Valerio, Luca
,
De centro gravitatis solidorum
,
1604
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PROPOSITIO XIX.
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>Omnis maior portio ſphæræ, vel ſphæroidis,
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ad cylindrum, vel portionem cylindricam, cuius
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baſis æqualis eſt circulo maximo, vel æqualis, &
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ſimilis ellipſi per centrum baſi portionis paralle
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læ, altitudo autem eadem portioni, eam habet
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proportionem, quam ſolidum rectangulum con
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tentum axe portionis, & reliquo axis ſphæræ, vel
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ſphæroidis ſegmento, & eo, quod baſis portionis,
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& ſphæræ, vel ſphæroidis centraiungit, vnà cum
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binis tertiis partibus duorum cuborum: & eius
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qui à ſphæræ, vel ſphæroidis axis dimidio; &
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cius qui ab eo, quod ſphæræ, vel ſphæroidis, &
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baſis portionis centra iungit ſit ſegmento; ad ſo
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lidum rectangulum, quod axe portionis, & duo
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bus ſphæræ, vel ſphæroidis axis fit dimidijs. </
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>Sit maior portio AB
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C, ſphæræ, vel ſphæroi
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dis ABCF, cuius cen
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trum D: baſis
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por
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tionis, circulus, vel elli
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pſis, cuius diameter A
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C: Et ſecta portione
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ABC per centrum D
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plano baſi AC paral
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lelo, qua ratione ſectio
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erit circulus maximus,
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vel ellipſis ſimilis baſi
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