Full text: Bernoulli, Daniel: Hydrodynamica s. de viribus et motibus fluidorum commentarii

HYDRODYNAMICÆ v = {14x + b/14 + {nn/αα}}
atque ſi ratio foraminum D & G ſuerit ex gr. ut 3 ad 1, fiet
v = {14x + b/23}

§. 16. Patet quoque ratiocinium iſtud non excludere eos caſus, qui-
bus fluida ſuperiora ſunt inferioribus ſpecifice graviora, modo fluida infe-
riora non aſcendant per eadem foramina, per quæ ſuperiora deſcendunt: neque vero id futurum eſſe præſumo (nec tamen affirmo) cum loco ſimpli-
cis foraminis tubulus ſit quamvis exiguæ altitudinis, per quem liquor ſupe-
rior deſcendat in inferiorem cavitatem, velutiin fig. 40. ubi quidem duo tantum
liquores conſiderantur.

Hic autem altitudo C R variabilis eſt, & altitudo A C conſtans; in-
terim tamen uniformitatis litterarum gratia vocabimus alt@tudinem A C = x,
alteram C R = b; gravitatem ſpecificam fluidi per D erumpentis faciemus rur-
ſus = A, alteriusque fluidi per G transeuntis = B, & erit altitudo D O
ſeu
v = {Ax + Bb/A + {nn/αα}B}
Igitur ſi per foramina D & G reſpective fluant aqua & me [?] rcuri [?] us erit nunc
v = {x + 14b/1 + {14nn/αα}}

§. 17. Ut porro innoteſcat motus fluidi ſimplicis ex vaſe ſuperne
parvulo foramine aërem admittente, obſervandum eſt, nullam hic altitudi-
nem eſſe b; quia aër utrique orificio incumbere ad eandem altitudinem cen-
ſeri poteſt, erit proinde
v = {Ax/A + {nn/αα}B
atque ſi fuerit {A/B} = 850, quæ præterpropter ſolet eſſe proportio inter
gravitates ſpecificas aquæ & aëris, erit
v = {850x/850 + {nn/αα}};

Note to user

Dear user,

In response to current developments in the web technology used by the Goobi viewer, the software no longer supports your browser.

Please use one of the following browsers to display this page correctly.

Thank you.

powered by Goobi viewer