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240 COMMENTARIA ANTIQUA. AZ^ xo AMNB TCaQccXXrjXoyQa^ôv iCQog to AS TtaQCil- ^.rjloyQa^ôv y G)g ccQa to aito FB TCQog to F^B xqlycDVOv, ovrcog ro AMNB TCaQaXXrjôyQa^ôv TCQog t6 AZlSlB TCaQaXXrjXoyQa^ôv ivaXXd^^ cog to dico FB JCQog 5 tb AMNB TtaQaXlriXoyQa^ôv^ ovtcagtb FABtQcyGivov TCQbg tb AZBB TCaQa^XrjXoyQa^ôv. t6ov ds i^tt tb ZABS TCaQaXlrjXoyQa^ôv tS FB^ tQtycovG)' iicel yaQ tb FHK tQtycavov t(p AAH^ tstQaTcXevQG) iatlv l'6ov, xotvbv ds toHABKtstQdTcXsvQOv, tb AABK TcaQaXXrjXo- 10 yQaîiOV ta F/dB tQtycovc} i^tlv l'6ov' tb ds AABK TCaQaXXrjXoyQa^ôv tS ZABS âQalXriXoyQd^^c) i6tlv t6ov' ijcl yccQ tijg avtrjg pddscog i6tt tijg AB Kal iv ratg avtatg icaQaXkrikotg tatg AB, ZK, l'dov ccQa idtl tb r^B tQtycjvov tm SZAB 7caQaXXriXoyQd(i^
EUTOCII COMMENTARIA IN CONICA. 241 AEj FB parallelae sunt^ et FE, AB eas iungunt; et [Eucl. yi, 1] MA : FB^ ; FAB permutando FB^ : = AMNB : AZ = AMNB : AMNB = FAB : AlS!, erit AZ^SlB. AZjSlB, est autem ZABS= FBA] quoniam enim rHK = AAH^, commune autem quadrilaterum HABK, erit AABK = r^B', est autem AABK = ZABlSl [Eucl. I, 35]; nam iu eadem basi AB et in iisdem parallelis AB, ZK posita sunt; ergo FAB = SZAB. quare etiam FB^ = AMNB. uerum MABN = MAxAB] MA enim ad AB perpendicularis est; itaque MA X AB = FB^. et MA latus rectum est figurae, AB autem diametrus, et FB ordiuate ducta; nam rectae AE parallela est; ergo punctum F ad sectionem positum est [prop. XI]. ergo ^HF <strong>cum</strong> sectione in F concurrit; quod erat demonstrandum. Ad propositionem propositam scholia. Fiat igitur MA : AZ = AE^ : AE^ p. 238, 18—19] hoc in scholio propositionis XI demonstratum est [u. supra p. 216]. descripto enim quadrato AE^ et ad latus eius spatio adplicato triangulo AE/1 aequali habebo, quod <strong>quae</strong>rimus. Igxiv W. 7. ZABlSl'] e corr. p, mut. in !ElABZ m. rec. W. 8. AAHJ] Halley, AAJH Wp. 9. AABK] AAB Wp, corr. Comm. 11. TcocQaXXrjXoyQcifiiia)'] comp. p, naQaXXrjXoyQafifiov W. 12. £6tLV W. AB] -p, AJ W. 13. ZK] p, ZHW. U.iaZLvW.^ n. £GtL]8GtLvW. 18. fWv W. 20, £6tLv W. 24. to (alfc.)] to ano Wp, corr. Comm. 26. m'] e corr. p. ya^] om. p. 27. tc5] p, to W. 28. TtaQaQaâlmv W. Apollonius, ed. Heiberg. II. 16
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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. 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. LXI monstratione recep
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PROLEGOMENA. LXV Bignificare uidetn
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PROLEGOMENA. LXXI fatione ornatae c
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KiiNIKi^N 8'. IIqoxbqov êv iêd^Tj
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