Valerio, Luca
,
De centro gravitatis solidorum
,
1604
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lis æqualibus, & ſimilibus BGC, DGE, & pyramis
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BCGH, pyramidi GDEK congruet, & puncto K, pun
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ctum H: & eadem ratione
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pyramis ABCG, pyra
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midi DEFG. congruente
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igitur pyramide ABCG,
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pyramidi DEFG, & pun
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ctum K, congruet puncto
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H. ſed H, eſt centrum gra
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uitatis pyramidis ABCG:
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igitur K, erit centrum gra
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uitatis pyramidis DEFG:
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ſed eſt GK, æqualis ip
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ſi GH; vtriufque igitur
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pyramidis ABCG, DE
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FG, ſimul centrum grauitatis erit K; Quod demonſtran
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dum erat. </
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PROPOSITIO XXV.
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<
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>Omnis parallelepipedi centrum grauitatis eſt in
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medio axis. </
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<
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>Sit parallelepipedum ABCDEFGH, cuius axis
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LM, isque ſectus bifariam in puncto K. </
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<
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>Dico K eſse
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centrum grauitatis parallelepipedi ABCDEFGH.
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iungantur enim diametri AG, BH, CE, DF, quæ
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omnes neceſsario tranſibunt per punctum K, & in eo
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puncto bifariam diuidentur. </
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<
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>Iunctis igitur BD, FH:
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quoniam triangulum EFK, ſimile eſt, & æquale trian
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gulo CDK, propter latera circa æquales angulos ad </
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