Bernoulli, Daniel
,
Hydrodynamica, sive De viribus et motibus fluidorum commentarii
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SECTIO SEPTIMA.
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circumſtagnantem durante deſcenſu ejecta fuit: </
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<
s
xml:id
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echoid-s3820
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xml:space
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">hæc enim vis viva, quæ redi-
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re non poteſt ad aquam in cylindro, facit potiſſimum ut aquæ multum abſint,
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quo minus priſtinam, ex quâ ceciderant, in refluxu attingant altitudinem:
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</
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<
s
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echoid-s3821
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xml:space
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">nec tamen unica eſt hæc ratio, etiamſi vel nihil obſtent impedimenta tenaci-
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tatis, adhæſionis, hujuſmodique alia: </
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<
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echoid-s3822
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">Altera ratio indicata fuit §. </
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<
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xml:space
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">2. </
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<
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vero rationis menſura ex ipſo aſcenſu eſt deducenda, cum prior ad deſcenſum
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pertineat & </
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<
s
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">ſola, abſtrahendo animum ab impedimentis extrinſecis, in cauſa
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eſt, cur non aqua in aſcenſu tantum ſupra ſuperficiem externam elevetur,
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quantum infra eandem depreſſa fuerat. </
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<
s
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echoid-s3826
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xml:space
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">Notandum enim eſt, futurum fuiſſe,
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aquis vel per minimum foramen influentibus, ut eadem velocitate aſcende-
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rent, tanquam ſi omne fundum deeſſet, plenoque orificio irrumperent, ſimo-
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do poſt influxum impetum, quem in aquas internas faciunt, totum exererent
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ad earum aſcenſum promovendum: </
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<
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xml:space
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">Verum quicunque hanc rem recte perpen-
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dit facile videt, plerumque impetum iſtum totum fere impendi in motum ali-
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quem inteſtinum, qui nihil aſcenſum promoveat; </
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<
s
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xml:space
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">dico autem notanter ple-
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rumque (quod bene notetur velim) quia cum foramen magnum admodum
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eſt, non difficulter prævidetur, impetum aquarum influentium ita apte fieri,
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ut motus internus haud parum inde promoveatur; </
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<
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xml:space
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">at cum foramen minus eſt,
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liquet, rem ſecus ſe habere. </
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<
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xml:space
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">Recte igitur adhibetur hypotheſis noſtra, cum vel
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fundum omne abeſt, aut fere totum eſt perforatum (ſic enim exceſſus velocita-
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tis aquæ influentis ſupra velocitatem aquæ internæ nullus, aut valde exiguus eſt,
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& </
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<
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">nullum illa in hanc impetum facit) vel etiam cum foramen minimum eſt, quia
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ſic omnis impetus infringitur. </
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<
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xml:space
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">Sed ſi foramen rationem habuerit ad amplitudi-
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nem tubi, veluti ut √ 2. </
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<
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">ad 1, aut circiter, major paululum
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erit motus quam qui ex iſta hypotheſi ſequitur, quia tunc notabilem impetum
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faciunt aquæ irruentes, nec is omnis per rei naturam perditur.</
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<
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">Facile igitur eſt ſine inſtituto calculo prævidere ſequentes in aquarum,
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poſtquam ex certa altitudine delapſæ fuerunt, refluxu affectiones.</
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<
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">I. </
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">Nullum nempe fore refluxum ſenſibilem, ſi foramen ſit valde par-
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vum.</
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<
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">II. </
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<
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xml:space
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">Cum pars cylindri ſubmerſa non mutata maneat, nunquam aquas in
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refluxu certum terminum prætergreſſuras, ſi vel in infinitum elevatæ fuerint
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aquæ in prævio deſcenſu: </
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<
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">nunquam enim, ex quâcunque altitudine incipiat
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deſcenſus, omnes aquæ ex cylindro effluunt, ut vidimus, §. </
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<
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">& </
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