Valerio, Luca
,
De centro gravitatis solidorum
,
1604
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ctum M tranſibit. </
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<
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>Sed quia PK eſt æqualis KQ, & NL
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ipſi LO, etiam XM æqualis erit ipſi MZ ob parallelas;
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cum igitur priſmatum BER, CVH centra grauitatis ſint
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X, Z; erit vtriuſque priſmatis prædicti ſimul centrum gra
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uitatis M. </
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<
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>Quod eſt propoſitum. </
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PROPOSITIO XXII.
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<
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>Si ſint duæ pyramides æquales, & æque altæ,
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baſes habentes in eodem plano, quarum vertices
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recta linea connectens cum ea, quæ baſium centra
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grauitatis iungit ſit in eodem plano; earum cen
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trum grauitatis tamquam vnius magnitudinis re
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ctam lineam, quæ inter vertices, & centra baſium
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interiectas bifariam ſecat, itadiuidit, vt pars ſu
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perior ſit inferioris tripla. </
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<
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>Sint duæ
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pyramides æ
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quales, & æ
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que altæ, qua
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rum baſes in
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eodem plano
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AC, DB, ver
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tices autem
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G, H, & ba
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ſium
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E,
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F, iunctæque
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EF, GH, quas
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bifariam ſecet recta KL, huius autem pars quarta ſit LM.
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<
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>Dico vtriuſque pyramidis GAC, HDB, ſimul centrum
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grauitatis eſſe M. </
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<
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>Iunctis enim GE, HF, ſumantur ea</
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