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

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              <pb o="155" file="0223" n="242" rhead="MATHEMATICA. LIB. I. CAP. XXIV."/>
            redit non modo amittere priſtinam velocitatem, ſed præte-
              <lb/>
            rea pro velocitate amiſſa etiam haberi velocitatem, in con-
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            trariam partem acquiſitam; </s>
            <s xml:id="echoid-s6113" xml:space="preserve">& </s>
            <s xml:id="echoid-s6114" xml:space="preserve">in hoc caſu ſumma ambarum
              <lb/>
            harum velocitatum duplicanda eſt & </s>
            <s xml:id="echoid-s6115" xml:space="preserve">expriori celeritate ſub-
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            trahenda. </s>
            <s xml:id="echoid-s6116" xml:space="preserve">Quando autem major velocitas ex minori ſubdu-
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            citur, exceſſus in contrariam partem ſumendus eſt.</s>
            <s xml:id="echoid-s6117" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div870" type="section" level="1" n="221">
          <head xml:id="echoid-head313" xml:space="preserve">
            <emph style="sc">Experimentum</emph>
          2.</head>
          <p>
            <s xml:id="echoid-s6118" xml:space="preserve">Corpus P, cujus maſſa eſt duo, & </s>
            <s xml:id="echoid-s6119" xml:space="preserve">celeritas novem, im-
              <lb/>
              <note position="right" xlink:label="note-0223-01" xlink:href="note-0223-01a" xml:space="preserve">570.</note>
            pingitur in corpus quieſcens Q, cujus maſſa eſt unum;
              <lb/>
            </s>
            <s xml:id="echoid-s6120" xml:space="preserve">
              <note position="right" xlink:label="note-0223-02" xlink:href="note-0223-02a" xml:space="preserve">TAB XXI.
                <lb/>
              fig. 5.</note>
            poſt impactum Q fertur celeritate duodecim, & </s>
            <s xml:id="echoid-s6121" xml:space="preserve">P mo-
              <lb/>
            tum continuat velocitate tria; </s>
            <s xml:id="echoid-s6122" xml:space="preserve">quod cum prædictis Regu-
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            lis congruit: </s>
            <s xml:id="echoid-s6123" xml:space="preserve">nam ſi corpora non eſſent elaſtica, celeritas
              <lb/>
            amborum poſt occurſum eſſet ſex ; </s>
            <s xml:id="echoid-s6124" xml:space="preserve">corpus ergo Q
              <note symbol="*" position="right" xlink:label="note-0223-03" xlink:href="note-0223-03a" xml:space="preserve">519.</note>
            quireret ſex gradus velocitatis; </s>
            <s xml:id="echoid-s6125" xml:space="preserve">ideo per Reg. </s>
            <s xml:id="echoid-s6126" xml:space="preserve">I. </s>
            <s xml:id="echoid-s6127" xml:space="preserve">
              <note symbol="*" position="right" xlink:label="note-0223-04" xlink:href="note-0223-04a" xml:space="preserve">567.</note>
            nunc duodecim gradus. </s>
            <s xml:id="echoid-s6128" xml:space="preserve">Corpus P quod ſepoſita elaſtici-
              <lb/>
            tate amittit tres gradus velocitatis, per Reg. </s>
            <s xml:id="echoid-s6129" xml:space="preserve">II. </s>
            <s xml:id="echoid-s6130" xml:space="preserve">
              <note symbol="*" position="right" xlink:label="note-0223-05" xlink:href="note-0223-05a" xml:space="preserve">568.</note>
            ſex, quiſi ſubtrahantur a novem, velocitate priori, reſtant
              <lb/>
            tres gradus velocitatis.</s>
            <s xml:id="echoid-s6131" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div872" type="section" level="1" n="222">
          <head xml:id="echoid-head314" xml:space="preserve">
            <emph style="sc">Experimentum</emph>
          3.</head>
          <p>
            <s xml:id="echoid-s6132" xml:space="preserve">Corpus P, cujus maſſa eſt duo, & </s>
            <s xml:id="echoid-s6133" xml:space="preserve">velocitas octo, in-
              <lb/>
              <note position="right" xlink:label="note-0223-06" xlink:href="note-0223-06a" xml:space="preserve">571.</note>
            currit in corpus Q, cuius maſſa eſt unum, & </s>
            <s xml:id="echoid-s6134" xml:space="preserve">quod veloci-
              <lb/>
              <note position="right" xlink:label="note-0223-07" xlink:href="note-0223-07a" xml:space="preserve">TAB. XXI.
