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

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          <p>
            <s xml:id="echoid-s1934" xml:space="preserve">
              <pb o="71" file="0085" n="85" rhead="SECTIO QUARTA."/>
            tur {1/100} & </s>
            <s xml:id="echoid-s1935" xml:space="preserve">per a pes dimidius, dum pro a ſubſtitui poteſt √2. </s>
            <s xml:id="echoid-s1936" xml:space="preserve">(non deſide-
              <lb/>
            ramus enim hic ſummam accurationem) & </s>
            <s xml:id="echoid-s1937" xml:space="preserve">per log. </s>
            <s xml:id="echoid-s1938" xml:space="preserve">indicatur logarithmus
              <lb/>
            hyperbolicus, ita vero fit,
              <lb/>
            {2nna/mmαα}log.</s>
            <s xml:id="echoid-s1939" xml:space="preserve">{mα/n} = {1/20000} (log. </s>
            <s xml:id="echoid-s1940" xml:space="preserve">100. </s>
            <s xml:id="echoid-s1941" xml:space="preserve">+ {1/2} log. </s>
            <s xml:id="echoid-s1942" xml:space="preserve">2.) </s>
            <s xml:id="echoid-s1943" xml:space="preserve">=
              <lb/>
            0, 0002475 ped. </s>
            <s xml:id="echoid-s1944" xml:space="preserve">ſeu, 0, 000297 poll. </s>
            <s xml:id="echoid-s1945" xml:space="preserve">& </s>
            <s xml:id="echoid-s1946" xml:space="preserve">quoniam amplitudinem vaſis
              <lb/>
            æqualem inveneram 6 {1/5} poll. </s>
            <s xml:id="echoid-s1947" xml:space="preserve">quadratis, intellexi quantitatem aquæ quæſitam,
              <lb/>
            quæ nempe effluere debuiſſet priusquam jactus maximus oriretur, exæquare
              <lb/>
            circiter partem quinquageſimam ſecundam unius pollicis cubici, ſeu, poſito
              <lb/>
            guttam mediocrem ſex lineas cubicas efficere, plusquam quinque guttas. </s>
            <s xml:id="echoid-s1948" xml:space="preserve">In ex-
              <lb/>
            perimento autem nullam obſervavi, cujus rei rationem eſſe ſuſpicor, quod primæ
              <lb/>
            guttulæ, quam vis jam ejectæ ab aqua ſubſequente tamen etiamnum propellantur;
              <lb/>
            </s>
            <s xml:id="echoid-s1949" xml:space="preserve">nimis enim celeriter alteræ ſubſequuntur, quam ut primæ ab illis interea divelli
              <lb/>
            poſſint. </s>
            <s xml:id="echoid-s1950" xml:space="preserve">Huc autem facit, quod tempusculum à fluxus initio ad maximam ex-
              <lb/>
            Pulſionem usque (quod nempe per §. </s>
            <s xml:id="echoid-s1951" xml:space="preserve">13. </s>
            <s xml:id="echoid-s1952" xml:space="preserve">eſt proxime = {2n@√a/mα} log. </s>
            <s xml:id="echoid-s1953" xml:space="preserve">{mα/n}, ubi
              <lb/>
            per 2√a hic intelligitur tempus, quo corpus per altitudinem dimidii pedis
              <lb/>
            labitur, id eſt, circiter {2/11} unius minuti ſecundi) quod inquam tempuſculum
              <lb/>
            illud non ultra partem centeſimam quinquageſimam octavam unius minuti
              <lb/>
            ſecundi excurrat.</s>
            <s xml:id="echoid-s1954" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1955" xml:space="preserve">Fortaſſe aliquid contribuit, quod non poſſit digitus ſat celeriter à fo-
              <lb/>
            ramine removeri. </s>
            <s xml:id="echoid-s1956" xml:space="preserve">Præſertim vero huc pertinet, quod maxima pars illius
              <lb/>
            aquæ, quæ ante præſentem maximam velocitatem erumpit, ita ad maximam
              <lb/>
            jactum accedat, ut nulla differentia obſervari poſſit & </s>
            <s xml:id="echoid-s1957" xml:space="preserve">ſic vix unica guttula
              <lb/>
            notabili diſcrimine ab illo defectura fuiſſet, ſi ſe libere ab aqua ſubſequente
              <lb/>
            ſeparare potuiſſet.</s>
            <s xml:id="echoid-s1958" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1959" xml:space="preserve">§. </s>
            <s xml:id="echoid-s1960" xml:space="preserve">15. </s>
            <s xml:id="echoid-s1961" xml:space="preserve">Hactenus de aquis per foramina effluentibus: </s>
            <s xml:id="echoid-s1962" xml:space="preserve">progrediamur
              <lb/>
            nunc ad effluxum aquarum ex vaſis per conos ſeu convergentes ſeu diver-
              <lb/>
            gentes. </s>
            <s xml:id="echoid-s1963" xml:space="preserve">Quod ſi autem aquæ effluant per tubum convergentem, dictat ea-
              <lb/>
            dem ratio à motu particularum convergente petita §. </s>
            <s xml:id="echoid-s1964" xml:space="preserve">3. </s>
            <s xml:id="echoid-s1965" xml:space="preserve">pro foraminibus ſim-
              <lb/>
            plicibus expoſita, fore ut aquæ vena præ foramine contrahatur etiam-
              <lb/>
            num ejusque particulæ accelerentur & </s>
            <s xml:id="echoid-s1966" xml:space="preserve">ſic quantitas aquæ dato tem-
              <lb/>
            pore effluentis minor ſit quam menſuræ orificii effluxus & </s>
            <s xml:id="echoid-s1967" xml:space="preserve">velocitatum,
              <lb/>
            nulla habita ratione ad contractionem venæ, indicant. </s>
            <s xml:id="echoid-s1968" xml:space="preserve">Parva autem </s>
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