Gravesande, Willem Jacob 's, Physices elementa mathematica, experimentis confirmata sive introductio ad philosophiam Newtonianam; Tom. 1
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            velocitates ſunt in eadem ratione quam in principio caſus ;</s>
            <s xml:id="echoid-s2732" xml:space="preserve">
              <note symbol="*" position="left" xlink:label="note-0112-01" xlink:href="note-0112-01a" xml:space="preserve">251. 263.</note>
            id eſt, ut AC ad
              <emph style="sc">A</emph>
            B Quando corpus deſcendit a G ad
              <note symbol="*" position="left" xlink:label="note-0112-02" xlink:href="note-0112-02a" xml:space="preserve">237.</note>
            creſcit velocitas ut tempus ; </s>
            <s xml:id="echoid-s2733" xml:space="preserve">& </s>
            <s xml:id="echoid-s2734" xml:space="preserve">velocitas in G eſt ad
              <note symbol="*" position="left" xlink:label="note-0112-03" xlink:href="note-0112-03a" xml:space="preserve">263.</note>
            citatem in B, ut
              <emph style="sc">A</emph>
            C ad
              <emph style="sc">A</emph>
            B : </s>
            <s xml:id="echoid-s2735" xml:space="preserve">velocitates ergo in B & </s>
            <s xml:id="echoid-s2736" xml:space="preserve">
              <note symbol="*" position="left" xlink:label="note-0112-04" xlink:href="note-0112-04a" xml:space="preserve">269.</note>
            eandem rationem habent ad velocitatem in G, & </s>
            <s xml:id="echoid-s2737" xml:space="preserve">ſunt æ-
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            quales. </s>
            <s xml:id="echoid-s2738" xml:space="preserve">Ex hiſce deducimus corpus eandem acquirere ve-
              <lb/>
              <note position="left" xlink:label="note-0112-05" xlink:href="note-0112-05a" xml:space="preserve">271</note>
            locitatem, cadendo a certa altitudine, ſive directe cadat,
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            ſive per planum inclinatum devolvatur. </s>
            <s xml:id="echoid-s2739" xml:space="preserve">Et, cum angulus
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            inclinationis nullam adferat mutationem, poteſt corpus de-
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            volvi per plurima plana varie inclinata, & </s>
            <s xml:id="echoid-s2740" xml:space="preserve">etiam per cur-
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            vam, (quæ ut ex innumeris planis diverſe inclinatis concinna-
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            ta conſiderari poteſt) & </s>
            <s xml:id="echoid-s2741" xml:space="preserve">celeritas ſemper erit eadem, quando al-
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            titudo eſt æqualis. </s>
            <s xml:id="echoid-s2742" xml:space="preserve">Non enim intereſt, utrum Corpus de-
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              <note position="left" xlink:label="note-0112-06" xlink:href="note-0112-06a" xml:space="preserve">TAB. X.
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              fig. 10.</note>
            ſcendat per
              <emph style="sc">A</emph>
            B an per
              <emph style="sc">Eb</emph>
            , in Beadem erit celeritas & </s>
            <s xml:id="echoid-s2743" xml:space="preserve">eo-
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            dem modo corpus movebitur per BC; </s>
            <s xml:id="echoid-s2744" xml:space="preserve">ideoque habebit in
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            C velocitatem, quam devolvendo per
              <emph style="sc">Ec</emph>
            potuiſſet acqui-
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            rere, & </s>
            <s xml:id="echoid-s2745" xml:space="preserve">in D velocitatem, quam cadendo per GD habuiſ-
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            ſet.</s>
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        </div>
        <div xml:id="echoid-div430" type="section" level="1" n="145">
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            <emph style="sc">Experimentum</emph>
          1.</head>
          <p>
            <s xml:id="echoid-s2747" xml:space="preserve">In hoc Experimento notandum, corpus filo ſuſpenſum,
              <lb/>
              <note position="left" xlink:label="note-0112-07" xlink:href="note-0112-07a" xml:space="preserve">272</note>
            & </s>
            <s xml:id="echoid-s2748" xml:space="preserve">cadendo curvam deſcribens, eodem modo cadere ac ſi
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            eandem curvam, in plano excavatam, ſine attritu percur-
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            reret. </s>
            <s xml:id="echoid-s2749" xml:space="preserve">Corpus filo ſuſpenſum cadat ab altitudine
              <emph style="sc">A</emph>
            C,
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              <note position="left" xlink:label="note-0112-08" xlink:href="note-0112-08a" xml:space="preserve">TAB. XI.
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              fig 1.</note>
            per curvam DC, & </s>
            <s xml:id="echoid-s2750" xml:space="preserve">per curvam EC, & </s>
            <s xml:id="echoid-s2751" xml:space="preserve">per curvam FGHC
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            ex portionibus variorum circulorum formatam, & </s>
            <s xml:id="echoid-s2752" xml:space="preserve">in
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            omni caſu, ad eandem altitudinem eandem percurrens curvam
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            adſcendet.</s>
            <s xml:id="echoid-s2753" xml:space="preserve"/>
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          <p style="it">
            <s xml:id="echoid-s2754" xml:space="preserve">Corpus ea cum celeritate, quam cadendo per ſuperficiem
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              <note position="left" xlink:label="note-0112-09" xlink:href="note-0112-09a" xml:space="preserve">273.</note>
            quamcunque, ſive planam, ſive curvam, acquiſivit, per a-
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            liam ſuperficiem ſimilem ad eandem altitudinem, eodem tem-
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            pore, adſcendere poteſt .</s>
            <s xml:id="echoid-s2755" xml:space="preserve">
              <note symbol="*" position="left" xlink:label="note-0112-10" xlink:href="note-0112-10a" xml:space="preserve">259. 264. 271.</note>
            </s>
          </p>
          <p style="it">
            <s xml:id="echoid-s2756" xml:space="preserve">Corpus ea cum celeritate, quam cadendo a certa altitudi-
              <lb/>
              <note position="left" xlink:label="note-0112-11" xlink:href="note-0112-11a" xml:space="preserve">274.</note>
            ne acquiſivit, ad eandem altitudinem per curvam quamcun-
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            que adſcendere poteſt.</s>
            <s xml:id="echoid-s2757" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div434" type="section" level="1" n="146">
          <head xml:id="echoid-head210" xml:space="preserve">
            <emph style="sc">Experimentum</emph>
          2.</head>
          <p>
            <s xml:id="echoid-s2758" xml:space="preserve">Corpus P filo ſuſpenſum cadat ab altitudine
              <emph style="sc">A</emph>
            C, per
              <lb/>
              <note position="left" xlink:label="note-0112-12" xlink:href="note-0112-12a" xml:space="preserve">275.
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              FAB. VIII.
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              fig. 1.</note>
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