                <lb/>
              fig. 6.</note>
            tate quinque eandem partem verſus fertur; </s>
            <s xml:id="echoid-s6135" xml:space="preserve">poſt occurſum
              <lb/>
            corpus Q movetur velocitate novem, & </s>
            <s xml:id="echoid-s6136" xml:space="preserve">P velocitate ſex
              <lb/>
            fertur. </s>
            <s xml:id="echoid-s6137" xml:space="preserve">Quod iterum per Regulas præcedentes potuiſſet
              <lb/>
            determinari. </s>
            <s xml:id="echoid-s6138" xml:space="preserve">Si corpora non eſſent elaſtica, ambo celeri-
              <lb/>
            tate ſeptem poſt impactum moverentur . </s>
            <s xml:id="echoid-s6139" xml:space="preserve">corpus Q
              <note symbol="*" position="right" xlink:label="note-0223-08" xlink:href="note-0223-08a" xml:space="preserve">513.</note>
            reret duos gradus celeritatis, qui per Reg. </s>
            <s xml:id="echoid-s6140" xml:space="preserve">I. </s>
            <s xml:id="echoid-s6141" xml:space="preserve">duplicari de-
              <lb/>
            bent, & </s>
            <s xml:id="echoid-s6142" xml:space="preserve">priori celeritati quinque addi, unde habemus no-
              <lb/>
            vem: </s>
            <s xml:id="echoid-s6143" xml:space="preserve">corpus P amiſit unum gradum velocitatis, per Reg.
              <lb/>
            </s>
            <s xml:id="echoid-s6144" xml:space="preserve">II. </s>
            <s xml:id="echoid-s6145" xml:space="preserve">amittit duos, ei ergo reſtant ſex.</s>
            <s xml:id="echoid-s6146" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div874" type="section" level="1" n="223">
          <head xml:id="echoid-head315" xml:space="preserve">
            <emph style="sc">Experimentum</emph>
          4.</head>
          <p>
            <s xml:id="echoid-s6147" xml:space="preserve">Corpus P in aliud Q, quieſcens & </s>
            <s xml:id="echoid-s6148" xml:space="preserve">triplum, velocitate
              <lb/>
              <note position="right" xlink:label="note-0223-09" xlink:href="note-0223-09a" xml:space="preserve">572.</note>
            duodecim impingitur, & </s>
            <s xml:id="echoid-s6149" xml:space="preserve">velocitate ſex regreditur. </s>
            <s xml:id="echoid-s6150" xml:space="preserve">In hoc
              <lb/>
              <note position="right" xlink:label="note-0223-10" xlink:href="note-0223-10a" xml:space="preserve">TAB. XXI.
                <lb/>
              fig. 7.</note>
            caſu corpora non elaſtica moverentur celeritate tria; </s>
            <s xml:id="echoid-s6151" xml:space="preserve">cor-
              <lb/>
            pus ergo Pamiſiſſet novem gradus velocitatis, amittit ergo per
              <lb/>
            Reg. </s>
            <s xml:id="echoid-s6152" xml:space="preserve">II. </s>
            <s xml:id="echoid-s6153" xml:space="preserve"> octodecim gradus; </s>
            <s xml:id="echoid-s6154" xml:space="preserve">qui ſi ſubtrahantur a priori
              <note symbol="*" position="right" xlink:label="note-0223-11" xlink:href="note-0223-11a" xml:space="preserve">568.</note>
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