Viviani, Vincenzo
,
De maximis et minimis, geometrica divinatio : in qvintvm Conicorvm Apollonii Pergaei
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liquam portionem ſolidam, dempta _MINIMA_ nuper inuenta, eſſe
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_MAXIMAM_ quæſitam.</
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cuiuslibet Sphæroidis, ſi fuerint de eodem Conoide Parabolico
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ſum Pro-
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p. 79. h.</
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habebunt axes æquales. </
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">Si de eodem Hyperbolico, vel de Sphæ-
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ra, aut Sphæroide quocunque, erunt axes proprijs ſemi- diametris
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proportionales. </
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ſorum axium pertingent ad idem inſcriptum ſolidum ſimile, & </
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concentricum.</
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<
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">SInt duæ de eodem quocunque prædictorum ſolidorum portiones æqua-
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les, quarum recti Canones concipiantur transferri ſuper eadem ſectio-
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ne A B F per ſolidi axem ducta (hoc enim fieri poſſe manifeſtum eſt, cum
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ipſi recti Canones intra ſolidas portiones intercepti, ſint portiones eiuſdem
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ſectionis, quæ in reuolutione circa axim ſolidum genuit) & </
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E F, quarum baſes ſint A C, D F, & </
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http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/QN4GHYBF/figures/0304-01
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axes ſolidarum portionum. </
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69. h.</
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Parabolicum, axes B G, E H eſſe inter ſe æquales, & </
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Hyperbolicum, atque in tertia Sphæram, vel Sphæroides, quarum centra
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ſint O, eſſe axim H E ad ſemi-diametrum E O, vt axis G B ad ſemi-dia-
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metrum B O.</
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">Ex altero axium, videlicet ex E H, ſecetur in prima figura ſegmentum
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E I ipſi B G æquale; </
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