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

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        <div xml:id="echoid-div951" type="section" level="1" n="240">
          <head xml:id="echoid-head338" xml:space="preserve">CAPUT XXVII.</head>
          <head xml:id="echoid-head339" xml:space="preserve">De Colliſione compoſita.</head>
          <head xml:id="echoid-head340" xml:space="preserve">
            <emph style="sc">Definitio.</emph>
          </head>
          <p>
            <s xml:id="echoid-s6765" xml:space="preserve">COmpoſitam dicimus colliſionem ubi plura dantur quam
              <lb/>
              <note position="left" xlink:label="note-0246-01" xlink:href="note-0246-01a" xml:space="preserve">618</note>
            duo corpor a concurrentia, aut ubi corpus unum in plu-
              <lb/>
            ra plana eodem tempore incurrit.</s>
            <s xml:id="echoid-s6766" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6767" xml:space="preserve">In hoc capite quædam examinabo circa colliſionem tri-
              <lb/>
            um corporum, & </s>
            <s xml:id="echoid-s6768" xml:space="preserve">impactionem corporis in duo pla-
              <lb/>
            na.</s>
            <s xml:id="echoid-s6769" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6770" xml:space="preserve">Corpus P, velocitate AP, incurrit in angulum GCF, juxta
              <lb/>
              <note position="left" xlink:label="note-0246-02" xlink:href="note-0246-02a" xml:space="preserve">619</note>
            directionem AP; </s>
            <s xml:id="echoid-s6771" xml:space="preserve">determinandum qua actione in utrumque
              <lb/>
              <note position="left" xlink:label="note-0246-03" xlink:href="note-0246-03a" xml:space="preserve">
                <emph style="sc">TAB. XXV.</emph>
                <lb/>
              fig 1. 2.</note>
            planum GC & </s>
            <s xml:id="echoid-s6772" xml:space="preserve">FC incurrit.</s>
            <s xml:id="echoid-s6773" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6774" xml:space="preserve">Notandum corpus, integram ſuam amittere vim; </s>
            <s xml:id="echoid-s6775" xml:space="preserve">ponimus
              <lb/>
            enim obſtaculum fixum.</s>
            <s xml:id="echoid-s6776" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6777" xml:space="preserve">Ductis AB & </s>
            <s xml:id="echoid-s6778" xml:space="preserve">AD, quæ cum CG & </s>
            <s xml:id="echoid-s6779" xml:space="preserve">CF angulos effi-
              <lb/>
            ciunt rectos, ſint PE & </s>
            <s xml:id="echoid-s6780" xml:space="preserve">PH ad has reſpectivè parallelæ.</s>
            <s xml:id="echoid-s6781" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6782" xml:space="preserve">Si nunc concipiamus Corpus P, eodem tempore ferri per
              <lb/>
            AE & </s>
            <s xml:id="echoid-s6783" xml:space="preserve">AH, velocitatibus hiſce lineis proportionalibus, revera
              <lb/>
              <note symbol="*" position="left" xlink:label="note-0246-04" xlink:href="note-0246-04a" xml:space="preserve">246.</note>
            movebitur per AP velocitate AP ; </s>
            <s xml:id="echoid-s6784" xml:space="preserve">ideò poſſumus conſi- derare corpus, dum pertingit ad P, agitari velocitatibus
              <lb/>
            HP & </s>
            <s xml:id="echoid-s6785" xml:space="preserve">EP, & </s>
            <s xml:id="echoid-s6786" xml:space="preserve">juxta haſce directiones in plana CG, CF
              <lb/>
            incurrere directè ita ut quæſtio eo reducatur, quibus viribus
              <lb/>
            corpus eodem tempore per AE & </s>
            <s xml:id="echoid-s6787" xml:space="preserve">AH ferri poſſit.</s>
            <s xml:id="echoid-s6788" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6789" xml:space="preserve">Si angulus FCG eſſet rectus, & </s>
            <s xml:id="echoid-s6790" xml:space="preserve">rectus eſſet angulus
              <lb/>
            EAH; </s>
            <s xml:id="echoid-s6791" xml:space="preserve">idcirco motus hi neque contrarie agerent, neque
              <lb/>
            ad eandem partem tenderent, & </s>
            <s xml:id="echoid-s6792" xml:space="preserve">quadratis velocitatum AE
              <lb/>
            & </s>
            <s xml:id="echoid-s6793" xml:space="preserve">AH actiones proportionales eſſent .</s>
            <s xml:id="echoid-s6794" xml:space="preserve">
              <note symbol="*" position="left" xlink:label="note-0246-05" xlink:href="note-0246-05a" xml:space="preserve">604.</note>
            </s>
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          <p>
            <s xml:id="echoid-s6795" xml:space="preserve">Ubi autem angulus, quem plana continent, eſt acutus, aut
              <lb/>
            obtuſus; </s>
            <s xml:id="echoid-s6796" xml:space="preserve">ut in hiſce figuris, ducendæ ſunt ad AP perpen-
              <lb/>
            diculares EL, HI. </s>
            <s xml:id="echoid-s6797" xml:space="preserve">In motu per AE continetur motus
              <lb/>
            per AP velocitate AL; </s>
            <s xml:id="echoid-s6798" xml:space="preserve">in motu per AH continetur motus
              <lb/>
            per AP velocitate AI, & </s>
            <s xml:id="echoid-s6799" xml:space="preserve">nil præterea ex motu per A P
              <lb/>
            in his motibus continetur, propter angulum rectum AIH
              <note symbol="*" position="left" xlink:label="note-0246-06" xlink:href="note-0246-06a" xml:space="preserve">603.</note>
            Ita ut non interſit, quantum ad motum corporis, utrum </s>
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