Galilei, Galileo, Les méchaniques, 1634

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[Figure 31]
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            <p type="main">
              <s id="s.000210">
                <pb pagenum="41" xlink:href="047/01/061.jpg"/>
              eſt attaché à F. </s>
              <s id="s.000211">Mais quand la force D
                <lb/>
              ſouſtient la moitié du fardeau par le
                <lb/>
              moyen du leuier CD, elle a meſme
                <lb/>
              proportion à G que CD à CF, c'eſt à
                <lb/>
              dire ſouz double, donc le
                <expan abbr="momẽt">moment</expan>
              D eſt
                <lb/>
              double du moment de la moitié du
                <lb/>
              poids G qu'il ſouſtient, donc il eſt le
                <lb/>
              quart du moment des poids entier. </s>
            </p>
            <p type="main">
              <s id="s.000212">L'on demonſtre la meſme choſe du
                <lb/>
              moment B, de ſorte qu'il eſt raiſonna­
                <lb/>
              ble que le poids eſtant également ſou­
                <lb/>
              ſtenu par les 4 poulies qui ſe voyent
                <lb/>
              dans cette autre figure, chacune porte
                <lb/>
              la quatrieſme partie du fardeau: ce que
                <lb/>
              ie monſtre en cette maniere. </s>
            </p>
            <p type="main">
              <s id="s.000213">Que le poids X ſoit attaché au point
                <lb/>
              K par le moyen du mouffle KX, ie dy
                <lb/>
              que la force égale à la quatrieſme par­
                <lb/>
              tie du fardeau X, le ſouſtiendra, car ſi
                <lb/>
              l'on s'imagine que les deux diametres
                <lb/>
              BA & DE ſoient deux leuiers ſembla­
                <lb/>
              bles à ceux que nous auons expliquez
                <lb/>
              dans la figure precedente, & que le far­
                <lb/>
              deau ſoit ſuſpendu aux points CEF,
                <expan abbr="l'õ">l'on</expan>
                <lb/>
              trouuera que les appuis, ou les ſupports
                <lb/>
              deſdits leuiers répondent aux points D
                <lb/>
              & A, conſequemment que la force ap­
                <lb/>
              pliquée en B ou en E ſouſtiendra le </s>
            </p>
          </chap>
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