Valerio, Luca - De centro gravitatis solidorum

Valerio, Luca, De centro gravitatis solidorum, 1604

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1ML, ſed vt GF, ad FH, ita eſt CF, ad FD, hoc eſt DE, ad
EC, hoc eſt ſolidum A, ad ſolidum B; erit vt parallelepipe
dum KN, ad parallelepipedum ML, ita ſolidum A, ad ſoli
dum B. componendo igitur, & permutando, vt parallelepi
pedum KL, ad duo ſolida A, B, ſimul, ita parallelepi
pedum ML, ad ſolidum B: & reliquum ad reliquum: ſed
parallelepipedum KL, æquale eſt duobus ſolidis A, B, ſi
mul: parallelepipedum igitur KN, ſolido A, & paralle
lepipedum ML, ſolido B, æquale erit. Rurſus, quo
niam eſt vt GF, ad
ad FH, ita CF, ad
FD; hoc eſt DE,
ad EC: ſed vt GF,
ad FH, ita eſt pa
rallelepipedum KN,
ad parallelepipedum
ML; erit vt DE,
ad EC, ita paralle
lepipedum KN, ad
parallelepipedum
ML; ſed C eſt pa
rallelepipedi KN,
& D, parallelepipe
di ML, centrum
grauitatis; totius igi

40[Figure 40]
tur parallelepipedi KL, centrum grauitatis erit E. Igi
tur ſolido A, poſito ad punctum G, ſecundum centrum
grauitatis A, & ſolidum B, ad punctum D, ſecundum
centrum grauitatis B, quorum A, eſt æquale parallele
pipedo KN, & B, parallelepipedo ML; ab ijſdem lon
gitudinibus DE, EC, æquiponderabunt; eritque com
poſiti ex vtroque ſolido A, B, centrum grauitatis E. Quod
demonſtrandum erat.

Quod ſi quis à me quærat, cur non hic vtar quinta illa

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