Valerio, Luca
,
De centro gravitatis solidorum
,
1604
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53
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ni, vel portionis conicæ EDF eſt centrum grauitatis K:
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reliqui igitur ex cylindro, vel portione cylindrica AF dem
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pto hemiſphærio, vel hemiſphæroide ABC centrum graui
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tatis erit idem K. </
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<
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PROPOSITIO XXVII.
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<
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>Si hemiſphærium, vel hemiſphæroides vna cum
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cylindro, vel cylindri portione ipſi circumſcripta
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ſecetur plano baſi parallelo; reliqui ex cylindro,
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vel portione cylindrica abſciſſa ad partes verti
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cis, dempta illa quæ abſciſſa eſt ſimul minori,
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& ſphæræ, vel ſphæroidis portione, centrum gra
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uitatis eſt punctum illud, in quo eius axis ſic diui
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ditur, vt quæ inter hanc poſtremam ſectionem, &
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centrum baſis vnà abſciſſæ portionis interijci
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tur, aſſumens quartam partem ſegmenti, quod di
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ctæ baſis, & ſphæræ, vel ſphæroidis centra iungit,
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ſit ad ſui ſegmentum, quod inter poſtremam ſe
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ctionem, & quartæ partis axis hemiſphærij, vel
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hemiſphæroidis ad verticem abſciſſæ terminum
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interijcitur, vt cubus axis hemiſphærij, vel hemi
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ſphæroidis, ad cubum eius, quæ baſis portionis &
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hemiſphærij, vel hemiſphæroidis centra iungit.
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<
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ca vnà abſciſſa
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reliqua hemiſphærij, vel hemi
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ſphæroidis portione, quæ eſt ad baſim, dempta hac
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portione centrum, grauitatis eſt punctum illud,
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quod quartam partem abſcindit axis portionis ad </
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