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.2.1.130.0.0" type="main">
              <s id="id.2.1.130.11.0">
                <pb xlink:href="037/01/030.jpg"/>
                <emph type="italics"/>
              HDG. </s>
              <s id="id.2.1.130.12.0">Daraſſi dunque la proportione anco minore della minima, laquale mostre­
                <lb/>
              remo dauantaggio in infinito minore in questo modo. </s>
              <s id="id.2.1.130.13.0">Deſcriuaſi il cerchio DR,
                <lb/>
              il cui centro ſia E, & il mezo diametro ED, la circonferentia DR tocche­
                <emph.end type="italics"/>
                <lb/>
                <arrow.to.target n="note18"/>
                <emph type="italics"/>
              rà la circonferenza
                <lb/>
              DG nel punto D,
                <lb/>
              & la linea DO nel
                <emph.end type="italics"/>
                <lb/>
                <arrow.to.target n="note19"/>
                <emph type="italics"/>
              punto D. </s>
              <s id="id.2.1.130.14.0">Per laqual
                <lb/>
              coſa minore ſarà l'an
                <lb/>
              golo RDG dell'an­
                <lb/>
              golo ODG, & ſi­
                <lb/>
              milmente l'angolo R
                <lb/>
              DH dell'angolo O
                <lb/>
              DH. </s>
              <s id="id.2.1.130.15.0">Adunque ha­
                <lb/>
              uerà minore propor­
                <lb/>
              tione RDH ad HD
                <lb/>
              G di quel che haurà
                <lb/>
              ODH ad HDG.
                <lb/>
              </s>
              <s id="id.2.1.130.16.0">Pigliſi dapoi tra E
                <lb/>
              & C, come ſi vuo­
                <lb/>
              le, il punto P, dal
                <lb/>
              quale nella diſtanza
                <emph.end type="italics"/>
                <lb/>
                <figure id="id.037.01.030.1.jpg" xlink:href="037/01/030/1.jpg" number="14"/>
                <lb/>
                <emph type="italics"/>
              di PD ſi deſcriua vn'altra circonferenza DQ, laquale toccherà la circonferen­
                <lb/>
              tia DR, & la circonferentia DG nel punto D, & l'angolo QDH ſarà mi
                <lb/>
              nore dell'angolo RDH. </s>
              <s id="id.2.1.130.17.0">Adunque QDH haurà proportione minore ad HDG
                <lb/>
              che RDH ad HDG, & nell'iſteſſo modo in tutto, ſe tra il C & il P ſi tor­
                <lb/>
              rà vn'altro punto, & tra queſto, & il C vn'altro, & coſi ſucceßiuamente ſi de­
                <lb/>
              ſcriueranno infinite circonferentie tra DO, & la circonferenza DG: dalle quali
                <lb/>
              troueremo ſempre la proportione minore in infinito: & coſi ſegue, che la propor­
                <lb/>
              tione del peſo poſto in D al peſo poſto in E non ſia tanto picciola, che non ſi
                <lb/>
              poſſa ritrouarla ſempre minore in infinito. </s>
              <s id="id.2.1.130.18.0">Et perche l'angolo MDG ſi puote
                <lb/>
              diuidere in infinito, ſi potrà anche diuidere quel più di grauezza che ha il D ſo­
                <lb/>
              pra lo E in infinito.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.134.0.0" type="margin">
              <s id="id.2.1.134.1.0">
                <margin.target id="note14"/>
                <emph type="italics"/>
              Per la ſeconda del terzo.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.135.0.0" type="margin">
              <s id="id.2.1.135.1.0">
                <margin.target id="note15"/>
                <emph type="italics"/>
              Per la vigeſimanona del primo.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.136.0.0" type="margin">
              <s id="id.2.1.136.1.0">
                <margin.target id="note16"/>
                <emph type="italics"/>
              Per la deci­ma ottaua del terzo.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.137.0.0" type="margin">
              <s id="id.2.1.137.1.0">
                <margin.target id="note17"/>
                <emph type="italics"/>
              Per la ottaua del quinto.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.138.0.0" type="margin">
              <s id="id.2.1.138.1.0">
                <margin.target id="note18"/>
                <emph type="italics"/>
              Per la vndecima del terzo.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.139.0.0" type="margin">
              <s id="id.2.1.139.1.0">
                <margin.target id="note19"/>
                <emph type="italics"/>
              Per la decima ottaua del terzo.
                <emph.end type="italics"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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