Valerio, Luca
,
De centro gravitatis solidorvm libri tres
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Quoniam igitur quo exceſsu hemiſphærium ABC ſu
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perat ex cylindris figuram ſibi inſcriptam, eodem figura
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circumſcripta reliquo cylindri AF, dempto ABC he
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miſphærio, ſuperat ipſum reſiduum; figura autem inſcripta
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hemiſphærio ABC poteſt eſſe eiuſmodi, quæ ab hemi
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ſphærio deficiat minori defectu quantacumque magnitu
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dine propoſita; poterit figura, quæ prædicto reſiduo cir
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cumſcripta eſt eſſe talis, quæ ipſum reſiduum ſuperet mi
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no i exceſsu quantacumque magnitudine propoſita.
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>Ru ſus, quia quemadmodum cylindrus AN infimus de
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ficiens cylindro SR, æqualis eſt cylindro TP, ex ſupe
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rioribus, ita vnuſquiſque aliorum cylindrorum deficien
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tium cylindris, qui ſunt in hemiſphærio, ex quibus cylin
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dris deficientibus conſtat dicto reſiduo figura circumſcri
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pta, æqualis eſt cylindrorum circa conum EDF, ei, qui
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cum ipſo eſt inter eadem plena parallela, & circa eundem
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axem; erunt omnes cylindri circa conum EDF, in ea
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dem proportione cum prædictis cylindris deficientibus,
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circa prædictum reſiduum, ſi bini ſumantur inter eadem
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plana parallela, & circa eundem axem. </
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<
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igitur omnium cylindrorum, qui circa conum EDF mi
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nor eſt proportio primi ad verticem D, ad ſecundum,
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quàm ſecundi ad tertium, & ſecundi ad tertium, quàm ter-</
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