Bernoulli, Daniel
,
Hydrodynamica, sive De viribus et motibus fluidorum commentarii
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HYDRODYNAMICÆ
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<
s
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xml:space
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">fieri motum in vaſe compoſito quam in ſimplici; </
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<
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§. </
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<
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<
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<
s
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">accuratius intelligitur ex æquationibus differen-
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tialibus, quas §. </
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<
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<
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<
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<
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<
s
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xml:space
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">dedimus, quibus ſi utamur ad prima motuum in-
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crementa invenienda, tam in cylindro ſimplici Fig. </
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<
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<
s
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Fig. </
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<
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<
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<
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">tubi eſſe ut
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m ad n, erit incrementum, quod vocavimus d v in vaſe ſimplici ad incre-
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mentum in vaſe compoſito, ut 1 + {3m/n} ad 4, adeoque longe majus in iſto
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caſu quam in hoc. </
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<
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">Si proin primum motum recte percipere liceret, cele-
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riorem ſtatim illum obſervaturi eſſemus, qui fit in Cylindro ſimplici; </
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<
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vero in §. </
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<
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<
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">porro demonſtratum fuerit, ſuperficiem aquæ, poſt-
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quam paululum deſcendit in utroque vaſe proxime tales eſſe, quæ reſpon-
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deant altitudinibus {nn/mm} x, intelligendo per x altitudines aquæ ſupra orificia,
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per quæ effluit, ſequitur mox multo majori velocitate aquam deſcendere in
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Fig. </
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<
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<
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<
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<
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<
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23. </
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<
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<
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dius fieri in cylindro Fig. </
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<
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<
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xml:space
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dicat, quod obſervatum fuit; </
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<
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">at certe differentia multum abeſt, ut tanta
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inde oriri poſſit, quantam expertus fui, neque amplius ſenſibilis eſſe debe-
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ret, poſtquam utrobique ſuperficies paullulum deſcendit, per §. </
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debet autem reliquum impedimento tribui, quod ab attritu aquæ in Fig. </
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oritur: </
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velocitatem auctam, quam ob amplitudinem vaſis diminutam impedimentum
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motui aquæ validiſſimum offertur.</
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<
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ſuperficiem deſcendere in Cylindro Fig. </
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<
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<
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autem mox poſt commune motus initium, poſitis nempe altitudinibus aquæ
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ſupra orificia effluxus fere æqualibus, velocitates in Figuris 25. </
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xime eſſe ut amplitudines orificiorum B & </
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<
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minor obſervetur velocitatum differentia, rurſus impedimento frictionis eſt
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tribuendum præter aliam cauſam in fine §. </
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