Bernoulli, Daniel
,
Hydrodynamica, sive De viribus et motibus fluidorum commentarii
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SECTIO QUARTA.
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primatur, atque ſic gracileſcat. </
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<
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xml:space
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">Et ab iſta compreſſione fit, quod alias con-
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tradictionem involveret, ut aqua jam jam egreſſa, etiamnum præ foramine ac-
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celeretur, & </
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<
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">ſic aſcenſ{us} potentialis creſcat, etiamſi ad alteram accelerationem
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omnibus corporibus cadentibus communem non attendamus, ceu huc non
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pertinentem, & </
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<
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">cujus deinceps mentionem non faciemus. </
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<
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xml:space
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">Hæc autem niſi me
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fallat opinio, res erit porro hunc in modum tractanda.</
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<
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">(I.) </
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<
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">Eouſque vena aquæ conſideranda eſt, donec particularum velo-
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citates amplius non mutentur, quod quamvis nunquam fiat omni rigore, at-
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tamen non procul à foramine fieri cenſendum eſt, veluti in d e. </
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<
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autem ſi ita fuerit & </
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">aquæ ex vaſe A B C D per foramen a c effluere
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ponantur, erit loco vaſis ſimplicis A B C D concipiendum aliud com-
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poſitum A B a d e c C D.</
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<
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<
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">Quicquid igitur in præcedente ſectione præmiſſum fuit, pro determi-
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nandis ubique velocitatibus, id omnino locum habebit, ſi loco vaſis ſubjecti
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concipiatur vas, quod dixi tubulo contracto inſtructum. </
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<
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xml:space
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">Nec tamen hæc cor-
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rectio, ratione præmiſſæ noſtræ methodi velocitatum aquæ effluentis determi-
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nandarum, ſenſibilem mutationem producere poteſt ob brevitatem tubuli a d c e,
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poteſt autem valde notabilem ratione quantitatis, quia aquæ non tam per ori-
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ficium a c, quam per d e effluere cenſendæ ſunt.</
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<
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">(II.) </
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<
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xml:space
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">Sic erunt velocitates in diverſis locis ipſius venæ reciproce ut
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amplitudines ſectionum reſpondentium & </
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<
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">cum in vaſis ampliſſimis velocitas
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in d e talis ſit quæ toti altitudini aquæ conveniat, ſimulque experimentis con-
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ſtet, amplitudines a c & </
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<
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">d e proxime eſſe ut √ 2 ad 1, putavit Newtonus ſic
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confirmari poſſe theoriam ſuam, qua ſtatuit aquam ex foramine vero veloci-
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tate effluere quæ debeatur dimidiæ altitudini aquæ ſupra foramen, quamvis in
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progreſſu velocitas aquæ creſcat: </
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<
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">quâ in re mihi videtur nimium adhæſiſſe præ-
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conceptæ opinioni: </
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<
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">neque enim ratio orificii a c ad d e ſemper eadem eſt, ne-
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que ſic explicari poteſt motus aquarum ex vaſe, cui tubulus adhæret: </
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<
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">verbo!
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attenuatio venæ prorſus accidentalis eſt, poteſt enim tota impediri, apponen-
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do foramini parvulum tubulum cylindricum vel augendo tantum craſſitiem la-
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minæ, cui foramen ineſt, & </
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<
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