Valerio, Luca
De centro gravitatis solidorum
1604
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quat, centrum grauitatis vtriu&longs;que ab&longs;ci&longs;si pri&longs;­
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matis tamquam vnius magnitudinis rectam line­
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lam, quæ prædicti pri&longs;matis parallelorum paral
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lelogrammorum centra iungit, ita diuidit, vt
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pars, quæ minus parallelogrammum attingit &longs;it
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dupla reliquæ.
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Sit pri&longs;ma ABCDEFGH, cuius ba&longs;es oppo&longs;itæ tra­
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pezia ADHE, BCGF.
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Sint autem AD, EH, paral­
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lelæ, quarum maior EH.
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Oppo&longs;ita igitur parallelogram­
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ma AC, EG, inter &longs;e erunt parallela, quorum maius EG.
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At per rectas AB, CD, &longs;ectum &longs;it pri&longs;ma.
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ABCDEF
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GH, ita vt ab&longs;ci&longs;&longs;a pri&longs;mata ABSFER, CDVHGT,
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relinquant parallelepipedum AT, ip&longs;um autem AT, re­
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linquat duo parallelogramma æqualia ES, TH.
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Po&longs;ito
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autem centro K
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parallelogrammi
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AC, & L, paral
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lelogrammi EG,
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iunctaque KL,
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ponatur KM, du
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pla ip&longs;ius ML.
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Dico
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duorum
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pri&longs;­
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matum BER,
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CVH, &longs;imul cen
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trum grauitatis
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<figure id="id.043.01.121.1.jpg" xlink:href="043/01/121/1.jpg"/>
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e&longs;se M.
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Sectis enim AB, CD, bifariam in punctis P, Q,
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&longs;umpti&longs;que parallelogrammorum ES, VG, centris N, O,
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iungantur PN, QO, & po&longs;ita PX dupla ip&longs;ius XN, & QZ
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dupla ip&longs;ius ZO, iungantur rectæ PKQ, XZ, NO.
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Quoniam igitur in quadrilatero PQON, recta XZ, pa­
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rallela e&longs;t vtrilibet ip&longs;arum PQ, NO, &longs;ecat ijs parallelis
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interceptas in ea&longs;dem rationes; recta igitur XT per pun-
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