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

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        <div xml:id="echoid-div749" type="section" level="1" n="198">
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            <s xml:id="echoid-s5284" xml:space="preserve">
              <pb o="133" file="0199" n="217" rhead="MATHEMATICA, LIB. I. CAP. XXIII."/>
            libuerit alium poſt ictum ſecum ferat, unde ſequitur, caſum
              <lb/>
            dari, in quo poſt ictum quieſcunt.</s>
            <s xml:id="echoid-s5285" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5286" xml:space="preserve">In hoc caſu ſumma virium abſolutarum valet vim in
              <lb/>
            omni caſu, poſitâ eadem velocitate reſpectivâ, deſtructam .</s>
            <s xml:id="echoid-s5287" xml:space="preserve">
              <note symbol="*" position="right" xlink:label="note-0199-01" xlink:href="note-0199-01a" xml:space="preserve">497.</note>
            In hoc eodem caſu ſumma hæc eſt, ſervatâ velocitate re-
              <lb/>
            ſpectivâ omnium minima: </s>
            <s xml:id="echoid-s5288" xml:space="preserve">ſi enim ſumma minor daretur, mi-
              <lb/>
            nor vis ictu periret, quod impoſſibile .</s>
            <s xml:id="echoid-s5289" xml:space="preserve">
              <note symbol="*" position="right" xlink:label="note-0199-02" xlink:href="note-0199-02a" xml:space="preserve">497.</note>
            </s>
          </p>
          <p>
            <s xml:id="echoid-s5290" xml:space="preserve">Summam autem hanc eſſe omnium minimam, ſi poſitis diro-
              <lb/>
              <note position="right" xlink:label="note-0199-03" xlink:href="note-0199-03a" xml:space="preserve">499.</note>
            ctionibus contrariis, celeritates fuerint inverſe ut maſſæ,
              <lb/>
            & </s>
            <s xml:id="echoid-s5291" xml:space="preserve">in hoc caſu ſolo eſſe minimam, in ſcholio ſequenti 1.
              <lb/>
            </s>
            <s xml:id="echoid-s5292" xml:space="preserve">demonſtramus.</s>
            <s xml:id="echoid-s5293" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5294" xml:space="preserve">Unde ergo ſequitur in eo ſolo caſu corpora in contrarias
              <lb/>
              <note position="right" xlink:label="note-0199-04" xlink:href="note-0199-04a" xml:space="preserve">500.</note>
            partes lata, & </s>
            <s xml:id="echoid-s5295" xml:space="preserve">in ſe mutuo incurrentia, poſt ictum quieſce-
              <lb/>
            re, ſi velocitates fuerint inverſe ut maſſæ .</s>
            <s xml:id="echoid-s5296" xml:space="preserve">
              <note symbol="*" position="right" xlink:label="note-0199-05" xlink:href="note-0199-05a" xml:space="preserve">498:</note>
            </s>
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        </div>
        <div xml:id="echoid-div757" type="section" level="1" n="199">
          <head xml:id="echoid-head285" xml:space="preserve">
            <emph style="sc">Experimentum</emph>
          3.</head>
          <p>
            <s xml:id="echoid-s5297" xml:space="preserve">Suſpenſis cylindris F, (Fig. </s>
            <s xml:id="echoid-s5298" xml:space="preserve">4. </s>
            <s xml:id="echoid-s5299" xml:space="preserve">Tab. </s>
            <s xml:id="echoid-s5300" xml:space="preserve">18.) </s>
            <s xml:id="echoid-s5301" xml:space="preserve">& </s>
            <s xml:id="echoid-s5302" xml:space="preserve">G, (Fig. </s>
            <s xml:id="echoid-s5303" xml:space="preserve">5. </s>
            <s xml:id="echoid-s5304" xml:space="preserve">Tab 18.)
              <lb/>
            </s>
            <s xml:id="echoid-s5305" xml:space="preserve">
              <note position="right" xlink:label="note-0199-06" xlink:href="note-0199-06a" xml:space="preserve">501.</note>
            cavendum autem, ut hic, argillâ in poſteriori cavitate in-
              <lb/>
              <note position="right" xlink:label="note-0199-07" xlink:href="note-0199-07a" xml:space="preserve">
                <emph style="sc">TAB. XIX</emph>
                <lb/>
              fig. 2.</note>
            truſâ, cum cylindro D (Fig. </s>
            <s xml:id="echoid-s5306" xml:space="preserve">4. </s>
            <s xml:id="echoid-s5307" xml:space="preserve">Tab. </s>
            <s xml:id="echoid-s5308" xml:space="preserve">18.) </s>
            <s xml:id="echoid-s5309" xml:space="preserve">æqualiter ponde-
              <lb/>
            ret; </s>
            <s xml:id="echoid-s5310" xml:space="preserve">maſſæ nunc erunt ut quatuor ad duo, aut ut duo ad unum.
