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

Page concordance

< >
Scan Original
61 47
62 48
63 49
64 50
65 51
66 52
67 53
68 54
69 55
70 56
71 57
72 58
73 59
74 60
75
76 62
77 63
78 64
79 65
80 66
81 67
82 68
83 69
84 70
85 71
86 72
87 73
88 74
89 75
90 76
< >
page |< < (71) of 361 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div77" type="section" level="1" n="54">
          <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>
          </p>
        </div>
      </text>
    </echo>
Impressum