Huygens, Christiaan, Christiani Hugenii opera varia; Bd. 1: Opera mechanica

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          <p>
            <s xml:id="echoid-s2801" xml:space="preserve">
              <pb o="123" file="0181" n="198" rhead="HOROLOG. OSCILLATOR."/>
            ſuo ipſorum æquilibrio, translata appareat. </s>
            <s xml:id="echoid-s2802" xml:space="preserve">quod erat oſten-
              <lb/>
              <note position="right" xlink:label="note-0181-01" xlink:href="note-0181-01a" xml:space="preserve">
                <emph style="sc">De centr@</emph>
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                <emph style="sc">OSCILLA-</emph>
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                <emph style="sc">TIONIS.</emph>
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            dendum. </s>
            <s xml:id="echoid-s2803" xml:space="preserve">Eademque de quotcunque aliis eſt demonſtratio.</s>
            <s xml:id="echoid-s2804" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2805" xml:space="preserve">Hæc autem hypotheſis noſtra ad liquida etiam corpora
              <lb/>
            valet, ac per eam non ſolum omnia illa, quæ de innatanti-
              <lb/>
            bus habet Archimedes, demonſtrari poſſunt, ſed & </s>
            <s xml:id="echoid-s2806" xml:space="preserve">alia ple-
              <lb/>
            raque Mechanicæ theoremata. </s>
            <s xml:id="echoid-s2807" xml:space="preserve">Et ſanè, ſi hac eadem uti
              <lb/>
            ſcirent novorum operum machinatores, qui motum perpe-
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            tuum irrito conatu moliuntur, facile ſuos ipſi errores depre-
              <lb/>
            henderent, intelligerentque rem eam mechanica ratione haud-
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            quaquam poſſibilem eſſe.</s>
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        <div xml:id="echoid-div233" type="section" level="1" n="88">
          <head xml:id="echoid-head114" xml:space="preserve">II.</head>
          <p style="it">
            <s xml:id="echoid-s2809" xml:space="preserve">Remoto aëris, alioque omni impedimento mani-
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            feſto, quemadmodum in ſequentibus demonſtratio-
              <lb/>
            nibus id intelligivolumus, centrum gravitatis pen-
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            duli agitati, æquales arcus deſcendendo ac aſcen-
              <lb/>
            dendo percurrere.</s>
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          </p>
          <p>
            <s xml:id="echoid-s2811" xml:space="preserve">De pendulo ſimplici hoc demonſtratum eſt propoſitione 9
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            de Deſcenſu gravium. </s>
            <s xml:id="echoid-s2812" xml:space="preserve">Idem vero & </s>
            <s xml:id="echoid-s2813" xml:space="preserve">de compoſito tenendum
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            eſſe declarat experientia; </s>
            <s xml:id="echoid-s2814" xml:space="preserve">ſiquidem, quæcunque fuerit pen-
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            duli figura, æque apta continuando motui reperitur, niſi in
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            quantum plus minusve aëris objectu impeditur.</s>
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        <div xml:id="echoid-div234" type="section" level="1" n="89">
          <head xml:id="echoid-head115" xml:space="preserve">PROPOSITIO I.</head>
          <p style="it">
            <s xml:id="echoid-s2816" xml:space="preserve">POnderibus quotlibet ad eandem partem plani
              <lb/>
            exiſtentibus, ſi à ſingulorum centris gravitatis
              <lb/>
            agantur in planum illud perpendiculares; </s>
            <s xml:id="echoid-s2817" xml:space="preserve">hæ ſin-
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            gulæ in ſua pondera ductæ, tantundem ſimul effi-
              <lb/>
            cient, ac perpendicularis, à centro gravitatis pon-
              <lb/>
            derum omnium in planum idem cadens, ducta in
              <lb/>
            pondera omnia.</s>
            <s xml:id="echoid-s2818" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2819" xml:space="preserve">Sint pondera A, B, C, ſita ad eandem partem plani,
              <lb/>
              <note position="right" xlink:label="note-0181-02" xlink:href="note-0181-02a" xml:space="preserve">TAB. XVII@
                <lb/>
              Fig. 1.</note>
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