Apollonii Pergaei quae graece exstant cum ... - Wilbourhall.org
Apollonii Pergaei quae graece exstant cum ... - Wilbourhall.org Apollonii Pergaei quae graece exstant cum ... - Wilbourhall.org
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CONICOEUM LIBER IV. 31 ^ que AJ^^Bj rz/>^@, (\m2i, BN=AM. sit AA:AB==AK: KB, FA :A® = TH: H0. autem dico, rectam per K^ H ductam cum sectione concurrere, rectasque a z/ ad puncta concursus ductas sectionem contingere. quoniam enim A intra angulum ab asymptotis comprehensum positum est, fieri potest, ut a ^ duae rectae contingentes ducantur [II, 49]. ducantur AE, z/Z, et ducatur EZ\ ea igitur per puncta K^ H ueniei^) nam si per unum solum eorum ueniet, altera rectarum in alio puncto secundum eandem rationem secabitur [III, 37];^) quod fieri non potest. sin per neutrum ueniet, in utraque absurdum eueniet. XIX. lam punctum A in angulo sumatur, qui angulo ab asymptotis comprebenso deinceps est positus, rectaeque sectiones seoantes producantur et, ut dictum est, diuidantur. dico, rectam per iJT, H productam cum utraque 1) Quae sequuntur lin. 10—11, et inutilia sunt et propter ydq lin. 11 non ferenda. 2) Cf. supra p. 27 not.
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