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228 COMMENTAKIA ANTIQUA. dvvatov 8\ avxriv GvXXoyit^BGâv 6i avtiBv rav bIqi]- [isvcov iv ta TtEvtExaidETtdtci dêcoQtjâtL, inel yaQ^
EUTOCII COMMENTARIA IN CONICA. 229 potest, ut per ea ipsa, quae in propositione quinta decima dicta sunt, computetur. nam quoniam, ut ibi demonstratum est, rectae ad z/^ rectae AB parallelae ductae quadratae aequales sunt spatiis ad tertiam earum proportionalem, hoc est ad Zz/, adplicatis, erit Ê : AB = AB : AZ-^ quare AB inter EAf JZ media est proportionalis. qua de causa etiam rectae Sid AB rectae Ê parallelae ductae quadratae aequales erunt spatiis ad tertiam rectarum AE, AB proportionalem, lioc est ad AN, adplicatis. qua de causa AE altera diametrus media est proportionalis inter BA, AN latera figurae. sciendum autem hoc quoque, quod ad figuras describendas utile est; quoniam enim diametri AB, AE inaequales sunt (nam in solo circulo sunt aequales), manifestum est, rectam ad minorem earum perpendicularem ductam ut hic AZ, quippe quae tertia sit proportionalis rectarum AE, ABj maiorem esse utraque, rectam autem ad maiorem perpendicularem ductam ut hic AN, quippe quae tertia sit proportionalis rectarum AB, AE, minorem utraque [Eucl. Y, 14]; quare etiam deinceps proportionales sunt quattuor illae rectae; nam AN: AE = AE : AB Ad prop. XVIL = AB: AZ. Euclides in propositione quinta decima^) tertii libri Elementorum demonstrauit, rectam, quae ad 1) Est Elem. III, 16. SGTLV W. (lear}'] îsv Wp, corr. Comm. 20. tav'] om. p. z/ E] z/ e corr. in scrib. W. 23. Post tQLtriv del. shai p. 2Q. AN] N e corr. 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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PROLEGOMENA. XV codicum illorum XXV
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PEOLEGOMENA. XXI Ss 24; p. 4, 13 6v
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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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p. 74, 15 AHT] ABF PROLEGOMENA. LII
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