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

Table of Notes

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            vim, effectum tamen æqualem edit; </s>
            <s xml:id="echoid-s4758" xml:space="preserve">nam vis quæ reſiſten-
              <lb/>
            tiâ deſtruitur, proportionem ſequitur ipſius reſiſtentiæ, & </s>
            <s xml:id="echoid-s4759" xml:space="preserve">
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            temporis per quod egit, id eſt vis amiſſa ſequitur rationem
              <lb/>
            compoſitam reſiſtentiæ & </s>
            <s xml:id="echoid-s4760" xml:space="preserve">temporis; </s>
            <s xml:id="echoid-s4761" xml:space="preserve">quam eandem ratio-
              <lb/>
            nem ſequitur actio corporis, & </s>
            <s xml:id="echoid-s4762" xml:space="preserve">effectus quem edit;</s>
            <s xml:id="echoid-s4763" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s4764" xml:space="preserve">Ita ut iterum pateat vim amiſſam effectui, quem edit dum de-
              <lb/>
              <note position="left" xlink:label="note-0176-01" xlink:href="note-0176-01a" xml:space="preserve">459.</note>
            ſtruitur, proportionalem eſſe, ſive breviori ſive longiori tem-
              <lb/>
            pore deſtruatur.</s>
            <s xml:id="echoid-s4765" xml:space="preserve"/>
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            <s xml:id="echoid-s4766" xml:space="preserve">Actio preſſionis eſt indeterminata, & </s>
            <s xml:id="echoid-s4767" xml:space="preserve">manente intenſitate
              <lb/>
              <note position="left" xlink:label="note-0176-02" xlink:href="note-0176-02a" xml:space="preserve">460.</note>
            ſequitur rationem temporis per quodegit. </s>
            <s xml:id="echoid-s4768" xml:space="preserve">Vis autem corpo-
              <lb/>
            ri inſita, datis ipſius maſſâ, & </s>
            <s xml:id="echoid-s4769" xml:space="preserve">velocitate, determinata eſt,
              <lb/>
            & </s>
            <s xml:id="echoid-s4770" xml:space="preserve">determinatum tantum edere poteſt effectum, quod brevio-
              <lb/>
            ri aut longiori præſtatur tempore; </s>
            <s xml:id="echoid-s4771" xml:space="preserve">pro majori aut minori, quam
              <lb/>
            patitur, reſiſtentia .</s>
            <s xml:id="echoid-s4772" xml:space="preserve"/>
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          <note symbol="*" position="left" xml:space="preserve">459.</note>
          <p>
            <s xml:id="echoid-s4773" xml:space="preserve">Quando corpus cavitatem formando in argillâ, mo-
              <lb/>
              <note position="left" xlink:label="note-0176-04" xlink:href="note-0176-04a" xml:space="preserve">461.</note>
            tum cadendo acquiſitum amittit, ſuperat preſſionem qua
              <lb/>
            partes argillæ inter ſe cohærent, & </s>
            <s xml:id="echoid-s4774" xml:space="preserve">reſiſtentiâ, quam hanc
              <lb/>
            ſuperando preſſionem patitur, vis ipſa minuitur, & </s>
            <s xml:id="echoid-s4775" xml:space="preserve">tandem
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            in totum deſtruitur; </s>
            <s xml:id="echoid-s4776" xml:space="preserve">effectus ergo vis, in hoc caſu dum cor-
              <lb/>
            pus amittit motum, eſt ſeparatio partium argillæ dum juxta
              <lb/>
            ſe invicem hæ moventur, qui effectus proportionem ſequitur
              <lb/>
            numeri particularum mot arum, & </s>
            <s xml:id="echoid-s4777" xml:space="preserve">ſpatiiab his in motu juxta
              <lb/>
            ſe invicem percurſi, & </s>
            <s xml:id="echoid-s4778" xml:space="preserve">ſive hoc lentius ſive celerius fiat,
              <lb/>
            cohæſio fuperanda eadem eſt, & </s>
            <s xml:id="echoid-s4779" xml:space="preserve">evidentiſſimum eſt in du-
              <lb/>
            bium minime vocari poſſe, Vires eſſe æquales quæ forman-
              <lb/>
              <note position="left" xlink:label="note-0176-05" xlink:href="note-0176-05a" xml:space="preserve">462.</note>
            do in eâdem argillâ cavitates æquales, & </s>
            <s xml:id="echoid-s4780" xml:space="preserve">ſimiles, conſumun-
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            tur.</s>
            <s xml:id="echoid-s4781" xml:space="preserve"/>
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          <p>
            <s xml:id="echoid-s4782" xml:space="preserve">Dimiſſis globis tribus ab altitudine novem pollicum vires
              <lb/>
              <note position="left" xlink:label="note-0176-06" xlink:href="note-0176-06a" xml:space="preserve">463.</note>
              <note position="left" xlink:label="note-0176-07" xlink:href="note-0176-07a" xml:space="preserve">
                <emph style="sc">TAB. XVI.</emph>
                <lb/>
              ſig. 5.</note>
            ſunt ut 1. </s>
            <s xml:id="echoid-s4783" xml:space="preserve">2. </s>
            <s xml:id="echoid-s4784" xml:space="preserve">3. </s>
            <s xml:id="echoid-s4785" xml:space="preserve"> cavitates formantur A, B, C ; </s>
            <s xml:id="echoid-s4786" xml:space="preserve">
              <note symbol="*" position="left" xlink:label="note-0176-08" xlink:href="note-0176-08a" xml:space="preserve">450.</note>
              <note symbol="*" position="left" xlink:label="note-0176-09" xlink:href="note-0176-09a" xml:space="preserve">452.</note>
            hiſce æquales habemus ſi globus primus ſucceſſivè dimitta-
              <lb/>
            tur ab altitudinibus novem , octodecim & </s>
            <s xml:id="echoid-s4787" xml:space="preserve">viginti
              <note symbol="*" position="left" xlink:label="note-0176-10" xlink:href="note-0176-10a" xml:space="preserve">452.</note>
              <note symbol="*" position="left" xlink:label="note-0176-11" xlink:href="note-0176-11a" xml:space="preserve">553.</note>
            pollicum ; </s>
            <s xml:id="echoid-s4788" xml:space="preserve">in hoc ergo caſu vires ſunt ut altitudines, id
              <note symbol="*" position="left" xlink:label="note-0176-12" xlink:href="note-0176-12a" xml:space="preserve">454.</note>
            ut quadrata velocitatum .</s>
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          <note symbol="*" position="left" xml:space="preserve">255.</note>
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            <s xml:id="echoid-s4790" xml:space="preserve">Si globus primus & </s>
            <s xml:id="echoid-s4791" xml:space="preserve">ſecundus dimittantur ab altitudine
              <lb/>
            octodecim pollicum vires ſunt ut 1, 2 , & </s>
            <s xml:id="echoid-s4792" xml:space="preserve">cavitates
              <note symbol="*" position="left" xlink:label="note-0176-14" xlink:href="note-0176-14a" xml:space="preserve">450.</note>
            tur B & </s>
            <s xml:id="echoid-s4793" xml:space="preserve">D ; </s>
            <s xml:id="echoid-s4794" xml:space="preserve">hiſce æquales habemus ſi globus primus
              <note symbol="*" position="left" xlink:label="note-0176-15" xlink:href="note-0176-15a" xml:space="preserve">453.</note>
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