Bernoulli, Daniel
,
Hydrodynamica, sive De viribus et motibus fluidorum commentarii
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SECTIO OCTAVA.
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v = 4a + 2b - 2x - c
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X (2b + 4a)</
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<
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">unde ſi ponatur 4a + 2b - 2x - c
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X (2b + 4a) = o,
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dabit valor ipſius x totam excurſionem, à qua ſi auferatur b, reſiduum indi-
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cabit deſcenſum infra punctum æquilibrii C.</
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<
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cillationes diminuantur, ponemus a = b, facta ſcilicet C A = G C & </
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<
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3a - x = c
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X (3a) ſive
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c
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= {3a/3a - x} vel x = 2a log. </
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cui æquationi prope admodum ſatisfacit valor x = {7/4} a. </
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<
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xml:space
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">Eſt igitur decremen-
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tum excurſionis ſeu a - b = quartæ parti elevationis fluidi ſupra punctum me-
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dium: </
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<
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">ſi majus obſervetur experimento, reliquum adhæſioni aquæ ad latera
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tuborum tribuendum erit.</
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">Neque iſta diminutarum excurſionum ratio plane, ut ſuſpicor,
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auferetur, ſi vel æqualis fiat amplitudinis tubus horizontalis cum verticalibus,
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ob mutatam fluidi directionem in punctis A & </
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<
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">Cæterum infiniti alii fingi poſſent caſus iiſdem principiis ſolvendi, velu-
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ti ſi natura oſcillationum indaganda ſit in vaſe Fig. </
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tali diaphragmate in duas diſpeſcitur partes ſolo lumine, quod diaphragma ha-
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beat, inter ſe communicantes & </
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ut quiſque ſibi facile regulas generales pro iſtiuſmodi quæſtionibus ſolvendis
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formare poſſit.</
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orificium D effluentis (Fig. </
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