Valerio, Luca
,
De centro gravitatis solidorvm libri tres
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uitatis duarum DB: & R duarum AB: & AD ſunt æ
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quales; erit RH maior quàm SH: ſed quia LQ erat ma
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ior quàm LS, eſt & SH maior quàm QH; multo igitur
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maior RH erit quàm QH: atque ideo punctum R pro
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pinquius termino T, quàm punctum
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Rurſus quo
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niam tota magnitudo AB eſt æqualis toti DE, & C æ
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qualis F; erunt duæ primæ AB, & C, & totidem ſecun
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dæ DE, & F, quarum vnius poſteriorum DE cen
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trum grauitatis Q cadit inter R, K centra grauitatis
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duarum priorum AB, & C, & reliquæ priorum C cen
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trum grauitatis K cadit inter Q, N, duarum poſterio
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rum DE, & F centra grauitatis; erunt vt antea quatuor
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magnitudines binæ proximæ æquales, ſcilicet AB, ipſi
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DE: & C ipſi F, centra grauitatis habentes diſpofita
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alternatim in eadem recta TV. </
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>Cum igitur primæ prio
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rum AB, centrum grauitatis R ſit termino T propin
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quius quàm Q centrum grauitatis primæ poſteriorum,
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quæ eſt tota DE; ſimiliter vt ante totius magnitudinis
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ABC centrum grauitatis P erit termino T propinquius
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quàm totius DEF centrum grauitatis O. </
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<
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>Non aliter
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oſtenderemus, quotcumque plures magnitudines, quales
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& quemadmodum diximus ad rectam TV, diſpoſitæ
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proponerentur, ſemper centrum grauitatis omnium prio
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rum ſimul termino T propinquius cadere, quàm omnium
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poſteriorum ſimul centrum grauitatis. </
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<
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igitur propoſitum. </
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