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

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          <pb o="60" file="0108" n="117" rhead="PHYSICES ELEMENTA"/>
        </div>
        <div xml:id="echoid-div413" type="section" level="1" n="143">
          <head xml:id="echoid-head206" xml:space="preserve">
            <emph style="sc">Definitio</emph>
          2.</head>
          <p>
            <s xml:id="echoid-s2593" xml:space="preserve">Motus retardatus, eſt cujus celeritas omnibus momentis mi-
              <lb/>
              <note position="left" xlink:label="note-0108-01" xlink:href="note-0108-01a" xml:space="preserve">250.</note>
            nuitur.</s>
            <s xml:id="echoid-s2594" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2595" xml:space="preserve">Vis gravitatis in omnia corpora pro quantitate materiæ
              <lb/>
            continuo agit , & </s>
            <s xml:id="echoid-s2596" xml:space="preserve">quæcunque fuerint, gravitate
              <note symbol="*" position="left" xlink:label="note-0108-02" xlink:href="note-0108-02a" xml:space="preserve">124.</note>
            modo moventur. </s>
            <s xml:id="echoid-s2597" xml:space="preserve">Quando corpus liberè cadit, impreſſio
              <lb/>
            primi momenti in ſecundo momento non deſtruitur; </s>
            <s xml:id="echoid-s2598" xml:space="preserve">ergo ei
              <lb/>
            ſuperadditur impreſſio ſecundi momenti, & </s>
            <s xml:id="echoid-s2599" xml:space="preserve">ſic de cæteris;
              <lb/>
            </s>
            <s xml:id="echoid-s2600" xml:space="preserve">motus igitur corporis libere cadentis eſt acceleratus, & </s>
            <s xml:id="echoid-s2601" xml:space="preserve">ex
              <lb/>
              <note position="left" xlink:label="note-0108-03" xlink:href="note-0108-03a" xml:space="preserve">251.</note>
            Phænomenis conſtat motum æquabiliter in temporibus æ-
              <lb/>
            qualibus accelerari; </s>
            <s xml:id="echoid-s2602" xml:space="preserve">quod deduci poteſt ex Exp. </s>
            <s xml:id="echoid-s2603" xml:space="preserve">n. </s>
            <s xml:id="echoid-s2604" xml:space="preserve">277.</s>
            <s xml:id="echoid-s2605" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2606" xml:space="preserve">Unde ſequitur gravitatem eodem modo agere in corpus mo-
              <lb/>
              <note position="left" xlink:label="note-0108-04" xlink:href="note-0108-04a" xml:space="preserve">252.</note>
            tum ac in corpus quieſcens; </s>
            <s xml:id="echoid-s2607" xml:space="preserve">ideò celeritates æquales, in mo-
              <lb/>
            mentis æqualibus, corpori communicat. </s>
            <s xml:id="echoid-s2608" xml:space="preserve">Unde celeritas,
              <lb/>
              <note position="left" xlink:label="note-0108-05" xlink:href="note-0108-05a" xml:space="preserve">253.</note>
            inter cadendum acquiſita, eſt ut tempus, in quo corpus ce-
              <lb/>
            cidit. </s>
            <s xml:id="echoid-s2609" xml:space="preserve">Velocitas ex. </s>
            <s xml:id="echoid-s2610" xml:space="preserve">gr. </s>
            <s xml:id="echoid-s2611" xml:space="preserve">in certo tempore acquiſita erit du-
              <lb/>
            pla, ſi tempus fuerit duplum; </s>
            <s xml:id="echoid-s2612" xml:space="preserve">& </s>
            <s xml:id="echoid-s2613" xml:space="preserve">tripla, ſi tempus triplum,
              <lb/>
            & </s>
            <s xml:id="echoid-s2614" xml:space="preserve">c.</s>
            <s xml:id="echoid-s2615" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2616" xml:space="preserve">Deſignetur tempus per lineam AB, & </s>
            <s xml:id="echoid-s2617" xml:space="preserve">initium temporis ſit
              <lb/>
              <note position="left" xlink:label="note-0108-06" xlink:href="note-0108-06a" xml:space="preserve">254.</note>
            A. </s>
            <s xml:id="echoid-s2618" xml:space="preserve">In triangulo ABE, lineæ 1f, 2g, 3h, quæ parallelæ ad
              <lb/>
              <note position="left" xlink:label="note-0108-07" xlink:href="note-0108-07a" xml:space="preserve">TAB. X.
                <lb/>
              fig. 8.</note>
            baſin, per puncta 1,2,3, ducuntur, ſunt inter ſe ut illarum
              <lb/>
            diſtantiæ ab A, A1, A2, A3; </s>
            <s xml:id="echoid-s2619" xml:space="preserve">id eſt, ut tempora quæ per illas di-
              <lb/>
            ſtantias deſignantur; </s>
            <s xml:id="echoid-s2620" xml:space="preserve">& </s>
            <s xml:id="echoid-s2621" xml:space="preserve">velocitates corporis libere cadentis
              <lb/>
            poſt illa tempora denotant. </s>
            <s xml:id="echoid-s2622" xml:space="preserve">Si pro lineis Mathematicis aliæ
              <lb/>
            adhibeantur cum minima latitudine, unicuique æquali, non
              <lb/>
            eo mutatur proportio; </s>
            <s xml:id="echoid-s2623" xml:space="preserve">& </s>
            <s xml:id="echoid-s2624" xml:space="preserve">hæ minimæ ſuperficies æque præ-
              <lb/>
            dictas velocitates denotant. </s>
            <s xml:id="echoid-s2625" xml:space="preserve">In tempore minimo velocitas
              <lb/>
            pro æquabili haberi poteſt, & </s>
            <s xml:id="echoid-s2626" xml:space="preserve">ideo ſpatium in eo tempore
              <lb/>
            percurſum velocitati proportionale eſt , eædemque
              <note symbol="*" position="left" xlink:label="note-0108-08" xlink:href="note-0108-08a" xml:space="preserve">94.</note>
            ſuperficies ſpatia minimis, ſed æqualibus, temporibus percur-
              <lb/>
            ſa deſignare poterunt: </s>
            <s xml:id="echoid-s2627" xml:space="preserve">Idcirco in unaquaque minima ſuperfi-
              <lb/>
            cie memorata, ſi latitudo ſuperficiei pro tempore habeatur,
              <lb/>
            ſuperficies ipſa ſpatium percurſum deſignabit. </s>
            <s xml:id="echoid-s2628" xml:space="preserve">Totum tem-
              <lb/>
            pus AB conſtat ex talibus temporibus minimis; </s>
            <s xml:id="echoid-s2629" xml:space="preserve">& </s>
            <s xml:id="echoid-s2630" xml:space="preserve">area tri-
              <lb/>
            anguli
              <emph style="sc">A</emph>
            BE formatur ex ſumma omnium ſuperficierum mi-
              <lb/>
            nimarum hiſce temporibus minimis reſpondentium: </s>
            <s xml:id="echoid-s2631" xml:space="preserve">area </s>
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