              <lb/>
            </s>
            <s xml:id="echoid-s5311" xml:space="preserve">Incurrant hi directionibus contrariis in ſe mutuo, F velo-
              <lb/>
            citate quinque, & </s>
            <s xml:id="echoid-s5312" xml:space="preserve">G velocitate decem, & </s>
            <s xml:id="echoid-s5313" xml:space="preserve">poſt ictum qui-
              <lb/>
              <note position="right" xlink:label="note-0199-08" xlink:href="note-0199-08a" xml:space="preserve">
                <emph style="sc">TAB. XIX</emph>
                <lb/>
              fig. 3.</note>
            eſcent. </s>
            <s xml:id="echoid-s5314" xml:space="preserve">Cavitas in argilla in V repræſentatur.</s>
            <s xml:id="echoid-s5315" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5316" xml:space="preserve">Vires autem in hoc caſu ſunt inverſè ut velocitates ; </s>
            <s xml:id="echoid-s5317" xml:space="preserve">
              <note symbol="*" position="right" xlink:label="note-0199-09" xlink:href="note-0199-09a" xml:space="preserve">472.</note>
            go ut corpora inæqualia in contrarias partes lata, poſt ictum
              <lb/>
              <note position="right" xlink:label="note-0199-10" xlink:href="note-0199-10a" xml:space="preserve">502.</note>
            quieſcant, vires inſitæ inæquales deſiderantur. </s>
            <s xml:id="echoid-s5318" xml:space="preserve">Circa quam
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            inæqualitatem ſequentia experimenta notatu digniſſima
              <lb/>
            ſunt.</s>
            <s xml:id="echoid-s5319" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div760" type="section" level="1" n="200">
          <head xml:id="echoid-head286" xml:space="preserve">
            <emph style="sc">Experimentum</emph>
          4.</head>
          <p>
            <s xml:id="echoid-s5320" xml:space="preserve">Firmato obice N, (Fig. </s>
            <s xml:id="echoid-s5321" xml:space="preserve">6. </s>
            <s xml:id="echoid-s5322" xml:space="preserve">Tab. </s>
            <s xml:id="echoid-s5323" xml:space="preserve">18.) </s>
            <s xml:id="echoid-s5324" xml:space="preserve">in argillam incurrat cy-
              <lb/>
              <note position="right" xlink:label="note-0199-11" xlink:href="note-0199-11a" xml:space="preserve">503.</note>
            lindrus F ea velocitate, qua in experimento præcedenti mo-
              <lb/>
              <note position="right" xlink:label="note-0199-12" xlink:href="note-0199-12a" xml:space="preserve">
                <emph style="sc">TAB. XIX.</emph>
                <lb/>
              fig. 4.</note>
            tus fuit, cavitatem format S (Fig. </s>
            <s xml:id="echoid-s5325" xml:space="preserve">3.)</s>
            <s xml:id="echoid-s5326" xml:space="preserve">. </s>
            <s xml:id="echoid-s5327" xml:space="preserve">Mutato paululum obi-
              <lb/>
              <note position="right" xlink:label="note-0199-13" xlink:href="note-0199-13a" xml:space="preserve">
                <emph style="sc">TAB. XIX.</emph>
                <lb/>
              fig. 5.</note>
            ce in hunc incurrat cylindrus D (Fig. </s>
            <s xml:id="echoid-s5328" xml:space="preserve">4. </s>
            <s xml:id="echoid-s5329" xml:space="preserve">Tab. </s>
            <s xml:id="echoid-s5330" xml:space="preserve">18.) </s>
            <s xml:id="echoid-s5331" xml:space="preserve">ea ve-
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            locitate qua cylindrus G, qui in præcedenti experimento
              <lb/>
            ejuſdem ponderis fuit cum hoc cylindio D, in hoc præce-
              <lb/>
            denti experimento fuit agitatus, cavitatem formabit duplam
              <lb/>
            præcedentis, quæ in T (fig. </s>
            <s xml:id="echoid-s5332" xml:space="preserve">3.) </s>
            <s xml:id="echoid-s5333" xml:space="preserve">repræſentatur, </s>
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