DelMonte, Guidubaldo, Le mechaniche

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        <body id="id.2.0.0.0.0">
          <chap id="N13354">
            <p id="id.2.1.682.0.0" type="main">
              <s id="id.2.1.682.2.0">
                <pb xlink:href="037/01/124.jpg"/>
                <arrow.to.target n="note203"/>
                <emph type="italics"/>
              in E ſoſterrebbe i peſi ABC. </s>
              <s id="id.2.1.682.3.0">pigliſi dunque tra LF qualunque punto come
                <lb/>
              M, & facciaſi M il ſoſtegno: egli è manifeſto, che la poſſanza poſta in E co­
                <emph.end type="italics"/>
                <lb/>
                <figure id="id.037.01.124.2.jpg" xlink:href="037/01/124/2.jpg" number="122"/>
                <lb/>
                <arrow.to.target n="note204"/>
                <emph type="italics"/>
              me trenta mouerài peſi ABC come cento ottanta con la leua DE. </s>
              <s id="N14D57">che biſo­
                <lb/>
              gnaua moſtrare.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.685.0.0" type="margin">
              <s id="id.2.1.685.1.0">
                <margin.target id="note203"/>
                <emph type="italics"/>
              Per la
                <emph.end type="italics"/>
              13.
                <emph type="italics"/>
              di questo.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.686.0.0" type="margin">
              <s id="id.2.1.686.1.0">
                <margin.target id="note204"/>
                <emph type="italics"/>
              Per la
                <emph.end type="italics"/>
              11.
                <emph type="italics"/>
              di questo.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.687.0.0" type="main">
              <s id="id.2.1.687.1.0">
                <emph type="italics"/>
              Ma ciò non potremo già vniuerſalmente menare ad effetto, ſe il ſoſtegno foſſe nelle
                <lb/>
              ſtremità della leua, come in D; peroche la proportione di DE à DL, cioè la
                <lb/>
              proportione de' peſi ABC alla poſſanza, laquale ha da ſoſtenere i peſi ſempre
                <lb/>
              è data. </s>
              <s id="id.2.1.687.2.0">Laqual coſa molto meno anco ſi potrebbe fare, ſe la poſſanza ſi haueſſe
                <lb/>
              à porre tra DL.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.688.0.0" type="head">
              <s id="id.2.1.688.1.0">PROPOSITIONE XV. </s>
            </p>
            <p id="id.2.1.689.0.0" type="head">
              <s id="id.2.1.689.1.0">PROBLEMA. </s>
            </p>
            <p id="id.2.1.690.0.0" type="main">
              <s id="id.2.1.690.1.0">Ma percioche mentre i peſi ſi mouono con la leua, ha la leua an­
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              cora grauezza, della quale infin qui non ſi è fatto mentione
                <lb/>
              alcuna: però dimoſtriamo primieramente in che modo ſi tro
                <lb/>
              ui la poſſanza, la quale ſoſtenga nel dato punto la leua data, il
                <lb/>
              cui ſoſtegno ſia parimente dato. </s>
            </p>
            <p id="id.2.1.691.0.0" type="main">
              <s id="id.2.1.691.1.0">
                <emph type="italics"/>
              Sia la leua data AB, il cui ſoſtegno C ſia dato: & ſia il punto D nelquale ſi hab
                <lb/>
              bia à collocare la poſſanza, che debba ſoſtentare la leua AB, ſi fattamente che
                <lb/>
              reſti immobile. </s>
              <s id="id.2.1.691.2.0">ſia dal punto C tirata la linea CE à piombo dell'orizonte la
                <lb/>
              quale diuida la leua AB in due parti AE EF; & della parte AE ſia il
                <lb/>
              centro G della grauezza, & della parte EF il centro del'a grauezza ſia H,
                <lb/>
              & dai punti GH ſiano tirate le linee GK HL à piombo de gli orizonti, le
                <emph.end type="italics"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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