Gravesande, Willem Jacob 's, Physices elementa mathematica, experimentis confirmata sive introductio ad philosophiam Newtonianam; Tom. 1
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              <pb o="157" file="0225" n="244" rhead="MATHEMATICA. LIB. I. CAP. XXIV."/>
            B vero & </s>
            <s xml:id="echoid-s6198" xml:space="preserve">b C, ut & </s>
            <s xml:id="echoid-s6199" xml:space="preserve">BC & </s>
            <s xml:id="echoid-s6200" xml:space="preserve">A b, ſunt æquales inter
              <lb/>
            ſe.</s>
            <s xml:id="echoid-s6201" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div884" type="section" level="1" n="227">
          <head xml:id="echoid-head319" xml:space="preserve">
            <emph style="sc">Experimentum</emph>
          8.</head>
          <p>
            <s xml:id="echoid-s6202" xml:space="preserve">Corpora duo æqualia &</s>
            <s xml:id="echoid-s6203" xml:space="preserve">, primum velocitate decem, alte-
              <lb/>
              <note position="right" xlink:label="note-0225-01" xlink:href="note-0225-01a" xml:space="preserve">578.</note>
            rum velocitate quinque, eandem partem verſus feruntur;
              <lb/>
            </s>
            <s xml:id="echoid-s6204" xml:space="preserve">mutatis velocitatibus poſt impactum motum continuant: </s>
            <s xml:id="echoid-s6205" xml:space="preserve">
              <lb/>
            quod etiam detegitur computatione ex præcedentibus Re-
              <lb/>
            gulis.</s>
            <s xml:id="echoid-s6206" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6207" xml:space="preserve">Cas. </s>
            <s xml:id="echoid-s6208" xml:space="preserve">2. </s>
            <s xml:id="echoid-s6209" xml:space="preserve">Sit AB celeritas unius corporis, CB celeritas
              <lb/>
              <note position="right" xlink:label="note-0225-02" xlink:href="note-0225-02a" xml:space="preserve">579.</note>
            alterius; </s>
            <s xml:id="echoid-s6210" xml:space="preserve">differentia AC dividatur in duas partes æqua-
              <lb/>
              <note position="right" xlink:label="note-0225-03" xlink:href="note-0225-03a" xml:space="preserve">
                <emph style="sc">TA. XXII</emph>
              .
                <lb/>
              fig. 5.</note>
            les, & </s>
            <s xml:id="echoid-s6211" xml:space="preserve">fiat A b æqualis CB. </s>
            <s xml:id="echoid-s6212" xml:space="preserve">Quando corpora non ſunt
              <lb/>
            elaſtica, velocitas utriuſque poſt occurſum, verſus ean-
              <lb/>
            dem partem, eſt AD ; </s>
            <s xml:id="echoid-s6213" xml:space="preserve">corpus ergo primum amiſit
              <note symbol="*" position="right" xlink:label="note-0225-04" xlink:href="note-0225-04a" xml:space="preserve">516.</note>
            locitatem DB, corpus alterum amiſit totam velocitatem CB
              <lb/>
            & </s>
            <s xml:id="echoid-s6214" xml:space="preserve">in contrariam partem acquiſivit DC; </s>
            <s xml:id="echoid-s6215" xml:space="preserve">tota ergo quan-
              <lb/>
              <note symbol="*" position="right" xlink:label="note-0225-05" xlink:href="note-0225-05a" xml:space="preserve">569.</note>
            titas amiſſa etiam eſt DB ; </s>
            <s xml:id="echoid-s6216" xml:space="preserve">hæc quantitas ſi duplicetur, erit b B quantitas celeritatis ab utroque corpore amiſſa ;</s>
            <s xml:id="echoid-s6217" xml:space="preserve">
              <note symbol="*" position="right" xlink:label="note-0225-06" xlink:href="note-0225-06a" xml:space="preserve">568.</note>
            quæ ſubtracta ex velocitate utriuſque corporis, dat in u-
              <lb/>
            troque caſu velocitatem in contrariam partem ; </s>
            <s xml:id="echoid-s6218" xml:space="preserve">
              <note symbol="*" position="right" xlink:label="note-0225-07" xlink:href="note-0225-07a" xml:space="preserve">569.</note>
            tia hæc reſpectu motus AB eſt b A, pro motu CB eſt
              <lb/>
            C b; </s>
            <s xml:id="echoid-s6219" xml:space="preserve">C b vero & </s>
            <s xml:id="echoid-s6220" xml:space="preserve">AB, ut & </s>
            <s xml:id="echoid-s6221" xml:space="preserve">b A & </s>
            <s xml:id="echoid-s6222" xml:space="preserve">CB, ſunt æquales
              <lb/>
            inter ſe.</s>
            <s xml:id="echoid-s6223" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div887" type="section" level="1" n="228">
          <head xml:id="echoid-head320" xml:space="preserve">
            <emph style="sc">Experimentum</emph>
          9.</head>
          <p>
            <s xml:id="echoid-s6224" xml:space="preserve">Si corpora æqualia, unum celeritate decem, alte-
              <lb/>
              <note position="right" xlink:label="note-0225-08" xlink:href="note-0225-08a" xml:space="preserve">580.</note>
            rum velocitate quinque, in contrarias partes ferantur, per-
              <lb/>
            mutatis velocitatibus ambo regrediuntur poſt percuſſio-
              <lb/>
            nem.</s>
            <s xml:id="echoid-s6225" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s6226" xml:space="preserve">Corpus impingitur in alind æquale quieſcens, ſi velocitates
              <lb/>
              <note position="right" xlink:label="note-0225-09" xlink:href="note-0225-09a" xml:space="preserve">581.</note>
            permutentur, corpus primum poſt impactum quieſcet, alte-
              <lb/>
            rum vero cum velocitate prioris movebitur.</s>
            <s xml:id="echoid-s6227" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div890" type="section" level="1" n="229">
          <head xml:id="echoid-head321" xml:space="preserve">
            <emph style="sc">Experimentum</emph>
          10.</head>
          <p>
            <s xml:id="echoid-s6228" xml:space="preserve">Corpus velocitate decem impingat in corpus æquale quie-
              <lb/>
              <note position="right" xlink:label="note-0225-10" xlink:href="note-0225-10a" xml:space="preserve">582.</note>
            tum, primum poſt occurſum quieſcet, & </s>
            <s xml:id="echoid-s6229" xml:space="preserve">aliud celeritate de-
              <lb/>
            cem movetur.</s>
            <s xml:id="echoid-s6230" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6231" xml:space="preserve">In omnibus hiſce experimentis notandum, hæc hìc tra-
              <lb/>
            di ut obtinerent ſi perfecta foret elaſticitas, ad cujus defe-
              <lb/>
            ctum ſemper attendere debemus.</s>
            <s xml:id="echoid-s6232" xml:space="preserve"/>
          </p>
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