Valerio, Luca
,
De centro gravitatis solidorum
,
1604
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verticem æqualia alterum alteri: eademque ratione, &
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triangulum E
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K
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H, triangulo BCK: & triangulum FKH,
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triangulo BDK; erit pyramis KEFH, ſimilis, & æqua
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lis pyramidi KBCD: habent autem tria latera tribus
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lateribus homologis, ideſt æ
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qualibus, in directum, prout
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inter ſe reſpondent, conſtituta;
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duarum igitur pyramidum KE
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FH, KBCD, ſimul centrum
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grauitatis erit K: non aliter
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duarum pyramidum
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K
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GFH,
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KBDA, ſimul centrum gra
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uitatis erit K; totius igitur com
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poſiti ex quatuor pyramidibus;
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ideſt duabus oppoſitis ABC
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DK, EFGHK, centrum gra
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uitatis erit idem K. </
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ratione tam duarum pyrami
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dum AEHDK, BCGFK, ſimul, quàm duarum AB
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FEK, CDHGK, ſimul centrum grauitatis erit K. </
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tius igitur parallelepipedi ABCDEFG
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K
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, centrum
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grauitatis erit K. </
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PROPOSITIO XXVI.
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<
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>Si parallelepipedum in duo parallelepipeda
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ſecetur, ſegmenta axis à centris grauitatis totius
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parallelepipedi, & partium terminata ex contra
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rio parallelepipedi partibus reſpondent. </
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