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

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        <div xml:id="echoid-div939" type="section" level="1" n="237">
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            <s xml:id="echoid-s6643" xml:space="preserve">
              <pb o="169" file="0241" n="262" rhead="MATHEMATICA. LIB. I. CAP. XXVI."/>
            perpendicularis PB, & </s>
            <s xml:id="echoid-s6644" xml:space="preserve">abſolvatur parallelogrammum ABPC;
              <lb/>
            </s>
            <s xml:id="echoid-s6645" xml:space="preserve">motus per PA reſolvitur in duos alios per PB & </s>
            <s xml:id="echoid-s6646" xml:space="preserve">PC, aut
              <lb/>
            BA, CA ; </s>
            <s xml:id="echoid-s6647" xml:space="preserve">motu per CA corpus P non agit in corpus Q;</s>
            <s xml:id="echoid-s6648" xml:space="preserve">
              <note symbol="*" position="right" xlink:label="note-0241-01" xlink:href="note-0241-01a" xml:space="preserve">604.</note>
            actio ergo oritur ex ſolo motu per BA, id eſt, corpus P,
              <lb/>
              <note position="right" xlink:label="note-0241-02" xlink:href="note-0241-02a" xml:space="preserve">612</note>
            impactu obliquo per PA, celeritate PA, in corpus 2 agit,
              <lb/>
            eodem modo ac ſi directe in illud incurreret per BA, cele-
              <lb/>
            ritate BA. </s>
            <s xml:id="echoid-s6649" xml:space="preserve">Quare motus corporis Q ex illa actione, ſive
              <lb/>
            corpora ſint elaſtica, ſive non, determinatur ex iis quæ de
              <lb/>
            impactu directo dicta ſunt.</s>
            <s xml:id="echoid-s6650" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6651" xml:space="preserve">Motus corporis P poft impactum ex iiſdem principiis de-
              <lb/>
              <note position="right" xlink:label="note-0241-03" xlink:href="note-0241-03a" xml:space="preserve">613</note>
            ducitur Motus per C A non mutatur; </s>
            <s xml:id="echoid-s6652" xml:space="preserve">ergo motu illo
              <lb/>
            æquali celeritate corpus P fertur, directione AE; </s>
            <s xml:id="echoid-s6653" xml:space="preserve">ſit ideo
              <lb/>
            AE æqualis CA. </s>
            <s xml:id="echoid-s6654" xml:space="preserve">Mutatio in motu BA determinatur re-
              <lb/>
            ſpectu corporis P, eodem modo ac motus corporis Q, ex
              <lb/>
            iis quæ de colliſione directâ explicata ſunt. </s>
            <s xml:id="echoid-s6655" xml:space="preserve">Sit celeritas poſt
              <lb/>
            impactum AD, in ſig. </s>
            <s xml:id="echoid-s6656" xml:space="preserve">11.</s>
            <s xml:id="echoid-s6657" xml:space="preserve">, quando corpus progreditur, & </s>
            <s xml:id="echoid-s6658" xml:space="preserve">
              <lb/>
            in fig. </s>
            <s xml:id="echoid-s6659" xml:space="preserve">12.</s>
            <s xml:id="echoid-s6660" xml:space="preserve">, quando regreditur; </s>
            <s xml:id="echoid-s6661" xml:space="preserve">ex iſto motu & </s>
            <s xml:id="echoid-s6662" xml:space="preserve">motu per
              <lb/>
            AE oritur motus compoſitus per diagonalem A p, quæ ſitu
              <lb/>
            & </s>
            <s xml:id="echoid-s6663" xml:space="preserve">longitudine directionem & </s>
            <s xml:id="echoid-s6664" xml:space="preserve">celeritatem corporis P poſt im-
              <lb/>
            pactum denotat .</s>
            <s xml:id="echoid-s6665" xml:space="preserve"/>
          </p>
          <note symbol="*" position="right" xml:space="preserve">246.</note>
          <p>
            <s xml:id="echoid-s6666" xml:space="preserve">Quando corpora ſunt æqualia & </s>
            <s xml:id="echoid-s6667" xml:space="preserve">elaſtica, totus motus per
              <lb/>
              <note position="right" xlink:label="note-0241-05" xlink:href="note-0241-05a" xml:space="preserve">614.</note>
            BA ex percuſſione deſtruitur , & </s>
            <s xml:id="echoid-s6668" xml:space="preserve">ſolus motus per C A
              <note symbol="*" position="right" xlink:label="note-0241-06" xlink:href="note-0241-06a" xml:space="preserve">581.</note>
            pereſt, qua directione tunc etiam fertur corpus P. </s>
            <s xml:id="echoid-s6669" xml:space="preserve">In hoc
              <lb/>
            caſu ſemper poſt impulſum corpora ambo, quocunque modo
              <lb/>
            corpus P ad aliud accedat, ſeparantur directionibus angulum
              <lb/>
            rectum continentibus.</s>
            <s xml:id="echoid-s6670" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div945" type="section" level="1" n="238">
          <head xml:id="echoid-head336" xml:space="preserve">
            <emph style="sc">Machina</emph>
          .</head>
          <p style="it">
            <s xml:id="echoid-s6671" xml:space="preserve">Qua Experimenta quæ dam de Colliſione obliqua, & </s>
            <s xml:id="echoid-s6672" xml:space="preserve">
              <lb/>
            compoſita, inſtituuntur.</s>
            <s xml:id="echoid-s6673" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6674" xml:space="preserve">Duo plana lignea CDE, CDE, ad formam trianguli rectan-
              <lb/>
              <note position="right" xlink:label="note-0241-07" xlink:href="note-0241-07a" xml:space="preserve">615</note>
            guli, cujus latus CD eſt longitudinis circiter trium pedum
              <lb/>
              <note position="right" xlink:label="note-0241-08" xlink:href="note-0241-08a" xml:space="preserve">
                <emph style="sc">TAB XXIV</emph>
              .
                <lb/>
              fig. 1.</note>
            cum ſemiſſe, latus DE unius pedis cum ſemiſſe, laborata,
              <lb/>
            verticaliter poſita, circa cardines A & </s>
            <s xml:id="echoid-s6675" xml:space="preserve">B convertuntur.</s>
            <s xml:id="echoid-s6676" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6677" xml:space="preserve">Experimenta in hac Machina adhibitis globis eburneis in-
              <lb/>
            ſtituuntur diametri unius pollicis cum ſemiſſe.</s>
            <s xml:id="echoid-s6678" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6679" xml:space="preserve">Plana ita conjunguntur, ut ſi hiſce alia parallela, ad </s>
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