Varignon, Pierre, Projet d' une nouvelle mechanique : avec Un examen de l' opinion de M. Borelli sur les propriétez des poids suspendus par des cordes

Table of Notes

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          <figure number="26">
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        <div xml:id="echoid-div171" type="section" level="1" n="115">
          <head xml:id="echoid-head115" xml:space="preserve">PROPOSITION
            <lb/>
          FONDAMENTALE
            <lb/>
          POUR
            <lb/>
          TOUTES SOR TES DE LEVIERS,</head>
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            <s xml:id="echoid-s1523" xml:space="preserve">De quelque eſpéce, & </s>
            <s xml:id="echoid-s1524" xml:space="preserve">dans quelque ſituation
              <lb/>
            qu’ils ſoient; </s>
            <s xml:id="echoid-s1525" xml:space="preserve">& </s>
            <s xml:id="echoid-s1526" xml:space="preserve">pour toutes les directions
              <lb/>
            poſſibles des puiſſances, ou des poids qui y
              <lb/>
            ſont appliquez.</s>
            <s xml:id="echoid-s1527" xml:space="preserve"/>
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          <p style="it">
            <s xml:id="echoid-s1528" xml:space="preserve">SOIENT les puißances E & </s>
            <s xml:id="echoid-s1529" xml:space="preserve">F appliquées aux points
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              <note position="left" xlink:label="note-0084-01" xlink:href="note-0084-01a" xml:space="preserve">fig 41.
                <lb/>
              42.
                <lb/>
              43.
                <lb/>
              44.
                <lb/>
              45.
                <lb/>
              46.</note>
            O & </s>
            <s xml:id="echoid-s1530" xml:space="preserve">X du Levier MN, de quelque eſpéce, & </s>
            <s xml:id="echoid-s1531" xml:space="preserve">en
              <lb/>
            quelque ſituation qu’il ſoit; </s>
            <s xml:id="echoid-s1532" xml:space="preserve">quelque angle OAX que faſ-
              <lb/>
            ſent auſſi entr’elles, les lignes de direction de ces puiſſances,
              <lb/>
            indéfiniment prolongées vers A: </s>
            <s xml:id="echoid-s1533" xml:space="preserve">Ces deux puißances feroni
              <lb/>
            équilibre ſur le point fixe B de ce levier, par ou paſſe la dia-
              <lb/>
            gonale AG du parallelogramme RS, dont les côtez AS & </s>
            <s xml:id="echoid-s1534" xml:space="preserve">AR
              <lb/>
            ſont entr’eux, comme les puiſſances E, & </s>
            <s xml:id="echoid-s1535" xml:space="preserve">F.</s>
            <s xml:id="echoid-s1536" xml:space="preserve"/>
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            <emph style="sc">Demonstration.</emph>
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            <s xml:id="echoid-s1537" xml:space="preserve">Concevons pour un moment que MAN eſt la
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            figure de ce Levier, & </s>
            <s xml:id="echoid-s1538" xml:space="preserve">qu’au lieu d’être tiré, ou
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            pouſſé par les puiſſances E & </s>
            <s xml:id="echoid-s1539" xml:space="preserve">F, ſon point A ſoit </s>
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