Valerio, Luca
,
De centro gravitatis solidorum
,
1604
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ter quartas partes extremas eiuſdem axis ſeg
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mentorum, quæ à centro ſphæræ, vel ſphæroi
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dis fiunt interiectum ſic diuiditur, vt pars ma
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iori baſi propinquior ſit ad reliquam, vt prædi
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ctorum axis ſegmentorum cubus maioris ad cu
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bum minoris. </
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>Ijſdem poſitis, & conſtructis, quæ in antecedenti, rur
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ſus per quodlibet axis BE punctum X, ductum planum
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baſibus ſolidi FH parallelum, ſecansque vnà cylindrum,
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vel portionem cylindricam FH, & ſphæram, vel ſphæroi
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des ABCD: eſto duobus planis per TV, ZY, inter ſe pa
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rallelis, & centrum E intercipientibus abciſſa ſphæræ, vel
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ſphæroidis portio L
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M vnà cum cylindro, vel portione
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cylindrica TY: & ſumatur ipſius EX pars quarta XQ,
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qualis eſt & PS ipſius E
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S: & vt eſt cubus ex EX
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ad cubum ex ES, ita fiat
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PR ad
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Dico reli
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qui ex cylindro, vel por
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tione cylindrica TY dem
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pta ſphæræ, vel ſphæroi
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dis portione L
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M, cen
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trum grauitatis eſſe R. </
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enim conus, vel coni por
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tio
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E
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abſciſſa prædi
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cto plano per ZY, & com
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munibus axibus ES, EX,
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ſimili igitur demonſtratio
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ne antecedentis manifeſtum eſt quod proponebatur. </
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