Apollonii Pergaei quae graece exstant cum ... - Wilbourhall.org
Apollonii Pergaei quae graece exstant cum ... - Wilbourhall.org Apollonii Pergaei quae graece exstant cum ... - Wilbourhall.org
92 KP-NlKSiN
CONICORUM LIBER IV. 93 quoniam igitur BF^ m duobus punctis secat partem conuexam habens aduersam, EZ cum AB non concurret [prop. XLI]. liTrsus quoniam BF^ sectionem ^B in B contingit partem conuexam habens aduersam, EZ cum rk/ non concurret [prop. LIV]. EZ igitur cum neutra sectionum AB, VJ concurret; solis F, /1 concurrunt. ergo in duobus^) iam uero BV sectionem Fz/ in uno puncto F secet, ut in secunda figura. itaque EZ cum Fzl non concurret [prop. LIY], cum AB autem in uno solo concurret. nam si EZ cum AB in duobus concurrit, BF cum rj non concurret [prop. XLI]; supposuimus autem, eam in uno concurrere. I E Z ^^ sin BT cum sectione z/ non concurrit, ut in tertia figura, propter ea, quae antea diximus, EZ cum A non concurret [prop. LIV], cum AB autem non concurret EZ in pluribus punctis quam in duobus [prop. XXXVII]. sin sectiones concaua ad easdem partes posita babent, eaedem demonstrationes conuenient [u. propp. XLVIII, XLIX, L]. 1) Neque enim BFJ cum FJ in tribus punctis concurrit (prop. XXXVII).
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