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

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            <s xml:id="echoid-s3087" xml:space="preserve">
              <pb o="109" file="0123" n="123" rhead="SECTIO QUINTA."/>
            rent elevabatur ſuperficies A B, nunquam autem certum terminum tranſgredie-
              <lb/>
            batur; </s>
            <s xml:id="echoid-s3088" xml:space="preserve">fuit nempe quantum videre potui, maxima altitudo P B ſeu F A =
              <lb/>
            {nn/mm - nn}a, denotante {n/m} rationem inter orificium inferius L M & </s>
            <s xml:id="echoid-s3089" xml:space="preserve">ſuperius
              <lb/>
            R S, & </s>
            <s xml:id="echoid-s3090" xml:space="preserve">a altitudinem verticalem orificii poſterioris ſupra alterum.</s>
            <s xml:id="echoid-s3091" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3092" xml:space="preserve">Id vero ſolum eſt, quod ipſemet inſtitui experimentum, quamvis mul-
              <lb/>
            tæ ſint propoſitiones in hâc ſectione contentæ, quæ mereantur attentionem
              <lb/>
            eæque ſatis inexpectatæ, non potui tamen de illis experimenta ſumere; </s>
            <s xml:id="echoid-s3093" xml:space="preserve">ſunt
              <lb/>
            enim ita comparatæ in vaſis brevioribus, ut quod ſingulare habent, id ſenſus
              <lb/>
            effugiat, rem autem experiri in longis aquæductibus commode non potui:
              <lb/>
            </s>
            <s xml:id="echoid-s3094" xml:space="preserve">cum aliis hæc dabitur occaſio, theoriam hanc examinaturis, animum adver-
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            tent ad ſequentia:</s>
            <s xml:id="echoid-s3095" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3096" xml:space="preserve">I
              <emph style="super">0</emph>
            . </s>
            <s xml:id="echoid-s3097" xml:space="preserve">In fontibus ſalientibus obſervetur altitudo jactus integra; </s>
            <s xml:id="echoid-s3098" xml:space="preserve">poſtmo-
              <lb/>
            dum obturato prius orificio eodemque mox reſerato videatur aquæ quanti-
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            tas, quæ effluat, dum aqua ad dimidiam altitudinem jactus integri, aut
              <lb/>
            aliam partem quamcunque perveniat, quod quidem breviſſimo eveniet tem-
              <lb/>
            pore, illius quantitatis menſura ſit longitudo cylindri ſuper foramine, per
              <lb/>
            quod aquæ exiliunt, exſtructi, quam longitudinem vocavimus x, alti-
              <lb/>
            tudinem vero jactus integram nominavimus a, altitudinemque jactus qui
              <lb/>
            nondum totam attigerit altitudinem, obſervatam deſignavimus per v. </s>
            <s xml:id="echoid-s3099" xml:space="preserve">Tum
              <lb/>
            denique inſtituto calculo exploreter, num hæ quantitates recte reſpondeant
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            æquationibus pro utroque affundendi modo exhibitis in paragrapho tertio.</s>
            <s xml:id="echoid-s3100" xml:space="preserve"/>
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          <p>
            <s xml:id="echoid-s3101" xml:space="preserve">II
              <emph style="super">0</emph>
            . </s>
            <s xml:id="echoid-s3102" xml:space="preserve">Fiant omnia, ut ante, hoc ſaltem diſcrimine, quod loco quanti-
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            tatis effluentis tempus effluxus notetur, ut ſic examinari poſſint formulæ
              <lb/>
            paragraphi decimi tertii, & </s>
            <s xml:id="echoid-s3103" xml:space="preserve">denique comparetur quantitas cum tempore
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            fluxus, ut appareat num recte reſpondeat formulæ §. </s>
            <s xml:id="echoid-s3104" xml:space="preserve">14.</s>
            <s xml:id="echoid-s3105" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3106" xml:space="preserve">III
              <emph style="super">0</emph>
            . </s>
            <s xml:id="echoid-s3107" xml:space="preserve">Tum præcipue fiat id experimenti genus, quod indicavi para-
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            grapho decimo ſexto, obſervando ſcilicet, quantitates aquarum dimidiis
              <lb/>
            temporibus reſpondentes; </s>
            <s xml:id="echoid-s3108" xml:space="preserve">dixi autem, quantumvis magnum ſumatur tem-
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            pus, differentiam harum quantitatum nunquam exæquare {2mmN/mmn - n
              <emph style="super">3</emph>
            } log. </s>
            <s xml:id="echoid-s3109" xml:space="preserve">2.
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            </s>
            <s xml:id="echoid-s3110" xml:space="preserve">in priori, quem finximus, affundendi modo; </s>
            <s xml:id="echoid-s3111" xml:space="preserve">aut {2N/n} log. </s>
            <s xml:id="echoid-s3112" xml:space="preserve">2. </s>
            <s xml:id="echoid-s3113" xml:space="preserve">in poſteriori.</s>
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