Galilei, Galileo, Les méchaniques, 1634

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.000185">
                <pb pagenum="33" xlink:href="047/01/053.jpg"/>
              chaniques. </s>
              <s id="s.000186">Or le leuier, dont nous
                <lb/>
              auons parlé, ſuppoſe que le poids ſoit
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              à l'vne de ſes extremitez, & la force à
                <lb/>
              l'autre; de ſorte que ſon ſouſtien doit
                <lb/>
              eſtre entre ſes deux extremitez. </s>
              <s id="s.000187">Mais
                <lb/>
              ſi l'on met le ſouſtien à l'extremité du
                <lb/>
              leuier, & la force à l'autre extremité C,
                <lb/>
              & que le point D ſoit attaché à quelque
                <lb/>
              point du milieu: par exemple, au point
                <lb/>
              B, il eſt certain que ſi le poids eſt égale­
                <lb/>
              ment éloigné des deux extremes, com­
                <lb/>
              me quand il eſt au point F, que la force
                <lb/>
              qui le ſouſtient en F ſera également di­
                <lb/>
              uiſée: & par conſequent la moitié du
                <lb/>
              poids eſt ſouſtenuë par C, & l'autre
                <lb/>
              moitié par A. </s>
            </p>
            <p type="main">
              <s id="s.000188">S'il arriue que le fardeau ſoit attaché
                <lb/>
              ailleurs, par exemple en B, la force C
                <lb/>
              ſouſtiendra le fardeau en B, quand il
                <lb/>
              aura meſme proportion auec la dite for­
                <lb/>
              ce, que la diſtance AC à la
                <expan abbr="diſtãce">diſtance</expan>
              BA. </s>
              <s id="s.000189">
                <lb/>
              Mais pour comprendre cecy, il faut
                <lb/>
              s'imaginer que la ligne BA ſoit prolon­
                <lb/>
              gee en G, & que les diſtances BA, AG
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              ſoient égales, & que le fardeau ſoit at­
                <lb/>
              taché au point C, & qu'il ſoit égal au
                <lb/>
              poids D, il eſt certain qu'à cauſe de l'é­
                <lb/>
              galité des poids E, D, & des diſtances </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>