Valerio, Luca
,
De centro gravitatis solidorvm libri tres
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aliam trium harum figurarum pertinentes. </
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<
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>Quod ſi præ
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terea factæ ſectiones hemiſphærij ABC à cylindri AF
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ſectionibus, circuli à circulis concentricis auferri intelli
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gantur; reliquæ totidem erunt ſectiones reliquæ figuræ ſo
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lidæ, dempto ABC hemiſphærio ex toto AF cylin
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dro, circuli deficientes circulis concentricis, hoc eſt prædi
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ctis ABC hemiſphærij ſectionibus prout inter ſe reſpon
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dent. </
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<
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>Nunc ſuper ſectiones hemiſphærij ABC, & co
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ni EDF cylindris conſtitutis circa axes, quæ ſunt ſeg
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menta æqualia axis BD, intelligantur duæ figuræ ex cy
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lindris æqualium altitudinum, altera inſcripta hemiſphæ
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rio ABC, altera cono EDF circumſcripta. </
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<
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>Si igitur
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à toto AF cylindro auferatur figura, quæ inſcripta eſt
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hemiſphærio ABC, relinquetur figura quædam ex cylin
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dris circa prædictos axes, vt ſunt BK, KH, HL, LD,
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deficientibus ijs cylindris, ex quibus conſtat figura inſcri
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pta hemiſphærio ABC, & vno integro ſupiemo XF
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cylindro, circumſcripta reſiduo AF cylindri dempto A
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BC hemiſphærio, circumſcriptione interna: talis autem
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figuræ circumſcriptæ centrum grauitatis, per ea, quæ in
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primo libro, erit in axe BD, quemadmodum & aliarum
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duarum figurarum ex cylindris, quarum altera inſcripta
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eſt hemiſphærio ABC, altera cono EDF circumſcripta. </
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