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

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    <archimedes>
      <text>
        <body>
          <chap id="N10019">
            <pb xlink:href="077/01/090.jpg" pagenum="86"/>
            <p id="N130F1" type="margin">
              <s id="N130F3">
                <margin.target id="marg88"/>
                <emph type="italics"/>
              ex
                <emph.end type="italics"/>
              34.
                <emph type="italics"/>
              pri
                <lb/>
              mi.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N13103" type="margin">
              <s id="N13105">
                <margin.target id="marg89"/>
              5.
                <emph type="italics"/>
              post hu­
                <lb/>
              ius.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N13110" type="margin">
              <s id="N13112">
                <margin.target id="marg90"/>
              4.
                <emph type="italics"/>
              huius.
                <emph.end type="italics"/>
              </s>
            </p>
            <figure id="id.077.01.090.1.jpg" xlink:href="077/01/090/1.jpg" number="52"/>
            <p id="N1311F" type="head">
              <s id="N13121">SCHOLIVM.</s>
            </p>
            <p id="N13123" type="main">
              <s id="N13125">Cognito centro grauitatis cuiuſlibet parallelogrammi,
                <lb/>
              vult Archimedes oſtendere centrum grauitatis triangulorum.
                <lb/>
              & quoniam in hac poſtrema demonſtratione aſſumpſit cen­
                <lb/>
              trum grauitatis trianguli ABD eſſe punctum E, videtur or
                <lb/>
              dinem peruertiſſe, & per ignotiora doctrinam tradidiſſe; cùm
                <lb/>
              non ſit adhuc oſtenſum, in quo ſitu dictum centrum in
                <expan abbr="triã-gulis">trian­
                  <lb/>
                gulis</expan>
              reperiatur. </s>
              <s id="N13137">quod tamen ſi rectè perpendamus, non ita ſe
                <lb/>
              habet. </s>
              <s id="N1313B">Nam vis demonſtrationis eſt in hoc conſtituta, vt
                <lb/>
              ſupponatur triangulum habere centrum grauitatis, idquè tan
                <lb/>
                <arrow.to.target n="marg91"/>
                <gap/>
              ùm eſſe intra ipsum triangulum, quod quidem ſupponi po­
                <lb/>
              teſt. </s>
              <s id="N13149">cùm triangulum ſit figura ad eaſdem partes concaua. </s>
              <s id="N1314B">ne­
                <lb/>
              〈que〉 enim refert, ſiuè centrum ſit in E, ſiuè in alio ſitu, dum­
                <lb/>
              modo intra triangulum exiſtat. </s>
              <s id="N13151">demonſtratio enim
                <expan abbr="eodẽ">eodem</expan>
              mo­
                <lb/>
              do ſemper concludet punctum H centrum eſſe grauitatis pa
                <lb/>
              rallelogrammi AC, quod idem obſeruandum eſt in
                <expan abbr="nõnullis">nonnullis</expan>
                <lb/>
              alijs demonſtrationibus. </s>
              <s id="N13161">vt in ſecunda demonſtratione deci­
                <lb/>
              mæ tertiæ, hui^{9} & in prima ſecundilibri. </s>
              <s id="N13165">Antequam
                <expan abbr="autẽ">autem</expan>
              Ar­
                <lb/>
              chimedes centrum grauitatis triangulorum oſtendat, nonnul
                <lb/>
              las pręmittit propoſitiones. </s>
            </p>
            <p id="N1316F" type="margin">
              <s id="N13171">
                <margin.target id="marg91"/>
              9.
                <emph type="italics"/>
              post hu­
                <lb/>
              ius.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N1317C" type="head">
              <s id="N1317E">PROPOSITIO. XI.</s>
            </p>
            <p id="N13180" type="main">
              <s id="N13182">Si duo triangula inter ſe ſimilia fuerint, & in i­
                <lb/>
              pſis ſint puncta ad triangula ſimiliter poſita & alre
                <lb/>
              rum punctum trianguli, in quo eſt, centrum fue­
                <lb/>
              rit grauitatis, & alterum punctum trianguli, in
                <lb/>
              quo eſt, centrum grauitatis exiſtet. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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