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278 COMMENTARIA ANTIQUA. ivaXXd^, a)g rj EJ JtQog ^Z, tovt£6tLv rj AB JiQog Br, rj AA TCQog zlM, oôlcog ds, xav 6 yQatpo^svog nsQl trjv ZE KvxXog ts^voi tfjv AB, t6 avto d£L%^ri6stai. 5 Eig to vs'. Kal inl trjg AA ysyQacpd^cj rj^LXVxXtov tb AZA, xal rjxdîo tig sig tb rj^LKVKXcov TCaQaX- Xrjlog trj A® r] ZH TtoiovCa tbv tov aTtb ZH TtQog tb VTtb AHA Xoyov tbv avtbv ta trjg FA 10 TtQbg trjv diitkaGCav trjg AA] s0tG) rj^tKVxhov tb ASr STtl dca^stQOv trjg AF, b ds dod^slg koyog b trjg EZ Ttgbg ZH, Tcal dsov sCtco JtotrJGai, ta TtQOxsL^sva. KSL0d-(x} trj EZ l'6r] rj Z®, xal tst^7]6d^c) r} @H dixa xata tb K, xal 7]xd-G) iv tc5 rj^LXVxlLC) tv%ov6a 15 svd^sta rj FB iv ymvia trj vitb AFB, xal ditb tov A xsvtQOv r\%^G) iit avtrjv xd&stog rj A2J xal ix^krj- %-SL6a 6v^âlXsto tfj TtsQLcpSQsCa xata tb N, xal did Toi) N tfi FB TtaQalXrjXog rjxd^c) rj NM' icpd^staL ccQa tov xvxlov. xal TtsitOLrjaâ, Sg rj Z0 TtQog @K, 20 f} MlSl TtQog SN, xal xsi0%o tfi SN t^ri rj NO, xal iTts^svxd^cDâv at AS, AO ts^vovât t6 rjfiLXvxhov xatd td 77, P, xal iTts^svx^ci) rj UPA. insl ovv l'0rj i6tlv rj SN trj NO, xoLvrj ds xal TtQog OQd^dg rj NA, l^rj aQa xal rj AO trj AS. s6xl 25 ds xal rj AH tfj AP' xal XoLTtrj aQa rj HO tfj PS 1. z/Z, rovxBaxiv] scripsi, z/ZT ovte satCv Wp. 2. Ad] Ad Wp, corr. CoEQm. 4. xkyjvoi\ Wp. 5. vf'] in ras. plur. litt. W. 9. rw] in ras. m. 1 W. 15. ATB] e corr. p. 16. AZ] Bcripsi, AE Wp. 22. P, II Comm. 23. NO] N@ Wp, corr. Comm. 24. NA] MA Wp, corr. Comm. iaxiv W. 25. xfi (pr.)] i'ari xy Halley.
EUTOCn COMMENTARIA IN CONICA. 279 et similiter etiam, si circulus circum Z^descriptus rectam AB secat, idem demonstrabitur. Ad prop. LV. Et in ^z/ semicirculus describatur AZ/l^ ad semicirculum autem recta ducatur ZH rectae A® parallela, quae faciat Zfi2 '.AHxHA = rA\ 2AA I p. 172, 8—12] sit ABF semicirculus in diametro Ar, data autem jratio EZiZH, et oporteat efficere, quod propositum est. ponatur Z@ = EZj et @H in K in duas partes aequales secetur, ducaturque in semicirculo recta aliqua FB in angulo AFB, et ab A centro ad eam perpendicularis ducatur A2J productaque cum ambitu in N concurrat, et per N rectae FB parallela ducatur NM] ea igitur circulum continget [Eucl. III, 16 coroll.]. et fiat MS :SN=Z® : eK, ponaturque N0 = giV, et ducantur AS, Ô semicirculum in H, P secantes, ducaturqne HPA. quoniam igitur SN == NO, communis autem et perpendicularis NA, erit etiam AO = AS [Eucl.1,4]. uerum etiam An=AP., quare etiam reliqua nO=PS. Iq fig. pro Z hab. E W, pro 71 hab. H (hoc corr. 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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PROLEGOMENA. XLV 12 rijff] T5g AB 1
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PROLEGOMENA. XLVII Sia tov O 21 nrZ
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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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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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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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IV. EUTOCII COMMENTAKIA IN CONICA.
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