Valerio, Luca
,
De centro gravitatis solidorum
,
1604
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punctum O; eſt autem O, fruſti EGHF centrum graui
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tatis. </
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<
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>Si igitur conus, & conoides parabolicum circa eun
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dem axim, &c. </
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PROPOSITIO XLV.
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<
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>Omnis fruſti conoidis hyperbolici centrum
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grauitatis eſt in axe primum ſecto ſecundum cen
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trum grauitatis cuiuſuis fruſti conici circa axem
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conoidis communi vertice, abſciſſi vnà cum fru
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ſto conoidis: deinde ita vt pars minorem baſim
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attingens ſit ad reliquam, vt dupla axis conoidis
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vna cum reliqua dempto axe fruſti, ad duplam
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eiuſdem reliquæ vna cum axe conoidis: dein
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de poſitis quatuor rectis lineis binis propor
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tionalibus, potentia primis, ſecundis longitu
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dine, in proportione, quæ eſt inter axem conoi
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dis, & reliquam dempto axe fruſti; ita vt ma
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ior primarum ſit media proportionalis inter axem
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conoidis, & tranſuerſum latus hyperboles, quæ fi
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guram deſcribit, minoris autem potentia ſeſqui
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altera minor ſecundarum; in eo puncto, in quo
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ſegmentum axis fruſti dictis duabus ſectionibus
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terminatum ſic diuiditur, vt pars minori baſi pro
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pinquior ſit ad reliquam vt cubus, qui fit ab axe
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fruſti vnà cum ſolido rectangulo, quod axe co
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noidis, & reliqua dempto axe fruſti, & tripla
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axis conoidis continetur, ad ſolidum rectangu
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lum ex eadem reliqua parte conoidis, & eo, quo </
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