Stelliola, Niccol� Antonio, De gli elementi mechanici, 1597

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    <archimedes>
      <text>
        <pb xlink:href="041/01/005.jpg" pagenum="4"/>
        <body>
          <chap id="N1013B">
            <p id="N1013C" type="head">
              <s id="N1013E">
                <emph type="italics"/>
              PROPOSITIONE.
                <emph.end type="italics"/>
                <lb/>
              I. </s>
            </p>
            <p id="N10146" type="main">
              <s id="N10148">Se ſi togliono due quantità da due altre, che ſiano
                <lb/>
              eguali, e tra di loro, & alla compoſta delle due tolte: di­
                <lb/>
              co che le reſtanti alle tolte ſcambieuolmente ſono egua­
                <lb/>
              li. </s>
            </p>
            <figure id="id.041.01.005.1.jpg" xlink:href="041/01/005/1.jpg" number="4"/>
            <p id="N10153" type="head">
              <s id="N10155">
                <emph type="italics"/>
              Dimoſtratione.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N1015B" type="main">
              <s id="N1015D">
                <emph type="italics"/>
              Siano le due quantità, A & B, & alla compoſta di ambe ſiano egua
                <lb/>
              li, la C D, & la E F; e dalla C D, togliaſi eguale ad A, che ſia,
                <lb/>
              C G, e dalla E F togliaſi eguale a B, che ſia E H. </s>
              <s id="N10165">dico che la reſtan­
                <lb/>
              te H F, è vguale ad A; e la G D, eguale a B. </s>
              <s id="N10169">Si moſtra perciò
                <lb/>
              che eſſendo C D, eguale ad A e B inſieme: tolti dall'vna e l'altra ſum­
                <lb/>
              ma le A, e C G eguali: le reſtanti, B, e G D di conſeguenza ſo­
                <lb/>
              no eguali. </s>
              <s id="N10171">Similmente perche la E F ſi pone vguale alle A, & B
                <lb/>
              gionte inſieme; tolte la E H, & B vguali: le reſtanti, H F, e A ſo­
                <lb/>
              no di conſeguenza eguali. </s>
              <s id="N10177">è adunque la H F eguale a C G: e la G D
                <lb/>
              eguale ad E H. </s>
              <s id="N1017B">il che hauea da moſtrarſi.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N1017F" type="head">
              <s id="N10181">
                <emph type="italics"/>
              Appendice.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N10187" type="main">
              <s id="N10189">Dalche è manifeſto, che le iſteſſe reſtanti ſcambieuol­
                <lb/>
              mente ſono proportionali alle tolte. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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