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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