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

Table of contents

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[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.
[341.] Experimentum 3.
[342.] Experimentum 4.
[343.] SCHOLIUM, Demonſtrationes n. 914. & 915.
[344.] F f, F g :: FC aut IH, FH
[345.] CAPUT XII. De Retardatione Corporum in Fluidis motorum.
[346.] Machina, Qua Experimenta de Pendulorum Retardationibus inſtituuntur.
[347.] Experimentum.
[348.] SCHOLIUM 1. De Logarithmica.
[349.] Definitio 1.
[350.] Definitio 2.
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          <p>
            <s xml:id="echoid-s8151" xml:space="preserve">Poſita verò eadem ſolidi cum fluido gravitate ſpecifica,
              <lb/>
              <note position="left" xlink:label="note-0298-01" xlink:href="note-0298-01a" xml:space="preserve">750.</note>
            neque adſcendet, neque deſcendet, ſed ad quamcunque al-
              <lb/>
            titudinem in fluido ſuſpenſum manebit, & </s>
            <s xml:id="echoid-s8152" xml:space="preserve">fluidum inte-
              <lb/>
            grum corpus ſuſtinebit; </s>
            <s xml:id="echoid-s8153" xml:space="preserve">in quo caſu, propter æqualitatem
              <lb/>
            gravitatum ſpecificarum, fluidum ſuſtinet pondus æquale
              <lb/>
            ponderi fluidi, quod impleret ſpatium a corpore occupa-
              <lb/>
            tum. </s>
            <s xml:id="echoid-s8154" xml:space="preserve">Fluidum autem eodem modo agit in omnia ſolida
              <lb/>
            æqualia ad eandem profunditatem immerſa, & </s>
            <s xml:id="echoid-s8155" xml:space="preserve">æqualiter
              <lb/>
            hæc ſuſtinet; </s>
            <s xml:id="echoid-s8156" xml:space="preserve">amittit ergo Corpus omne immerſum partem
              <lb/>
              <note position="left" xlink:label="note-0298-02" xlink:href="note-0298-02a" xml:space="preserve">751.</note>
            ponderis, æqualem ponderi fluidi quod æquale ſpatium cum
              <lb/>
            corpore occupat.</s>
            <s xml:id="echoid-s8157" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s8158" xml:space="preserve">Proprie loquendo non quidem amittit corpus partem pon-
              <lb/>
            deris quæ a fluido ſuſtinetur; </s>
            <s xml:id="echoid-s8159" xml:space="preserve">ſed deſcendit in fluido aut
              <lb/>
            trahit funem quo ſuſtinetur, quaſi revera pondus imminutum
              <lb/>
            foret.</s>
            <s xml:id="echoid-s8160" xml:space="preserve"/>
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        <div xml:id="echoid-div1152" type="section" level="1" n="288">
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            <emph style="sc">Experimentum</emph>
          3.</head>
          <p>
            <s xml:id="echoid-s8161" xml:space="preserve">Ex unco lancis libræ ſuperius memoratæ
              <note position="left" xlink:label="note-0298-03" xlink:href="note-0298-03a" xml:space="preserve">752.</note>
            cylindrus æneus cavus E; </s>
            <s xml:id="echoid-s8162" xml:space="preserve">unco, fundo hujus cohærenti,
              <lb/>
              <note position="left" xlink:label="note-0298-04" xlink:href="note-0298-04a" xml:space="preserve">TAB. XXX.
                <lb/>
              fig. 1.</note>
            ope capilli equini, ſuſpenditur cylindrus ſolidus C, ex eo-
              <lb/>
              <note symbol="*" position="left" xlink:label="note-0298-05" xlink:href="note-0298-05a" xml:space="preserve">705.</note>
            dem metallo, qui ſi alteri E inſeratur, hunc exacte implet
              <lb/>
            ita, ut in E, quando aquâ repletur, contineatur aquæ
              <lb/>
            quantitas, quæ poteſt implere locum a Coccupatum. </s>
            <s xml:id="echoid-s8163" xml:space="preserve">Lan-
              <lb/>
            ci oppoſitæ pondus imponatur ut detur æquilibrium; </s>
            <s xml:id="echoid-s8164" xml:space="preserve">de-
              <lb/>
            ſcendat bilanx, ut cylindrus C aquâ, vaſe D contentâ, im-
              <lb/>
            mergatur; </s>
            <s xml:id="echoid-s8165" xml:space="preserve">eo æquilibrium deſtruitur, quia C pro parte ab
              <lb/>
            aqua ſuſtinetur; </s>
            <s xml:id="echoid-s8166" xml:space="preserve">ad hoc verò redit libra, ſi vas E aquâ im-
              <lb/>
            pleatur.</s>
            <s xml:id="echoid-s8167" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div1154" type="section" level="1" n="289">
          <head xml:id="echoid-head403" xml:space="preserve">
            <emph style="sc">Definitio</emph>
          5.</head>
          <p style="it">
            <s xml:id="echoid-s8168" xml:space="preserve">Pondus, quod corpus fluido immer ſum ſervat, vocatur il-
              <lb/>
              <note position="left" xlink:label="note-0298-06" xlink:href="note-0298-06a" xml:space="preserve">753.</note>
            lius gravitas reſpectiva.</s>
            <s xml:id="echoid-s8169" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s8170" xml:space="preserve">Hæcque gravitas reſpectiva eſt exceſſus gravitatis ſpeci-
              <lb/>
              <note position="left" xlink:label="note-0298-07" xlink:href="note-0298-07a" xml:space="preserve">754.</note>
            ficæ ſolidi ſuper gravitatem ſpecificam fluidi;</s>
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          </p>
          <p>
            <s xml:id="echoid-s8172" xml:space="preserve">Ex hiſce ſequitur, omnia ſolida æqualia, licet diver ſæ
              <lb/>
              <note position="left" xlink:label="note-0298-08" xlink:href="note-0298-08a" xml:space="preserve">755.</note>
            gravitatis ſpecificæ, quando eodem fluido immerguntur, pon-
              <lb/>
            dus æquale amittere . </s>
            <s xml:id="echoid-s8173" xml:space="preserve">Experimentum ultimum eodem
              <note symbol="*" position="left" xlink:label="note-0298-09" xlink:href="note-0298-09a" xml:space="preserve">751.</note>
            do procedit cum cylindro ex quocunque alio metallo & </s>
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