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

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            <s xml:id="echoid-s5388" xml:space="preserve">
              <pb o="246" file="0324" n="351" rhead="DE CENTRO OSCILL."/>
            tuis demonſtrationibus, idque inſervire poſſe tollendo
              <lb/>
            D
              <emph style="super">ni</emph>
            Bernoulli dubio, per me licet publici juris fieri has lit-
              <lb/>
            teras, ſed ſimul peto, ut iisdem obſervationes tuas ſubjun-
              <lb/>
            gere digneris, & </s>
            <s xml:id="echoid-s5389" xml:space="preserve">perſuaſum habeas me a judicio tuo non
              <lb/>
            provocaturum, quod procul dubio doctum ſimul clariſſimum
              <lb/>
            & </s>
            <s xml:id="echoid-s5390" xml:space="preserve">æquiſſimum futurum eſt: </s>
            <s xml:id="echoid-s5391" xml:space="preserve">ſum ex animo & </s>
            <s xml:id="echoid-s5392" xml:space="preserve">c.</s>
            <s xml:id="echoid-s5393" xml:space="preserve"/>
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        <div xml:id="echoid-div442" type="section" level="1" n="181">
          <head xml:id="echoid-head227" xml:space="preserve">XII.</head>
          <head xml:id="echoid-head228" style="it" xml:space="preserve">Obſervationes D
            <emph style="super">ni</emph>
          Hugenii in liter as præcedentes &
            <lb/>
          in relationem D
            <emph style="super">ni</emph>
          Bernoulli, cujus in iis fit mentio.</head>
          <p>
            <s xml:id="echoid-s5394" xml:space="preserve">Semper credidi difficile eſſe inventu centrum Oſcillationis
              <lb/>
            alia methodo, quam quâ ipſe uſus ſum; </s>
            <s xml:id="echoid-s5395" xml:space="preserve">neminem quo-
              <lb/>
            que vidi, qui id proſpero ſucceſſu tentârit, ſive reſpectu ſo-
              <lb/>
            lutionis generalis, ſive in caſu pendulorum compoſitorum,
              <lb/>
            quorum pondera ſunt in lineâ recta cum puncto ſuſpenſionis.
              <lb/>
            </s>
            <s xml:id="echoid-s5396" xml:space="preserve">Hunc caſum D
              <emph style="super">nus</emph>
            Marchio de l’Hôpital ſibi poſt plures alias
              <lb/>
            propoſuit, & </s>
            <s xml:id="echoid-s5397" xml:space="preserve">primus, quod vere poſſum dicere, ſperatum
              <lb/>
            ſortitus eſt eventum; </s>
            <s xml:id="echoid-s5398" xml:space="preserve">nam D
              <emph style="super">i</emph>
            . </s>
            <s xml:id="echoid-s5399" xml:space="preserve">Walliſius, Mariotte, & </s>
            <s xml:id="echoid-s5400" xml:space="preserve">Pa-
              <lb/>
            ter Deſchales quæſiverunt tantum centrum Percuſſionis, nec
              <lb/>
            potuerunt demonſtrare idem eſſe cum Centro Oſcillationis,
              <lb/>
            licet id revera ita ſe habeat.</s>
            <s xml:id="echoid-s5401" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5402" xml:space="preserve">Cæterum licet demonſtratio Domini Marchionis valida ſit
              <lb/>
            & </s>
            <s xml:id="echoid-s5403" xml:space="preserve">legitima, & </s>
            <s xml:id="echoid-s5404" xml:space="preserve">naturæ rei congrua videatur, multa ta-
              <lb/>
            men continet quæ Lectorem aliquantum detinere queant;
              <lb/>
            </s>
            <s xml:id="echoid-s5405" xml:space="preserve">ut, quando conſiderat quantitatem motus corporis in primo
              <lb/>
            initio caſus, & </s>
            <s xml:id="echoid-s5406" xml:space="preserve">quum diſtinguit & </s>
            <s xml:id="echoid-s5407" xml:space="preserve">dividit, reſiduum motum
              <lb/>
            corporis A, ſcilicet quem haberet cum ſeparatim caderet,
              <lb/>
            præ illo quem haberet, ſi deſcenderet veluti pars penduli
              <lb/>
            compoſiti, & </s>
            <s xml:id="echoid-s5408" xml:space="preserve">tandem, quum in pendulo trium ponderum
              <lb/>
            vult A & </s>
            <s xml:id="echoid-s5409" xml:space="preserve">B tanquam fixa conſiderari in G, centro Oſcilla-
              <lb/>
            tionis illorum. </s>
            <s xml:id="echoid-s5410" xml:space="preserve">cum hæc omnia non ſint prorſus evidentia,
              <lb/>
            patet viam, quam ingreſſus eſt Marchio, ſatis eſſe difficilem,
              <lb/>
            & </s>
            <s xml:id="echoid-s5411" xml:space="preserve">accuratum valde ratiocinium fuiſſe requiſitum, ne hic de-
              <lb/>
            viaretur; </s>
            <s xml:id="echoid-s5412" xml:space="preserve">D
              <emph style="super">us</emph>
            Bernoulli in ſua relatione controverſiarum me
              <lb/>
            inter & </s>
            <s xml:id="echoid-s5413" xml:space="preserve">Abbatem Catelanum, de qua in ſequentibus </s>
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