DelMonte, Guidubaldo, In duos Archimedis aequeponderantium libros Paraphrasis : scholijs illustrata

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    <archimedes>
      <text>
        <body>
          <chap id="N10019">
            <p id="N13FE2" type="main">
              <s id="N13FFF">
                <pb xlink:href="077/01/110.jpg" pagenum="106"/>
              verùm & AF (ex proximè demonſtratis) ipſius FD duplex
                <lb/>
              exiſtit. </s>
              <s id="N14012">erunt igitur BH FA inter ſe ęquales. </s>
              <s id="N14014">Quoniam autem
                <lb/>
              BH eſt ęquidiſtans ipſi AF, æquiangula erunt triagula GBH
                <lb/>
                <arrow.to.target n="marg168"/>
              GAF. quare vt BH ad AF, ita BG ad GA, quia verò BH eſt
                <lb/>
              ipſi AF æqualis; erit & BG ipſi GA æqualis. </s>
              <s id="N14020">ergo recta li­
                <lb/>
              nea EFG bifariam diuidit AB. quod demonſtrare oporte­
                <lb/>
              bat. </s>
            </p>
            <p id="N14026" type="margin">
              <s id="N14028">
                <margin.target id="marg167"/>
              2.
                <emph type="italics"/>
              ſexti.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N14031" type="margin">
              <s id="N14033">
                <margin.target id="marg168"/>
                <emph type="italics"/>
              ex
                <emph.end type="italics"/>
              4.
                <emph type="italics"/>
              ſexti
                <emph.end type="italics"/>
              </s>
            </p>
            <figure id="id.077.01.110.1.jpg" xlink:href="077/01/110/1.jpg" number="69"/>
            <p id="N14045" type="main">
              <s id="N14047">Reliquum eſt, vt ob ſe〈que〉ntem demonſtrationem alteram
                <lb/>
              propoſitionem oſtendamus. </s>
            </p>
            <p id="N1404B" type="head">
              <s id="N1404D">PROPOSITIO.</s>
            </p>
            <p id="N1404F" type="main">
              <s id="N14051">Centrum grauitatis cuiuſlibet trianguli eſt in recta linea
                <lb/>
              baſi ducta æquidiſtante, quæ latus ita diuidat, vt pars ad an­
                <lb/>
              gulum reliquæ ad baſim ſit dupla. </s>
            </p>
            <p id="N14057" type="main">
              <s id="N14059">In trianagulo enim ABC ducta
                <lb/>
              ſit DE baſi BC æquidiſtans, quæ
                <lb/>
                <arrow.to.target n="fig51"/>
                <lb/>
              latus AB diuidat in D, ita vt DA
                <lb/>
              ipſius DB ſit duplex. </s>
              <s id="N14066">Dico in linea
                <lb/>
              DE centrum eſſe grauitatis triangu
                <lb/>
              li ABC. Ducatur ab angulo A ad
                <lb/>
              dimidiam BC linea AF, quæ di­
                <lb/>
                <arrow.to.target n="marg169"/>
              uidat DE in G. erit AD ad DB,
                <lb/>
              vt AG ad GF, ac propterea erit
                <lb/>
              AG ipſius GF dupla. </s>
              <s id="N14078">punctum er
                <lb/>
              go G centrum eſt grauitatis trian­
                <lb/>
              guli ABC. Quare conſtat
                <expan abbr="centrũ">centrum</expan>
                <lb/>
              eſſe in linea DE. quod demonſtra­
                <lb/>
              re oportebat </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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