Bernoulli, Daniel, Hydrodynamica, sive De viribus et motibus fluidorum commentarii

Table of Notes

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page |< < (87) of 361 > >|
10187SECTIO QUARTA. cularum mutua adhæſione præveniri potuiſſent. Experimenta autem ſunmſi
tum
de tubo divergente, tum de cylindrico:
ſingula nunc exponam:
Denique diameter G F erat = 13. part & M N = 17 part. longitudo
tubi
autem erat = 125 part.
Jam vero deberet iſta quantitas per §. 20. eſſe = nb√{n/g} X log. {a/a - e},
ubi
per n intelligitur amplitudo orificii N M ſeu 227.
part. quadratæ per g am-
plitudo
orificii G F = 133.
part. quadr. denotat porro b longitudinem tubi,
quæ
fuit = 125 part.
per a proprie intelligitur altitudo ſuperficiei C D, ſupra
axem
tubi, hic vero intelligenda potius eſt altitudo conveniens velocitati
aquæ
in punctum Q incidentis, ſeu 141.
part. ſimiliterque pro e ſumenda eſt
altitudo
conveniens velocitati particulæ in punctum R incidentis, nempe 73 part.
Denique vox abbreviata log. ſignificat logarithmum Hyperbolicum. Factis
iſtis
ſubſtitutionibus numericis, fit
nb√
{n/g} X log.
{a/a - e} = 227 X 125 X {17/13} X log. {141/68} = 26830.

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