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

Table of figures

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              <pb o="178" file="0254" n="277" rhead="PHYSICES ELEMENTA"/>
            modo in hoc caſu ſeparatio determinetur in Scholio 2.
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            </s>
            <s xml:id="echoid-s6994" xml:space="preserve">videbimus.</s>
            <s xml:id="echoid-s6995" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6996" xml:space="preserve">Quomodo duo corpora, directionibus diverſis mota, in
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            tertium eodem momento directè incurrentia hoc agitent,
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            etiam explicabimus.</s>
            <s xml:id="echoid-s6997" xml:space="preserve"/>
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          <p>
            <s xml:id="echoid-s6998" xml:space="preserve">Dentur corporaA,B, directè eodem momento, velocitatibus
              <lb/>
              <note position="left" xlink:label="note-0254-01" xlink:href="note-0254-01a" xml:space="preserve">634.</note>
            quibuſcunque, incurrentia in corpus quieſcens C, directio-
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              <note position="left" xlink:label="note-0254-02" xlink:href="note-0254-02a" xml:space="preserve">
                <emph style="sc">TA. XXV.</emph>
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              fig 6.7.</note>
            nibus AK, BK. </s>
            <s xml:id="echoid-s6999" xml:space="preserve">Productis hiſce directionibus, ſint KD velo-
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            citas corporis A, & </s>
            <s xml:id="echoid-s7000" xml:space="preserve">KE corporis B celeritas; </s>
            <s xml:id="echoid-s7001" xml:space="preserve">erigantur
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            D Fad K D normalis, & </s>
            <s xml:id="echoid-s7002" xml:space="preserve">EG cum K E angulum rectum
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            efficiens; </s>
            <s xml:id="echoid-s7003" xml:space="preserve">dividatur KD in H ita, ut KH ſe habeat ad
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            HD, ut maſſa corporis A ad maſſam C; </s>
            <s xml:id="echoid-s7004" xml:space="preserve">eodem modo di-
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            videnda eſt KE in L, ut KL ſit LE; </s>
            <s xml:id="echoid-s7005" xml:space="preserve">ut maſſa B ad maſ-
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            ſam C. </s>
            <s xml:id="echoid-s7006" xml:space="preserve">Ductis nunc F H, GL, ſeſe mutuo interſecanti-
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            bus in N, linea K N ſitu directionem, & </s>
            <s xml:id="echoid-s7007" xml:space="preserve">longitudine velo-
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            citatem, demonſtrabit corporis C poſt ictum.</s>
            <s xml:id="echoid-s7008" xml:space="preserve"/>
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          <p>
            <s xml:id="echoid-s7009" xml:space="preserve">Corpora autem A & </s>
            <s xml:id="echoid-s7010" xml:space="preserve">B in lineis K D, K E, motum con-
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            tinuant, cum nullâ actione horum directio mutari poſſit.
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            </s>
            <s xml:id="echoid-s7011" xml:space="preserve">Velocitates verò determinantur dimiſſis ex N ad KD & </s>
            <s xml:id="echoid-s7012" xml:space="preserve">KE
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            perpendicularibus NI, NM; </s>
            <s xml:id="echoid-s7013" xml:space="preserve">eſtque KI corporis A, & </s>
            <s xml:id="echoid-s7014" xml:space="preserve">
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            K M corporis B velocitas poſt ictum.</s>
            <s xml:id="echoid-s7015" xml:space="preserve"/>
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            <s xml:id="echoid-s7016" xml:space="preserve">Nulla datur actio qua corpora A & </s>
            <s xml:id="echoid-s7017" xml:space="preserve">Cin ictu directo, cum
              <lb/>
              <note position="left" xlink:label="note-0254-03" xlink:href="note-0254-03a" xml:space="preserve">635.</note>
            non ſint elaſtica, ſeparari poſſint ; </s>
            <s xml:id="echoid-s7018" xml:space="preserve">& </s>
            <s xml:id="echoid-s7019" xml:space="preserve">licet actione
              <note symbol="*" position="left" xlink:label="note-0254-04" xlink:href="note-0254-04a" xml:space="preserve">484.</note>
            ris B moveatur corpus C, eo quidem minuitur actio corpo-
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            ris A, ſed non C ab A juxta directionem KD ſeparat; </s>
            <s xml:id="echoid-s7020" xml:space="preserve">tunc
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            enim C ab actione ipſius A ſubduceret; </s>
            <s xml:id="echoid-s7021" xml:space="preserve">ergo poſt ictum A
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            & </s>
            <s xml:id="echoid-s7022" xml:space="preserve">C eadem velocitate moventur juxta directionem K D;
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            </s>
            <s xml:id="echoid-s7023" xml:space="preserve">idcirco ſi C percurrit AN, velocitate quam hac lineâ ex-
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            primimus, movebitur A velocitate KI; </s>
            <s xml:id="echoid-s7024" xml:space="preserve">motus enim per KN,
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            juxta directionem K D, nil continet præter velocitatem
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            KI ; </s>
            <s xml:id="echoid-s7025" xml:space="preserve">& </s>
            <s xml:id="echoid-s7026" xml:space="preserve">corpus A amittet velocitatem DI.</s>
            <s xml:id="echoid-s7027" xml:space="preserve"/>
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          <note symbol="*" position="left" xml:space="preserve">603.</note>
          <p>
            <s xml:id="echoid-s7028" xml:space="preserve">Ulterius ad hoc debemus attendere, ductis lineis
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            NO, NP, parallelis KE & </s>
            <s xml:id="echoid-s7029" xml:space="preserve">KD, corpus C impactucor-
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            porum A & </s>
            <s xml:id="echoid-s7030" xml:space="preserve">B eodem tempore juxta directiones K O & </s>
            <s xml:id="echoid-s7031" xml:space="preserve">
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            KP propelli, & </s>
            <s xml:id="echoid-s7032" xml:space="preserve">quidem velocitatibus hiſce lineis </s>
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