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.2.1.119.0.0" type="main">
              <s id="id.2.1.119.10.0">
                <pb xlink:href="037/01/028.jpg"/>
                <emph type="italics"/>
              nella CE douer eſſere, auerrà l'iſteſſo fallo.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.121.0.0" type="margin">
              <s id="id.2.1.121.1.0">
                <margin.target id="note9"/>
                <emph type="italics"/>
              Per la ſeconda ſupposta di questo.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.122.0.0" type="margin">
              <s id="id.2.1.122.1.0">
                <margin.target id="note10"/>
                <emph type="italics"/>
              Per la quarta del primo di Archime de delle coſe che peſano egualmente.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.123.0.0" type="main">
              <s id="id.2.1.123.1.0">
                <emph type="italics"/>
              Di più ſe il peſo D ſi mouerà in giù, mouerà il peſo E in sù. </s>
              <s id="id.2.1.123.2.0">Adunque vn peſo
                <lb/>
              più graue di E nel medeſimo ſito peſerà tanto quanto il peſo D, & auerrà che
                <lb/>
              coſe graui diſuguali, poſte in eguale distanza peſeranno egualmente. </s>
              <s id="id.2.1.123.3.0">Aggiun­
                <lb/>
              gaſi dunque al peſo E qualche coſa graue, ſi fattamente, che contrapeſi al D ſe
                <lb/>
              nel C ſaranno attac
                <lb/>
              cati. </s>
              <s id="id.2.1.123.4.0">Ma eſſendo ſta­
                <lb/>
              to di ſopra moſtrato
                <lb/>
              il punto C eſſere il cẽ­
                <emph.end type="italics"/>
                <lb/>
                <arrow.to.target n="note11"/>
                <emph type="italics"/>
              tro della grauezza di
                <lb/>
              peſi eguali poſti in
                <lb/>
              DE; ſe dunque il pe­
                <lb/>
              ſo. </s>
              <s id="id.2.1.123.5.0">E ſarà più graue
                <lb/>
              del peſo D, ſarà anche
                <lb/>
              il centro della grauez
                <lb/>
              za nella linea C E. </s>
              <s id="id.2.1.123.6.0">& ſia queſto centro
                <lb/>
              il
                <emph.end type="italics"/>
              K. </s>
              <s id="N10C55">
                <emph type="italics"/>
              Ma per la diffi­
                <lb/>
              nitione del centro del
                <lb/>
              la grauezza, ſe li peſi
                <lb/>
              ſaranno appiccati al
                <emph.end type="italics"/>
                <lb/>
              K,
                <emph type="italics"/>
              staranno fermi.
                <lb/>
              </s>
              <s id="id.2.1.123.7.0">Dunque ſe ſaranno
                <emph.end type="italics"/>
                <lb/>
                <figure id="id.037.01.028.1.jpg" xlink:href="037/01/028/1.jpg" number="12"/>
                <lb/>
                <emph type="italics"/>
              appiccati al C, non ſtaranno fermi, che è contra la preſuppoſta: ma il peſo E ſi
                <emph.end type="italics"/>
                <lb/>
                <arrow.to.target n="note12"/>
                <emph type="italics"/>
              mouerà in giù. </s>
              <s id="id.2.1.123.8.0">Che ſe appiccati al C peſaſſero ancora egualmente, naſcerebbe
                <lb/>
              che di vna magnitudine, due ſarebbono i centri della grauezza, che è impoſſibile.
                <lb/>
              </s>
              <s id="id.2.1.123.9.0">Adunque il peſo poſto in E più graue di quello che è in D, non peſerà tanto
                <lb/>
              quanto il D attaccandoſi al punto C. </s>
              <s id="id.2.1.123.10.0">I peſi dunque eguali poſti in DE, attac­
                <lb/>
              cati nel centro della loro grauezza peſeranno egualmente, & ſtaranno immobili,
                <lb/>
              che ſu proposto di moſtrare.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.125.0.0" type="margin">
              <s id="id.2.1.125.1.0">
                <margin.target id="note11"/>
                <emph type="italics"/>
              Per la terza del primo di Archimede delle coſe che peſano egualmente.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.126.0.0" type="margin">
              <s id="id.2.1.126.1.0">
                <margin.target id="note12"/>
                <emph type="italics"/>
              Per la prima ſupposta di questo.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.127.0.0" type="main">
              <s id="id.2.1.127.1.0">
                <arrow.to.target n="note13"/>
                <emph type="italics"/>
              A queſta vltima ſconueneuolezza riſpondono, dicendo eſſere impoſſibile aggiungere al
                <lb/>
              lo E ſi picciolo peſo, che in ogni modo ſe ben ſi appiccano al C, il peſo E non
                <lb/>
              ſi moua ſempre in giù verſo il G. </s>
              <s id="id.2.1.127.2.0">La qual coſa habbiamo noi preſuppoſto poterſi
                <lb/>
              fare, & credeuamo poterſi fare: Peroche quel che è di più del peſo D ſopra
                <lb/>
              il peſo E, hauendo ragione, & parte di quantità, ſi imaginauamo non ſolamente
                <lb/>
              eſſere minimo, ma ancora poterſi diuidere in infinito, il che eßi per certo non ſola­
                <lb/>
              mente minimo, ma ne anche eſſere minimo, non potendoſi ritrouare, ſi sforzano di
                <lb/>
              moſtrare in queſta maniera.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.129.0.0" type="margin">
              <s id="id.2.1.129.1.0">
                <margin.target id="note13"/>
                <emph type="italics"/>
              Il Tartaglia nella ſesta propoſitione del quarto libro.
                <emph.end type="italics"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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