DelMonte, Guidubaldo, Mechanicorvm Liber

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    <archimedes>
      <text>
        <body>
          <chap id="N13F6F">
            <pb xlink:href="036/01/196.jpg"/>
            <p id="id.2.1.183.3.0.0.0" type="head">
              <s id="id.2.1.183.4.1.1.0">PROPOSITIO XXI. </s>
            </p>
            <p id="id.2.1.183.5.0.0.0" type="main">
              <s id="id.2.1.183.5.1.1.0">Si tribus duarum trochlearum orbiculis, qua
                <lb/>
              rum altera vnius tantùm orbiculi ſupernè à po­
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              tentia ſuſtineatur, altera verò duorum infernè,
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              ponderiq; alligata, collocata fuerit, funis cir­
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              cumuoluatur; altero eius extremo alicubi, altero
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              autem ſuperiori trochleæ religato: pondus poten
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              tiæ ſeſquitertium erit. </s>
            </p>
            <p id="id.2.1.183.6.0.0.0" type="main">
              <s id="id.2.1.183.6.1.1.0">Sit pondus A trochleæ inferiori alliga­
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              tum, quæ duos habeat orbiculos, quorum
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              centra ſint BC; ſuperiorq; trochlea orbicu­
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              lum habeat, cuius centrum D; & ſit funis
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              EFGHkLMN circa omnes orbiculos re
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              uolutus, qui religatus ſit in N, & in E tro
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              chleæ ſuperiori; ſit〈qué〉 potentia in O
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              ſuſtinens pondus A. </s>
              <s id="id.2.1.183.6.1.1.0.a">dico pondus po­
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                <arrow.to.target n="note263"/>
              tentiæ ſeſquitertium eſſe. </s>
              <s id="id.2.1.183.6.1.2.0">Quoniam enim
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              vnuſquiſq; funis NM HG EF KL quar­
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              tam ſuſtinent partem ponderis A, & omnes
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              ſimul totum ſuſtinent pondus; tres HG
                <lb/>
              EF kL ſimul tres ſuſtinebunt partes pon­
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              deris A. </s>
              <s id="N15726">quare pondus A ad hos omnes
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              ſimul erit, vt quatuor ad tria: & cùm po­
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              tentia in O idem efficiat, quod HG EF kL
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              ſimul efficiunt; omnes enim ſuſtinet; erit po
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              tentia in O tribus ſimul HG EF kL æ­
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              qualis; & ob id pondus A ad potentiam
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              in O erit, vt quatuor ad tria; hoc eſt ſeſqui
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              tertium. </s>
              <s id="id.2.1.183.6.1.3.0">quod demonſtrare oportebat.
                <figure id="id.036.01.196.1.jpg" place="text" xlink:href="036/01/196/1.jpg" number="181"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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