Bernoulli, Daniel, Hydrodynamica, sive De viribus et motibus fluidorum commentarii

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        <div xml:id="echoid-div115" type="section" level="1" n="88">
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        <div xml:id="echoid-div116" type="section" level="1" n="89">
          <head xml:id="echoid-head115" xml:space="preserve">HYDRODYNAMICÆ
            <lb/>
          SECTIO SEXTA.</head>
          <head xml:id="echoid-head116" style="it" xml:space="preserve">De fluidis non effluentibus ſeu intra latera
            <lb/>
          vaſorum motis.</head>
          <head xml:id="echoid-head117" xml:space="preserve">§. 1.</head>
          <p>
            <s xml:id="echoid-s3157" xml:space="preserve">HActenus conſideravimus aquas effluentes; </s>
            <s xml:id="echoid-s3158" xml:space="preserve">nunc vero contem-
              <lb/>
            plabimur motus aquarum, quæ vaſorum limites non præterfluunt.
              <lb/>
            </s>
            <s xml:id="echoid-s3159" xml:space="preserve">Omnes hos motus ad duo reducam genera, ambo ſeorſim per-
              <lb/>
            tractanda:</s>
            <s xml:id="echoid-s3160" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3161" xml:space="preserve">1
              <emph style="super">0</emph>
            . </s>
            <s xml:id="echoid-s3162" xml:space="preserve">Cum fluidum in tubo infinite longo continue movetur verſus
              <lb/>
            eandem plagam.</s>
            <s xml:id="echoid-s3163" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3164" xml:space="preserve">2
              <emph style="super">0</emph>
            . </s>
            <s xml:id="echoid-s3165" xml:space="preserve">Cum motibus reciprocis ſeu oſcillatoriis agitatur.</s>
            <s xml:id="echoid-s3166" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div117" type="section" level="1" n="90">
          <head xml:id="echoid-head118" style="it" xml:space="preserve">De motu aquarum per canales
            <lb/>
          indefinite longos.</head>
          <head xml:id="echoid-head119" xml:space="preserve">Caſus 1.</head>
          <p>
            <s xml:id="echoid-s3167" xml:space="preserve">§. </s>
            <s xml:id="echoid-s3168" xml:space="preserve">2. </s>
            <s xml:id="echoid-s3169" xml:space="preserve">Sit primo canalis horizontaliter poſitus, ſed amplitudinibus data
              <lb/>
            quacunque varians lege: </s>
            <s xml:id="echoid-s3170" xml:space="preserve">ponatur fluidum in illo ita poſitum, quod fieri
              <lb/>
            ſolet in tubis ſtrictioribus, ut ambæ ſuperficies extremæ ſitum obtineant
              <lb/>
            ad axem canalis perpendicularem & </s>
            <s xml:id="echoid-s3171" xml:space="preserve">ſic datâ quadam velocitate moveri in-
              <lb/>
            cipere. </s>
            <s xml:id="echoid-s3172" xml:space="preserve">Hæc ſi ita ſint, nullaque plane motus impedimenta adeſſe fingan-
              <lb/>
            tur, perſpicuum eſt, motui aquarum nullum finem fore, quemadmodum
              <lb/>
            globus ſuper tabula horizontali liberrime progrediens motum ſine fine con-
              <lb/>
            continuat. </s>
            <s xml:id="echoid-s3173" xml:space="preserve">Attamen inſignis inter utrumque motum intercedit differentia:
              <lb/>
            </s>
            <s xml:id="echoid-s3174" xml:space="preserve">globi nempe partes omnes uniformi continue progrediuntur velocitate, in
              <lb/>
            aqua perpetuo motum mutant: </s>
            <s xml:id="echoid-s3175" xml:space="preserve">Neque difficile erit motum iſtum definire,
              <lb/>
            cum conſiderabimus, motum talem eſſe debere, ut aſcenſus potentialis totius
              <lb/>
            aquæ idem conſervetur, qui ab initio motus fuit: </s>
            <s xml:id="echoid-s3176" xml:space="preserve">Determinavimus autem
              <lb/>
            aſcenſum potent, aquæ certâ velocitate in canali quocunque motæ in ſectionis </s>
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