Valerio, Luca
,
De centro gravitatis solidorvm libri tres
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Dico ſphæræ, vel ſphæroidis ABCD, centrum grauitatis
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eſse E. </
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<
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>Sint enim bini axes ſphæræ, vel ſphæroidis inter
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ſe ad rectos angulos; & in ſphæroide ſit maior diameter
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BD, minor AC, per binos autem hos axes plana tran
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ſeuntia ad eos axes erecta, ſecent ſphæram, vel ſphæroidem.
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>Qua ratione axes dimidij erunt axes hemiſphærij, vel he
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miſphæroidis: hemiſphærium autem, & ſphæroidis eſt fi
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gura circa axim in alteram partem deficiens, qualium om
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nium figurarum centrum grauitatis eſt in axe; igitur hemi
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ſphærij, vel hemiſphæroidis ABCD, centrum grauitatis
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eſt in axi BE, ſicut & reliqui ADA, in axi ED; totius
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igitur ſphæræ, vel ſphæroidis ABCD centrum grauitatis
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eſt in axi BD. </
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<
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>Eadem ratione & in axi AC; in communi
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igitur ſectione centro E. </
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<
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>Quod demonſtrandum erat. </
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