DelMonte, Guidubaldo, Mechanicorvm Liber

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    <archimedes>
      <text>
        <body>
          <chap id="N13F6F">
            <p id="id.2.1.163.4.0.0.0" type="main">
              <s id="id.2.1.163.4.1.2.0.a">
                <pb n="79" xlink:href="036/01/171.jpg"/>
              cùm ſit æqualis XY; ergo 9 Z ipſius HO dupla erit. </s>
              <s id="id.2.1.163.4.1.3.0">Itaq; dum poten
                <lb/>
              tiæ erunt in GY, pondera AV erunt in OZ. </s>
              <s id="N14D5D">in eodem autem
                <lb/>
              tempore erunt potentiæ in GY, ipſarum enim velocitates mo
                <lb/>
              tuum ſunt æquales; quare vis in F pondus A in eodem tempore
                <lb/>
              mouebit per dimidium ſpatium eius, per quod mouetur à poten
                <lb/>
              tia in X pondus V: & pondera ſunt æqualia; Potentia ergo idem
                <lb/>
              pondus in æquali tempore per dimidium ſpatium mouebit fune,
                <lb/>
              trochleaq; hoc modo ponderi alligata, quàm ſine trochlea; dum
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              modo potentiæ motuum velocitates ſint æquales. </s>
              <s id="id.2.1.163.4.1.4.0">quod erat de­
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              monſtrandum. </s>
            </p>
            <p id="id.2.1.163.5.0.0.0" type="head">
              <s id="id.2.1.163.5.1.1.0">PROPOSITIO XII. </s>
            </p>
            <p id="id.2.1.163.6.0.0.0" type="main">
              <s id="id.2.1.163.6.1.1.0">Si funis circa plures reuoluatur orbiculos, al­
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              tero eius extremo alicubi religato, altero au­
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              tem à potentia pondus mouente detento; poten
                <lb/>
              tia vectibus horizonti ſemper æquidiſtantibus
                <lb/>
              mouebit. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>