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

Table of Notes

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              <pb o="115" file="0175" n="190" rhead="MATHEMATICA. LIB. I. CAP. XXII."/>
            quadrupla verò ſi ponatur RR inter regulas b, b.</s>
            <s xml:id="echoid-s4715" xml:space="preserve"/>
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        <div xml:id="echoid-div689" type="section" level="1" n="189">
          <head xml:id="echoid-head271" xml:space="preserve">
            <emph style="sc">Experimenta i
              <emph style="super">2</emph>
            </emph>
          </head>
          <p>
            <s xml:id="echoid-s4716" xml:space="preserve">Poſitâ regulâ RR, inter regulas e, e ſucceſſive dimittantur
              <lb/>
              <note position="right" xlink:label="note-0175-01" xlink:href="note-0175-01a" xml:space="preserve">452.</note>
            globi ænei tres, hiſce oleo antea illinitis; </s>
            <s xml:id="echoid-s4717" xml:space="preserve">hi argillâ pro parte
              <lb/>
              <note position="right" xlink:label="note-0175-02" xlink:href="note-0175-02a" xml:space="preserve">
                <emph style="sc">TAB. XVI.</emph>
                <lb/>
              ſig. 3. 5.</note>
            immerguntur cavitateſque formant, eo majoresquo globi gra-
              <lb/>
            viores ſunt. </s>
            <s xml:id="echoid-s4718" xml:space="preserve">Cavitates tres A, B, C, repræſentantur in fig. </s>
            <s xml:id="echoid-s4719" xml:space="preserve">5.</s>
            <s xml:id="echoid-s4720" xml:space="preserve">;
              <lb/>
            punctis notatæ lineæ cavitatum profunditates demonſtrant.</s>
            <s xml:id="echoid-s4721" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4722" xml:space="preserve">Leviori globo cavitas A formata eſt, globum hunc voca-
              <lb/>
            mus primum; </s>
            <s xml:id="echoid-s4723" xml:space="preserve">ſecundum dicimus illum cujus pondus du-
              <lb/>
            plum eſt, & </s>
            <s xml:id="echoid-s4724" xml:space="preserve">qui cavitatem formavit B; </s>
            <s xml:id="echoid-s4725" xml:space="preserve">tandem tertium vo-
              <lb/>
            camus globum ſolidum, cujus pondus eſt primi triplum, & </s>
            <s xml:id="echoid-s4726" xml:space="preserve">
              <lb/>
            qui cadendo ab altitudine novem pollicum cavitatem forma-
              <lb/>
            vit C.</s>
            <s xml:id="echoid-s4727" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4728" xml:space="preserve">Si regula RR poſita ſit inter regulas f, f, & </s>
            <s xml:id="echoid-s4729" xml:space="preserve">globi dimit-
              <lb/>
              <note position="right" xlink:label="note-0175-03" xlink:href="note-0175-03a" xml:space="preserve">453.</note>
            tantur, cavitates formantur, quæ infig. </s>
            <s xml:id="echoid-s4730" xml:space="preserve">5. </s>
            <s xml:id="echoid-s4731" xml:space="preserve">notantur litteris B,
              <lb/>
            D, E.</s>
            <s xml:id="echoid-s4732" xml:space="preserve"/>
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          <p>
            <s xml:id="echoid-s4733" xml:space="preserve">Si RR detur inter g, g, & </s>
            <s xml:id="echoid-s4734" xml:space="preserve">globi primus & </s>
            <s xml:id="echoid-s4735" xml:space="preserve">ſecundus di-
              <lb/>
              <note position="right" xlink:label="note-0175-04" xlink:href="note-0175-04a" xml:space="preserve">454.</note>
            mittantur, cavitates formantur C, E. </s>
            <s xml:id="echoid-s4736" xml:space="preserve">(fig. </s>
            <s xml:id="echoid-s4737" xml:space="preserve">5.)</s>
            <s xml:id="echoid-s4738" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4739" xml:space="preserve">Tandem dimiſſo ab altitudine maximâ, poſitâ RR inter
              <lb/>
              <note position="right" xlink:label="note-0175-05" xlink:href="note-0175-05a" xml:space="preserve">455.</note>
            b, b, globo primo cavitas formatur D. </s>
            <s xml:id="echoid-s4740" xml:space="preserve">(fig. </s>
            <s xml:id="echoid-s4741" xml:space="preserve">5.)</s>
            <s xml:id="echoid-s4742" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4743" xml:space="preserve">Ipſæ autem cavitates ſunt ſphæræ ſegmenta quæ ſunt in-
              <lb/>
              <note position="right" xlink:label="note-0175-06" xlink:href="note-0175-06a" xml:space="preserve">456.</note>
            ter ſe ut numeri in ipſis poſiti 1. </s>
            <s xml:id="echoid-s4744" xml:space="preserve">2. </s>
            <s xml:id="echoid-s4745" xml:space="preserve">3. </s>
            <s xml:id="echoid-s4746" xml:space="preserve">4. </s>
            <s xml:id="echoid-s4747" xml:space="preserve">6.</s>
            <s xml:id="echoid-s4748" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4749" xml:space="preserve">Ut pateat, his Experimentis, quæ de viribus ſunt demon-
              <lb/>
            ſtrata, confirmari, conſiderandum, vim inſitam illud eſſe
              <lb/>
              <note position="right" xlink:label="note-0175-07" xlink:href="note-0175-07a" xml:space="preserve">457.</note>
            (quodcunque hoc fuerit) quod datur in corpore moto, & </s>
            <s xml:id="echoid-s4750" xml:space="preserve">
              <lb/>
            non datur in corpore quieſcente, id eſt, illud quo corpus
              <lb/>
            motum, in obſtaculum incurrens, in hoc agit; </s>
            <s xml:id="echoid-s4751" xml:space="preserve">Corpus autem
              <lb/>
            ipſum dumagit, nullam patitur actionem, exceptâ reactione
              <lb/>
            ex obſtaculi reſiſtentiâ, quæ reactio cum actioni æqualis ſit
              <note symbol="*" position="right" xlink:label="note-0175-08" xlink:href="note-0175-08a" xml:space="preserve">247.</note>
            ſequitur corpus pati quantum agit; </s>
            <s xml:id="echoid-s4752" xml:space="preserve">& </s>
            <s xml:id="echoid-s4753" xml:space="preserve">actionis effectum in
              <lb/>
              <note position="right" xlink:label="note-0175-09" xlink:href="note-0175-09a" xml:space="preserve">458.</note>
            obſtaculum ſequi rationem ipſius vis amiſſæ, diminutio
              <lb/>
            enim ipſius vis eſt effectus reactionis; </s>
            <s xml:id="echoid-s4754" xml:space="preserve">unde deducimus, vi-
              <lb/>
            res integras proportionales eſſe effectibus quibus conſumun-
              <lb/>
            tur, quod etiam aliâ conſideratione evidens eſt.</s>
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          <p>
            <s xml:id="echoid-s4756" xml:space="preserve">Quo major eſt reſiſtentia quam patitur corpus, quo ipſi-
              <lb/>
            us actio inſtantanea major eſt, & </s>
            <s xml:id="echoid-s4757" xml:space="preserve">eo citius integram </s>
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