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

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        <div xml:id="echoid-div315" type="section" level="1" n="113">
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              <pb o="158" file="0226" n="248" rhead="CHRISTIANI HUGENII"/>
            ab aliquo angulorum ſuſpendatur, motuque hoc laterali agi-
              <lb/>
              <note position="left" xlink:label="note-0226-01" xlink:href="note-0226-01a" xml:space="preserve">
                <emph style="sc">De centro</emph>
                <lb/>
                <emph style="sc">OSCILLA-</emph>
                <lb/>
                <emph style="sc">TIONIS</emph>
              .</note>
            tetur, pendulum illi iſochronum eſſe {2/3} diagonii totius.</s>
            <s xml:id="echoid-s3561" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div317" type="section" level="1" n="114">
          <head xml:id="echoid-head140" style="it" xml:space="preserve">Centrum oſcillationis Trianguli iſoſcelis.</head>
          <p>
            <s xml:id="echoid-s3562" xml:space="preserve">In triangulo iſoſcele, cujuſmodi C B D, ſpatium appli-
              <lb/>
              <note position="left" xlink:label="note-0226-02" xlink:href="note-0226-02a" xml:space="preserve">TAB.XXIII.
                <lb/>
              Fig. 4.</note>
            candum æquatur parti decimæ octavæ quadrati à diametro
              <lb/>
            B E, & </s>
            <s xml:id="echoid-s3563" xml:space="preserve">vigeſimæ quartæ quadrati baſeos C D. </s>
            <s xml:id="echoid-s3564" xml:space="preserve">Unde, ſi
              <lb/>
            ab angulo baſeos ducatur D G, perpendicularis ſuper latus
              <lb/>
            D B, quæ occurrat productæ diametro B E in G; </s>
            <s xml:id="echoid-s3565" xml:space="preserve">ſitque
              <lb/>
            A centrum gravitatis trianguli; </s>
            <s xml:id="echoid-s3566" xml:space="preserve">diviſoque intervallo G A
              <lb/>
            in quatuor partes æquales, una earum A K apponatur ipſi
              <lb/>
            B A; </s>
            <s xml:id="echoid-s3567" xml:space="preserve">erit B K longitudo penduli iſochroni, ſi triangulum
              <lb/>
            ſuſpendatur ex vetrice B. </s>
            <s xml:id="echoid-s3568" xml:space="preserve">Cum autem ex puncto mediæ ba-
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            ſis E ſuſpenditur, longitudo penduli iſochroni E K æquabi-
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            tur dimidiæ B G.</s>
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            <s xml:id="echoid-s3570" xml:space="preserve">Atque hinc liquet, triangulum iſoſceles rectangulum, ſi
              <lb/>
            ex puncto mediæ baſis ſuſpendatur, iſochronum eſſe pendu-
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            lo longitudinem diametro ſuæ æqualem habenti. </s>
            <s xml:id="echoid-s3571" xml:space="preserve">Similiterque,
              <lb/>
            ſi ſuſpendatur ab angulo ſuo recto, eidem pendulo iſochro-
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            num eſſe.</s>
            <s xml:id="echoid-s3572" xml:space="preserve"/>
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        <div xml:id="echoid-div319" type="section" level="1" n="115">
          <head xml:id="echoid-head141" style="it" xml:space="preserve">Centrum oſcillationis Parabolæ.</head>
          <p>
            <s xml:id="echoid-s3573" xml:space="preserve">In parabolæ portione recta, ſpatium applicandum æqua-
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            tur {12/175} quadrati axis, una cum quinta parte quadrati dimi-
              <lb/>
            diæ baſis. </s>
            <s xml:id="echoid-s3574" xml:space="preserve">Cumque parabola ex verticis puncto ſuſpenſa eſt,
              <lb/>
            invenitur penduli iſochroni longitudo {5/7} axis, atque inſuper
              <lb/>
            {@/3} lateris recti. </s>
            <s xml:id="echoid-s3575" xml:space="preserve">Cum vero ex puncto mediæ baſis ſuſpenditur,
              <lb/>
            erit ea longitudo {4/7} axis, & </s>
            <s xml:id="echoid-s3576" xml:space="preserve">inſuper {1/2} lateris recti.</s>
            <s xml:id="echoid-s3577" xml:space="preserve"/>
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        <div xml:id="echoid-div320" type="section" level="1" n="116">
          <head xml:id="echoid-head142" style="it" xml:space="preserve">Centrum oſcillationis Sectoris circuli.</head>
          <p>
            <s xml:id="echoid-s3578" xml:space="preserve">In circuli ſectore B C D, ſi radius B C vocetur r: </s>
            <s xml:id="echoid-s3579" xml:space="preserve">ſemi
              <lb/>
              <note position="left" xlink:label="note-0226-03" xlink:href="note-0226-03a" xml:space="preserve">TAB.XXIII.
                <lb/>
              Fig. 5.</note>
            arcus C F, p: </s>
            <s xml:id="echoid-s3580" xml:space="preserve">ſemiſubtenſa C E, b: </s>
            <s xml:id="echoid-s3581" xml:space="preserve">fit ſpatium applican-
              <lb/>
            dum æquale {1/2} rr - {4b b r r/9 p p}, hoc eſt, dimidio quadrati B C,
              <lb/>
            minus quadrato B A; </s>
            <s xml:id="echoid-s3582" xml:space="preserve">ponendo A eſſe centrum gravitatis ſe-
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            ctoris. </s>
            <s xml:id="echoid-s3583" xml:space="preserve">Tunc enim B A = {2 b r/3 p}. </s>
            <s xml:id="echoid-s3584" xml:space="preserve">Si autem ſuſpendatur </s>
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