Bernoulli, Daniel
,
Hydrodynamica, sive De viribus et motibus fluidorum commentarii
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HYDRODYNAMICÆ
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terminari poſſe, cum figura vaſis ubique ampliſſimi motum hunc mutare non
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poteſt. </
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<
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xml:space
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">Interim difficile futurum non fuiſſet, conſideratione quoque habita ad
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amplitudines vaſis, fluxum definire, & </
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<
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">ſolo brevitatis ſtudio id vitavimus pa-
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riterque omittemus in ſequentibus, niſi fortaſſe motus notabiliter à figura vaſis
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varia mutetur, quod fieri poteſt in tubis ſatis amplis, ſed iis longiſſimis, in
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quibus fluidum movetur, præſertim ſi motus determinandi ſint oſcillatorii.
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</
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<
s
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">lmo vidimus in præcedente Sectione, ſi oſcillationes ſint valde parvæ in tubis
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profundiſſime ſubmerſis, tunc tantum abeſſe, ut ad ſolum foramen fundi ſit
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attendendum, neglectis amplitudinibus etiamſi ſatis magnis, quin potius ad
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has ſolas fere ſit reſpiciendum.</
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<
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<
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<
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<
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">Quia in calculo, quem poſuimus, vis viva cujuſvis guttulæ per
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G transfluentis ab aqua cavitatis inferioris abſorberi debet, perſpicuum eſt,
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propoſitionem non eſſe extendendam ad illos caſus, qui hypotheſi repugnent,
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veluti cum diaphragma E F fundo C R proximum eſt ſimulque foramina ſibi
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directe reſpondent: </
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<
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">ita enim non arduum eſt providere, motum longe diver-
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ſum fore ab eo, quem præſens theoria indicat. </
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<
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">At vero, ſi diſtantia D G ma-
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gna ſit, ſique ſimul foraminum ſitus ſit obliquus & </
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aqueis negent contractionem; </
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<
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">dubium nullum eſt, quin theoria accurate om-
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@@bus phænomenis reſpondeat.</
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">Si foramen G eſt admodum amplum præ altero, fit fere v = x,
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ſed hæc altitudo v, cui nimirum reſpondet velocitas aquæ per D effluentis,
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non parum decreſcit, creſcente foramine D, ita ut ſi fuerit v. </
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raminis G, ſit v = {1/5}x & </
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">tantum non tota evaneſcat, cum foramen G eſt
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valde exiguum reſpectu foraminis D.</
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<
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">His ita inventis, jam quivis veram perſpiciet rationem motuum illo-
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rum, quos Mariottus primus obſervavit, & </
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ſtatur ſe ſupra modum fuiſſe delectatum, ſimulque intelliget, quam longe
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Auctor iſte in reliquis perſpicaciſſimus à viâ aberraverit in hiſce diſquiſitioni-
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bus. </
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<
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