Bernoulli, Daniel
,
Hydrodynamica, sive De viribus et motibus fluidorum commentarii
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SECTIO NONA.
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fiat igitur amplus aut etiam plures tubi conſtruantur aquas transmittentes: </
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xml:space
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joris eſt momenti hæc annotatio in præſenti caſu, quod multo majus diſpen-
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dium ab anguſtia diabetes D oritur, quam in aliis machinis; </
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<
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">fac enim am-
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plitudinem hujus diabetes eandem, quæ eſt orificio E, & </
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">pone inſuper æqua-
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libus temporis intervallis embolum deprimi, retrahique non perdetur jam ſo-
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lum dimidia potentiæ abſolutæ pars, ut aliàs, ſed plane quatuor quintæ partes
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inutiles fient. </
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<
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xml:space
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">Quia vero multa ſunt in hâc machina, quæ ſingularem po-
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ſtulant calculum, placet illam ſeorſim perluſtrare.</
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">Digreſſus continens aliquas commentationes in Ma-
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chinam Hydraulicam quam repræſent at figura 51.</
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<
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">(α) Non poteſt jactus aqueus per E eſſe omnino æquabill
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s, durante
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tota emboli agitatione: </
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<
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">Dum enim embolus elevatur, novæ aquæ non acce-
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dunt, atque ſic diminuitur quantitas aquæ in catino G E contentæ, aërque
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eidem ſuperincumbens dilatatur ac denique elater ipſius diminuitur: </
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<
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">hinc
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quoque velocitate continue minori aqua erumpit donec rurſus ab embolo
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intruſo acceleretur.</
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<
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<
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xml:space
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">Verum ſi ponatur ſpatium, quod aër in catino occupat longe ma-
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jus ſpatio illo ab aqua, quæ durante una emboli elevatione ejicitur, occu-
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pato, ceſſat fere tota hæc inæqualitas, poſito embolum uniformiter agitari
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& </
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<
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">diu ante fuiſſe agitatum, quæ poſterior hypothſis ideo neceſſaria eſt, quod
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primæ agitatione valde differant à ſequentibus. </
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<
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xml:space
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">Igitur brevitatis ergo om-
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nibus hiſce hypotheſibus ſatitfaciemus, ideſt, ubique ſtatum, qui dicitur,
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permanentiæ ponemus.</
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<
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">(β) Cum igitur primis emboli agitationibus ſenſim augeatur velocitas
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aquæ per E effluentis, mox fit ut jactus aqueus velocitatem tantum non in-
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tegram attingat; </
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<
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xml:space
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">quo rei ſtatu poſito, patet tantum aquæ depreſſ
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ione em-
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boli impelli in catinum, quantum ex eodem tota emboli agitatione ejicitur.</
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<
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xml:space
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">Primis autem agitationibus plus intruditur, quam ejicitur, idque non
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ideo, ut putavit Dn. </
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<
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">Perrault, quod orificium in E altero in G minus ſit
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(idemque enim ſuccederet ſi vel majus eſſet) ſed quod cauſa efficiens non p of-
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ſit ſtatim omnem ſuum exerere effectum in ejiciendis aquis.</
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