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260 COMMENTARIA ANTIQUA. iv ta Qrjtcj. ai ds i^cotSQCo h](pQ'ri to H tov E, xal 7} a% avtov tfj EZ TtccQciXXrjXog ^sta^v 7ts0rj tcjv Z, jT, ro @ GTj^stov Ttotst TttcjGsig Ttsvts' ) yccQ ^sta^v t(av ^, B TtCntsi tJ iitl to B 7] ^sta^v tcov B, Z 7} 5 STtl t6. Z 7] ^sta^v tc3v Z, JT. iav ds 7} dta tov H tfi Tcatrjy^svTj TtaQaXkrjlog iTtl tb F KSvtQOv 7tt:ttrj, tb ® itdXiv arj^stov itOLri0si aXlag itsvts TttcDCSLg G)6avtcog' xal dst iitl tovtco GrnisicaGaGât^ ott, tb vTtb tcjv TtaQakXrilcov tatg EJ^ EZ yLyvo^svov tQi- 10 ycovov i0ov yCvstai ta ABF tQiycovG)' iitsl yocQ i6tiv, G)g tb ccTtb EZ TtQbg tb aitb HF, tb E/IZ tQiycovov TtQbg tb H&F' oôta yccQ' ag ds tb ccTtb EZ TtQbg t6 ccTtb Hr^ tb vitb BZA jtQbg tb VTtb BFA, tovts6ti tb ccTtb Br, (og ccQa tb E^Z tQiycjvov JtQbg tb 15 H®r, tb vTtb BZA TtQog tb ditb BF. mg ds tb vnb BZA TtQbg tb dnb BF^ ovtcog idsixd^rj s%ov tb ABZE tstQajtXsvQOv TtQbg tb ABT tQiycovov Tcal (og ccQa tb EAZ tQiycovov JtQbg tb H0r, tb ABZE tstQaitXsv- Qov TtQbg tb ABF tQiycovov. ocal ivaXXd^, Tcal dlkag 8\ 20 tavtag dvvatbv dstâi Ksyovtag^ oti ijtl tcov diTtXaGicov avtcov TtaQaXlrjXoyQd^^cov tavta dsdsixtai iv tip
EUTOCII COMMENTAEIA IN CONICA. 261 z/, Z cadere, sicut apud Apollonium est. sin H extra E sumitur, et recta ab eo rectae EZ parallela ducta inter Z, F cadit, punctum ® quinque casus efficit; aut enim inter z/, B cadit aut in B aut inter By Z aut in Z aut inter Z, F, sin recta per H ordinatae parallela ducta in F centrum cadit, rursus punctum quinque alios casus efficiet eodem modo; et hic animaduertendum, triangulum a rectis jEz/, EZ rectis parallelis efiêctum aequalem fieri triangulo ABF^ nam quoniam est EZ^ : HV^ VI, 19]; nam similes sunt; et EZ^ : Hr^ = EAZ', H®r [Eucl. = BZxZA:BrxrA [prop. XXI] = BZxZA:Br^, erit E^Z : demonstrauimus autem, esse quare etiam E^Z : H@r =BZxZA: Br\ BZXZA: BF^ = ABZE : H®r ABT; = ABZE: ABT, et permutando.^) uerum hos casus^) aliter quoque demonstrare A possumus dicentes, liaec in scholio ad prop. XLI [supra p. 252] de parallelogrammis esse, demonstrata <strong>quae</strong> his triangulis duplo maiora sunt. sin recta per H rectae EZ parallela ducta inter r, A cadit, producetur, donec FE <strong>cum</strong> ea concurrat,
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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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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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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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2. ccficporEQcc] Bv.dxsQOv Hultsch.
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II. SEEENUS. Serenus de sectione cy
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IV. EUTOCII COMMENTAKIA IN CONICA.
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358 COMMENTARIA ANTIQUA. TtaQccXXrj
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