DelMonte, Guidubaldo, Le mechaniche

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        <body id="id.2.0.0.0.0">
          <chap id="N14EBE">
            <pb xlink:href="037/01/174.jpg"/>
            <p id="id.2.1.926.0.0" type="main">
              <s id="id.2.1.926.1.0">
                <emph type="italics"/>
              Sia la taglia, che habbia la girella co'l ſuo centro A; & ſia il peſo B legato alla
                <lb/>
              corda CDEFG, laquale ſia in uol­
                <lb/>
              ta d'intorno alla girella, & alla fine
                <lb/>
              legata in G; & ſia la poſſanza, che
                <lb/>
              ſoſtiene il peſo in H. </s>
              <s id="id.2.1.926.2.0">Dico, che la
                <lb/>
              poſſanza di H è due volte tanto quan
                <lb/>
              to il peſo B. </s>
              <s id="id.2.1.926.3.0">Sia condotta la linea
                <lb/>
              DF per lo centro A egualmente di
                <lb/>
              ſtante dall'orizonte. </s>
              <s id="id.2.1.926.4.0">Percioche dun­
                <lb/>
              que la poſſanza di H ſoſtiene la ta­
                <lb/>
              glia, laquale ſoſtiene la girella nel ſuo
                <lb/>
              centro A, laqual girella ſoſtiene il pe
                <lb/>
              ſo; ſarà la poſſanza, che ſoſtiene la gi­
                <lb/>
              rella, come ſe foſſe poſta in A; ſtan­
                <lb/>
              do dunque eſſa in A, & il peſo ap­
                <lb/>
              piccato in D, & legato alla corda
                <lb/>
              CD; ſarà la DF come leua, il cui
                <lb/>
              ſoſtegno ſarà F, il peſo in D & la
                <emph.end type="italics"/>
                <lb/>
                <arrow.to.target n="note248"/>
                <emph type="italics"/>
              poſſanza in A. </s>
              <s id="id.2.1.926.5.0">Ma la poſſanza ver­
                <lb/>
              ſo il peſo è come DF ad FA, &
                <lb/>
              DF è il doppio di FA: adunque la
                <lb/>
              poſſanza di A ouero di H, che è
                <lb/>
              l'iſteſſo, ſarà due volte tanto, quanto il
                <lb/>
              peſo B. </s>
              <s id="N16592">che biſognaua moſtrare.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.927.0.0" type="margin">
              <s id="id.2.1.927.1.0">
                <margin.target id="note248"/>
                <emph type="italics"/>
              Per la
                <emph.end type="italics"/>
              3.
                <emph type="italics"/>
              di questo nella leua.
                <emph.end type="italics"/>
              </s>
            </p>
            <figure id="id.037.01.174.1.jpg" xlink:href="037/01/174/1.jpg" number="162"/>
            <p id="id.2.1.929.0.0" type="main">
              <s id="id.2.1.929.1.0">
                <emph type="italics"/>
              Oltre à ciò occorre à conſiderare, ſtando ferme tutte queſte coſe, che egli è l'iſteſſo, eſ­
                <lb/>
              ſendo vna corda ſola CDEFG in queſto modo inuolta d'intorno alla girella, co­
                <lb/>
              me ſe foſſero due corde CDFG legate nella leua, ouero nella bilancia DF.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.930.0.0" type="head">
              <s id="id.2.1.930.1.0">Altramente. </s>
            </p>
            <p id="id.2.1.931.0.0" type="main">
              <s id="id.2.1.931.1.0">
                <emph type="italics"/>
              Stando le medeſime coſe, ſe in G foſſe appiccato un peſo K eguale al peſo B, li peſi
                <lb/>
              BK peſerebbono egualmente nella bilancia DF, il cui centro A. </s>
              <s id="id.2.1.931.2.0">Ma la poſ­
                <lb/>
              ſanza di H, laquale ſoſtiene i peſi BK è eguale ad ambidue preſi inſieme, & i
                <lb/>
              peſi BK ſono due volte tanto quanto è eſſo B. </s>
              <s id="id.2.1.931.3.0">Adunque la poſſanza di H ſa­
                <lb/>
              rà due volte tanto quanto è il B. </s>
              <s id="N165D7">& percioche la corda legata in G non fa al­
                <lb/>
              tro niente, ſe non che ſoſtiene il peſo B, che non diſcenda, laqual coſa parimente
                <lb/>
              fà il peſo K appiccato in G: la poſſanza dunque di H, che ſoſtiene il peſo B,
                <lb/>
              eſſendo la corda legata in G, è due volte tanto quanto il peſo B. </s>
              <s id="N165DF">che biſognaua
                <lb/>
              mostrare.
                <emph.end type="italics"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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