DelMonte, Guidubaldo, Mechanicorvm Liber

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    <archimedes>
      <text>
        <body>
          <chap id="N1043F">
            <pb n="25" xlink:href="036/01/063.jpg"/>
            <p id="id.2.1.43.3.0.0.0" type="main">
              <s id="id.2.1.43.3.1.1.0">Sit deinde libra AB,
                <lb/>
              cuius centrum C ſit infra li
                <lb/>
              bram; ſintq; in AB pon
                <lb/>
              dera æqualia; libraq; ſit
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              mota in EF. </s>
              <s id="id.2.1.43.3.1.1.0.a">Dico maio­
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              rem habere grauitatem
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              pondus in F, quàm pondus
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              in E. </s>
              <s id="id.2.1.43.3.1.1.0.b">atq; ideo libram EF
                <lb/>
              deorſum ex parte F moue­
                <lb/>
              ri. </s>
              <s id="id.2.1.43.3.1.2.0">Producatur DC ex
                <lb/>
              vtraq; parte vſq; ad mun­
                <lb/>
              di centrum S, & vſq; ad
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              O, lineaq; HS ducatur,
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              cui à punctis EF æquidi­
                <lb/>
              ſtantes ducantur GEk FL;
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              connectanturq; CE CF:
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              atq; centro C, ſpatioq; CE
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              circulus deſcribatur AEO
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              BF. </s>
              <s id="id.2.1.43.3.1.2.0.a">ſimiliter demonſtra­
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              bitur puncta ABEF in
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              circuli circumferentia eſſe;
                <lb/>
              deſcenſumq; libræ EF vná
                <lb/>
              cum ponderibus rectum ſe
                <lb/>
              cundùm lineam HS fieri;
                <lb/>
              ponderumq; in EF ſecun
                <lb/>
                <figure id="id.036.01.063.1.jpg" place="text" xlink:href="036/01/063/1.jpg" number="47"/>
              dùm
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              lineas GK FL ipſi HS æquidiſtantes. </s>
              <s id="id.2.1.43.3.1.3.0">Quoniam autem an
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              gulus CFP æqualis eſt angulo CEO: erit angulus HFP angulo
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              HEO maior. </s>
              <s id="id.2.1.43.3.1.4.0">angulus verò HFL æqualis eſt angulo HEG. </s>
              <s id="id.2.1.43.3.1.4.0.a">à
                <arrow.to.target n="note69"/>
                <lb/>
              quibus igitur ſi demantur anguli HFP HEO, erit angulus
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              LFP angulo GEO minor. </s>
              <s id="id.2.1.43.3.1.5.0">quare deſcenſus ponderis in F rectior
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              erit aſcenſu ponderis in E. </s>
              <s id="id.2.1.43.3.1.5.0.a">ergo naturalis potentia ponderis in
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              F reſiſtentiam violentiæ ponderis in E ſuperabit. </s>
              <s id="id.2.1.43.3.1.6.0">& ideo ma­
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              iorem habebit grauitatem pondus in F, quàm pondus in E. </s>
              <s id="id.2.1.43.3.1.6.0.a">
                <lb/>
              Pondus igitur in F deorſum, pondus verò in E ſurſum mo­
                <lb/>
              uebitur. </s>
            </p>
            <p id="id.2.1.44.1.0.0.0" type="margin">
              <s id="id.2.1.44.1.1.1.0">
                <margin.target id="note69"/>
              29
                <emph type="italics"/>
              Primi.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.45.1.0.0.0" type="main">
              <s id="id.2.1.45.1.1.1.0">Ariſtotelis quoq; ratio hic perſpicua erit. </s>
              <s id="id.2.1.45.1.1.2.0">ſit enim punctum
                <arrow.to.target n="note70"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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