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

Table of contents

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[311.] Experimentum2.
[312.] CAPUT VII. De Fluidis proſilientibus.
[313.] Experimentum i.
[314.] Experimentum2.
[315.] Experimentum3.
[316.] Machina, Qua inſtituuntur Experimenta de Fluidis oblique proſilientibus.
[317.] Experimentum 4.
[318.] Experimentum 5.
[319.] Experimentum 6.
[320.] Experimentum 7.
[321.] Experimentum 8.
[322.] Experimentum 9.
[323.] CAPUT VIII. De Fluido ex vaſis profluente, & Irregularitatibus in boc motu.
[324.] Experimentum i.
[325.] Experimentum 2.
[326.] Experimentum 3.
[327.] Experimentum 4.
[328.] Experimentum 5.
[329.] SCHOLIUM.
[330.] CAPUT IX. De Curſu Fluminum. Definitio 1.
[331.] Definitio. 2.
[332.] Definitio. 3.
[333.] CAPUT X. De Motu Undarum.
[334.] Definitio 1.
[335.] Definitio 2.
[336.] Experimentum.
[337.] CAPUT XI. De Reſiſtentia Fluidorum.
[338.] Machina,
[339.] Experimentum 1.
[340.] Experimentum 2.
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            <s xml:id="echoid-s7899" xml:space="preserve">
              <pb o="205" file="0287" n="313" rhead="MATHEMATICA. LIB. II. CAP. II."/>
            propter actioni æqualem reactionem , æqualem
              <note symbol="*" position="right" xlink:label="note-0287-01" xlink:href="note-0287-01a" xml:space="preserve"> 2471</note>
            particulæ iſtæ preſſionem ſuſtinent. </s>
            <s xml:id="echoid-s7900" xml:space="preserve">Cum vero preſſio in
              <lb/>
            fluidis omnes partes verſus ſit æqualis, fundus & </s>
            <s xml:id="echoid-s7901" xml:space="preserve">latera æ-
              <lb/>
            que premuntur ac partes fluidi vicinæ actio ergo hæc ad
              <lb/>
            inſtar altitudinis fluidi’ creſcit , & </s>
            <s xml:id="echoid-s7902" xml:space="preserve">ubique ad
              <note symbol="*" position="right" xlink:label="note-0287-02" xlink:href="note-0287-02a" xml:space="preserve">711. 708.</note>
            profunditatem eſt æqualis, pendetque ab illa altitudine, & </s>
            <s xml:id="echoid-s7903" xml:space="preserve">
              <lb/>
            nullo modo a fluidi quantitate. </s>
            <s xml:id="echoid-s7904" xml:space="preserve">Manente igitur fluidi altitu-
              <lb/>
            dine, & </s>
            <s xml:id="echoid-s7905" xml:space="preserve">fundi magnitudine, æqualis ſemper erit actio in
              <lb/>
            fundum, utcunque mutetur vaſis figura. </s>
            <s xml:id="echoid-s7906" xml:space="preserve">In omni caſu preſ-
              <lb/>
              <note position="right" xlink:label="note-0287-03" xlink:href="note-0287-03a" xml:space="preserve">721.</note>
            ſio, quam patitur ſuperficies quæcunque, valet pondus co-
              <lb/>
            lumnæ ex fluido, cujus baſis eſt ipſa ſuperficies, & </s>
            <s xml:id="echoid-s7907" xml:space="preserve">altitudo,
              <lb/>
            in ſingulis punctis, diſtantia verticalis ſupremæ ſuperficiei
              <lb/>
            fluidi ab his punctis.</s>
            <s xml:id="echoid-s7908" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s7909" xml:space="preserve">Talem eſſe in vaſe priſmatico verticali preſſionem in fun-
              <lb/>
            dum non facile in dubium quis vocabit; </s>
            <s xml:id="echoid-s7910" xml:space="preserve">nam totum fluidi
              <lb/>
            pondus, & </s>
            <s xml:id="echoid-s7911" xml:space="preserve">nil præterea, ſuſtinet fundus: </s>
            <s xml:id="echoid-s7912" xml:space="preserve">ſervatâ autem alti-
              <lb/>
            tudine fluidi, & </s>
            <s xml:id="echoid-s7913" xml:space="preserve">baſi vaſeos, non mutatur preſſio in fun-
              <lb/>
            dum, licet, mutatâ figurâ, vas majorem aut minorem flui-
              <lb/>
            di copiam contineat; </s>
            <s xml:id="echoid-s7914" xml:space="preserve">quod cum experimentis congruit, & </s>
            <s xml:id="echoid-s7915" xml:space="preserve">
              <lb/>
            ex natura fluiditatis deducitur, ut, poſt expoſita experi-
              <lb/>
            menta, dicam.</s>
            <s xml:id="echoid-s7916" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div1107" type="section" level="1" n="272">
          <head xml:id="echoid-head385" xml:space="preserve">
            <emph style="sc">Machina</emph>
          </head>
          <p style="it">
            <s xml:id="echoid-s7917" xml:space="preserve">Qua Experimenta de Fluidorum Preſſione inſtituun-
              <lb/>
            tur.</s>
            <s xml:id="echoid-s7918" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s7919" xml:space="preserve">Cylindrus cavus A, ab utraque parte apertus, ab inte-
              <lb/>
              <note position="right" xlink:label="note-0287-04" xlink:href="note-0287-04a" xml:space="preserve">722.</note>
            riori parte exactiſſime politur; </s>
            <s xml:id="echoid-s7920" xml:space="preserve">hujus diameter ut & </s>
            <s xml:id="echoid-s7921" xml:space="preserve">altitu-
              <lb/>
              <note position="right" xlink:label="note-0287-05" xlink:href="note-0287-05a" xml:space="preserve">
                <emph style="sc">TAB. XXVII</emph>
              .
                <lb/>
              fig 7. 8.</note>
            do parum excedunt tres pollices cum ſemiſſe, & </s>
            <s xml:id="echoid-s7922" xml:space="preserve">aqua in hoc
              <lb/>
            cylindro ad altitudinem trium pollicum ponderat libram u-
              <lb/>
            nam, ope cochleæ ei additur annulus E, ut a tripode ſu-
              <lb/>
            ſtineatur. </s>
            <s xml:id="echoid-s7923" xml:space="preserve">Pedes autem cochleis annulo junguntur, ut, ubi
              <lb/>
            neceſſe hoc eſt, tollantur.</s>
            <s xml:id="echoid-s7924" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s7925" xml:space="preserve">In cylindro datur ſundus æneus mobilis F, cum quo an-
              <lb/>
            nulus G, etiam æneus, ab interiori parte cochleam conti-
              <lb/>
            nens, conjungitur; </s>
            <s xml:id="echoid-s7926" xml:space="preserve">hoc annulo retinetur & </s>
            <s xml:id="echoid-s7927" xml:space="preserve">firmatur an-
              <lb/>
            nulus coriaceus ab omni parte fundum quantitate ſemi-pol-
              <lb/>
            licis excedens; </s>
            <s xml:id="echoid-s7928" xml:space="preserve">obtegit hic annuli ænei ſuperficiem </s>
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