Valerio, Luca
,
De centro gravitatis solidorum
,
1604
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ab eo non æqualiter diſtantibus: & axis portionis ſit EF,
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qui per centrum G tranſibit, vtpote parallelorum circu
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lorum centra iungens: cumque eorum vtrumque ſit à cen
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tro non æqualiter diſtantium perpendicularis, erunt eius
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ſegmenta EG, GF, inæqualia. </
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<
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>Eſto EG, maius: ſectoque
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axe EF bifariam in puncto P, ſumptisque ipſarum EG,
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GF, quartis partibus EH, FK, ſecetur interiecta
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K
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H,
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in puncto Q, ita vt KQ, ad QH, ſit vt cubus ex EG,
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ad cubum ex GF, & portionis ABCD, ſit centrum gra
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uitatis R: quod quidem cum punctis P, Q, eſſe in axe
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EF: & cylindro LM, ſuper baſim æqualem circulo ma
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ximo circa axim EF, portioni circumſcripto, reliqui eius
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dempta ABCD, portione centrum grauitatis eſse Q, &
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propinquius E puncto, quàm centrum grauitatis R por
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tionis ABCD, manifeſtum eſt ex ſupra demonſtratis de
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maioris portionis ſphæræ centro grauitatis: portionis autem
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ABCD centrum grauitatis R eſse in ſegmento EG ſe
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quitur ex antecedente. </
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<
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>Dico PQ ad QR eſse vt ad axim
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EF exceſsus, quo axis EF ſuperat tertiam partem com
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poſitæ
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duabus minoribus extremis altera reſpondente
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maiori extrema EG in proportione continua ipſius NG </
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