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

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            <s xml:id="echoid-s4634" xml:space="preserve">
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            gradibus varii gradus dentur, & </s>
            <s xml:id="echoid-s4635" xml:space="preserve">poſitis elaſtris ſine inertiâ,
              <lb/>
            ne ad hæc transferenda vis quædam conſumatur, quæ ut
              <lb/>
            Mathematica ſit demonftratio ponenda ſunt. </s>
            <s xml:id="echoid-s4636" xml:space="preserve">Patet ergo
              <lb/>
            vim, qua gradu infinite exiguo corporis celeritas augetur,
              <lb/>
            eo majorem deſiderari, quo corpus majorem jam acquiſivit
              <lb/>
            celeritatem, vimque hanc in ratione celeritatis jam acquiſi-
              <lb/>
            tæ augeri; </s>
            <s xml:id="echoid-s4637" xml:space="preserve">unde ſequitur corpus accelerationi reſiſtere in ra-
              <lb/>
              <note position="left" xlink:label="note-0172-01" xlink:href="note-0172-01a" xml:space="preserve">442.</note>
            tione velocitatis ſuæ. </s>
            <s xml:id="echoid-s4638" xml:space="preserve">Eademque actione gradum quemcun-
              <lb/>
            que velocitatis tolli qua communicari potuit.</s>
            <s xml:id="echoid-s4639" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4640" xml:space="preserve">Unde ſequitur difficilius corpus accelerari quam retarda-
              <lb/>
              <note position="left" xlink:label="note-0172-02" xlink:href="note-0172-02a" xml:space="preserve">443.</note>
            ri. </s>
            <s xml:id="echoid-s4641" xml:space="preserve">Si Ex. </s>
            <s xml:id="echoid-s4642" xml:space="preserve">gr. </s>
            <s xml:id="echoid-s4643" xml:space="preserve">corpus decem habeat gradus velocitatis, mi-
              <lb/>
            nori impetu tollitur decimus, quàm communicatur unde-
              <lb/>
            cimus.</s>
            <s xml:id="echoid-s4644" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4645" xml:space="preserve">Etiam patet, corporis, quod velocitate finita fertur, id
              <lb/>
              <note position="left" xlink:label="note-0172-03" xlink:href="note-0172-03a" xml:space="preserve">444.</note>
            eſt quod habet gradus velocitatis infinitè exiguos infinito nu-
              <lb/>
            mero, velocitatem gradu infinitè exiguo non poſſe augeri,
              <lb/>
            niſi actione in infinitum ſuperante actionem, qua æqualis gra-
              <lb/>
            dus infinite exiguus communicari poſſet corpori quieſcen-
              <lb/>
            ti .</s>
            <s xml:id="echoid-s4646" xml:space="preserve"/>
          </p>
          <note symbol="*" position="left" xml:space="preserve">442.</note>
          <p>
            <s xml:id="echoid-s4647" xml:space="preserve">Et ne quis objiciat demonftrationem locum non habere,
              <lb/>
              <note position="left" xlink:label="note-0172-05" xlink:href="note-0172-05a" xml:space="preserve">445.</note>
            ſi ſucceſſiva non detur, qualem poſuimus, Elaſtrorum re-
              <lb/>
            laxatio; </s>
            <s xml:id="echoid-s4648" xml:space="preserve">ſed velocitatem communicari corpori quieſcenti pro-
              <lb/>
            portionalem numero illorum quæ ſimul relaxantur. </s>
            <s xml:id="echoid-s4649" xml:space="preserve">Reſp.
              <lb/>
            </s>
            <s xml:id="echoid-s4650" xml:space="preserve">Talem quidem eſſe velocitatem Elaſterii primi ſepoſitâ, ut
              <lb/>
            fecimus, horum inertiâ, & </s>
            <s xml:id="echoid-s4651" xml:space="preserve">ſepoſitâ omni actione in corpus; </s>
            <s xml:id="echoid-s4652" xml:space="preserve">
              <lb/>
            poſitâ autem hac negamus velocitate tali moveri elaſterium
              <lb/>
            primum, quod non corpore celerius moveri poteſt; </s>
            <s xml:id="echoid-s4653" xml:space="preserve">hujus
              <lb/>
            autem celeritatem ex præcedenti demonſtratione deduci de-
              <lb/>
            bere liquet, quia relaxatis ſimul elaſteriis, corpus tamen
              <lb/>
            ſucceſſivè omnes gradus velocitatis ſuæ acquirit ita, ut de-
              <lb/>
            monſtrata de diverſis elaſteriis referri debeant in hoc caſu
              <lb/>
            ad ſucceſſivam partium relaxionem in Elaſtris.</s>
            <s xml:id="echoid-s4654" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4655" xml:space="preserve">Ex præcedenti demonſtratione etiam deducimus,
              <note position="left" xlink:label="note-0172-06" xlink:href="note-0172-06a" xml:space="preserve">446.</note>
            quam rationem, auctâ corporis velocitate, augeatur vis cor-
              <lb/>
              <note symbol="*" position="left" xlink:label="note-0172-07" xlink:href="note-0172-07a" xml:space="preserve">441.</note>
            pori inſita. </s>
            <s xml:id="echoid-s4656" xml:space="preserve">Elaſteria ſeſe expandentia agunt in corpus, cui
              <lb/>
            nullum reſiſtit obſtaculum; </s>
            <s xml:id="echoid-s4657" xml:space="preserve">ideo integram qua ſe </s>
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