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

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    <archimedes>
      <text>
        <body>
          <chap id="N10019">
            <pb xlink:href="077/01/175.jpg" pagenum="171"/>
            <p id="N16A16" type="main">
              <s id="N16A18">
                <emph type="italics"/>
              Sit portio ABC, qualis dicta est. </s>
              <s id="N16A1C">ipſius verò diameter ſit BD. cen­
                <lb/>
              trum autem grauitatis ſit punctum H. oſtendendum eſt BH ipſius HD
                <lb/>
              ſeſquialteram eſſe. </s>
              <s id="N16A22">Planè inſcribatur in portione ABC triangulum ABC.
                <lb/>
              cuius centrum grauitatis ſit punctum E. biſariamquè diuidatur vtra­
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              què AB BC in punctis FG. & ipſi BD æquidiſtantes ducantur F
                <emph.end type="italics"/>
              k
                <lb/>
                <emph type="italics"/>
              GL. erunt vti〈que〉
                <emph.end type="italics"/>
              FK GL
                <emph type="italics"/>
              diametri portionum A
                <emph.end type="italics"/>
              k
                <emph type="italics"/>
              B BLC. ſit ita­
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              〈que〉 portionis A
                <emph.end type="italics"/>
              k
                <emph type="italics"/>
              B centrum grauitatis M; portionis verò BLC pun­
                <lb/>
              ctum N. connectantur〈que〉 FG MN
                <emph.end type="italics"/>
              k
                <emph type="italics"/>
              L
                <emph.end type="italics"/>
              , quæ diametrum BD ſe­
                <lb/>
                <arrow.to.target n="fig77"/>
                <lb/>
              cent in punctis OQS. Quoniam igitur puncta MN in
                <expan abbr="eadẽ">eadem</expan>
                <lb/>
              proportione diuidunt KF LG, erit KM ad MF, vt LN
                <arrow.to.target n="marg307"/>
                <lb/>
              NG. & componendo KF ad FM, vt LG ad GN. &
                <arrow.to.target n="marg308"/>
              per­
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              mutando KF ad LG, vt FM ad GN. ſuntquè KF LG
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              æquales; erit FM ipſi GN ęqualis; & reliqua Mk
                <arrow.to.target n="marg309"/>
                <lb/>
              LN æqualis. </s>
              <s id="N16A6D">& quoniam FM GN, & Mk NL
                <arrow.to.target n="marg310"/>
              ęqui­
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              diſtantes, erunt FG MN KL inter ſe ęquales, &
                <arrow.to.target n="marg311"/>
                <expan abbr="æquidiſtã-tes">æquidiſtan­
                  <lb/>
                tes</expan>
              . & eſt BD æquidiſtans KF, erit igitur SQ ipſi KM æ­
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              qualis. </s>
              <s id="N16A81">quia verò KF BD LG ſunt æquidiſtantes, erit MQ
                <arrow.to.target n="marg312"/>
                <lb/>
              QN, vt FO ad OG. Cùm autem ſit BF ad FA, vt BG ad GC, </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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