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. 334 COMIÎENTARIA ANTIQUA. 1'67} iaxl xal f} ^sv Ê tfj EB, ^ dsJExfi ^^- Saxe xal 7] B2J xij T^, xal l'6ov iatl x6 BTIZl xqCyavov rw ATZ, XQiyoovfp' l'6r} aga xal rj BU xrj AX, oÔLcog drj dsixQ^Yiaetai, xalr} m ty AZ l
EUTOCII COMMENTAKIA IN CONICA. 335 tiones contingunt. et quoniam E centrum est, erit BE = Ê, AE=Er [I, 30]; et liac de causa et quia ATZj rZII parallelae sunt, erit AE = EB^ TE = EZ, AE= TB^y, quare etiam B2J = T^ et ABnU = zfTZ [Eucl.YI, 19]. quare etiam Bn= z/Z [Eucl. VI, 4].- iam similiter demonstrabimus, esse etiam m = AZ. est autem [III, 19] Bn^ : nr^ = hax ai: ma X Ais:. ergo etiam AZ^ :ZA^ = HAxAI: MA X AS. Aliud ad eandem propositionem. Rursus utraque HSK^ I®A parallela ducatur sectionem AF secans. demonstrandum, sic quoque esse AZ^ : ZA^ = H@X®K : I® X @A. ducatur enim per A punctum contactus diametrus AFy et rectae AZ parallela ducatur FM] FM igitur sectionem FA in F continget [Eutocius ad I, 44]. et erit [III, 17] AM^ : ME^ est autem A M^ : MF^ = AZ^ : = I®X®A:H®X ®K ZA^^). ergo ^Z':ZA^ = I®X®A:H®X®K 1) Nam AE:Er = TE: E^ (Eucl. VI, 4); itaque TE = EZ. et quia BE = EJ, erit BT = Zd. tum communis adiiciatur TZ. 2) Cfr. Eutocius ad III, 18 p. 332, 5 sq. t6 vno. MAlE} Halley cum Comm. 10. rofi-^v] om. p. 11. AZ] scripsi, JZ Wp. Zz/] scripsi, ZAO Wp, ZA Comm. ovtm p. 12. H@K et I@A permut. Comm. I@A] I e corr. W. 13. AF'] AH Wp, corr. Comm. 14. AZ] AZ 71 TM Wp, corr. Halley cum Comm. 18. MF — 19. nQog x6] om. p. 22. ZA] p, A incert. W. ws — 23. ZA] om. Wj), corr. Halley cum Comm. {ZA ovxoiq). 23. vno] uel ccno p.
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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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p. 74, 15 AHT] ABF PROLEGOMENA. LII
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FRAGMENTA.
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I COMMENTARIA ANTIQUA.
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