Valerio, Luca - De centro gravitatis solidorum

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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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