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330 COMMENTARIA ANTIQUA. 7t6v i^TLV, G)g olov TCQog olov. akl^ iccv ^sv aito tov cctio EO afpaiQE^r^ ro ano ATL^ %ovxi(5xi xo aito ZO^ naxaXeC- Ttstai to vjtb KZE' l'0r} yaQ rj KO tfi OE' iav ds aTto rov vTcb AOA dgâLQsd^f] tb vTtb AUA, ksiTtsxai 5 xb vjtb MOn, xovxs6ti xb vitb &ZA' larj yccQ r] ATI tfi MA xal rj 11N trj NM. ^6xlv ccQa, (X)g xb ditb TA JtQbg tb ditb FB, loinbv xb vnb KZE TtQog xb vjtb AZ&. orav ds xo Z iyixbg fj xrjg xo^rjg, xdg 7tQ06d-s6Sig 10 xal d(paiQs6sig dvaTtaXiV Ttoirjxsov: Elg xb irj\ "Ev tiGiV dvtiyQd(poig rjvQsd^ri stSQa dTtodsiîg tovtov tov ^scjQriâtog' 'Edv sxatsQag t^v toîav icpaitto^svai sv&stai 6vii- 15 7ti7ttco0i, xal ovtcog s6tai td slQrj^sva.. s6tG}
i EUTOCII COMMENTARIA IN CONICA. 331 tum ad totum. sin Sib EO^ aufertur z/il^ siue ZO^j relinquitur KZ X ZE [Eucl. II, 5]; nam KO = OE. sin ab AOxOA aufertur AIIX UA, relinquitur^) MO X On siue @Z X ZA\ nam AU = MA et nN=NM. QxgorA^:rB^ = KZxZE:AZxZ®. sin Z extra sectionem positum est, additiones et ablationes e contrario faciendae sunt. Ad prop. XVIII. In nonnullis codicibus huius propositionis alia demonstratio inuenta est: Si utramque sectionem contingentes rectae. concurrunt, sic quoque erunt, <strong>quae</strong> diximus. sint enim oppositae Aj B easque contingentes A Fj FB in r concurrentes, et in B sectione sumatur punctum z/, et per id rectae AF parallela ducatur EAZ, dico, esse Ar':rB^== EZXZA :ZB^. nam per A ducatur diametrus A&H, per jB, H autem rectae EZ parallelae HiiT, BA. quoniam igitur a B hyperbolam contingit B® et ordinate ducta est BA, erit AA:AH= A® : ®H AA : AH = FB : [I, 36]. est autem BK^) et A® : ®H = AF : KH Fig. hab. Wp, sed sine Htteris. 1) U. Pappi lemma 3 ad libr. IF, et cfr. Eutocius ad II, 23. 2) Nam J@:0A= r@:@B, AA:rB = @A:@B = HA:KB.
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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. 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. LIX Pappi lemma
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PROLEGOMENA. LXI monstratione recep
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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. LXXV ipsius scctioni
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PKOLEGOMENA. LXXIX aut extra eam, c
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PROLEGOMENA. • LXXXIII de prets d
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KiiNIKi^N 8'. IIqoxbqov êv iêd^Tj
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FRAGMENTA.
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I COMMENTARIA ANTIQUA.
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144 COMMENTARIA ANTIQUA. [Eucl. III
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146 COMMENTARIA ANTIQUA. xal 6xaXr}
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