DelMonte, Guidubaldo, Mechanicorvm Liber

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          <chap id="N1043F">
            <pb xlink:href="036/01/074.jpg"/>
            <p id="id.2.1.53.8.0.0.0" type="head">
              <s id="id.2.1.53.8.1.1.0">PROPOSITIO. V. </s>
            </p>
            <p id="id.2.1.53.9.0.0.0" type="main">
              <s id="id.2.1.53.9.1.1.0">Duo pondera in libra appenſa, ſi libra inter
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              hæc ita diuidatur, vt partes ponderibus per­
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              mutatim reſpondeant; tàm in punctis appenſis
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              ponderabunt, quàm ſi vtraq; ex diuiſionis pun­
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              cto ſuſpendantur.
                <figure id="id.036.01.074.1.jpg" place="text" xlink:href="036/01/074/1.jpg" number="64"/>
              </s>
            </p>
            <p id="id.2.1.53.10.0.0.0" type="main">
              <s id="id.2.1.53.10.1.1.0">Sit AB libra, cuius centrum C; ſintq; duo pondera EF ex pun
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              ctis BG ſuſpenſa: diuidaturq; BG in H, ita vt BH ad HG
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              eandem habeat proportionem, quam pondus E ad pondus F. </s>
              <s id="id.2.1.53.10.1.1.0.a">
                <lb/>
              Dico pondera EF tàm in BG ponderare, quàm ſi vtraq; ex pun
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              cto H ſuſpendantur. </s>
              <s id="id.2.1.53.10.1.2.0">fiat AC ipſi CH æqualis. </s>
              <s id="id.2.1.53.10.1.3.0">& vt AC ad
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              CG, ita fiat pondus E ad pondus L. </s>
              <s id="N1220A">ſimiliter vt AC ad CB,
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              ita fiat pondus F ad pondus M. </s>
              <s id="N1220E">ponderaq; LM ex puncto A ſu
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              ſpendantur. </s>
              <s id="id.2.1.53.10.1.4.0">Quoniam enim AC eſt æqualis CH, erit BC ad
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              CH vt pondus M ad pondus F. </s>
              <s id="id.2.1.53.10.1.4.0.a">& quoniam maior eſt BC,
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              quàm CH; erit & pondus M ipſo F maius. </s>
              <s id="id.2.1.53.10.1.5.0">diuidatur igitur pon
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              dus M in duas partes QR, ſitq; pars Q ipſi F æqualis; erit BC
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                <arrow.to.target n="note82"/>
              ad CH, vt RQ ad Q: & diuidendo, vt BH ad HC, ita R ad q.
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                <arrow.to.target n="note83"/>
              deinde conuertendo, vt CH ad HB, ita Q ad R. </s>
              <s id="id.2.1.53.10.1.5.0.a">Præterea quo­
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              niam CH eſt æqualis ipſi CA, erit HC ad CG, vt pondus
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              E ad pondus L: maior autem eſt HC, quàm CG; erit & pon­</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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