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

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        <div xml:id="echoid-div434" type="section" level="1" n="146">
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            <s xml:id="echoid-s2758" xml:space="preserve">
              <pb o="65" file="0115" n="125" rhead="MATHEMATICA. LIB. I. CAP. XVIII."/>
            curvam quamcunque BC; </s>
            <s xml:id="echoid-s2759" xml:space="preserve">celeritate eo acquiſita adſcendet
              <lb/>
              <note position="right" xlink:label="note-0115-01" xlink:href="note-0115-01a" xml:space="preserve">TAB. XI.
                <lb/>
              fig. 1.</note>
            ad eandem altitudinem aliam partem verſus per cur-
              <lb/>
            vas CD, aut CE, aut C HGF.</s>
            <s xml:id="echoid-s2760" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2761" xml:space="preserve">Ex demonſtratis in hoc capite , deducimus
              <note symbol="*" position="right" xlink:label="note-0115-02" xlink:href="note-0115-02a" xml:space="preserve">71.</note>
            confirmandi experimentis, quæ de velocitate Corporum
              <lb/>
            cadentium antea ſunt demonſtrata .</s>
            <s xml:id="echoid-s2762" xml:space="preserve"/>
          </p>
          <note symbol="*" position="right" xml:space="preserve">2553</note>
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        <div xml:id="echoid-div437" type="section" level="1" n="147">
          <head xml:id="echoid-head211" xml:space="preserve">
            <emph style="sc">Machina</emph>
          ,
            <lb/>
          Qua corporum Cadentium velocitates conferuntur.</head>
          <p>
            <s xml:id="echoid-s2763" xml:space="preserve">Ex ligno cujus craſſities AB eſt duorum pollicum, & </s>
            <s xml:id="echoid-s2764" xml:space="preserve">alti-
              <lb/>
              <note position="right" xlink:label="note-0115-04" xlink:href="note-0115-04a" xml:space="preserve">276.</note>
            tudo circiter pollicum novem, formatur machina hæc; </s>
            <s xml:id="echoid-s2765" xml:space="preserve">ex-
              <lb/>
              <note position="right" xlink:label="note-0115-05" xlink:href="note-0115-05a" xml:space="preserve">TAB. XII,
                <lb/>
              fig. 1.</note>
            cavatur lignum juxta portionem cycloïdis à ſuperiori parte
              <lb/>
            ligni ad F uſque, ubi curva terminatur in ipſius vertice;
              <lb/>
            </s>
            <s xml:id="echoid-s2766" xml:space="preserve">continuaturque lignum ab F ad G, juxta tangentem ad cur-
              <lb/>
            vam in vertice F, cujus diſtantia a G eſt unius pedis. </s>
            <s xml:id="echoid-s2767" xml:space="preserve">Ut
              <lb/>
            lignum hoc exactiſſimè ſit elaboratum habeatque ſuperfi-
              <lb/>
            ciem admodum politam deſideratur. </s>
            <s xml:id="echoid-s2768" xml:space="preserve">Formationem autem
              <lb/>
            cycloïdis in capite ſequenti explicamus.</s>
            <s xml:id="echoid-s2769" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2770" xml:space="preserve">Lignum hoc circumdatur regulis ligneis HH, HI, II;
              <lb/>
            </s>
            <s xml:id="echoid-s2771" xml:space="preserve">& </s>
            <s xml:id="echoid-s2772" xml:space="preserve">ſpatium quod hiſce continetur in duos quaſi canales divi-
              <lb/>
            ditur regulâ LL, cujus altitudo eſt quartæ partis unius pol-
              <lb/>
            licis.</s>
            <s xml:id="echoid-s2773" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2774" xml:space="preserve">In Canali utroque movetur globus æneus diametri ſemi
              <lb/>
            pollicis, in utroque etiam datur obex O, hi ope cochleæ
              <lb/>
            lateralis ubi deſideraveris firmantur.</s>
            <s xml:id="echoid-s2775" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2776" xml:space="preserve">Machina tribus ſuſtinetur cochleis æneis, quarum duæ vi-
              <lb/>
            dentur in C, C; </s>
            <s xml:id="echoid-s2777" xml:space="preserve">harum ope ſuperficies FG in ſitu ponitur
              <lb/>
            horizontali, cujus ſitus indicium dat perpendiculum NM.</s>
            <s xml:id="echoid-s2778" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2779" xml:space="preserve">Regula LL in ſuperiori parte dividitur, ab F ad G in
              <lb/>
            partes æquales, ab F autem ſurſum inæquales ſunt; </s>
            <s xml:id="echoid-s2780" xml:space="preserve">ſed de-
              <lb/>
            monſtrant intervalla æqualia inter altitudines.</s>
            <s xml:id="echoid-s2781" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2782" xml:space="preserve">Hujus Machinæ hæc eſt proprietas, ut globi ab altitudi-
              <lb/>
            nibus, utcunque inæqualibus, dimiſſi, æqualibus tempo-
              <lb/>
            ribus ad F perveniant, quod facile patebit ſi obices O, O,
              <lb/>
            in F firmentur, & </s>
            <s xml:id="echoid-s2783" xml:space="preserve">globi eodem momento a diverſis altitu-
              <lb/>
            dinibus dimittantur.</s>
            <s xml:id="echoid-s2784" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2785" xml:space="preserve">Qui hujus proprietatis Geometricam deſiderant </s>
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