Valerio, Luca - De centro gravitatis solidorvm libri tres

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1lis æqualibus, & ſimilibus BGC, DGE, & pyramis
BCGH, pyramidi GDEK congruet, & puncto K, pun
ctum H: & eadem ratione
pyramis ABCG, pyra
midi DEFG. congruente
igitur pyramide ABCG,
pyramidi DEFG, & pun
ctum K, congruet puncto
H. ſed H, eſt centrum gra
uitatis pyramidis ABCG:
igitur K, erit centrum gra
uitatis pyramidis DEFG:
ſed eſt GK, æqualis ip
ſi GH; vtriufque igitur
pyramidis ABCG, DE
FG, ſimul centrum grauitatis erit K; Quod demonſtran
dum erat.

36[Figure 36]

PROPOSITIO XXV.

Omnis parallelepipedi centrum grauitatis eſt in
medio axis.

Sit parallelepipedum ABCDEFGH, cuius axis
LM, isque ſectus bifariam in puncto K. Dico K eſse
centrum grauitatis parallelepipedi ABCDEFGH.
iungantur enim diametri AG, BH, CE, DF, quæ
omnes neceſsario tranſibunt per punctum K, & in eo
puncto bifariam diuidentur. Iunctis igitur BD, FH:
quoniam triangulum EFK, ſimile eſt, & æquale trian
gulo CDK, propter latera circa æquales angulos ad

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