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

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    <archimedes>
      <text>
        <body>
          <chap id="N10019">
            <pb xlink:href="077/01/091.jpg" pagenum="87"/>
            <p id="N1318F" type="main">
              <s id="N13191">Dicimus quidem puncta in ſimilibus figuris eſſe
                <lb/>
              ſimiliter poſita, è quibus ad æquales angulos du­
                <lb/>
              ctæ rectæ lineæ, æquales efficiunt angulos ad ho­
                <lb/>
              mologalatera. </s>
              <s id="N13199">Vt dictum fuit in ſeptimo poſtulato. </s>
            </p>
            <figure id="id.077.01.091.1.jpg" xlink:href="077/01/091/1.jpg" number="53"/>
            <p id="N1319E" type="main">
              <s id="N131A0">
                <emph type="italics"/>
              Sint duo triangula ABC DEF
                <emph.end type="italics"/>
              ſimilia.
                <emph type="italics"/>
              ſit què AC ad DE, vt
                <lb/>
              AB ad DE, & BC ad EF. & in præfatis triangulis ABC DEF
                <lb/>
              ſint puncta HN ſimiliter poſita ſitquè punctum H centrum grauitatis
                <lb/>
              trianguli ABC. Dico & punctum N centrum eſſe grauitatis trianguli
                <lb/>
              DEF. non ſit quidem, ſed, ſi fieripoteſt, ſit punctum G centrum grauita
                <lb/>
              tis trianguli DEF.
                <expan abbr="connectãturquè">connectanturquè</expan>
              HA HB HC, DN EN FN,
                <lb/>
              DG EG FG. Quoniamigitur ſimile eſt triangulum ABC triangulo
                <lb/>
              DEF, &
                <emph.end type="italics"/>
              ipſorum
                <emph type="italics"/>
              centra grauitatum ſunt puncta HG. ſimi­
                <lb/>
              lium autem figurarum centra grauitatum ſunt ſimiliter poſita; ita vt
                <emph.end type="italics"/>
                <arrow.to.target n="marg92"/>
                <lb/>
              ab ipſis ad ęquales angulos ductæ rectæ lineę
                <emph type="italics"/>
              æquales faciant
                <lb/>
              angulos ad homologa latera, vnum〈que〉mquè vnicuiquè; erit angulus
                <lb/>
              GDE ipſi HAB aqualis. </s>
              <s id="N131D3">at verò anguius HAB aqualis est angulo
                <lb/>
              EDN, cùm ſint puncta HN ſimiliter poſita: angulus igitur EDG
                <lb/>
              angulo EDN æqualis existit. </s>
              <s id="N131D9">maior minori quòd fierinon potest. </s>
              <s id="N131DB">Non
                <lb/>
              igitur punctum G centrum eſt grauitatis trianguli DEF. Quare eſt
                <lb/>
              punctum N. quod demonstrare oportebat.
                <emph.end type="italics"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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