Bernoulli, Daniel
,
Hydrodynamica, sive De viribus et motibus fluidorum commentarii
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SECTIO DUODECIMA.
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<
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">Fieri poteſt, ut altitudo ſuperficiei aqueæ ratione loci, pro quo
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preſſio indaganda eſt, ſit negativa, veluti in ſiphonibus recurvis aquas ex vaſe
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uno in aliud humilius poſitum ducentibus: </
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<
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">Tuncque preſſio fit duplici titulo
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negativa, nempe = - a - b, denotante a altitudinem loci ſupra ſuperficiem
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aquæ & </
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<
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">b altitudinem velocitati aquæ in illo loco debitam.</
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<
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<
s
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">Iſta vero ſufficient, ut puto, ad recte intelligendam fluidorum moto-
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rum ſtaticam: </
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">Venio jam ad alia quædam phænomena, quorum ſolutio ab
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iſtis, quas dedimus modo, regulis pendet.</
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<
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<
s
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">mentionem feci cohæſionis aquæ per
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tubos fluentis: </
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<
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">veras autem iſtius cohæſionis menſuras ubique definire res eſt,
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quæ ſine iſta præmiſſa hydraulico-ſtatica expediri nequit: </
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<
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">neque enim altitudi-
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nes conſideraſſe verticales ſupra orificium effluxus ſufficit, ut vulgo putatur, ſed
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oportet etiam noſſe velocitates aquis convenientes, hæque cognoſcuntur ex
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amplitudinibus. </
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<
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">Ut vero ſtatim appareat lex generalis in definienda vi cohæ-
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ſionis ſeu conatu, quo fluida ad mutuam ſeparationem ſolicitantur, dico il-
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lam vim cohæſionis æqualem eſſe vi, qua latera canalis introrſum premuntur,
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quam definivimus §. </
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">Propoſitio hæc alia demonſtratione egere mihi non
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videtur; </
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<
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">prouti enim compreſſio aquæ, ſeu vis quâ ejus partes ad ſe invicem
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comprimuntur, æqualis eſt ſuperincumbenti columnæ aqueæ ſtagnanti, ita
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viciſſim conatus fluida ſeparandi æqualis cenſendus eſt appenſæ columnæ ver-
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ticali aqueæ ſtagnanti, quæ cum aquis præterfluentibus in æquilibrio ſit. </
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<
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plorum loco eadem accipiemus, quibus ſupra pro indicandis aquarum preſſio-
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nibus negativis uſi ſumus.</
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<
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">(I) In Figura ſeptuageſima quinta §. </
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<
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altitudo D ſupra N talis ſit, ut aqua in eo ſtagnans cum aquis in D præterflu-
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entibus in æquilibrio ſit, tanta debet eſſe vis cohæſionis in D, ne aqua ibi-
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dem diſcerpatur, quantam habet pondus columnæ aqueæ ſimilis baſis & </
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<
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tudinis verticalis D N. </
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<
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<
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tudinem tubi ita augeri, ut tandem aquæ deſinant eſſe continuæ in tubo, quin
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poti{us} in column{as} dividantur, idque fieri in tubis cylindricis cum infra </
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