DelMonte, Guidubaldo, Le mechaniche

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    <archimedes>
      <text id="id.0.0.0.0.3">
        <body id="id.2.0.0.0.0">
          <chap id="N106DF">
            <p id="id.2.1.279.0.0" type="main">
              <s id="id.2.1.279.3.0">
                <pb pagenum="33" xlink:href="037/01/081.jpg"/>
                <emph type="italics"/>
              altro H, ilquale ſia appiccato in B: i peſi HF peſeranno egualmente de A.
                <emph.end type="italics"/>
                <arrow.to.target n="note92"/>
                <lb/>
              </s>
              <s id="N130DA">
                <emph type="italics"/>
              Ma eſſendo i peſi FG eguali, haurà il peſo H verſo il peſo G la proportione me
                <lb/>
              deſima, che ha ad F. </s>
              <s id="id.2.1.279.4.0">Come dunque CA verſo AB, coſi è H verſo G: &
                <lb/>
              come H verſo G, coſi è la grauezza di H alla grauezza di G, per eſſere attac
                <lb/>
              cati nell iſteſſo punto B. </s>
              <s id="id.2.1.279.5.0">Per laqual coſa come CA ad AB, coſi la grauezza
                <lb/>
              del peſo H alla grauezza del peſo G. </s>
              <s id="id.2.1.279.6.0">Et concioſia che la grauezza del peſo F
                <lb/>
              attacato in G ſia
                <emph.end type="italics"/>
                <arrow.to.target n="note93"/>
                <lb/>
                <emph type="italics"/>
              eguale alla grauez­
                <lb/>
              za del peſo H attac
                <lb/>
              cato in B, ſarà la
                <lb/>
              grauezza del peſo F
                <lb/>
              verſo la grauezza
                <lb/>
              del peſo G, come
                <lb/>
              CA verſo AB,
                <lb/>
              cioè come la diſtan­
                <lb/>
              za alla diſtanza, che
                <lb/>
              biſognaua mostrare.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.280.0.0" type="margin">
              <s id="id.2.1.280.1.0">
                <margin.target id="note92"/>
                <emph type="italics"/>
              Per la
                <emph.end type="italics"/>
              6.
                <emph type="italics"/>
              del prime di Archimede delle coſe che peſano egualmente.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.281.0.0" type="margin">
              <s id="id.2.1.281.1.0">
                <margin.target id="note93"/>
                <emph type="italics"/>
              Per la
                <emph.end type="italics"/>
              7.
                <emph type="italics"/>
              del quinto.
                <emph.end type="italics"/>
              </s>
            </p>
            <figure id="id.037.01.081.1.jpg" xlink:href="037/01/081/1.jpg" number="72"/>
            <p id="id.2.1.283.0.0" type="main">
              <s id="id.2.1.283.1.0">
                <emph type="italics"/>
              Ma ſe la bilancia BAC foſſe tagliata, come ſi vuole in D, & appicchinſi in DC
                <lb/>
              i peſi EF eguali. </s>
              <s id="id.2.1.283.2.0">Dico ſimilmente coſi eſſere la grauezza del peſo F alla gra­
                <lb/>
              uezza del peſo E, come la diſtanza CA alla diſtanza AD. </s>
              <s id="id.2.1.283.3.0">Facciaſi AB
                <lb/>
              eguale ad AD
                <lb/>
              & ſia appicca­
                <lb/>
              to in B il peſo
                <lb/>
              G eguale al pe
                <lb/>
              ſo E, & al pe
                <lb/>
              ſo F. </s>
              <s id="id.2.1.283.4.0">Hor
                <lb/>
              percioche AB
                <lb/>
              è eguale ad A
                <lb/>
              D; i peſi GE
                <emph.end type="italics"/>
                <lb/>
                <figure id="id.037.01.081.2.jpg" xlink:href="037/01/081/2.jpg" number="73"/>
                <lb/>
                <emph type="italics"/>
              peſeranno egualmente. </s>
              <s id="id.2.1.283.5.0">Ma per eſſere la grauezza del peſo F verſo la grauezza
                <lb/>
              del peſo G, come CA ad AB, & la grauezza del peſo E ſia eguale alla
                <lb/>
              grauezza del peſo G; ſarà la grauezza del peſo F verſo la grauezza del peſo E,
                <lb/>
              come CA ad AB, cioè CA ad AD, che biſognaua moſtrare.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.285.0.0" type="head">
              <s id="id.2.1.285.1.0">COROLLARIO. </s>
            </p>
            <p id="id.2.1.286.0.0" type="main">
              <s id="id.2.1.286.1.0">Da queſto è manifeſto, che quanto il peſo è piu diſtante dal centro
                <lb/>
              della bilancia, tanto egli è anco piu graue, & per conſeguente mo­
                <lb/>
              uerſi piu velocemente. </s>
            </p>
            <p id="id.2.1.287.0.0" type="main">
              <s id="id.2.1.287.1.0">Quinci oltre à ciò ſi moſtrerà facilmente anche la ragione della Sta­
                <lb/>
              dera. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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