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.

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