Gravesande, Willem Jacob 's, Physices elementa mathematica, experimentis confirmata sive introductio ad philosophiam Newtonianam; Tom. 1

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            <s xml:id="echoid-s11829" xml:space="preserve">
              <pb o="330" file="0450" n="495" rhead="PHYSICES ELEMENTA"/>
            ſtruatur; </s>
            <s xml:id="echoid-s11830" xml:space="preserve">tuncque particula ad priſtinum ſitum, ut in linea
              <lb/>
            13.</s>
            <s xml:id="echoid-s11831" xml:space="preserve">, redit, & </s>
            <s xml:id="echoid-s11832" xml:space="preserve">ibi, cùm nova actione non agitetur, quieſcit.
              <lb/>
            </s>
            <s xml:id="echoid-s11833" xml:space="preserve">Quæ omnia ex demonſtratis in ſcholio 1. </s>
            <s xml:id="echoid-s11834" xml:space="preserve">ſequenti profluunt. </s>
            <s xml:id="echoid-s11835" xml:space="preserve">
              <lb/>
            Idcirco ceſſante motu corporis tremulo, quo aër agitatur,
              <lb/>
              <note position="left" xlink:label="note-0450-01" xlink:href="note-0450-01a" xml:space="preserve">1148.</note>
            novæ undæ non generantur, numeruſque undarum a nume-
              <lb/>
            ro agitationum ipſius corporis non differt.</s>
            <s xml:id="echoid-s11836" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s11837" xml:space="preserve">Si in pendulo poſt duas vibrationes gravitatis actio ceſſa-
              <lb/>
              <note position="left" xlink:label="note-0450-02" xlink:href="note-0450-02a" xml:space="preserve">1149.</note>
            ret, ut in aëre, poſt itum & </s>
            <s xml:id="echoid-s11838" xml:space="preserve">reditum particulæ, elaſticita-
              <lb/>
            tis actio in hanc particulam ceſſat, in omnibus motus par-
              <lb/>
            ticulæ aëreæ cum motu corporis penduli congrueret. </s>
            <s xml:id="echoid-s11839" xml:space="preserve">In
              <lb/>
            puncto medio arcus oſcillatione percurrendi nulla datur gra-
              <lb/>
            vitatis actio, hujuſque directio mutatur; </s>
            <s xml:id="echoid-s11840" xml:space="preserve">in puncto medio
              <lb/>
            ſpatii a particula p, itu & </s>
            <s xml:id="echoid-s11841" xml:space="preserve">reditu, percurrendi, in quo datur
              <lb/>
            in linea 4. </s>
            <s xml:id="echoid-s11842" xml:space="preserve">& </s>
            <s xml:id="echoid-s11843" xml:space="preserve">10.</s>
            <s xml:id="echoid-s11844" xml:space="preserve">, congruit hujus particulæ ſitus cum ſitu
              <lb/>
            particularum m & </s>
            <s xml:id="echoid-s11845" xml:space="preserve">e in linea 1.</s>
            <s xml:id="echoid-s11846" xml:space="preserve">, in quibus punctis nulla ela-
              <lb/>
            ſticitatis actio datur, & </s>
            <s xml:id="echoid-s11847" xml:space="preserve">hujus directio mutatur . </s>
            <s xml:id="echoid-s11848" xml:space="preserve">In
              <note symbol="*" position="left" xlink:label="note-0450-03" xlink:href="note-0450-03a" xml:space="preserve">1143</note>
            dulo quo magis corpus oſcillatum a puncto infimo, aut me-
              <lb/>
            dio, arcus deſcribendi diſtat, eo magis vis gravitatis in il-
              <lb/>
            lud agit; </s>
            <s xml:id="echoid-s11849" xml:space="preserve">quo magis etiam particula p a puncto medio ſpatii
              <lb/>
            percurrendi diſtat, eo major in illam eſt elaſticitatis actio,
              <lb/>
            & </s>
            <s xml:id="echoid-s11850" xml:space="preserve">in lineis 1. </s>
            <s xml:id="echoid-s11851" xml:space="preserve">7. </s>
            <s xml:id="echoid-s11852" xml:space="preserve">& </s>
            <s xml:id="echoid-s11853" xml:space="preserve">13.</s>
            <s xml:id="echoid-s11854" xml:space="preserve">, in quibus maximè à puncto memo-
              <lb/>
            rato diſtat particula, ſitus hujus congruit cum punctis b, h,
              <lb/>
            & </s>
            <s xml:id="echoid-s11855" xml:space="preserve">p, in linea 1.</s>
            <s xml:id="echoid-s11856" xml:space="preserve">, in quibus elaſticitatis actio eſt omnium
              <lb/>
            maxima .</s>
            <s xml:id="echoid-s11857" xml:space="preserve"/>
          </p>
          <note symbol="*" position="left" xml:space="preserve">1144.</note>
          <p>
            <s xml:id="echoid-s11858" xml:space="preserve">Qua lege hæc elaſticitatis actio, cum aucta a ſæpius me-
              <lb/>
              <note position="left" xlink:label="note-0450-05" xlink:href="note-0450-05a" xml:space="preserve">1150.</note>
            morato puncto medio diſtantia creſcat, determinatur ex le-
              <lb/>
            ge ipſa elaſticitatis aëris, cujus particulæ ſeſe mutuo fugiunt
              <lb/>
            cum vi quæ eſt inverſè ut diſtantia inter particularum cen-
              <lb/>
            tra : </s>
            <s xml:id="echoid-s11859" xml:space="preserve">& </s>
            <s xml:id="echoid-s11860" xml:space="preserve">demonſtramus in ſcholio 1. </s>
            <s xml:id="echoid-s11861" xml:space="preserve">huic capiti ſubjuncto
              <note symbol="*" position="left" xlink:label="note-0450-06" xlink:href="note-0450-06a" xml:space="preserve">1072.</note>
            ſticitatis actionem, in particulam up p, ad inſtar diſtantiæ a
              <lb/>
            puncto ſpatii percurrendi medio augeri aut minui.</s>
            <s xml:id="echoid-s11862" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s11863" xml:space="preserve">Qua de cauſa particulæ ſingulæ, in motu ſuo, eunt, & </s>
            <s xml:id="echoid-s11864" xml:space="preserve">
              <lb/>
              <note position="left" xlink:label="note-0450-07" xlink:href="note-0450-07a" xml:space="preserve">1151.</note>
            redeunt, juxta legem corporis in cycloïde oſcillati .</s>
            <s xml:id="echoid-s11865" xml:space="preserve"/>
          </p>
          <note symbol="*" position="left" xml:space="preserve">287.</note>
          <p>
            <s xml:id="echoid-s11866" xml:space="preserve">In eodem ſcholio demonſtramus, undæ velocitatem æqua-
              <lb/>
              <note position="left" xlink:label="note-0450-09" xlink:href="note-0450-09a" xml:space="preserve">1152.</note>
            lem eſſe illi, quam corpus acquirit cadendo a </s>
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