Valerio, Luca, De centro gravitatis solidorum, 1604

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              <s>
                <pb xlink:href="043/01/249.jpg" pagenum="70"/>
              & ſecta BD bifariam in puncto H: deinde ſecundum G
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              in ipſa BH, centrum grauitatis reliqui dempta portione ex
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              ſolido KL, ſit portionis ABC in ipſa DH centrum gra
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              uitatis F, per vim XXXVII ſecundi. </s>
              <s>Dico eſſe HG ad GF,
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              vt ſolidum rectangulum ex BD, DR, DE vnà cum binis
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              tertiis duorum
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              ex BE, ED, ad ſoli­
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              dum rectangulum ex
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              BD, BE, ER. </s>
              <s>Simi
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              liter enim vt ſupra de­
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              monſtrato eſſe vt HG
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              ad GF, ita portionem
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              ABC ad
                <expan abbr="ſolidũ">ſolidum</expan>
              KL;
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              quoniamportio ABC
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              ad ſolidum KL eſt vt
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              ſolidum ex BD, DR,
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              DE, vnà cum binis ter
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              tiis duorum
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              ex
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              BE, & ED, ad ſoli­
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                <figure id="id.043.01.249.1.jpg" xlink:href="043/01/249/1.jpg" number="182"/>
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              dum ex BD, BE, ER; erit vt modo dicta antecedens
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              magnitudo ad dictam conſequentem, ita HG, ad GF.
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              </s>
              <s>Quod demonſtrandum erat. </s>
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            <p type="head">
              <s>
                <emph type="italics"/>
              PROPOSITIO XXXVI.
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              </s>
            </p>
            <p type="main">
              <s>Omnis portionis ſphæræ, vel ſphæroidis ab­
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              ſciſſæ duobus planis parallelis centrum interci­
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              pientibus, & ab eo non æqualiter diſtantibus, cen
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              trum grauitatis eſt in axe, primum bifariam ſecto:
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              deinde ſecundum
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              grauitatis reliqui dem­
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              pta portione ex cylindro, vel portione cylindrica,
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              abſciſſo, vel abſciſſa vnà cum portione, à cylin-</s>
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          </chap>
        </body>
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