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

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[101.] Corollarium 4.
[102.] Theorema.
[103.] Demonſtratio.
[104.] Problema.
[105.] Solutio.
[106.] Corollarium. 1.
[107.] Corollarium 2.
[108.] Scholion.
[109.] Theorema.
[110.] Demonſtratio.
[111.] Problema.
[112.] Solutio.
[113.] Scholium.
[114.] Corollarium 1.
[115.] Corollarium 2.
[116.] Scholion Generale.
[117.] HYDRODYNAMICÆ SECTIO SEPTIMA. De motu aquarum per vaſa ſubmerſa, ubi exem-plis oſtenditur, quam inſigniter utile ſit princi-pium conſervationis virium vivarum, veliis in caſibus, quibus continue aliquid de illis perdi cenſendum eſt. PARS PRIMA. De deſcenſu aquarum. §. 1.
[118.] PARS SECUNDA. De aſcenſu aquarum.
[119.] Corollarium.
[120.] Scholium Generale.
[121.] EXPERIMENTA Ad ſect. ſept. referenda. Experimentum 1.
[122.] Experimentum 2.
[123.] Experimentum 3.
[124.] De iſto tubo experimentum ita ſumſi:
[125.] Experimentum 4.
[126.] Experimentum 5.
[127.] HYDRODYNAMICÆ SECTIO OCTAVA. De motu fluidorum cum homogeneorum tum hetero-geneorum per vaſa irregularis & præruptæ ſtru-cturæ, ubi ex theoria virium vivarum, quarum pars continue abſorbeatur, explicantur præcipue Phæno-mena ſingularia fluidorum, per plurima foramina trajecto-rum, præmiſsis regulis generalibus pro motibus fluido-rum ubique definiendis. §. 1.
[128.] Regula 1.
[129.] Regula 2.
[130.] Problema.
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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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