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

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10389SECTIO QUARTA.

Experimentum 12.

Jam itaque uſus fui tubo cylindrico per quem facilior fit transfluxus eo-
que ob eandem rationem ampliore: erat præterea arca cui tubus inſertus fuit
multo amplior, & denique altitudo aquæ in arca contentæ ſupra axem tubi
multo minor fuit, ut minori velocitate aquæ transfluerent, ſicque obſtacu-
la minoris momenti offenderent: Cætera fuerunt, ut ante.

Fuit igitur altitudo aquæ ſupra axem tubi = 130. part. o P = 553. part.
P Q = 453. part. P R = 297. diameter G F vel M N = 19. part. tubique longi-
tudo 130. part.

Vidi aquam in patinam delapſam cylindrum expleviſſe, qui 8 {1/2} part.
in diametro continebat ad altitudinem 281. part. & cujus proinde capacitas
erat 15950. part. cub. In hoc caſu ponendum eſt a = {453. 453/4. 553} = 93. part.
e = 40. part. n = g = 284. particulis quadratis & b = 130. His vero factis
ſubſtitutionibus fit
nb√{n/g} X log. {a/a - e} = 284. 130. log. {93/53} = 20760,
cui numerus in experimento reſpondet, ut vidimus, 15950. Hic vero nu-
merus fere quatuor quintas alterius explet, ſicque eidem proxime accedit,
cum in præcedenti exemplo ob rationes allatas ſimilis numerus à ſimili plus
quam dimidio defecerit,

Jam igitur abunde patet, ſolis obſtaculis extrinſecis attribuendum eſſe,
quod experimenta non ad amuſſim reſpondeant formulis; interim tamen ta-
lia eſſe, ut non poſſint melius harum formularum robur demonſtrare.

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