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

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    <archimedes>
      <text>
        <body>
          <chap id="N11161">
            <pb xlink:href="041/01/058.jpg" pagenum="57"/>
          </chap>
          <chap id="N111A4">
            <p id="N111A5" type="head">
              <s id="N111A7">
                <emph type="italics"/>
              PROPOSITIONE.
                <emph.end type="italics"/>
                <lb/>
              VIII. </s>
            </p>
            <p id="N111AF" type="main">
              <s id="N111B1">
                <emph type="italics"/>
              Problema. </s>
              <s id="N111B5">II.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N111B9" type="main">
              <s id="N111BB">Data qual ſi voglia velocità, e data la tardità della
                <lb/>
              poſsanza: applicar o vna taglia di più girelle, o più ta
                <lb/>
              glie di vna girella, ſi che la poſſanza moua il dato pe­
                <lb/>
              ſo in velocità magior della data. </s>
            </p>
            <p id="N111C3" type="head">
              <s id="N111C5">
                <emph type="italics"/>
              Dimoſtratione.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N111CB" type="main">
              <s id="N111CD">
                <emph type="italics"/>
              Pigliſi lo ſpatio che nel dato tem­
                <emph.end type="italics"/>
                <lb/>
                <figure id="id.041.01.058.1.jpg" xlink:href="041/01/058/1.jpg" number="48"/>
                <lb/>
                <emph type="italics"/>
              po camini la poſſanza: e lo ſpatio che
                <lb/>
              vogliamo che la coſa camini, e ſi mol
                <lb/>
              tiplichi il minore fin che la prima vol
                <lb/>
              ta auanzi, e quanto queſto è molte­
                <lb/>
              plice, tante corde ſiano nella taglia ſu
                <lb/>
              periore, pigliando la metà di girelle ſe
                <lb/>
              ſia pare, & ſe ſia ſpare, ligando vn ca
                <lb/>
              po ad eſſa taglia ſuperiore. </s>
              <s id="N111EA">Ligato dun
                <lb/>
              que il peſo ad vn capo, la poſſanza, che
                <lb/>
              tira la taglia, tirerà anco il peſo: e ca­
                <lb/>
              minerà lo ſpatio moltiplice al moui­
                <lb/>
              mento di eſſa poſſanza. </s>
              <s id="N111F4">Ma, ſe vo
                <lb/>
              gliamo far ciò con piú taglie di vna gi
                <lb/>
              rella, radoppiſi lo ſpatio, e di nuouo il
                <lb/>
              fatto dal radoppiamento ſi radoppij: e
                <lb/>
              ciò ſi torni a fare, si che l'ultimo radop
                <lb/>
              piamento auanzi lo ſpatio maggiore. </s>
              <lb/>
              <s id="N11201">Se dunque, quante volte ſi è radoppia­
                <lb/>
              to, tanto numero ditaglie ſi pigli, si mo
                <lb/>
              uer à il peſo ſecondo la ragion del radop
                <lb/>
              piamento dello ſpatio, e perciò ſi mo­
                <lb/>
              uerà con maggior velocità della data.
                <emph.end type="italics"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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