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

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          <pb o="219" file="0307" n="336" rhead="MATHEMATICA. LIB. II. CAP. IV."/>
        </div>
        <div xml:id="echoid-div1183" type="section" level="1" n="298">
          <head xml:id="echoid-head412" xml:space="preserve">CAPUT IV.</head>
          <head xml:id="echoid-head413" xml:space="preserve">De comparandis Fluidorum Denſitatibus.</head>
          <p>
            <s xml:id="echoid-s8299" xml:space="preserve">CUm corporis denſitas ſequatur proportionem ponderis
              <lb/>
            ipſius, dato volumine, comparando corporum æqua-
              <lb/>
              <note position="right" xlink:label="note-0307-01" xlink:href="note-0307-01a" xml:space="preserve">774.</note>
            lium pondera, detegimus ipſorum denſitates , Si ergo
              <note symbol="*" position="right" xlink:label="note-0307-02" xlink:href="note-0307-02a" xml:space="preserve">288.</note>
            quodcunque exacte fluido repleatur, & </s>
            <s xml:id="echoid-s8300" xml:space="preserve">fluidum hoc ponde-
              <lb/>
            retur, idemque alio fluido repleatur, quod etiam ponderetur,
              <lb/>
            pondera erunt ut denſitates. </s>
            <s xml:id="echoid-s8301" xml:space="preserve">Sed cum hæc methodus in
              <lb/>
            praxi variis obnoxia ſit difficultatibus, in hac explicanda
              <lb/>
            non inhæremus.</s>
            <s xml:id="echoid-s8302" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s8303" xml:space="preserve">Quando duorum fluidorum preſſiones ſunt æquales, mate-
              <lb/>
              <note position="right" xlink:label="note-0307-03" xlink:href="note-0307-03a" xml:space="preserve">775.</note>
            riæ quantitates, id eſt, pondera, in columnis, æquales ba-
              <lb/>
            ſes habentibus, non differunt ; </s>
            <s xml:id="echoid-s8304" xml:space="preserve">quare volumina, quæ
              <note symbol="*" position="right" xlink:label="note-0307-04" xlink:href="note-0307-04a" xml:space="preserve">708.</note>
            ut columnarum altitudines, ſunt inverſè ut denſitates ;</s>
            <s xml:id="echoid-s8305" xml:space="preserve">
              <note symbol="*" position="right" xlink:label="note-0307-05" xlink:href="note-0307-05a" xml:space="preserve">738.</note>
            ex quo deducitur methodus haſce comparandi in tubis com-
              <lb/>
            municantibus; </s>
            <s xml:id="echoid-s8306" xml:space="preserve">in quibus tamen non deſiderantur baſes co-
              <lb/>
            lumnarum æquales, id eſt, non intereſt an tubi ſint inæqua-
              <lb/>
            les nec ne, quod altitudinem non mutat .</s>
            <s xml:id="echoid-s8307" xml:space="preserve"/>
          </p>
          <note symbol="*" position="right" xml:space="preserve">714.</note>
        </div>
        <div xml:id="echoid-div1186" type="section" level="1" n="299">
          <head xml:id="echoid-head414" xml:space="preserve">
            <emph style="sc">Experimentum</emph>
          1.</head>
          <p>
            <s xml:id="echoid-s8308" xml:space="preserve">Tubo vitreo curvo A infundatur mercurius, quo pars
              <lb/>
              <note position="right" xlink:label="note-0307-07" xlink:href="note-0307-07a" xml:space="preserve">776.</note>
            inferior tubi a b ad c impletur; </s>
            <s xml:id="echoid-s8309" xml:space="preserve">infundatur aqua ab una par-
              <lb/>
              <note position="right" xlink:label="note-0307-08" xlink:href="note-0307-08a" xml:space="preserve">TAB. XXXI.
                <lb/>
              fig. 3.</note>
            te à b ad e; </s>
            <s xml:id="echoid-s8310" xml:space="preserve">in crus oppoſitum infundatur oleum terebinthi-
              <lb/>
            næ, donec ambæ ſuperficies b, c, mercurii ſint in eadem li-
              <lb/>
            nea horizontali, ſitque altitudo olei c d; </s>
            <s xml:id="echoid-s8311" xml:space="preserve">erunt hæ altitudi-
              <lb/>
            nes ut 87. </s>
            <s xml:id="echoid-s8312" xml:space="preserve">ad 100. </s>
            <s xml:id="echoid-s8313" xml:space="preserve">in qua ratione inverſa eſt denſitas aquæ
              <lb/>
            ad olei terebinthinæ denſitatem, ſunt ergo hæ ut {1/87} ad {1/100},
              <lb/>
            aut ut 100. </s>
            <s xml:id="echoid-s8314" xml:space="preserve">ad 87.</s>
            <s xml:id="echoid-s8315" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s8316" xml:space="preserve">Mercurius infunditur, ne fluida in fundo tubi miſcean-
              <lb/>
            tur.</s>
            <s xml:id="echoid-s8317" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s8318" xml:space="preserve">Adhibito ſolido immerſo etiam comparantur fluidorum
              <lb/>
            denſitates, ſi enim ſolidum, fluidis comparandis levius, va-
              <lb/>
              <note position="right" xlink:label="note-0307-09" xlink:href="note-0307-09a" xml:space="preserve">777.</note>
            riis fluidis immergatur, partes immerſæ erunt inversè ut
              <lb/>
            fluidorum denſitates; </s>
            <s xml:id="echoid-s8319" xml:space="preserve">nam, quia idem ſolidum adhibetur,
              <lb/>
            portiones variorum fluidorum, quæ ſingulis caſibus </s>
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