DelMonte, Guidubaldo, Le mechaniche

Table of figures

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        <body id="id.2.0.0.0.0">
          <chap id="N13354">
            <p id="id.2.1.482.0.0" type="main">
              <s id="id.2.1.482.8.0">
                <pb pagenum="39" xlink:href="037/01/093.jpg"/>
                <emph type="italics"/>
              verſo la circonferenza BF, coſi è il diametro del cerchio AGE al diametro del
                <emph.end type="italics"/>
                <arrow.to.target n="note141"/>
                <lb/>
                <emph type="italics"/>
              cerchio BHF: ma come il diametro al diametro, coſi è anche il mezo diametro al
                <lb/>
              mezo diametro, cioè CA à CB. </s>
              <s id="id.2.1.482.9.0">Per laqual coſa come la circonferenza AE
                <lb/>
              alla circonferenza BF, coſi CA à CB: ma la circonferenza AE è lo
                <lb/>
              ſpatio della poſſanza moſſa, & la circonferenza BF è eguale allo ſpatio di D pe­
                <lb/>
              ſo moſſo, peroche lo ſpatio del mouimento del peſo D ſempre è eguale allo ſpatio
                <lb/>
              del mouimento del punto B, per eſſere attaccato in B. </s>
              <s id="id.2.1.482.10.0">Lo ſpatio dunque della poſ
                <lb/>
              ſanza moſſa allo ſpatio del peſo moſſo è come CA à CB; cioè come la diſtan­
                <lb/>
              za dal ſoſtegno alla poſſanza, alla distanza dall'iſteſſo all'appiccamento del peſo.
                <lb/>
              </s>
              <s id="id.2.1.482.11.0">che biſognaua moſtrare.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.484.0.0" type="margin">
              <s id="id.2.1.484.1.0">
                <margin.target id="note137"/>
                <emph type="italics"/>
              Per la
                <emph.end type="italics"/>
              15.
                <emph type="italics"/>
              del primo.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.485.0.0" type="margin">
              <s id="id.2.1.485.1.0">
                <margin.target id="note138"/>
                <emph type="italics"/>
              Per la
                <emph.end type="italics"/>
              26.
                <emph type="italics"/>
              del terzo.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.486.0.0" type="margin">
              <s id="id.2.1.486.1.0">
                <margin.target id="note139"/>
                <emph type="italics"/>
              Per la
                <emph.end type="italics"/>
              16.
                <emph type="italics"/>
              del
                <emph.end type="italics"/>
              15. </s>
            </p>
            <p id="id.2.1.487.0.0" type="margin">
              <s id="id.2.1.487.1.0">
                <margin.target id="note140"/>
                <emph type="italics"/>
              Per la
                <emph.end type="italics"/>
              23.
                <emph type="italics"/>
              del
                <emph.end type="italics"/>
              8.
                <emph type="italics"/>
              di Pappo.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.488.0.0" type="margin">
              <s id="id.2.1.488.1.0">
                <margin.target id="note141"/>
                <emph type="italics"/>
              Per la
                <emph.end type="italics"/>
              11.
                <emph type="italics"/>
              del quinto.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.489.0.0" type="main">
              <s id="id.2.1.489.1.0">
                <emph type="italics"/>
              Ma ſia la leua AB, il cui ſoſtegno B, & la poſſanza mouente in A, & il peſo
                <lb/>
              in C. </s>
              <s id="id.2.1.489.2.0">Dico lo ſpatio della poſſanza moſſa allo ſpatio del peſo traſportato coſi eſ­
                <lb/>
              ſere, come BA à BC.
                <lb/>
              </s>
              <s id="id.2.1.489.3.0">Mouaſi la leua, & accioche
                <lb/>
              il peſo ſia alzato in sù, egli
                <lb/>
              è neceſſario, che anche i pun
                <lb/>
              ti CA ſi mouano in sù.
                <lb/>
              </s>
              <s id="id.2.1.489.4.0">Mouaſi dunque A in sù
                <lb/>
              fin'in D; & ſia il mouimen
                <lb/>
              to della leua BD. </s>
              <s id="id.2.1.489.5.0">moſtre­
                <lb/>
              remo nel modo iſteſſo, come
                <lb/>
              prima è detto, che i punti
                <lb/>
              CA deſcriuono circonferen
                <lb/>
              ze di cerchi, i cui mezi dia­
                <lb/>
              metri ſono BA BC. </s>
              <s id="N13A0F">& di­
                <lb/>
              moſtreremo ſimilmente coſi
                <lb/>
              eſſere AD à CE, come il
                <lb/>
              mezo diametro AB al me­
                <lb/>
              zo diametro BC.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.490.0.0" type="main">
              <s id="id.2.1.490.1.0">
                <emph type="italics"/>
              Et per la ragione iſteſſa, ſe la
                <lb/>
              poſſanza foſſe in C, & il
                <lb/>
              peſo in A ſi prouerà coſi
                <lb/>
              eſſere CE verſo AD, co­
                <emph.end type="italics"/>
                <lb/>
                <figure id="id.037.01.093.1.jpg" xlink:href="037/01/093/1.jpg" number="87"/>
                <lb/>
                <emph type="italics"/>
              me BC à BA, cioè la diſtanza dal ſoſtegno alla poſſanza; alla diſtanza dal­
                <lb/>
              l'isteſſo allo attaccamento del peſo. </s>
              <s id="id.2.1.490.2.0">che biſognaua moſtrare.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.492.0.0" type="head">
              <s id="id.2.1.492.1.0">COROLLARIO. </s>
            </p>
            <p id="id.2.1.493.0.0" type="main">
              <s id="id.2.1.493.1.0">Da queſte coſe è manifeſto, che maggiore proportione ha lo ſpa
                <lb/>
              tio della poſſanza, che moue allo ſpatio del peſo moſſo, che il
                <lb/>
              peſo alla medeſima poſſanza. </s>
            </p>
          </chap>
        </body>
      </text>
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