DelMonte, Guidubaldo, Le mechaniche

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      <text id="id.0.0.0.0.3">
        <body id="id.2.0.0.0.0">
          <chap id="N14EBE">
            <pb pagenum="89" xlink:href="037/01/193.jpg"/>
            <p id="id.2.1.1028.0.0" type="head">
              <s id="id.2.1.1028.1.0">PROPOSITIONE XXII. </s>
            </p>
            <p id="id.2.1.1029.0.0" type="main">
              <s id="id.2.1.1029.1.0">Se all'vna & l'altra di ciaſcuna girella delle due taglie, l'vna del­
                <lb/>
              le quali ſia ſoſtenuta di ſopra dalla poſſanza, & l'altra poſta di
                <lb/>
              ſotto, & legata al peſo, ſarà condotta d'intorno la corda; con
                <lb/>
              l'vno de ſuoi capi legato in qualche luogo, & l'altro attaccato
                <lb/>
              alla taglia di ſopra. </s>
              <s id="id.2.1.1029.2.0">ſarà la poſſanza vna volta & meza tanto
                <lb/>
              quanto il peſo. </s>
            </p>
            <p id="id.2.1.1030.0.0" type="main">
              <s id="id.2.1.1030.1.0">
                <emph type="italics"/>
              Sia la girella ABC della taglia legata
                <lb/>
              al peſo D; & EFG la girella del­
                <lb/>
              la taglia di ſopra, il cui centro ſia H;
                <lb/>
              ſia dapoi la corda KABCEFGL ri­
                <lb/>
              uolta d'intorno alle girelle, & legata
                <lb/>
              in L & in K alla taglia di ſopra; &
                <lb/>
              ſia in M la poſſanza, che ſoſtiene il
                <emph.end type="italics"/>
                <arrow.to.target n="note259"/>
                <lb/>
                <emph type="italics"/>
              peſo D. </s>
              <s id="id.2.1.1030.2.0">Dico che la poſſanza è vna
                <lb/>
              volta & meza quanto è il peſo. </s>
              <s id="id.2.1.1030.3.0">Hor
                <emph.end type="italics"/>
                <arrow.to.target n="note260"/>
                <lb/>
                <emph type="italics"/>
              percioche la poſſanza di E ſoſtenente
                <lb/>
              il peſo D è la metà meno del peſo D;
                <emph.end type="italics"/>
                <arrow.to.target n="note261"/>
                <lb/>
                <emph type="italics"/>
              & la poſſanza di H è due volte quan
                <lb/>
              to la poſſanza poſta in E; ſarà la poſ­
                <lb/>
              ſanza di H eguale al peſo D; & con
                <lb/>
              cioſia, che la poſſanza di K ſia la me­
                <lb/>
              tà meno del peſo D; ſaranno ambe­
                <lb/>
              due le poſſanze inſieme poſte in HK
                <lb/>
              vna volta & meza quanto il peſo D.
                <lb/>
              </s>
              <s id="id.2.1.1030.4.0">eſſendo adunque la poſſanza di M egua­
                <lb/>
              le à due poſſanze in HK preſe inſie­
                <lb/>
              me, ſi come di ſopra è ſtato dichiarato;
                <lb/>
              ſarà la poſſanza di M vna volta &
                <lb/>
              meza quanto il peſo D. </s>
              <s id="N16ED9">che biſogna­
                <lb/>
              ua moſtrare.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.1031.0.0" type="margin">
              <s id="id.2.1.1031.1.0">
                <margin.target id="note259"/>
                <emph type="italics"/>
              Per la
                <emph.end type="italics"/>
              2.
                <emph type="italics"/>
              di questo.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.1032.0.0" type="margin">
              <s id="id.2.1.1032.1.0">
                <margin.target id="note260"/>
                <emph type="italics"/>
              Per la
                <emph.end type="italics"/>
              15.
                <emph type="italics"/>
              di questo.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.1033.0.0" type="margin">
              <s id="id.2.1.1033.1.0">
                <margin.target id="note261"/>
                <emph type="italics"/>
              Per il
                <emph.end type="italics"/>
              2.
                <emph type="italics"/>
              corollario del la
                <emph.end type="italics"/>
              2.
                <emph type="italics"/>
              di questo.
                <emph.end type="italics"/>
              </s>
            </p>
            <figure id="id.037.01.193.1.jpg" xlink:href="037/01/193/1.jpg" number="179"/>
            <p id="id.2.1.1035.0.0" type="main">
              <s id="id.2.1.1035.1.0">
                <emph type="italics"/>
              Ma ſe la poſſanza che moue il peſo ſarà in
                <lb/>
              M, ſi moſtrerà ſimilmente, come nelle
                <lb/>
              precedenti, lo ſpatio del peſo eſſere vna
                <lb/>
              volta & meza tanto quanto lo ſpatio
                <lb/>
              della poſſanza.
                <emph.end type="italics"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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