Bernoulli, Daniel
,
Hydrodynamica, sive De viribus et motibus fluidorum commentarii
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HYDRODYNAMICÆ
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ficium H. </
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<
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">Eadem methodus inſervit ad preſſiones aquarum in reliquis vaſis,
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quæ in Sectione octava tractavimus, determinandas. </
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<
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xml:space
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">Differunt autem omnes
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hæ quæſtiones ab iis, quæ ad motum fluidorum per canales pertinent, quod
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aquæ ob infinitam vaſorum à nobis poſitam amplitudinem veluti quieſcant in
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cavitatibus & </
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<
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">nihilominus preſſionem longe aliam exerceant, quam aliter ſo-
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lent. </
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<
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xml:space
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">In canalibus autem aquæ preſſionem ſuam eo magis mutant, quo majo-
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ri velocitate præterfluunt, & </
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<
s
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xml:space
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">omnem fere conſuetam preſſionem exerunt, ſi
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velocitas iſta ſit valde parva.</
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<
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<
s
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">Hæc ita, cum velocitates fluidorum determinari poſſunt per methodos
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jam ſuprà à nobis traditas. </
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<
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">Singulari autem methodo res pertractanda eſt, cum
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aquæ per canales fluunt, hancque doctrinam potiſſimum titulo hydraulico-ſtati-
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cæ intelligo: </
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<
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">Hic non tam preſſio ex velocitate quam reciproce velocitas, ſi
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foraminulum in lateribus canalis fiat, ex preſſione definiri poteſt. </
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<
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xml:space
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">Et de iſta
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hydraulico-statica, cujus uſus ampliſſimus eſt, in præſenti ſectione potiſſimum
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agere conſtitui.</
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<
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<
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">aqua conſtanter ple-
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">Fig. 72.</
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num conſervandum, tubo inſtructum cylindrico & </
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extremitate tubi foramen o aquas velocitate uniformi emittens; </
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aquæ in latera tubi E D.</
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<
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">Sit altitudo ſuperficiei aqueæ A B ſupra orificium o = a; </
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">erit velocitas
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aquæ in o effluentis, ſi prima fluxus momenta excipias, uniformis cenſenda
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& </
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<
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">= √a, quia vas conſtanter plenum conſervari aſſumimus; </
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<
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">poſitaque ratio-
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ne amplitudinum tubi ejusque foraminis = {n/1}, erit velocitas aquæ in tu-
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bo = {√a/n}: </
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<
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">Si vero omne fundum F D abeſſet, foret velocitas ultima aquæ in
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eodem tubo = √a, quæ major eſt quam a; </
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<
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jorem motum, niſus autem ejus ab appoſito fundo F D impeditur: </
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<
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niſu & </
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<
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">reniſu comprimitur aqua, quæ ipſa compreſſio coërcetur à lateribus
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tubi, hæcque proinde ſimilem preſſionem ſuſtinent. </
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<
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