Bernoulli, Daniel
,
Hydrodynamica, sive De viribus et motibus fluidorum commentarii
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<
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SECTIO QUARTA.</
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<
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">De variis temporibus, quæ in effluxu aquarum
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deſiderari poſſunt.</
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<
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<
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">REs videbitur multis omnino Geometrica, quæ ſcilicet nulla conſide-
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ratione phyſica opus habeat, ut, cum aquæ ex dato vaſe per lumen co-
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gnitum velocitatibus in omniſitu determinatis effluunt, tempus de-
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finiatur, quo data effluat aquæ quantitas. </
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<
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">Attamen experientia contra-
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rium docet; </
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<
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">nam multo minori quantitate aquæ effluunt perforamina, quæ ſunt
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in lamina tenui, quam ex ſimplici velocitatum conſideratione ſequeretur, idque
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plerumque (nec enim res ſibi conſtat in diverſis circumſtantiis) in ratione ut
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1 ad √ 2; </
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<
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">movit hoc Newtonum, ut affirmaret in prima Princ. </
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<
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">math. </
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<
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ne aquam ex vaſe ea effluere velocitate, quæ generetur altitudine dimidia aquæ
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ſupra foramen, cui opinioni omnia experimenta de velocitatibus immediate
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ſumta, contradicunt. </
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<
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">Explorans poſtmodum ipſe magnus Vir hujus contra-
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dictionis originem, eam poſitam eſſe obſervavit in contractione venæ aqueæ,
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quæ contractio mox præ foramine fieri ſolet. </
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<
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">Alia quoque mihi obſervata fuit
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venæ mutatio priori nunc ſimilis nunc contraria. </
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<
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">Nempe cum aquæ non per
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fimplex foramen, verum per tubulum effluunt, rurſus contrahitur vena, ſi
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tubus exteriora verſus convergit, ſed dilatatur ſi idem divergit. </
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<
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">De contra-
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ctione venæ aqueæ per tubos convergentes effluentis accuratiſſima ſumſit ex-
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perimenta Joh. </
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<
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<
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<
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major à Viro Celeberrimo obſervata fuit, quo amplius erat orificium tubi co-
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nici internum manentibus orificio externo atque longitudine tubi, quæ ratio eſt,
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quod ſimilis aquæ quantitas ceteris paribus eò tardius effluxerit, quò amplius
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fuerit orificium internum, quamvis impedimenta ab adhæſione aquæ ad </
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