Bernoulli, Daniel
,
Hydrodynamica, sive De viribus et motibus fluidorum commentarii
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SECTIO TERTIA.
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hypotheſis locum amplius habere non poſſet, ſinimium orificium iſtud auge-
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retur. </
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<
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xml:space
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">Dein patet quoque, cum aquæ per tubum verticalem in fig. </
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<
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<
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xml:space
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">effluunt,
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earum fiuxum accelerai à longitudine hujus tubi auctâ: </
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>
<
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xml:id
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echoid-s1214
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xml:space
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preserve
">poſſet tamen hæc
<
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quoque ita augeri, ut tandem aquæ deſinant eſſe continuæ in tubo, quin po-
<
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/>
tius in columnas dividantur, quod fiet, ſi tubus longitudinem habeat plus
<
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quam triginta duorum pedum aut minorem etiam, ſi ſimul amplitudine creſcat
<
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verſus M N;</
s
>
<
s
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echoid-s1215
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xml:space
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">ita ſi orificium M N duplum ſit orificii alterius F G, non poterit lon-
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gitudo majoreſſe quam octo pedum, ſine periculo ſubſecuturæ aquarum ſepara-
<
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tionis in ſuprema tubi parte, quam rem alibi demonſtrabo: </
s
>
<
s
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echoid-s1216
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xml:space
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">ſed eſt alia inſu-
<
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per cauſa præter nimiam tubi longitudinem, quæ aquæ ſeparationem produ-
<
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/>
cere poteſt, nempe quod altitudo aquæ C E H D minor ſit, quam ut ſat
<
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/>
cito in tubum irrumpere poſſit, quo fit, ut aër una cum aqua ſimul ſuperne
<
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influat, dum ſuperficies aquæ formam cataractæ ſeu infundibuli cavi aſſumit,
<
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ſic ut non totum orificium F G aqua obtegatur; </
s
>
<
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xml:space
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">Hæc quidem res facit, ut
<
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aqua minori copia effluat, non autem ut minori velocitate, quod poſterius
<
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putavit Auctor quidam Italus, nomine Carolus Fontana, qui hác de re Lin-
<
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guâſua vernacula ita ſcripſit: </
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<
s
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xml:space
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">mâ ſe non vifoſſe, inquit, tant’ acqua, che ba-
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ſtaſſe à mantenere piena detta canna, l’acqua attraherà l’aria dentro di ſe in
<
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tanta quantità, quanto gli mancherá l’acqua intermettendoſi fra l’acqua dà
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ogni banda; </
s
>
<
s
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xml:space
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">mà la velocità dell’ acqua mancherá tanto, quanto ſará l’altezza
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di tutta l’aria raccolta inſieme che ſarà in eſſa canna. </
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>
<
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xml:space
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">Rationem ejus, quod
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dixi, non inde velocitatem aquæ diminui poſſe, quilibet perſpicit ex eo, quod
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alias non poſſet aſcenſus poteniialis eſſe æqualis deſ@enſui actuali poteritque res
<
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facili experimento confirmari, incurvata tubi extremitate M N, ut aquæ ho-
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rizontaliter effluant, & </
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<
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">ex amplitudine jactus velocitas aquæ dignoſci poſſit.
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</
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<
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">Quomodo autem pro lubitu fieri poſſit, ut nullis mutatis aliis circumſtantiis
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aër aquis circa ſummitatem tubi miſceatur, ſic habe: </
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<
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xml:space
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">fiat nempe parvulum fo-
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ramen in tubo haud procul ab orificio F G (Fig. </
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">& </
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<
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xml:space
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">quod ſi autem du-
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rante aquæ fluxu digito obturaveris iſtud foraminulum, aquæ transfluent pu-
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ræ, & </
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<
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">ſi removeris digitum, mox aër per foraminulum idem irrumpet ſeque
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cum aqua præterfluente miſcebit. </
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<
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xml:space
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">His intellectis facile erit rationem reddere
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Phænomenorum, quæ in caminis ſeu fumi-ductibus obſervantur, fumus
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enim altum petit, quia aëre levior eſt, quod conſtat experimentis de fumo
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in vacuo, ubi deſcendiſſe viſus fuit, ſumtis: </
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<
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