DelMonte, Guidubaldo, Le mechaniche

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          <chap id="N13354">
            <p id="id.2.1.691.0.0" type="main">
              <s id="id.2.1.691.2.0">
                <pb pagenum="55" xlink:href="037/01/125.jpg"/>
                <emph type="italics"/>
              quali taglino la linea AF ne' punti KL. </s>
              <s id="id.2.1.691.3.0">Hor percioche la leua AB è diui­
                <lb/>
              ſa dalla linea CE in due parti, cioè AE EF; però la leua AB, niente altro
                <lb/>
              ſarà, che due peſi AE EF nella leua, ouero bilancia AF poſti; il cui appicca
                <lb/>
              mento, ouero ſoſtegno è C. </s>
              <s id="id.2.1.691.4.0">Per laqual coſa i peſi AE EF ſaranno coſi poſti,
                <emph.end type="italics"/>
                <lb/>
                <figure id="id.037.01.125.1.jpg" xlink:href="037/01/125/1.jpg" number="123"/>
                <lb/>
                <emph type="italics"/>
              come ſe foſſero appiccati in KL. </s>
              <s id="id.2.1.691.5.0">Diuidaſi dunque KL in M, ſi fattamente,
                <lb/>
              che KM ſia ad ML come la grauezza della parte EF alla grauezza della
                <lb/>
              parte AE; & come CA à CM, coſi facciaſi la grauezza di tutta la leua
                <lb/>
              AB alla poſſanza, laquale ſe in D ſarà collocata (pur che DA ſia à piombo
                <emph.end type="italics"/>
                <arrow.to.target n="note205"/>
                <lb/>
                <emph type="italics"/>
              dell'orizonte) peſerà egualmente con la leua; cioè ſoſterrà la leua AB premendo
                <lb/>
              in giù, che biſognaua trouare.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.693.0.0" type="margin">
              <s id="id.2.1.693.1.0">
                <margin.target id="note205"/>
                <emph type="italics"/>
              Per la
                <emph.end type="italics"/>
              13.
                <emph type="italics"/>
              di questo.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.694.0.0" type="main">
              <s id="id.2.1.694.1.0">
                <emph type="italics"/>
              Che ſe la poſſanza ſi haueſſe à porre nel punto B. </s>
              <s id="id.2.1.694.2.0">Facciaſi come CF à CM,
                <lb/>
              coſi il peſo AB alla poſſanza. </s>
              <s id="id.2.1.694.3.0">Con ſimile modo proueraſſi che la poſſanza in
                <lb/>
              B ſoſterrà la leua AB. </s>
              <s id="N14E20">& l'iſteſſo d moſtreraſſi in qualunque altro ſito s'haueſ­
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              ſe à porre la poſſanza, (fuor che in E) come in N. </s>
              <s id="N14E24">peroche facciaſi CO à
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              CM come AB alla poſſanza, laquale ſe ſi porrà in N ſoſtenterà la leua AB.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.695.0.0" type="main">
              <s id="id.2.1.695.1.0">Ma aggiunga ſi il peſo appiccato, ouero poſto nella leua; come,
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              poſte le coſe iſteſſe, fia il peſo P appiccato in A; & la poſ­
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              ſanza s'habbia à porre in B, ſi fattamente che ſoſtenghi la le
                <lb/>
              ua AB inſieme col peſo P. </s>
            </p>
            <p id="id.2.1.696.0.0" type="main">
              <s id="id.2.1.696.1.0">
                <emph type="italics"/>
              Diuidaſi AM in Q, ſi fattamente, che AQ ſia à QM, come la grauezza
                <emph.end type="italics"/>
                <arrow.to.target n="note206"/>
                <lb/>
                <emph type="italics"/>
              della leua AB alla grauezza del peſo P; dapoi come CF à CQ, coſi fac­
                <emph.end type="italics"/>
                <arrow.to.target n="note207"/>
                <lb/>
                <emph type="italics"/>
              ciaſi la grauezza AB, & P inſieme alla poſſanza, la quale pongaſi in B: egli
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              è manifeſto, che la poſſanza in B ſoſterrà la leua AB inſieme co'l peſo P. </s>
              <s id="id.2.1.696.2.0">Che
                <lb/>
              ſe foſſe CA à CM, come AB à P; ſarebbe il punto C il loro centro della
                <lb/>
              grauezza, & perciò la leua AB inſieme co'l peſo P ſenza la poſſanza poſta in </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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