Bernoulli, Daniel
,
Hydrodynamica, sive De viribus et motibus fluidorum commentarii
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HYDRODYNAMICÆ
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pe omnis motus qui aquis reſiduus eſt poſtquam altitudinem G attigerunt in
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noſtro caſu ſuperfluus eſt dicendus.</
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<
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in orificio F velocitatem quæ debeatur altitudini verticali G F, eſt potentia abſo-
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luta eodem tempore impenſa proportionalis velocitati aquæ in F ductæ in alti-
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tudinem G ſupra A B.</
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citas iſtius potentiæ eſt ut velocitas aquæ in F.</
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<
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<
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aquarum effluentium, id eſt, quam quantitates eodem tempore ejectæ: </
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men differentia rationum fere inſenſibilis eſt, cum altitudo F G parva admo-
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dum eſt ratione altitudinis canalis F D: </
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gendo altitudinem B D) mox vero ejiciantur aquæ velocitate dupla, ita, ut
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nunc ſit F D = F G; </
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">ſic erunt potentiæ abſolutæ ut 1 X {@/4} ad 2 X 2 ſeu ut 5 ad 16
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ſic ut ad ejiciendam duplam aquæ quantitatem potentia abſoluta requiratur pluſ-
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quam tripla: </
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<
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dupla velocitate exprimi ponantur, erunt nunc potentiæ abſolutæ ut 1 X 101
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ad 2 X 204 ſeu ut 101 ad 208, quæ ratio à ſubdupla parum deficit. </
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<
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inde, quo minori velocitate aquæ hauriantur, eo majori cum fructu potentiam
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abſolutam impendi, & </
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di, cum fere inſenſibili velocitate aquæ per orificium F effluunt: </
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<
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tem magnitudo orificii compenſare velocitatis exiguitatem, ut dato tempore
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notabilis aquarum quantitas hauriri poſſit. </
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<
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finietur.</
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ſtructæ & </
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fundere, fueritque velocitas media aquæ in F effluentis debita altitudini F </
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