Valerio, Luca, De centro gravitatis solidorvm libri tres
page |< < of 283 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="043/01/177.jpg" pagenum="90"/>
              dum ex BF & quadrato R, ita erat conus SBV ad fru­
                <lb/>
              ſtum TI
                <foreign lang="grc">γ</foreign>
              X: ex æquali igitur, erit vt cubus ex FD vna
                <lb/>
              cum ſolido ex BF, FD, & tripla ipſius BD, ad ſolidum
                <lb/>
              ex BF, & quadrato R, hoc eſt vt H
                <emph type="italics"/>
              K
                <emph.end type="italics"/>
              ad KG, ita ex
                <lb/>
              contraria parte fruſtum SYZV, ad fruſtum TI
                <foreign lang="grc">γ</foreign>
              X: nam
                <lb/>
              fruſti SYZV eſt centrum grauitatis G: fruſti autem TI
                <lb/>
                <figure id="id.043.01.177.1.jpg" xlink:href="043/01/177/1.jpg" number="132"/>
                <lb/>
                <foreign lang="grc">γ</foreign>
              X centrum grauitatis H; totius igitur compoſiti ex his
                <lb/>
              duobus fruſtis centrum grauitatis erit K: commune autem
                <lb/>
              eſt centrum grauitatis compoſiti ex duobus fruſtis SYZV
                <lb/>
              & TI
                <foreign lang="grc">γ</foreign>
              X, fruſto ALMC per antepenultimæ huius co­
                <lb/>
              rollarium; fruſti igitur ALMC, centrum grauitatis erit K.
                <lb/>
              </s>
              <s>Quod demonſtrandum erat. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>