Huygens, Christiaan, Christiani Hugenii opera varia; Bd. 1: Opera mechanica
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        <div xml:id="echoid-div431" type="section" level="1" n="175">
          <pb o="230" file="0308" n="335" rhead="DE CENTRO OSCILL."/>
          <p>
            <s xml:id="echoid-s5032" xml:space="preserve">Demonſtrare potero in ſequentibus, non adeo difficile eſſe,
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            ut quidem Hugenio videtur, accommodare illud Principium
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            ad particulares magnitudinum Geometricarum ſpecies ſuſpen-
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            ſarum ex Axe vel puncto.</s>
            <s xml:id="echoid-s5033" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5034" xml:space="preserve">Quod ad experimenta attinet, paratus ſum demonſtrare hæc
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            ita non poſſe inſtitui, ut perfecte conveniant cum regulis ſim-
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            plicibus & </s>
            <s xml:id="echoid-s5035" xml:space="preserve">generalibus, quæ deducuntur e principiis Mathe-
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            maticis, eandem ob cauſam ob quam generalis regula, ſta-
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            biliri nequit, certa, & </s>
            <s xml:id="echoid-s5036" xml:space="preserve">conſtans, in caſibus particularibus, qui
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            dependent a pluribus cauſis, non exacte notis.</s>
            <s xml:id="echoid-s5037" xml:space="preserve"/>
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        <div xml:id="echoid-div432" type="section" level="1" n="176">
          <head xml:id="echoid-head217" xml:space="preserve">VII.</head>
          <head xml:id="echoid-head218" style="it" xml:space="preserve">Excerpta ex litteris D. Bernoullii datis Baſileæ ad
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          Autorem Diarii Pariſienſis, de Controverſia,
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          inter Abbatem Catelanum & Hugenium,
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          de Centro Oſcillationis.</head>
          <p>
            <s xml:id="echoid-s5038" xml:space="preserve">QUum nondum obſervaverim, Hugenium reſpondiſſe, ad
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            exceptionem Abbatis Catelani, quæ ſpectabat primariam
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            ejus de centro Oſcillationis propoſitionem, te haud
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            ægre laturum credo, ſi verbulum ad ejus defenſionem ad te
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            ſcribam. </s>
            <s xml:id="echoid-s5039" xml:space="preserve">Quicquid D. </s>
            <s xml:id="echoid-s5040" xml:space="preserve">Catelanus diſputat, eo redit ut probet,
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            ſummam radicum duarum magnitudinum quarumvis non poſſe
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            in duas partes ita dividi, ut proportionales ſint ad magnitu-
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            dines datas, utque ſumma quadratorum ipſorum ſit æqualis
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            ſummæ magnitudinum. </s>
            <s xml:id="echoid-s5041" xml:space="preserve">Id vero neutiquam in dubium ab
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            Hugenio vocatur, qui tantum affirmat, ſummam harum ma-
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            gnitudinum poſſe eſſe æqualem ſummæ duarum aliarum, quæ
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            quadratis priorum proportionales ſunt. </s>
            <s xml:id="echoid-s5042" xml:space="preserve">Quod & </s>
            <s xml:id="echoid-s5043" xml:space="preserve">veritati con-
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            ſonum eſt.</s>
            <s xml:id="echoid-s5044" xml:space="preserve"/>
          </p>
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            <s xml:id="echoid-s5045" xml:space="preserve">Atque ut oſtendam, controverſiæ omnis cardinem hic
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            verti, utar eodem exemplo de duobus ponderibus æquali-
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            bus, & </s>
            <s xml:id="echoid-s5046" xml:space="preserve">quidem poſitis numeris, ut veritates hæ abſtractæ
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            ſenſui magis obviæ fiant.</s>
            <s xml:id="echoid-s5047" xml:space="preserve"/>
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