Valerio, Luca
,
De centro gravitatis solidorvm libri tres
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GH) erit eiuſdem fruſti ABCDEF, centrum grauitatis
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O. </
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>Rurſus quoniam vt tres deinceps proportionales BC,
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EF, X, ſimul ad BC, ita eſt fruſtum ABCDEF, ad py
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ramidem; ſi deſcribatur ABCH: ſed vt triangulum ABC,
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ad ſimile triangulum EDF, hoc eſt vt BC, ad X, ita eſt
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pyramis ABCH, ad pyramidem GDEF; erit ex æqua
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li, vt tres lineæ
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BC, EF, X, ſi
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mul ad X, ita fru
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ſtum ABCDEF,
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ad pyramidem
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GDEF: & con
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uertendo, vt X,
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ad compoſitam
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ex BC, EF, X,
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hoc eſt vt VO,
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ad OS, ita pyra
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mis GDEF, ad
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fruſtum ABC
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DEF; & diui
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dendo, vt pyra
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mis GDEF, ad reliquas tres pyramides fruſti, ita OV,
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ad VS; ſed S, eſt centrum grauitatis pyramidis GDEF,
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& O, trium reliquarum; fruſti igitur ABCDEF, cen
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trum grauitatis erit V. </
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PROPOSITIO XXXVI.
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<
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>Omnis fruſti pyramidis baſim pluſquam trila
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teram habentis centrum grauitatis eſt punctum
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illud, in quo axis ſic diuiditur, vt axis fruſti pyra
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midis triangulam baſim habentis diuiditur ab
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ipſius centro grauitatis. </
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