, 15 AHT] ABF PROLEGOMENA. LII
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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. LXV Bignificare uidetn
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FRAGMENTA.
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I COMMENTARIA ANTIQUA.
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