DelMonte, Guidubaldo, Le mechaniche

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    <archimedes>
      <text id="id.0.0.0.0.3">
        <body id="id.2.0.0.0.0">
          <chap id="N13354">
            <p id="id.2.1.659.0.0" type="main">
              <s id="id.2.1.659.3.0">
                <pb pagenum="53" xlink:href="037/01/121.jpg"/>
                <emph type="italics"/>
              ſanza ſia maggiore del peſo A. </s>
              <s id="id.2.1.659.4.0">Sia dunque la poſſanza data, come cento cin­
                <emph.end type="italics"/>
                <arrow.to.target n="note196"/>
                <lb/>
                <emph type="italics"/>
              quanta. </s>
              <s id="id.2.1.659.5.0">Diuidaſi BC in D ſi fattamente che CB ſia à BD come cento cin­
                <lb/>
              quanta à cento, cioè tre à due: & ſe la poſſanza ſarà poſta in D, egli è chiaro,
                <lb/>
              che la poſſanza in D ſoſter­
                <lb/>
              rà il peſo A appiccato in C.
                <emph.end type="italics"/>
                <arrow.to.target n="note197"/>
                <lb/>
              </s>
              <s id="N14B8C">
                <emph type="italics"/>
              & coſi prendaſi tra DC
                <lb/>
              qual ſi voglia punto, come
                <lb/>
              E, & pongaſi la poſſanza
                <lb/>
              mouente in E, & per eſſere
                <lb/>
              proportion maggiore da EB
                <lb/>
              à BC, che da DB à BC;
                <lb/>
              haurà EB proportione mag
                <lb/>
              giore à BC, che il peſo A
                <emph.end type="italics"/>
                <arrow.to.target n="note198"/>
                <lb/>
                <figure id="id.037.01.121.1.jpg" xlink:href="037/01/121/1.jpg" number="118"/>
                <lb/>
                <emph type="italics"/>
              alla poſſanza in E. </s>
              <s id="id.2.1.659.6.0">Dunque la poſſanza di cento cinquanta poſta in E mouerà il
                <lb/>
              peſo A di cento appiccato in C con la leua BC che hà il ſoſtegno B. </s>
              <s id="N14BB2">come bi­
                <emph.end type="italics"/>
                <arrow.to.target n="note199"/>
                <lb/>
                <emph type="italics"/>
              ſognaua oprare.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.661.0.0" type="margin">
              <s id="id.2.1.661.1.0">
                <margin.target id="note196"/>
                <emph type="italics"/>
              Per il
                <emph.end type="italics"/>
              2.
                <emph type="italics"/>
              corollario della
                <emph.end type="italics"/>
              3.
                <emph type="italics"/>
              di questo.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.662.0.0" type="margin">
              <s id="id.2.1.662.1.0">
                <margin.target id="note197"/>
                <emph type="italics"/>
              Per la
                <emph.end type="italics"/>
              3.
                <emph type="italics"/>
              di questo.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.663.0.0" type="margin">
              <s id="id.2.1.663.1.0">
                <margin.target id="note198"/>
                <emph type="italics"/>
              Per la
                <emph.end type="italics"/>
              8.
                <emph type="italics"/>
              del quinto.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.664.0.0" type="margin">
              <s id="id.2.1.664.1.0">
                <margin.target id="note199"/>
                <emph type="italics"/>
              Per la
                <emph.end type="italics"/>
              11.
                <emph type="italics"/>
              di questo.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.665.0.0" type="head">
              <s id="id.2.1.665.1.0">COROLLARIO. </s>
            </p>
            <p id="id.2.1.666.0.0" type="main">
              <s id="id.2.1.666.1.0">Di qui è manifeſto, ſe la data poſſanza ſarà maggiore del dato
                <lb/>
              peſo, queſto poterſi fare, ouero ſtando in maniera la leua,
                <lb/>
              che il ſoſtegno ſuo ſia fra il peſo, & la poſſanza; ouero che el­
                <lb/>
              la habbia il peſo fra il ſoſtegno, & la poſſanza; ouero alla fine
                <lb/>
              eſſendo poſta la poſſanza fra il peſo, & il ſoſtegno. </s>
            </p>
            <p id="id.2.1.667.0.0" type="main">
              <s id="id.2.1.667.1.0">Ma ſe la data poſſanza ſarà minore, ouero eguale al dato peſo,
                <lb/>
              egli è parimente chiaro, che il medeſimo ſi puote mandare ad
                <lb/>
              eſecutione ſolamente ſtando la leua in maniera, che il ſoſte­
                <lb/>
              gno ſuo ſia tra il peſo, & la poſſanza; ouero che ella habbia il
                <lb/>
              peſo fra il ſoſtegno, & la poſſanza. </s>
            </p>
            <p id="id.2.1.668.0.0" type="head">
              <s id="id.2.1.668.1.0">PROPOSITIONE XIII. </s>
            </p>
            <p id="id.2.1.669.0.0" type="head">
              <s id="id.2.1.669.1.0">PROBLEMA. </s>
            </p>
            <p id="id.2.1.670.0.0" type="main">
              <s id="id.2.1.670.1.0">Dati quanti ſi
                <expan abbr="vogliã">voglian</expan>
              peſi appiccati douunque ſi ſiano nella leua
                <lb/>
              il cui ſoſtegno parimente ſia dato, ritrouare vna poſſanza la
                <lb/>
              quale ſoſtenga i dati peſi in vn punto dato. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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