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

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              <pb o="135" file="0201" n="219" rhead="MATHEMATICA. LIB. I. CAP. XXIII."/>
            drus ſæpius memoratus F, & </s>
            <s xml:id="echoid-s5365" xml:space="preserve">cylindrus cavus argillam
              <lb/>
            continens H (Fig. </s>
            <s xml:id="echoid-s5366" xml:space="preserve">5. </s>
            <s xml:id="echoid-s5367" xml:space="preserve">Tab. </s>
            <s xml:id="echoid-s5368" xml:space="preserve">18.)</s>
            <s xml:id="echoid-s5369" xml:space="preserve">, qui cum præcedenti ſit
              <lb/>
            ejuſdem ponderis.</s>
            <s xml:id="echoid-s5370" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5371" xml:space="preserve">Sublatis his incurrant in ſe mutuo uterque velocitate de-
              <lb/>
              <note position="right" xlink:label="note-0201-01" xlink:href="note-0201-01a" xml:space="preserve">
                <emph style="sc">TAB. XIX.</emph>
                <lb/>
              fig. 8.</note>
            cem, cylindrus D cum cylindro cavo argillam continenti G,
              <lb/>
            qui etiam æqualiter ponderent.</s>
            <s xml:id="echoid-s5372" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5373" xml:space="preserve">Tandem ſublato cylindro D, & </s>
            <s xml:id="echoid-s5374" xml:space="preserve">ſubſtituto cylindro F,
              <lb/>
              <note position="right" xlink:label="note-0201-02" xlink:href="note-0201-02a" xml:space="preserve">
                <emph style="sc">TAB. XIX.</emph>
                <lb/>
              fig. 2.</note>
            unitâque iterum argillâ cylindri G, incurrant hi in ſe invi-
              <lb/>
            cem iiſdem velocitatibus, quibus in jam memoratis im-
              <lb/>
            pactionibus fuere agitati, id eſt, ut in Exp. </s>
            <s xml:id="echoid-s5375" xml:space="preserve">3°. </s>
            <s xml:id="echoid-s5376" xml:space="preserve">hic velocitate
              <lb/>
            decem, ille velocitate quinque.</s>
            <s xml:id="echoid-s5377" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5378" xml:space="preserve">In hiſce tribus occaſionibus poſt ictum corpora quieſcunt;
              <lb/>
            </s>
            <s xml:id="echoid-s5379" xml:space="preserve">cavitates autem ſunt inæquales. </s>
            <s xml:id="echoid-s5380" xml:space="preserve">In primo caſu eſt omnium
              <lb/>
            minima, repræſentatur in T; </s>
            <s xml:id="echoid-s5381" xml:space="preserve">in ſecundo eſt omnium maxima,
              <lb/>
              <note position="right" xlink:label="note-0201-03" xlink:href="note-0201-03a" xml:space="preserve">
                <emph style="sc">TAB. XIX</emph>
                <lb/>
              fig. 3.</note>
            vide X; </s>
            <s xml:id="echoid-s5382" xml:space="preserve">in tertio media eſt, delineatur in V: </s>
            <s xml:id="echoid-s5383" xml:space="preserve">& </s>
            <s xml:id="echoid-s5384" xml:space="preserve">quidem ſunt
              <lb/>
            cavitates in proportione arithmetica, ut ipſæ vires ictibus
              <lb/>
            deſtructæ. </s>
            <s xml:id="echoid-s5385" xml:space="preserve">In primo caſu maſſæ ſingulæ valent quatuor
              <lb/>
            velocitate quinque corpus utrumque fertur, id eſt utriuſque
              <lb/>
            vis eſt centum & </s>
            <s xml:id="echoid-s5386" xml:space="preserve">vis deſtructa valet ducenta.</s>
            <s xml:id="echoid-s5387" xml:space="preserve">
              <note symbol="*" position="right" xlink:label="note-0201-04" xlink:href="note-0201-04a" xml:space="preserve">470.</note>
            </s>
          </p>
          <p>
            <s xml:id="echoid-s5388" xml:space="preserve">In Secundo caſu utriuſque corporis maſſa eſt duo, & </s>
            <s xml:id="echoid-s5389" xml:space="preserve">
              <lb/>
            velocitas decem; </s>
            <s xml:id="echoid-s5390" xml:space="preserve">ergo vis ducenta ; </s>
            <s xml:id="echoid-s5391" xml:space="preserve">& </s>
            <s xml:id="echoid-s5392" xml:space="preserve">vis
              <note symbol="*" position="right" xlink:label="note-0201-05" xlink:href="note-0201-05a" xml:space="preserve">470</note>
            quadringenta, in hoc etiam caſu cavitas dupla eſt cavitatis
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            præcedentis.</s>
            <s xml:id="echoid-s5393" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5394" xml:space="preserve">In tertio caſu unius corporis vis eſt centum, alterius valet
              <lb/>
            ducenta & </s>
            <s xml:id="echoid-s5395" xml:space="preserve">vis quæ deſtructa eſt valet trecenta; </s>
            <s xml:id="echoid-s5396" xml:space="preserve">cavitasideo
              <lb/>
            media eſt inter cavitates præcedentes.</s>
            <s xml:id="echoid-s5397" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5398" xml:space="preserve">Si in experimento tertio vis minor augeatur, ita tamen
              <lb/>
              <note position="right" xlink:label="note-0201-06" xlink:href="note-0201-06a" xml:space="preserve">507.</note>
            ut vim alterius corporis nondum æquet, corpus, cujus vis
              <lb/>
            minor erit, corpus majori vi motum regredi coget; </s>
            <s xml:id="echoid-s5399" xml:space="preserve">directo
              <lb/>
            in hoc caſu experimento demonſtramus vim corporis victi,
              <lb/>
            alterius vim ſuperare; </s>
            <s xml:id="echoid-s5400" xml:space="preserve">eodem modo ac in Exp. </s>
            <s xml:id="echoid-s5401" xml:space="preserve">4. </s>
            <s xml:id="echoid-s5402" xml:space="preserve">demon-
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            ſtravimus vires in Exp. </s>
            <s xml:id="echoid-s5403" xml:space="preserve">3. </s>
            <s xml:id="echoid-s5404" xml:space="preserve">fuiſſe inæquales.</s>
            <s xml:id="echoid-s5405" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5406" xml:space="preserve">Vis corpori inſita alterius vim nunquam immediate de-
              <lb/>
              <note position="right" xlink:label="note-0201-07" xlink:href="note-0201-07a" xml:space="preserve">508.</note>
            ſtruit , perit hæc actione qua partes intropremuntur ,
              <note symbol="*" position="right" xlink:label="note-0201-08" xlink:href="note-0201-08a" xml:space="preserve">489.</note>
              <note symbol="*" position="right" xlink:label="note-0201-09" xlink:href="note-0201-09a" xml:space="preserve">488.</note>
            ut corpus eo majorem amittat vim, quo majorem patitur re-
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            ſiſtentiam; </s>
            <s xml:id="echoid-s5407" xml:space="preserve">ſed hæc a materiæ inertiâ & </s>
            <s xml:id="echoid-s5408" xml:space="preserve">a vi contrariâ </s>
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