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

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            <s xml:id="echoid-s2330" xml:space="preserve">
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            ſuperficies usque in E H tempore 8 {1/3} min. </s>
            <s xml:id="echoid-s2331" xml:space="preserve">ſec. </s>
            <s xml:id="echoid-s2332" xml:space="preserve">erat vero altitudinum differentia
              <lb/>
            C E vel D H duorum pollicum cum octo lineis.</s>
            <s xml:id="echoid-s2333" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2334" xml:space="preserve">Subducto calculo ad normam paragraphi 22. </s>
            <s xml:id="echoid-s2335" xml:space="preserve">ubi neque ad impedimen-
              <lb/>
            ta, neque ad mutationem venæ attenditur, videmus prædictum tempus de-
              <lb/>
            ſcenſus eſſe debuiſſe proxime = 5 min. </s>
            <s xml:id="echoid-s2336" xml:space="preserve">ſec. </s>
            <s xml:id="echoid-s2337" xml:space="preserve">cum fere dimidio. </s>
            <s xml:id="echoid-s2338" xml:space="preserve">Igitur ſtatu-
              <lb/>
            endum eſt hoc modo, velocitatem mediam totalem ſe habuiſſe ad velocita-
              <lb/>
            tem integram, quam theoria indicat, ut 5 {1/2} ad 8 {1/3} ſeu proxime ut 2 ad 3;
              <lb/>
            </s>
            <s xml:id="echoid-s2339" xml:space="preserve">hincque concludi poteſt, aquam per orificium M N effluxiſſe velocitate, quæ
              <lb/>
            conveniat ({2/3})
              <emph style="super">2</emph>
            , ſeu quatuor nonis partibus altitudinis aquæ ſupra foramen
              <lb/>
            M N, per alterum vero orificium G F transfluxiſſe velocitate quinque præter
              <lb/>
            propter quartis ejusdem altitudinis partibus debita.</s>
            <s xml:id="echoid-s2340" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2341" xml:space="preserve">Apparet itaque rurſus effluxum aquarum promoveri ab auctâ amplitu-
              <lb/>
            dine orificii tubi verſus exteriora, quamvis nec orificium quo tubus in vas
              <lb/>
            eſt implantatus, nec ſitus tubi ſit mutatus.</s>
            <s xml:id="echoid-s2342" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2343" xml:space="preserve">Porro in tabula horizontaliter poſita P Q obſervavi amplitudinem jactus
              <lb/>
            P Q pro altitudine o P, quæ erat 4. </s>
            <s xml:id="echoid-s2344" xml:space="preserve">poll. </s>
            <s xml:id="echoid-s2345" xml:space="preserve">8. </s>
            <s xml:id="echoid-s2346" xml:space="preserve">lin. </s>
            <s xml:id="echoid-s2347" xml:space="preserve">Inveni autem P Q = 9. </s>
            <s xml:id="echoid-s2348" xml:space="preserve">poll.
              <lb/>
            </s>
            <s xml:id="echoid-s2349" xml:space="preserve">6. </s>
            <s xml:id="echoid-s2350" xml:space="preserve">lin.</s>
            <s xml:id="echoid-s2351" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2352" xml:space="preserve">Sequitur ex iſta obſervatione, quod ſi dilatationis venæ conſideratione
              <lb/>
            ſepoſita aquæ in N M velocitatem debuerint habere, qualis debetur altitudi-
              <lb/>
            ni 4. </s>
            <s xml:id="echoid-s2353" xml:space="preserve">poll. </s>
            <s xml:id="echoid-s2354" xml:space="preserve">10. </s>
            <s xml:id="echoid-s2355" xml:space="preserve">lin. </s>
            <s xml:id="echoid-s2356" xml:space="preserve">cum tamen vi præmiſſi experimenti certe habuerit velocita-
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            tem debitam altitudini fere 6. </s>
            <s xml:id="echoid-s2357" xml:space="preserve">poll. </s>
            <s xml:id="echoid-s2358" xml:space="preserve">2. </s>
            <s xml:id="echoid-s2359" xml:space="preserve">lin. </s>
            <s xml:id="echoid-s2360" xml:space="preserve">Confirmat hæc obſervatio id quod
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            §. </s>
            <s xml:id="echoid-s2361" xml:space="preserve">15. </s>
            <s xml:id="echoid-s2362" xml:space="preserve">dixi, nempe in tubis divergentibus venam aqueam dilatari veluti in
              <lb/>
            m, ipſiusque motum retardari. </s>
            <s xml:id="echoid-s2363" xml:space="preserve">In præſenti vero caſu, ut ambæ obſervatio-
              <lb/>
            nes concilientur, dicendum erit venam ita dilatatam fuiſſe, ut amplitudi-
              <lb/>
            nem haberet ratione orificii N M reciproce ut prædictæ velocitates ſeu reci-
              <lb/>
            proce ut radices altitudinum iſtis velocitatibus debitarum, nempe ut √ 74.
              <lb/>
            </s>
            <s xml:id="echoid-s2364" xml:space="preserve">ad √ 58. </s>
            <s xml:id="echoid-s2365" xml:space="preserve">proindeque diametros venæ dilatatæ & </s>
            <s xml:id="echoid-s2366" xml:space="preserve">orificii fuiſſe ut ∜74 ad ∜ 58. </s>
            <s xml:id="echoid-s2367" xml:space="preserve">
              <lb/>
            ſeu ut 100 ad 941.</s>
            <s xml:id="echoid-s2368" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div88" type="section" level="1" n="63">
          <head xml:id="echoid-head85" xml:space="preserve">Experimentum 8.</head>
          <p>
            <s xml:id="echoid-s2369" xml:space="preserve">Aliud feci experimentum quod, quamvis huc nondum pertineat, ni-
              <lb/>
            hilominus recenſebo: </s>
            <s xml:id="echoid-s2370" xml:space="preserve">nempe in ortu prope orificium G F tubum perforavi
              <lb/>
            foramine e duarum fere linearum, rurſusque deſcenſum ſuperficiei ex C D </s>
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