Stelliola, Niccol� Antonio, De gli elementi mechanici, 1597

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[Figure 41]
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[Figure 42]
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[Figure 43]
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[Figure 44]
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[Figure 48]
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[Figure 49]
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    <archimedes>
      <text>
        <body>
          <chap id="N10D92">
            <pb xlink:href="041/01/049.jpg" pagenum="48"/>
          </chap>
          <chap id="N10E39">
            <p id="N10E3A" type="head">
              <s id="N10E3C">
                <emph type="italics"/>
              PROPOSITIONE.
                <emph.end type="italics"/>
                <lb/>
              I. </s>
            </p>
            <p id="N10E44" type="main">
              <s id="N10E46">Se delli due capi della girella, l'vna ſoſtenti peſo, l'al
                <lb/>
              tro ſia dato a poſſanza: la poſſanza del capo ſarà di mo
                <lb/>
              mento eguale al peſo. </s>
              <s id="N10E4C">e la poſſanza della taglia ſoſtenta
                <lb/>
              rà il doppio. </s>
            </p>
            <p id="N10E50" type="head">
              <s id="N10E52">
                <emph type="italics"/>
              Dimoſtratione.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N10E58" type="main">
              <s id="N10E5A">
                <emph type="italics"/>
              Sia la taglia AB: li capi della fune auuolta
                <emph.end type="italics"/>
                <lb/>
                <figure id="id.041.01.049.1.jpg" xlink:href="041/01/049/1.jpg" number="41"/>
                <lb/>
                <emph type="italics"/>
              A C, B D: dequali A C, ſoſtenti il peſo C: e B
                <lb/>
              D, ſia dato alla poſſanza in D: dico che la
                <lb/>
              poſſanza in D è di momento eguale al peſo: e
                <lb/>
              che la poſſanza in E, ſoſtenta il doppio. </s>
              <s id="N10E6F">Si
                <lb/>
              moſtra: e prima che'l momento di D, ſia v­
                <lb/>
              guale al momento di C. </s>
              <s>è manifeſto: perche
                <lb/>
              ſe l'vn di loro fuſſe maggiore, la girella volte
                <lb/>
              rebbe verſo detto momento: Jl che è contro
                <lb/>
              il ſuppoſto. </s>
              <s id="N10E7B">Dico hora che la poſſanza della
                <lb/>
              taglia ſia doppia del peſo: percioche eſſendo
                <lb/>
              la poſſanza di D, equiualente al peſo C: ambi
                <lb/>
              C e D, ſono il doppio di eſſo C: ma la
                <expan abbr="poſsãza">poſsanza</expan>
              in
                <lb/>
              E, in quanto ſoſtiene, è vguale ad ambi: dun­
                <lb/>
              que è doppia di vn di loro. </s>
              <s id="N10E8F">Haſſi dunque il
                <lb/>
              propoſto, che la poßanza D, ſia vguale al mo
                <lb/>
              mento di C: e che la E, ſoſtenti il doppio di eſſo.
                <emph.end type="italics"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
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