Bernoulli, Daniel
,
Hydrodynamica, sive De viribus et motibus fluidorum commentarii
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SECTIO NONA.
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vocat, Cteſibianis. </
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<
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xml:space
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">Loquor autem de foraminibus ita diſpoſitis, ut omnis
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aqua effluxura per illa tranſire debeat. </
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<
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xml:space
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">Iſtud jam detrimenti genus tali de-
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finietur calculo.</
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<
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<
s
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xml:space
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">Sit amplitudo foraminis ultimi aquas in aërem emittentis = n, ampli-
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tudines autem reliquorum foraminum, per quæ aquæ trajiciuntur intra ma-
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chinam, deſignentur litteris α, β, γ, &</
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<
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<
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">& </
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<
s
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xml:space
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">erit, poſita utrobique eadem
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potentia movente, altitudo debita velocitati aquæ effluentis ad ſimilem altitu-
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dinem nullis obſtantibus foraminibus internis, ut
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1 ad 1 + {nn/αα} + {nn/ββ} + {nn/γγ} + &</
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<
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<
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<
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<
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">ſequitur inde factis iſtis
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altitudinibus inter ſe æqualibus, fore potentias moventes ut
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1 + {nn/αα} + {nn/ββ} + {nn/γγ} + &</
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<
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<
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<
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">quia utrobique velocitates potentiarum
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moventium eædem ſunt, ſimilem quoque pro iisdem temporibus rationem
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habebunt potentiæ abſolutæ. </
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<
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xml:space
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">Superflua igitur eſt pars ejus {nn/αα} + {nn/ββ} + {nn/γγ} + &</
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<
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</
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<
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xml:space
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">unde diſpendium potentiæ abſolutæ erit ad totam hanc potentiam ut
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{nn/αα} + {nn/ββ} + {nn/γγ} + &</
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<
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<
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<
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uno modiolo in alium transfluant (quod fit in omni antliarum genere; </
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<
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ti aſpirantium, aſpirantes gallice aut prementium, foulantes &</
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<
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<
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foramina quantum id reliquæ circumſtantiæ permittunt, ampliſſima facienda,
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ita ut amplitudo orificii effluxus parva admodum ſit reſpectu illorum forami-
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num internorum: </
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">Ut vero uſus regulæ clarius pateat, exempla conſidera-
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bimus machinarum aliarum non minus uſitatarum.</
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<
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& </
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">F alternatim deprimuntur, atque per diabetas A B, D E aquæ in modio-
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lum B E H intruduntur, ut ſic jactus fiat continuus per orificium H. </
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hic emboli alternatim agant, alterutrum conſiderabimus quaſi ſolum ſed con-
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tinue agentem; </
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<
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">ita vero conſiderandum eſt foramen effluxus H, </
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