Bernoulli, Daniel
,
Hydrodynamica, sive De viribus et motibus fluidorum commentarii
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SECTIO QUINTA.
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amplitudo indicata per n minor ſit amplitudine orificii R S expreſſa per m,
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habet v valorem quem nunquam attingit quidem, ſed tamen proxime aſſe-
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quitur, & </
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<
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">ad quem tam cito convergit, niſi data opera vaſa huic rei contra-
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ria excogitata adhibeantur, ut poſt minimum fluxus tempuſculum, quod
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ſenſibus percipi poſſit, notabiliter ab eo non deficiat. </
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<
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le talis, v = {mma/mm - nn}: </
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<
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">igitur in caſu Scholii ſecundi §. </
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minus P B eſt = v - a = {nna/mm - nn}. </
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<
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">Exemplo citiſſimam velocitatis ad ultimum
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ſuum terminum acceſſionem illuſtrabo, poſtquam æquationem inter v & </
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tempus altitudini v reſpondens appoſuero.</
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<
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xml:space
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">In caſu affuſionis, quam vocamus, lateralis, fit ultima altitu-
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do v = a, quæcunque inter utrumque vaſis orificium ratio interceſſerit.</
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</
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<
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">notetur autem non confundendos eſſe valores litterarum a
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& </
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">b, primus enim exprimit altitudinem ſupremi orificii ſupra inferius, alter
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longitudinem canalis; </
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">Sic itaque conveniunt inter ſe valores in hoc ſaltem
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caſu, cum axis vaſis linea eſt recta & </
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">at ſi axis tortuoſus eſt, vel
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ſaltem non verticalis, differunt à ſe invicem: </
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volui, ne quis ſibi a figuris vaſorum, quorum axes ubique rectos & </
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cales feci, imponi patiatur.</
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<
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">Quod ſi igitur pro vaſis cylindricis ponatur N = {nn/m}b fit pro affuſio-
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ne verticali
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v = {mma/mm - nn} X (1 - c
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)
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& </
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">pro altera laterali fit v = a (1 - c
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).</
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">Invenire velocitatem aquæ, ex vaſe conſtanter pleno effluentis,
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poſtquam fluxus per datum tempus duravit.</
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