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

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    <archimedes>
      <text>
        <body>
          <chap id="N10019">
            <pb xlink:href="077/01/054.jpg" pagenum="50"/>
            <p id="N11C50" type="head">
              <s id="N11C52">PROPOSITIO. V.</s>
            </p>
            <p id="N11C54" type="main">
              <s id="N11C56">Si trium magnitudinum centra grauitatis in re
                <lb/>
              cta linea fuerint poſita, & magnitudines æqualem
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              habuerint grauitatem, acrectæ lineæ inter centra
                <lb/>
              fuerint æquales, magnitudinis ex omnibus magni
                <lb/>
              tudinibus compoſitæ centrum grauitatis erit
                <expan abbr="pũ">pum</expan>
                <lb/>
              ctum, quod & ipſarum mediæ centrum grauitatis
                <lb/>
              exiſtit. </s>
            </p>
            <figure id="id.077.01.054.1.jpg" xlink:href="077/01/054/1.jpg" number="30"/>
            <p id="N11C6B" type="main">
              <s id="N11C6D">
                <emph type="italics"/>
              Sint tres magnitudines ACB. ipſarum autem centra grauitatis ſint
                <lb/>
              puncta ACB in resta linea
                <emph.end type="italics"/>
              ACB
                <emph type="italics"/>
              poſita. </s>
              <s id="N11C79">ſint verò magnitudines ACB
                <lb/>
              æquales; rectæquè lineæ AC CB
                <emph.end type="italics"/>
              inter centra ipſarum
                <emph type="italics"/>
              aquales. </s>
              <s id="N11C83">Di
                <lb/>
              co magnitudinis ex omnibus
                <emph.end type="italics"/>
              ACB
                <emph type="italics"/>
              magnitudinibus compoſitæ
                <expan abbr="centrũgra">centrungra</expan>
                <lb/>
              uitatis eſſe punctum C.
                <emph.end type="italics"/>
              quod eſt centrum grauitatis mediæ ma­
                <lb/>
              gnitudinis.
                <emph type="italics"/>
              Quoniam enim magnitudines AB æqualem habent graui
                <emph.end type="italics"/>
                <lb/>
                <arrow.to.target n="marg37"/>
                <emph type="italics"/>
              tatem
                <emph.end type="italics"/>
              ; magnitudinis ex vtriſ〈que〉 AB compoſitæ
                <emph type="italics"/>
              centrum graui
                <lb/>
              tatis erit punctum C: cùm ſint AC CB æquales.
                <emph.end type="italics"/>
              ſitquè propterea
                <lb/>
              punctum C medium rectæ lineę AB.
                <emph type="italics"/>
              Sed & magnitudinis C
                <expan abbr="cē">cem</expan>
                <lb/>
              trum grauitatis est
                <emph.end type="italics"/>
              idem
                <emph type="italics"/>
              punctum C.
                <emph.end type="italics"/>
              punctum ergo C
                <expan abbr="triũ">trium</expan>
              ma­
                <lb/>
              gnitudinum ABC centrum quo〈que〉 grauitatis erit.
                <emph type="italics"/>
              Quare pa
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              tet magnitudinis ex omnibus magnitudinibus
                <emph.end type="italics"/>
              ACB
                <emph type="italics"/>
              compoſitæ centrum
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              grauitatis eſſe punctum, quod &
                <emph.end type="italics"/>
              magnitudinis
                <emph type="italics"/>
              mediæ centrum graui­
                <lb/>
              tatis existit.
                <emph.end type="italics"/>
              quod demonſtrare oportebat. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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