Valerio, Luca - De centro gravitatis solidorvm libri tres

Valerio, Luca, De centro gravitatis solidorvm libri tres

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1dum ex BF & quadrato R, ita erat conus SBV ad fru
ſtum TIγX: ex æquali igitur, erit vt cubus ex FD vna
cum ſolido ex BF, FD, & tripla ipſius BD, ad ſolidum
ex BF, & quadrato R, hoc eſt vt HK ad KG, ita ex
contraria parte fruſtum SYZV, ad fruſtum TIγX: nam
fruſti SYZV eſt centrum grauitatis G: fruſti autem TI

132[Figure 132]
γX centrum grauitatis H; totius igitur compoſiti ex his
duobus fruſtis centrum grauitatis erit K: commune autem
eſt centrum grauitatis compoſiti ex duobus fruſtis SYZV
& TIγX, fruſto ALMC per antepenultimæ huius co
rollarium; fruſti igitur ALMC, centrum grauitatis erit K.
Quod demonſtrandum erat.

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