Valerio, Luca
,
De centro gravitatis solidorum
,
1604
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043/01/087.jpg
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pagenum
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79
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PROPOSITIO XLI.
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<
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>Omnis cylindri centrum grauitatis axim bifa
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riam diuidit. </
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<
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>Sit cylindrus ABCD, cuius axis EF, & ſit ſectus bi
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fariam in puncto G. </
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>
<
s
>Dico punctum G, eſse centrum
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grauitatis cylindri ABCD. </
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<
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>Nam ſi cylindro AD, in
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ſcriptum intelligatur priſma,
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cuius baſes oppoſitæ æquilate
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ræ ſint, & æquiangulæ; erunt,
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qua ratione ſupra diximus, ea
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rum centra figuræ, & grauitatis
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E, F; axis igitur inſcripti priſ
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matis erit EF: & centrum gra
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uitatis G. poteſt autem tale
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priſma ſic inſcribi cylindro
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ABCD, vt ab illo deficiat
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minori ſpacio quantacumque
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magnitudine propoſita; cylin
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dri igitur ABCD, centrum
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grauitatis erit G. </
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<
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>Quod demonſtrandum erat. </
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id
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xlink:href
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number
="
57
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<
p
type
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head
">
<
s
>
<
emph
type
="
italics
"/>
PROPOSITIO XLII.
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type
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italics
"/>
</
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</
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type
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<
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>Sphæræ, & ſphæroidis idem eſt centrum gra
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uitatis, & figuræ. </
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>
</
p
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<
p
type
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main
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<
s
>Sit ſphæra, vel ſphæroides ABCD, cuius centrum E, </
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>
</
p
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