Viviani, Vincenzo
,
De maximis et minimis, geometrica divinatio : in qvintvm Conicorvm Apollonii Pergaei
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bita tamen ratione proportionis inter minorem axim, & </
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proportio, quò minor fuerit, eò magis E, terminus ſemi - recti lateris,
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remouebitur à centro H, vt vel modicè introſpicienti ſatit conſtat.</
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tactu extra ſectionem perpendicularis erigatur, in qua ſumptum
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ſit quodlibet punctum. </
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ctum, & </
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">contactum, erit MINIMA ducibilium ab eodem pun-
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cto, ad conuexam coni-ſectionis peripheriam.</
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<
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">ESto coni-ſectio A B C, quam contingat recta D E in B, à quo ipſi
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erecta ſit perpendicularis B F ad partes conuexæ peripheriæ ABC,
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ſitque in ea aſſumptum quodlibet punctum F. </
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_NIMAM_ rectarum ducibilium ab F ad conuexam peripheriam A B C.</
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F B ſit perpendicularis rectæ D E, erit
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quoque _MINIMA_ ducibilium ad
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mentis.</
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D E, quare F B eò magis erit _MINIMA_
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ducibilium ad conuexam A B C, quę ca-
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dit infra D E. </
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<
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loco oſtenditur, de quacunque etiam
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curua linea verificari ex ipſa figura ſatis
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patet, dummodo curua A B C ſit tota ad
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alteram partem contingentis D E, per-
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pendicularis verò B F ad aliam.</
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<
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">Si quamcunq, coni-ſectionem recta linea, pręter ad axis ver-
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ticem contingat, cui à tactu intra ſectionem erigatur perpendi-
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cularis, in qua ſumptum ſit punctum quodlibet, non tamen, quò
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ad Ellipſim, vltra maiorem axim; </
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ptum punctum, & </
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dem puncto, ad coni- ſectionis peripheriam.</
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<
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<
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rit, vel in ipſo minori axe, vel vltra: </
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contactum intercepta erit MAXIMA ducibilium ex ipſomet pun-
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cto ad Ellipſis peripheriam.</
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vt in ſecunda, circa maiorem axim B D, quas in puncto A </
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