Valerio, Luca
,
De centro gravitatis solidorum
,
1604
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PROPOSITIO XVII.
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>Omnis portio ſphæræ, vel ſphæroidis abſciſſa
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duobus planis parallelis, alteroper centrum du
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cto, ad cy lindrum, vel cylindri portionem, cuius
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baſis eſt eadem, quæ maior baſis portionis, &
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altitudo; eam habet proportionem, quam rectan
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gulum contentum ijs, quæ à centro minoris baſis
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fiunt axis ſphæræ, vel ſphæroidis ſegmentis, vnà
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cum duabus tertiis quadrati axis portionis; ad
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ſphæræ, vel ſphæroidis dimidij axis quadratum. </
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>Sit portio NACO ſphæræ, vel ſphærodij, cuius cen
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trum D, axis autem axi portionis congruens BEDR,
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abſciſsa duobus planis parallelis altero per centrum D, ſe
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ctionem faciente circulum
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maximum, vel ellipſim,
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cuius diameter NO, & ſu
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per dictam ſectionem, cir
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ca axem ED, ſtet cylin
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drus, vel portio cylindrica
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NM, abſciſsa ijſdem pla
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nis, quibus portio NAC
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O, à cylindro, vel portio
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ne cylindrica NG, ſit cir
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cumſcripta hemiſphærio,
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vel hemiſphæroidi NBO:
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qua ratione erit cylindri,
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vel portionis cylindricæ NM baſis eadem, quæ maior
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baſis portionis NACO, circulus ſcilicet, vel ellipſis cir
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ca NO, & eadem altitudo portioni. </
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<
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