Valerio, Luca
,
De centro gravitatis solidorum
,
1604
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043/01/201.jpg
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22
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erit vt rectangulum LNO bis, vnà cum quadrato NO,
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ad quadratum LM, ita reliquum cylindri, vel portionis
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cylindricæ GF
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dẽ-pto
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pto</
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HP, ad cylin
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drum, vel
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portionẽ
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cylindricam KQ:
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ſed rectangulum L
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NO bis vnà
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cũ
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qua
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drato NO æquale
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eſt quadrato LM;
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reliquum igitur cy
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lindri, vel portionis
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cylindricæ GF,
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dẽ-pto
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pto</
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HP, æquale erit cylindro, vel portioni cylindricæ
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Kq.
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Quod erat demonſtrandum. </
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PROPOSITIO XIII.
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<
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>Cylindri, vel portionis cylindricæ hemiſphæ
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rio, vel hemiſphæroidi circumſcriptæ reliquum
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dempto hemiſphærio, vel hemiſphæroide, æqua
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le eſt cono, vel portioni conicæ eandem baſim he
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miſphærio, vel hemiſphæroidi, & eandem altitu
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dinem habenti. </
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<
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>Eſto hemiſphærio, vel hemiſphæroidi ABC, cu
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ius axis BD, baſis circulus, vel ellipſis circa diametrum
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ADC, circumſcriptus cylindrus, vel cylindrica portio
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AE, circa communem ſcilicet axim BD. conus autem,
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vel coni portio circa axim BD, baſim habens commu
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nem ſolido ABC, intelligatur. </
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<
s
>Dico reliquum ſolidi
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AE, dempto hemiſphærio, vel hemiſphæroide ABC æ-</
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