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

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    <archimedes>
      <text>
        <body>
          <chap id="N10019">
            <pb xlink:href="077/01/093.jpg" pagenum="89"/>
            <p id="N13258" type="head">
              <s id="N1325A">PROPOSITIO. XII.</s>
            </p>
            <p id="N1325C" type="main">
              <s id="N1325E">Si duo triangula ſimilia fuerint, alterius verò
                <lb/>
              trianguli centrum grauitatis in rectalinea fuerit,
                <lb/>
              quæ ſit ab aliquo angulo ad dimidiam baſim du­
                <lb/>
              cta; & alrerius trianguli centrum grauitatis erit in
                <lb/>
              linea ſimiliter ducta. </s>
            </p>
            <figure id="id.077.01.093.1.jpg" xlink:href="077/01/093/1.jpg" number="54"/>
            <p id="N1326B" type="main">
              <s id="N1326D">
                <emph type="italics"/>
              Sint duo triangula ABC DEF
                <emph.end type="italics"/>
              ſimilia
                <emph type="italics"/>
              ſitquè AC ad DF, vt
                <lb/>
              AB ad DE, & BC ad FE. Diuiſaquè AC bifariam in G, iunga
                <lb/>
              tur BG. centrum verò grauitatis trianguli ABC ſit punctum H in li
                <lb/>
              nea BG. Dico centrum grauitatis trianguli EDF eſſe in recta linea ſi
                <lb/>
              militer ducta. </s>
              <s id="N1327F">ſecetur DF bifariam in puncto M. & iungatur EM.
                <lb/>
              & vt BG ad BH, ita fiat ME ad EN. connectanturquè AH
                <lb/>
              HC, DN NF. Quoniam enim
                <emph.end type="italics"/>
              eſt BA ad ED, vt AC ad DF, &
                <lb/>
                <emph type="italics"/>
              AG dimidia eſt ipſius AC; ipſius verò DF dimidiaest DM; erit BA
                <lb/>
              ad ED, vt AG ad DM.
                <emph.end type="italics"/>
              Quoniam autem ob
                <expan abbr="triãgulorum">triangulorum</expan>
                <arrow.to.target n="marg93"/>
                <lb/>
              ABC DEF ſimilitudinem angulus BAC angulo EDF eſt ę­
                <lb/>
              qualis. </s>
              <s id="N1329C">& vt AB ad DE, ita AG ad DM;
                <expan abbr="permutandoq́">permutando〈que〉</expan>
              ; AB
                <arrow.to.target n="marg94"/>
                <lb/>
              AG, vt DE ad DM; erit
                <expan abbr="triangulũ">triangulum</expan>
              ABG
                <expan abbr="triãgulo">triangulo</expan>
              DEM ſimile.
                <lb/>
                <expan abbr="ſimiliũ">ſimilium</expan>
                <expan abbr="ãt">ant</expan>
                <expan abbr="triãgulorũ">triangulorum</expan>
                <expan abbr="ãguli">anguli</expan>
                <expan abbr="sũt">sunt</expan>
              ęquales,
                <emph type="italics"/>
              et circa æquales
                <expan abbr="ãgulos">angulos</expan>
              late
                <emph.end type="italics"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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