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

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            radiorum D F & </s>
            <s xml:id="echoid-s4796" xml:space="preserve">D G, vel horum proportionalium A H & </s>
            <s xml:id="echoid-s4797" xml:space="preserve">B I
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            nam ſeparatio ponderum non mutat quantitatem motus eo-
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            rum: </s>
            <s xml:id="echoid-s4798" xml:space="preserve">efficit ut moveantur juxta legem corporum cadentium,
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            quæ non inter ſe conjuncta ſunt. </s>
            <s xml:id="echoid-s4799" xml:space="preserve">Demonſtratur in Me-
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            chanicis, altitudinem perpendicularem ad horizontem, un-
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            de deſcendit, vel ad quam aſcendit, commune gravitatis
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            centrum multorum ponderum, æqualem eſſe ſummæ altitu-
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            dinum, quarum reſpectu (gallice par raport auquelles).
              <lb/>
            </s>
            <s xml:id="echoid-s4800" xml:space="preserve">pondera deſcendunt vel aſcendunt, diviſæ per eorundem nu-
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            merum: </s>
            <s xml:id="echoid-s4801" xml:space="preserve">ſed probavimus pondera, quæ ſeparantur, rupto
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            pendulo percuſſione in planum oſcillationi illius oppoſitum,
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            iterum aſcenſura eſſe, ad altitudines diverſas ab iis, unde
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            deſcenderunt, & </s>
            <s xml:id="echoid-s4802" xml:space="preserve">quidem tales, ut ſummæ ad utramque partem æ-
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            quales eſſe nequeant; </s>
            <s xml:id="echoid-s4803" xml:space="preserve">nam ultimæ altitudines ſemper habent pro ra-
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            dicibus quantitates primis proportionales, & </s>
            <s xml:id="echoid-s4804" xml:space="preserve">præterea eandem, quam
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            eorum radices componentes ſummam, quæ exprimit totam celerita-
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            tem penduli A B; </s>
            <s xml:id="echoid-s4805" xml:space="preserve">ſi ergo diverſas illas ſummas ſeparatim divi-
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            damus per numerum ponderum, habebimus altitudinem ad
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            quam centrum commune gravitatis iterum aſcendit, diver-
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            ſam ab illa, unde deſcendit; </s>
            <s xml:id="echoid-s4806" xml:space="preserve">quoniam ſunt partes aliquotæ
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            ſimiles quantitatum inæqualium.</s>
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            <s xml:id="echoid-s4808" xml:space="preserve">Propoſitio igitur Domini Hugenii falſa eſt, & </s>
            <s xml:id="echoid-s4809" xml:space="preserve">conſequenter
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            quidquid concluſit circa centrum Oſcillationis corruit; </s>
            <s xml:id="echoid-s4810" xml:space="preserve">vera
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            autem Mathematica hujus quæſtionis ſolutio hæc eſt.</s>
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        <div xml:id="echoid-div425" type="section" level="1" n="170">
          <head xml:id="echoid-head206" xml:space="preserve">II.</head>
          <head xml:id="echoid-head207" style="it" xml:space="preserve">Domini Abbatis Catelani Examen Ma-
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          thematicum Centri Oſcillationis.</head>
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            <s xml:id="echoid-s4812" xml:space="preserve">QUæſtio de determinando centro Oſcillationis, ſi bene in-
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            tellecta fuerit, haud difficilis eſt. </s>
            <s xml:id="echoid-s4813" xml:space="preserve">Centrum Oſcillationis
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            vocatur punctum mobile in Pendulo ad talem ab axe,
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            vel centro ſuſpenſionis, diſtantiam, ut ſi omnes aliæ Penduli
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            partes deſtruerentur, illa ſola pergeret in vibrationibus ut
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            antea; </s>
            <s xml:id="echoid-s4814" xml:space="preserve">id eſt eodem tempore ac totum Pendulum; </s>
            <s xml:id="echoid-s4815" xml:space="preserve">Quod ita
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            non fiet cum aliis partibus ſingulis ſeparatim ſumtis; </s>
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