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

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              <pb o="171" file="0245" n="267" rhead="MATHEMATICA. LIB. I. CAP. XXVI."/>
            ſuſpenduntur globus P, & </s>
            <s xml:id="echoid-s6711" xml:space="preserve">unus ex globis Q. </s>
            <s xml:id="echoid-s6712" xml:space="preserve">Planis ad angulum
              <lb/>
            rectum diſpoſitis, quacunque directione, & </s>
            <s xml:id="echoid-s6713" xml:space="preserve">à quacunque
              <lb/>
            altitudine cadendo, corpus P impingatur in corpus Q, poſt
              <lb/>
            impactum corpora directiones planorum ſequuntur.</s>
            <s xml:id="echoid-s6714" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6715" xml:space="preserve">Ex iiſdem principiis etiam deducitur motus duorum cor-
              <lb/>
              <note position="right" xlink:label="note-0245-01" xlink:href="note-0245-01a" xml:space="preserve">617</note>
            porum poſt percuſſionem, quando ambo moventur, quo-
              <lb/>
            modocunque in ſe mutuo ferantur. </s>
            <s xml:id="echoid-s6716" xml:space="preserve">Caſus præcipui repræ-
              <lb/>
            ſentantur in Tab. </s>
            <s xml:id="echoid-s6717" xml:space="preserve">XXIII, & </s>
            <s xml:id="echoid-s6718" xml:space="preserve">omnes eodem modo reſolvun-
              <lb/>
            tur.</s>
            <s xml:id="echoid-s6719" xml:space="preserve"/>
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          <p>
            <s xml:id="echoid-s6720" xml:space="preserve">Corpus P moveatur directione & </s>
            <s xml:id="echoid-s6721" xml:space="preserve">celeritate P A; </s>
            <s xml:id="echoid-s6722" xml:space="preserve">corpus
              <lb/>
              <note position="right" xlink:label="note-0245-02" xlink:href="note-0245-02a" xml:space="preserve">
                <emph style="sc">TAB. XXIII.</emph>
                <lb/>
              fig 7. 8. 9.
                <lb/>
              10. 11. &
                <lb/>
              12.</note>
            Q directione & </s>
            <s xml:id="echoid-s6723" xml:space="preserve">celeritate Q a; </s>
            <s xml:id="echoid-s6724" xml:space="preserve">ducatur linea B b, tranſiens
              <lb/>
            per amborum corporum centra ubiſeſe mutuo tangunt; </s>
            <s xml:id="echoid-s6725" xml:space="preserve">ad
              <lb/>
            illam ſint CA & </s>
            <s xml:id="echoid-s6726" xml:space="preserve">c a perpendiculares, & </s>
            <s xml:id="echoid-s6727" xml:space="preserve">abſolvantur pa-
              <lb/>
            rallelogramma PBAC & </s>
            <s xml:id="echoid-s6728" xml:space="preserve">Q b a c. </s>
            <s xml:id="echoid-s6729" xml:space="preserve">Motus corporis P re-
              <lb/>
            ſolvitur in duos alios, quorum celeritates & </s>
            <s xml:id="echoid-s6730" xml:space="preserve">directiones
              <lb/>
            deſignant CA, BA. </s>
            <s xml:id="echoid-s6731" xml:space="preserve">Motus, in quos reſolvitur motus cor-
              <lb/>
            poris Q, deſignantur per c a, b a . </s>
            <s xml:id="echoid-s6732" xml:space="preserve">Motibus per CA & </s>
            <s xml:id="echoid-s6733" xml:space="preserve">c
              <note symbol="*" position="right" xlink:label="note-0245-03" xlink:href="note-0245-03a" xml:space="preserve">604</note>
            corpora non agunt in ſe mutuo, non mutantur ergo hi mo-
              <lb/>
            tus, & </s>
            <s xml:id="echoid-s6734" xml:space="preserve">poſt occurſum deſignantur per A E & </s>
            <s xml:id="echoid-s6735" xml:space="preserve">a e, ipſis AC
              <lb/>
            & </s>
            <s xml:id="echoid-s6736" xml:space="preserve">a c æquales; </s>
            <s xml:id="echoid-s6737" xml:space="preserve">percuſſio ex motibus per lineas B A, b a eſt
              <lb/>
            directa, & </s>
            <s xml:id="echoid-s6738" xml:space="preserve">determinatur in capitibus
              <emph style="sc">XXIII. XXIV.</emph>
            : </s>
            <s xml:id="echoid-s6739" xml:space="preserve">ſit mo-
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            tus corporis P verſus D, & </s>
            <s xml:id="echoid-s6740" xml:space="preserve">ejus celeritas AD; </s>
            <s xml:id="echoid-s6741" xml:space="preserve">corporis Q
              <lb/>
            motus verſus d, & </s>
            <s xml:id="echoid-s6742" xml:space="preserve">ejus celeritas a d. </s>
            <s xml:id="echoid-s6743" xml:space="preserve">Poſt occurſum ergo
              <lb/>
            motus corporis P componitur ex motibus per AE & </s>
            <s xml:id="echoid-s6744" xml:space="preserve">AD,
              <lb/>
            & </s>
            <s xml:id="echoid-s6745" xml:space="preserve">movetur per diagonalem A p Corporis Q motus poſt
              <lb/>
            impactum componitur ex motibus per a e & </s>
            <s xml:id="echoid-s6746" xml:space="preserve">a d, unde cor-
              <lb/>
            pus illud fertur per diagonalem a q; </s>
            <s xml:id="echoid-s6747" xml:space="preserve">& </s>
            <s xml:id="echoid-s6748" xml:space="preserve">longitudines illarum
              <lb/>
            diagonalium celeritates corporum poſt occurſum denotant .</s>
            <s xml:id="echoid-s6749" xml:space="preserve">
              <note symbol="*" position="right" xlink:label="note-0245-04" xlink:href="note-0245-04a" xml:space="preserve">246.</note>
            In Fig. </s>
            <s xml:id="echoid-s6750" xml:space="preserve">7. </s>
            <s xml:id="echoid-s6751" xml:space="preserve">8. </s>
            <s xml:id="echoid-s6752" xml:space="preserve">& </s>
            <s xml:id="echoid-s6753" xml:space="preserve">9. </s>
            <s xml:id="echoid-s6754" xml:space="preserve">corpora non elaſtica ponuntur. </s>
            <s xml:id="echoid-s6755" xml:space="preserve">Fig. </s>
            <s xml:id="echoid-s6756" xml:space="preserve">10.
              <lb/>
            </s>
            <s xml:id="echoid-s6757" xml:space="preserve">11. </s>
            <s xml:id="echoid-s6758" xml:space="preserve">& </s>
            <s xml:id="echoid-s6759" xml:space="preserve">12. </s>
            <s xml:id="echoid-s6760" xml:space="preserve">eoſdem caſus datis corporibus elaſticis repræſen-
              <lb/>
            tant. </s>
            <s xml:id="echoid-s6761" xml:space="preserve">In fig. </s>
            <s xml:id="echoid-s6762" xml:space="preserve">7. </s>
            <s xml:id="echoid-s6763" xml:space="preserve">litteræ quædam deſunt, quia puncta ipſis
              <lb/>
            deſignata cum aliis coincidunt.</s>
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