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

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          <p>
            <s xml:id="echoid-s6362" xml:space="preserve">
              <pb o="290" file="0376" n="408" rhead="VARIA CIRCA"/>
            trum gravitatis ipſius ſolidi & </s>
            <s xml:id="echoid-s6363" xml:space="preserve">quatuor punctorum angularium,
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            uti oſtendere facillimum eſt. </s>
            <s xml:id="echoid-s6364" xml:space="preserve">Et hinc patet veritas theorema-
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            tis Robervalliani, Si à centro gravitatis pyramidis fila ten-
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            dantur ad quatuor angulos, quæ trahantur à potentiis quæ
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            ſint inter ſe ut filorum ipſorum longitudines, fieri æquilibrium
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            manente nodo in dicto gravitatis centro.</s>
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        <div xml:id="echoid-div474" type="section" level="1" n="193">
          <head xml:id="echoid-head247" xml:space="preserve">VIII.</head>
          <head xml:id="echoid-head248" style="it" xml:space="preserve">Solitio problematis a G G. Leibnitio propoſiti in
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          diario (cui titulus Nouvelles de la Republi-
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          que des Lettres) menſis Sept. 1687.</head>
          <head xml:id="echoid-head249" xml:space="preserve">PROBLEMA.</head>
          <p>
            <s xml:id="echoid-s6366" xml:space="preserve">Detegere lineam juxta quam ſi corpus deſcendat tem-
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            poribus æqualibus æqualiter tellurem verſus accedat.</s>
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          </p>
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        <div xml:id="echoid-div475" type="section" level="1" n="194">
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            <emph style="sc">Solutio</emph>
          .</head>
          <p>
            <s xml:id="echoid-s6368" xml:space="preserve">Impoſſibile eſt problema ſi requiratur ut corpus motum in
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            tali linea inchoet a quiete.</s>
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          <note position="left" xml:space="preserve">TAB.XXXIII.
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          Fig. 4.</note>
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            <s xml:id="echoid-s6370" xml:space="preserve">Sed ſi ponamus corpus quandam, quantumvis exiguam, ve-
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            locitatem habere ex. </s>
            <s xml:id="echoid-s6371" xml:space="preserve">gr. </s>
            <s xml:id="echoid-s6372" xml:space="preserve">quam acquirit cadendo ab altitu-
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            dine A B, quæſito ſatisfacit curva B C, cujus hæc eſt pro-
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            prietas ut cubus altitudinis B D æqualis ſit quadrato perpen-
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            dicularis C D ad A B continuatam ducto in {9/4} A B.</s>
            <s xml:id="echoid-s6373" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6374" xml:space="preserve">Præter curvam hanc B C, in numeræ aliæ dantur ejuſdem
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            generis, & </s>
            <s xml:id="echoid-s6375" xml:space="preserve">quæ ſacile deteguntur, in quibus corpus etiam,
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            temporibus æqualibus, æqualiter, ſed lentius quam per B C,
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            ad Tellurem accedit.</s>
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          </p>
          <p>
            <s xml:id="echoid-s6377" xml:space="preserve">Si B D ſit dupla ipſius B A, tempus deſcenſus per cur-
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            væ partem B C aquale erit tempori caſus per A B.</s>
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