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358 COMMENTARIA ANTIQUA. TtaQccXXrjXog avrrj rj FÊ' di%tt aga TSziirjtaL xata tb @ iv ^sv tfj EABV ysyQa^êvrj r] EF, sv ds rfj ÂBF ri ^r. t0ri aga rj E& tfj 0z/* onsQ advvarov. "AXXcog ro /ity'. 5 "E0tco0av avtLXSL^svai, at A, B, xal vTtSQôXr} rj FAB^ STcatSQav tcjv dvtLXSL^svcov ts^vstco xata ra r, A, B, z/, dvrLKSL^svri ds avrrjg sdrco rj EZ. Xsyco^ on rj EZ ovdsrsQcc rmv dvrLKSL^svcav av^7Cs6sLraL. sitsisvxQ^coaav yccQ at z/B, FA xal SKps^XrjOd^coaav 10 xal 6v^7tL7trsrG)6av dXXrjXaLg Tcard rb @* saraL ccQa rb ® ^sra^v rcov dav^Ttrcorcov rrjg FAB ro^^^g. sarco- 6av dav^TtrcoroL rrjg FABjd at KHA, MHN' cpavsQbv driy ort at NHA rrjv EZ ro^rjv 7tSQLS%ov6LV, xal rj TA rs^vsL rrjv FA^ ro^rjv icard dvo ^rj^sta rd F^ A' 15 sTCpalXo^svrj ccQa sq)^ STcdrsQa rf] dvrLKSL^svr] ov 6v^7ts6SLraL rfj ABO, «AA' s6raL ^sra^v rrjg BO ro^fjg xal rfjg AH. oÔLCog dr] xal rj AB® ov 6v^7ts6sLraL rfj FAlEl, dXl' ^6raL ^sra^v rrjg A^ xal rrjg HN. STtsl ovv at 077, &P ^r] 6v^7tL7trov6aL 20 ratg A, B roâig 7tsQLS%ov6L rdg NHA d6vfi7trcorovg Kal TtoXXco ^dXXov rr]v EZ roiirjv, r] EZ ovdsrsQcc roov dvrLXSi[isvcov 6v^7ts6sLraL. "AkXcog rb va'. Asyco, oTt r) E ovdsrsQa rcov A, B 6v^7ts6straL. 25 Y]%d^co6av d7tb rcov A, B scpajtro^svaL rcov ro^cov 2. iv (alt.)] st Wp, corr. Comm. 7. P] insert. W. avriiiEL(itvr}v comp. p. avzij Halley. 8. EZ] p, i^ post ras. 1 litt. W. GvfinsasiTai] av^- supra scr. m. 1 p. 11. davfi- TtTcoTmv] av^TCTtoascov Wp, corr. Comm. FAB^ Halley cum Comm. 14. FAZ p. 15. uQa] om. Wp, corr. Halley cum Comm.; possis etiam lin. 13 xal insl r] scribere. 17.
EUTOCII COMMENTARIA Ilsr CONICA. 359 Aliter prop. XLIII. Sint oppositae A, B, et liyperbola FAB^ utramque oppositam secet in JT, A, B, z/, opposita autem eius sit EZ. dico^ EZ cum neutra oppositarum concurrere. ducantur enim /IB, FA producanturque et in ® concurrant; igitur intra asymptotas sectionis PAB positum erit [II, 25]. sint KHA^ MHN asymptotae /^Tf sectionis FABA] manifestum igitur, rectas NH, HA sectionem EZ comprehendere [II, 15]. et FA sectionem FAl^ in duobus punctis F, A secat; producta igitur in utramque partem cum oppositaz^J50 non concurret [II, 33], sed inter sectionem BO rectamque AH cadet. iam eodem modo etiam AB® non concurret cum FAlSi, sed inter AS et HN cadet. quoniam igitur ®n, ®P cum sectionibus A, B non concurrentes asymptotas NH, HA comprehendunt et multo magis sectionem EZ, EZ cum neutra oppositarum concurret. Aliter prop. LI. Dico, sectionem E cum neutra sectionum A, B concurrere. In fig. S;, O om. W. ^fi] AH p. 18. ASSi] AIb: p. 19. @n] @B p. 20. 3rfptf;ôv(7t] p^ nEQL£%ai6iv W. 21. TCoXXm] p, noXXo W. 23. Ante vcc' eras. a W.
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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. 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. 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. LXXIII 18 TtXdTog —
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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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1. j4f B xal (iLccg rcov] dubitans
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1B4 FRAGMENTA. Cfr. p. 124, 17 sq.:
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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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2. ccficporEQcc] Bv.dxsQOv Hultsch.
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II. SEEENUS. Serenus de sectione cy
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