Valerio, Luca
,
De centro gravitatis solidorvm libri tres
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ſuper reliquas ſectiones ternas in ſingulis prædictis planis
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ſecantibus. </
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>Hac ratione habebimus iam duas figuras
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compoſitas ex cylindris, vel cylindri portionibus altitudi
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ne, & multitudine æqualibus, alteram cono, vel portioni
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conicæ RDE inſcriptam, alteram hemilphærio, vel he
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miſphæroidi ABC circumſcriptam: quod ita factum eſ
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ſe intelligatur, quemadmodum in primo libro fieri poſse
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demonſtrauimus, vt figura cono RDE inſcripta ab eo
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deficiat, hemiſphærio autem, vel hemiſphæroidi ABC
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circumſcripta ipſum excedat minori ſpacio magnitudine
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propoſita quantacumque illa ſit. </
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>Reliquo itaque cylin
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dri, vel portionis cylindricæ AE dempto hemiſphærio, vel
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hemiſphæroide ABC figura quædam inſcripta relinque
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tur ex cylindris, vel portionis cylindricæ reſiduis æqualium
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altitudinum, demptis ijs, ex quibus conſtat figura hemi
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ſphærio, vel hemiſphæroidi ABC circumſcripta, excepto
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infimo cylindro, vel portione cylindrica AS. </
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<
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niam (excepto exceſsu, quo ſolidum AS excedit ſui par
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tem portionem quandam hemiſphærij, vel hemiſphæroidis
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ABC) quo ſpacio figura hemiſphærio, vel hemiſphæroidi
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ABC circumſcripta ſuperat ipſum hemiſphærium, vel he
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hemiſphæroides, eodem figura prædicto reſiduo inſcripta de
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duo; deficiet ab eodem minori differentia quàm </
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