Valerio, Luca
,
De centro gravitatis solidorvm libri tres
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ſit ad ſui ſegmentum, quod inter poſtremam ſectio
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nem, & quartæ partis eius, quæ ſphæræ, vel hemi
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ſphærij, & minoris baſis portionis centra iungit
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ad minorem baſim abſciſsæ terminum interijci
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tur, vt cubus eius, quæ minoris baſis, & ſphæræ,
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vel ſphæroidis, ad
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abbr
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cubũ
">cubum</
expan
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eius, qu<17> ſphæræ, vel ſphæ
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roidis, & maioris baſis portionis centra iungit. </
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<
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>Ijſdem poſitis ſolidis, vtque in antecedenti ponebantur
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ABC, AF; per duo quælibet puncta RQ axis BD ſe
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centur poſita ſolida duobus planis baſi, quæ circa AC, cir
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culo ſcilicet, vel ellipſi parallelis: quibus planis intercepta
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hemiſphærij, vel hemiſphæroidis portio ſit MOPN, vnà
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cum cylindro, vel portione cylindrica GL parte ipſius AF,
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quorũ
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ſolidorum
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cõmu
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nis axis vnà abſciſſus
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ab axe BD ſolidi AB
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C, ſit RQ: & ſumptis
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quartis partibus RI ip
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ſius DR, & QZ ipſius
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DQ, fiat vt cubus ex
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DQ ad cubum ex D
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R, ita IY ad YZ.
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<
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>Dico reliqui ex cylin
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dro, vel portione cylindrica GL dempta portione MOP
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N, centrum grauitatis eſſe Y. </
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<
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>Facta enim conſtructione
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coni, vel portionis conicæ EDF, vt in ſuperioribus, erunt
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ſimilium conorum, vel coni portionum SDT, VDX, ea
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dem ordine axes DQ, DR: propter igitur factas diuiſio
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nes, erunt
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expan
abbr
="
cẽtra
">centra</
expan
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grauitatis Z ſolidi SDT & I ſolidi VDX,
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& demonſtratio ſimilis antecedenti. </
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<
s
>dicti igitur reſidui
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GMOPMH centrum grauitatis Y. </
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<
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ſitum. </
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