Valerio, Luca, De centro gravitatis solidorvm libri tres

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1
COROLLARIVM.
Ex huius theorematis demonſtratione conſtat,
omnis figuræ planæ, ſiue ſolidæ, cuius termini
omnis cauitas ſit interior, atque ideo intra ter­
minum centrum grauitatis; & cuius pars aliqua
eſse poſsit, quæ à tota figura deficiens minori
defectu quacumque magnitudine propoſita habe­
at centrum grauitatis in aliqua certa linea recta
intra terminum figuræ conſtituta, eſſe in ea recta
linea totius figuræ centrum grauitatis.
Ac proin­
de, cum per vndecimam huius, omni ſolido circa
axim in alteram partem deficienti, & baſim ha­
benti circulum, vel ellypſim figura inſcribi poſſit
ex cylindris, vel cylindri portionibus, à prædicto
ſolido deficiens minori ſpacio quacumque ma­
gnitudine propoſita: talis autem figuræ inſcriptæ,
quemadmodum & circumſcriptæ centrum gra­
uitatis ſit in axe, vt ex ſequentibus patebit, &
nunc cogitanti facilè patere poteſt; manifeſtum
eſt omnis ſolidi circa axim in alteram partem de­
ficientis centrum grauitatis eſſe in axe.

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