Valerio, Luca
,
De centro gravitatis solidorum
,
1604
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quat, centrum grauitatis vtriuſque abſciſsi priſ
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matis tamquam vnius magnitudinis rectam line
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lam, quæ prædicti priſmatis parallelorum paral
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lelogrammorum centra iungit, ita diuidit, vt
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pars, quæ minus parallelogrammum attingit ſit
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dupla reliquæ. </
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<
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>Sit priſma ABCDEFGH, cuius baſes oppoſitæ tra
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pezia ADHE, BCGF. </
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<
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>Sint autem AD, EH, paral
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lelæ, quarum maior EH. </
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<
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>Oppoſita igitur parallelogram
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ma AC, EG, inter ſe erunt parallela, quorum maius EG.
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</
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<
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>At per rectas AB, CD, ſectum ſit priſma. </
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<
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>ABCDEF
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GH, ita vt abſciſſa priſmata ABSFER, CDVHGT,
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relinquant parallelepipedum AT, ipſum autem AT, re
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linquat duo parallelogramma æqualia ES, TH. </
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<
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>Poſito
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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 ipſius ML.
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</
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<
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>Dico
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priſ
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matum BER,
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CVH, ſimul cen
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trum grauitatis
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eſse M. </
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<
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>Sectis enim AB, CD, bifariam in punctis P, Q,
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ſumptiſque parallelogrammorum ES, VG, centris N, O,
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iungantur PN, QO, & poſita PX dupla ipſius XN, & QZ
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dupla ipſius ZO, iungantur rectæ PKQ, XZ, NO.
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</
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<
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>Quoniam igitur in quadrilatero PQON, recta XZ, pa
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rallela eſt vtrilibet ipſarum PQ, NO, ſecat ijs parallelis
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interceptas in eaſdem rationes; recta igitur XT per pun-</
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