Valerio, Luca, De centro gravitatis solidorvm libri tres

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            <p type="main">
              <s>
                <pb xlink:href="043/01/145.jpg" pagenum="58"/>
              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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              </s>
              <s>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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                <figure id="id.043.01.145.1.jpg" xlink:href="043/01/145/1.jpg" number="112"/>
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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. </s>
              <s>Quemadmodum
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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-</s>
            </p>
          </chap>
        </body>
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