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

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        <div xml:id="echoid-div743" type="section" level="1" n="197">
          <p>
            <s xml:id="echoid-s5251" xml:space="preserve">
              <pb o="132" file="0196" n="213" rhead="PHYSICES ELEMENTA"/>
            vitates conicæ exactius poſſunt conferri, quod ad Experi-
              <lb/>
            menta ſequentia etiam debet referri.</s>
            <s xml:id="echoid-s5252" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5253" xml:space="preserve">Motu duobus corporibus communi corpora hæc in ſe mu-
              <lb/>
            tuo agere non poſſunt; </s>
            <s xml:id="echoid-s5254" xml:space="preserve">pendet ergo ictus a velocitatereſpe-
              <lb/>
              <note position="left" xlink:label="note-0196-01" xlink:href="note-0196-01a" xml:space="preserve">494.</note>
            ctivâ, qua manente, intenſitas impactionis eadem erit, quomo-
              <lb/>
            docunque celeritates abſolutæ varient; </s>
            <s xml:id="echoid-s5255" xml:space="preserve">ab intenſitate hac pen-
              <lb/>
            det partium introceſſio, quæ ergo ſemper eadem erit, ſi
              <lb/>
              <note position="left" xlink:label="note-0196-02" xlink:href="note-0196-02a" xml:space="preserve">495.</note>
            duo corpora eâdem velocitate reſpectivâ in ſe mutuo incur-
              <lb/>
            rant, quibuſcunque velocitatibus moveantur.</s>
            <s xml:id="echoid-s5256" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div749" type="section" level="1" n="198">
          <head xml:id="echoid-head284" xml:space="preserve">
            <emph style="sc">Experimentum</emph>
          2.</head>
          <p>
            <s xml:id="echoid-s5257" xml:space="preserve">Suſpenſo cylindro quocunque ex tribus qui in Fig. </s>
            <s xml:id="echoid-s5258" xml:space="preserve">4. </s>
            <s xml:id="echoid-s5259" xml:space="preserve">de-
              <lb/>
              <note position="left" xlink:label="note-0196-03" xlink:href="note-0196-03a" xml:space="preserve">496.</note>
            lineantur; </s>
            <s xml:id="echoid-s5260" xml:space="preserve">& </s>
            <s xml:id="echoid-s5261" xml:space="preserve">quolibet ex cylindris cavis, Fig. </s>
            <s xml:id="echoid-s5262" xml:space="preserve">5.
              <lb/>
            </s>
            <s xml:id="echoid-s5263" xml:space="preserve">
              <note position="left" xlink:label="note-0196-04" xlink:href="note-0196-04a" xml:space="preserve">
                <emph style="sc">TAB XVIII</emph>
                <lb/>
              fig. 4. 5.</note>
            </s>
          </p>
          <p>
            <s xml:id="echoid-s5264" xml:space="preserve">Hujus minor cavitas argillâ repleatur, ut in deſcriptione
              <lb/>
            machinæ & </s>
            <s xml:id="echoid-s5265" xml:space="preserve">experimento 1°. </s>
            <s xml:id="echoid-s5266" xml:space="preserve">dictum, & </s>
            <s xml:id="echoid-s5267" xml:space="preserve">in majorem cavita-
              <lb/>
            tem argillæ quantitas quæcunque intrudatur; </s>
            <s xml:id="echoid-s5268" xml:space="preserve">dimittantur
              <lb/>
            hi, unus à decimâ quintâ, alter à quintâ diviſione, ad ean-
              <lb/>
            dem partem, & </s>
            <s xml:id="echoid-s5269" xml:space="preserve">menſuretur cavitatis diameter.</s>
            <s xml:id="echoid-s5270" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5271" xml:space="preserve">Unitâ iterum argillæ ſuperficie incurrat cylindrus unus
              <lb/>
            velocitate decem in alium quieſcentem, & </s>
            <s xml:id="echoid-s5272" xml:space="preserve">iterum menſu-
              <lb/>
            retur cavitatis diameter.</s>
            <s xml:id="echoid-s5273" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5274" xml:space="preserve">Tandem, iterum unitâ argillæ ſuperficie, cylindrus unus
              <lb/>
            dimittatur ab altitudine quartæ diviſionis, alter a ſexta di-
              <lb/>
            viſione, & </s>
            <s xml:id="echoid-s5275" xml:space="preserve">in partes contrarias tendant, menſureturque ite-
              <lb/>
            rum cavitatis diameter.</s>
            <s xml:id="echoid-s5276" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5277" xml:space="preserve">In hiſce tribus caſibus velocitates reſpectivæ ſunt æquales
              <note symbol="*" position="left" xlink:label="note-0196-05" xlink:href="note-0196-05a" xml:space="preserve">474. 47;.</note>
            cavitates etiam minimè differunt.</s>
            <s xml:id="echoid-s5278" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5279" xml:space="preserve">Vires æquales conſumuntur in formandis cavitatibus æ-
              <lb/>
            qualibus ; </s>
            <s xml:id="echoid-s5280" xml:space="preserve">nulla vis perit niſi quæ in cavitatibus
              <note symbol="*" position="left" xlink:label="note-0196-06" xlink:href="note-0196-06a" xml:space="preserve">464</note>
            dis conſumitur ; </s>
            <s xml:id="echoid-s5281" xml:space="preserve">ergo quomodocunque duo corpora
              <note symbol="*" position="left" xlink:label="note-0196-07" xlink:href="note-0196-07a" xml:space="preserve">488</note>
            tur, ſi eadem fuerit velocitas reſpectiva, eadem vis ictu
              <lb/>
              <note position="left" xlink:label="note-0196-08" xlink:href="note-0196-08a" xml:space="preserve">497</note>
            deſtructa erit . </s>
            <s xml:id="echoid-s5282" xml:space="preserve">Hanc idcirco determinabimus in
              <note symbol="*" position="left" xlink:label="note-0196-09" xlink:href="note-0196-09a" xml:space="preserve">495</note>
            concurſu duorum corporum, manente velocitate reſpectivâ,
              <lb/>
            ſi hoc fiat in uno caſu.</s>
            <s xml:id="echoid-s5283" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5284" xml:space="preserve">Sicorpora duo, ſive æqualia, ſive utcunque inæqualia in con-
              <lb/>
              <note position="left" xlink:label="note-0196-10" xlink:href="note-0196-10a" xml:space="preserve">498.</note>
            trarias partes lata, in ſe mutuo incurrant, poteſt, datâ
              <lb/>
            velocitate reſpectivâ, ita componi horum motus, ut </s>
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