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Apollonii Pergaei quae graece exstant cum ... - Wilbourhall.org

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EUTOCII COMMENTARIA IN CONICA. 337<br />

Ad prop. XXIII.<br />

Haec propositio multos casus habet, sicut ceterae,<br />

quoniam autem in nonnullis codicibus pro theorematis<br />

casus perscripti inueniuntur<br />

et aliae<br />

<strong>quae</strong>dam demonstrationes<br />

, ea remouenda<br />

esse duximus;<br />

sed ut ii,<br />

qui<br />

legent, discrepantia<br />

comparata de ratione<br />

nostra iudicent,<br />

in scholiis ea<br />

exposuimus.<br />

iam rectae<br />

parallelae<br />

contingentibus<br />

HKOy 0KT<br />

per K centrum cadant. dico, sic quoque esse<br />

EA^ :<br />

AA^ = ®KxKT: HK X KO.<br />

ducantur per H^ & contingentibus parallelae &N,<br />

HM] itaque A HKM = AKS et ®NK = KHE<br />

[III, 15]. est autem AKS=EKn [111,4]; itaque<br />

etiam HKM = K0N et quoniam est<br />

et<br />

AE^ : AES = K®^ :<br />

[Eucl. VI, 22],<br />

K@N<br />

AE^= AAU, &KN = KHM, erit<br />

EA^ : AHA = 0K^ : HKM.<br />

ano ATLA Wp. ^<br />

21. nqoq x6 Halley. HKM^ K supra<br />

scr. m. 1 W. '^aziv W. AIIA] scripsi <strong>cum</strong> Comm., anQ<br />

AUA Wp.<br />

Apollonius, ed. Heiberg. II. 22

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