Valerio, Luca
,
De centro gravitatis solidorum
,
1604
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ad PC, quàm DQ ad QC: & componendo, maior DC
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ad CP, quàm DC ad CQ: minor igitur CP erit quàm
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CQ: quare DP maior quàm
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& communi addita
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ED, erit EP maior quàm
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Et quoniam
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K
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eſt cen
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trum grauitatis omnium GHI ſimul, & ipſius GH eſt cen
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trum grauitatis P, & reliquæ magnitudinis I, centrum
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grauitatis E; erit vt GH ad I, ita EK ad KP. eadem
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ratione vt vtraque LM ad N, ita erit ER ad
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Rur
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ſus, quia maior eſt proportio G ad H, quàm L ad M, erit
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componendo, maior proportio GH ad H, quàm LM ad
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M: ſed maior eſt proportio H ad K, quàm M ad N; ex
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æquali igitur, maior erit proportio GH ad I, quàm LM
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ad N, hoc eſt EK ad KP, quàm ER ad
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Multo
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ergo maior proportio EK ad KP, quàm ER ad RP: &
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componendo maior proportio EP ad PK quàm EP ad
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PR; minor igitur PK erit quàm PR, at que ideo centrum
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K propinquius termino A quàm centrum R. </
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monſtrandum erat. </
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PROPOSITIO XXVIII.
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>Si ſint quotcumque magnitudines, & aliæ ipſis
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multitudine æquales, quarum omnium centra
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grauitatis ſint in eadem recta linea, & centra pri
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marum ad centra ſecundarum diſpoſita ſint alter
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natim: ſit autem maior proportio primæ ad ſecun-</
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