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

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    <archimedes>
      <text>
        <body>
          <chap id="N10019">
            <p id="N12ADE" type="main">
              <s id="N12B11">
                <pb xlink:href="077/01/081.jpg" pagenum="77"/>
                <emph type="italics"/>
              erit punctum C ſecundùm diuiſionem proportione reſpondentem prædi­
                <lb/>
              etæ.
                <emph.end type="italics"/>
              vt ſcilicet ſit HC ad CE, vt AD ad DG. etenim ut AD
                <lb/>
              ad DG; ita
                <expan abbr="factũ">factum</expan>
              fuit FC ad CE. ſi igitur ſecetur linea EH ſe
                <lb/>
              cundùm proportionem ipſius AD ad DG; non terminabit
                <lb/>
                <arrow.to.target n="fig32"/>
                <lb/>
              diuiſio ad punctum C. cùm ſit impoſſibile eandem habere
                <lb/>
              proportionem FC ad CE, quam. </s>
              <s id="N12B32">HC ad eandem CE. di­
                <lb/>
              uiſio igitur ad aliud terminabitur punctum, vt K; ita vt
                <arrow.to.target n="marg70"/>
                <lb/>
              ad KE ſit, vt AD ad DG. vnde ſequitur punctum K cen­
                <lb/>
              trum eſſe grauitatis magnitudinis ex AD DG compoſitæ.
                <lb/>
                <emph type="italics"/>
              Non eſt igitur punctum C centrum magnitudinis ex AD DG compo
                <lb/>
              ſitæ; hoc est ipſius AB. eſt autem; ſuppoſitum eſt enim
                <emph.end type="italics"/>
              ipſum eſſe.
                <emph type="italics"/>
              er­
                <lb/>
              go ne〈que〉 punctum H centrum est grauitatis magnitudinis DG.
                <emph.end type="italics"/>
              eſt
                <lb/>
              igitur punctum F; quod quidem eſt terminus productę lineę
                <lb/>
              CF; quæ eandam habet proportionem ad lineam CE inter
                <lb/>
              centra exiſtentem; quam habet grauitas magnitudinis AD
                <lb/>
              ad grauitatem ipſius DG. quod demonſtrare oportebat. </s>
            </p>
            <p id="N12B56" type="margin">
              <s id="N12B58">
                <margin.target id="marg69"/>
                <emph type="italics"/>
              ex præce­
                <lb/>
              dentibus.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N12B62" type="margin">
              <s id="N12B64">
                <margin.target id="marg70"/>
                <emph type="italics"/>
              ex præce­
                <lb/>
              dentibus.
                <emph.end type="italics"/>
              </s>
            </p>
            <figure id="id.077.01.081.1.jpg" xlink:href="077/01/081/1.jpg" number="47"/>
            <p id="N12B72" type="head">
              <s id="N12B74">SCHOLIVM.</s>
            </p>
            <p id="N12B76" type="main">
              <s id="N12B78">In hac demonſtratione intelligendum eſt etiam punctum
                <lb/>
              H eſſe poſſe extra lineam EF, ita vt EFH non ſitirecta linea.
                <lb/>
              quòd ſi H non eſſet in linea EF, idem ſequi abſurdum adeò
                <lb/>
              perſpicuum eſt; vt nec demonſtratione egeat. </s>
              <s id="N12B80">Quoniam ſi in
                <lb/>
              telligatur H extra lineam EF; iuncta EH, & ita diuiſa intel­
                <lb/>
              ligatur, vt ipſius partes permutatim grauitatibus magnitudi­
                <lb/>
              num AD DG reſpondeant; eſſet vti〈que〉 hoc punctum
                <expan abbr="inuẽ-tum">inuen­
                  <lb/>
                tum</expan>
              , quod extra lineam EF reperiretur, centrum grauitatis to </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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