Bernoulli, Daniel
,
Hydrodynamica, sive De viribus et motibus fluidorum commentarii
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61 - 70
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81 - 90
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111 - 120
121 - 130
131 - 140
141 - 150
151 - 160
161 - 170
171 - 180
181 - 190
191 - 200
201 - 210
211 - 220
221 - 230
231 - 240
241 - 250
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<
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71
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rhead
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SECTIO QUARTA.
"/>
tur {1/100} & </
s
>
<
s
xml:id
="
echoid-s1935
"
xml:space
="
preserve
">per a pes dimidius, dum pro a ſubſtitui poteſt √2. </
s
>
<
s
xml:id
="
echoid-s1936
"
xml:space
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preserve
">(non deſide-
<
lb
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ramus enim hic ſummam accurationem) & </
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>
<
s
xml:id
="
echoid-s1937
"
xml:space
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">per log. </
s
>
<
s
xml:id
="
echoid-s1938
"
xml:space
="
preserve
">indicatur logarithmus
<
lb
/>
hyperbolicus, ita vero fit,
<
lb
/>
{2nna/mmαα}log.</
s
>
<
s
xml:id
="
echoid-s1939
"
xml:space
="
preserve
">{mα/n} = {1/20000} (log. </
s
>
<
s
xml:id
="
echoid-s1940
"
xml:space
="
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">100. </
s
>
<
s
xml:id
="
echoid-s1941
"
xml:space
="
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">+ {1/2} log. </
s
>
<
s
xml:id
="
echoid-s1942
"
xml:space
="
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">2.) </
s
>
<
s
xml:id
="
echoid-s1943
"
xml:space
="
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">=
<
lb
/>
0, 0002475 ped. </
s
>
<
s
xml:id
="
echoid-s1944
"
xml:space
="
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">ſeu, 0, 000297 poll. </
s
>
<
s
xml:id
="
echoid-s1945
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s1946
"
xml:space
="
preserve
">quoniam amplitudinem vaſis
<
lb
/>
æqualem inveneram 6 {1/5} poll. </
s
>
<
s
xml:id
="
echoid-s1947
"
xml:space
="
preserve
">quadratis, intellexi quantitatem aquæ quæſitam,
<
lb
/>
quæ nempe effluere debuiſſet priusquam jactus maximus oriretur, exæquare
<
lb
/>
circiter partem quinquageſimam ſecundam unius pollicis cubici, ſeu, poſito
<
lb
/>
guttam mediocrem ſex lineas cubicas efficere, plusquam quinque guttas. </
s
>
<
s
xml:id
="
echoid-s1948
"
xml:space
="
preserve
">In ex-
<
lb
/>
perimento autem nullam obſervavi, cujus rei rationem eſſe ſuſpicor, quod primæ
<
lb
/>
guttulæ, quam vis jam ejectæ ab aqua ſubſequente tamen etiamnum propellantur;
<
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/>
</
s
>
<
s
xml:id
="
echoid-s1949
"
xml:space
="
preserve
">nimis enim celeriter alteræ ſubſequuntur, quam ut primæ ab illis interea divelli
<
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poſſint. </
s
>
<
s
xml:id
="
echoid-s1950
"
xml:space
="
preserve
">Huc autem facit, quod tempusculum à fluxus initio ad maximam ex-
<
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/>
Pulſionem usque (quod nempe per §. </
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>
<
s
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="
echoid-s1951
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xml:space
="
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">13. </
s
>
<
s
xml:id
="
echoid-s1952
"
xml:space
="
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">eſt proxime = {2n@√a/mα} log. </
s
>
<
s
xml:id
="
echoid-s1953
"
xml:space
="
preserve
">{mα/n}, ubi
<
lb
/>
per 2√a hic intelligitur tempus, quo corpus per altitudinem dimidii pedis
<
lb
/>
labitur, id eſt, circiter {2/11} unius minuti ſecundi) quod inquam tempuſculum
<
lb
/>
illud non ultra partem centeſimam quinquageſimam octavam unius minuti
<
lb
/>
ſecundi excurrat.</
s
>
<
s
xml:id
="
echoid-s1954
"
xml:space
="
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"/>
</
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>
<
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>
<
s
xml:id
="
echoid-s1955
"
xml:space
="
preserve
">Fortaſſe aliquid contribuit, quod non poſſit digitus ſat celeriter à fo-
<
lb
/>
ramine removeri. </
s
>
<
s
xml:id
="
echoid-s1956
"
xml:space
="
preserve
">Præſertim vero huc pertinet, quod maxima pars illius
<
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aquæ, quæ ante præſentem maximam velocitatem erumpit, ita ad maximam
<
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/>
jactum accedat, ut nulla differentia obſervari poſſit & </
s
>
<
s
xml:id
="
echoid-s1957
"
xml:space
="
preserve
">ſic vix unica guttula
<
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/>
notabili diſcrimine ab illo defectura fuiſſet, ſi ſe libere ab aqua ſubſequente
<
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/>
ſeparare potuiſſet.</
s
>
<
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xml:id
="
echoid-s1958
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"/>
</
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<
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<
s
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="
echoid-s1959
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">§. </
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<
s
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="
echoid-s1960
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">15. </
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<
s
xml:id
="
echoid-s1961
"
xml:space
="
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">Hactenus de aquis per foramina effluentibus: </
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>
<
s
xml:id
="
echoid-s1962
"
xml:space
="
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">progrediamur
<
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/>
nunc ad effluxum aquarum ex vaſis per conos ſeu convergentes ſeu diver-
<
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/>
gentes. </
s
>
<
s
xml:id
="
echoid-s1963
"
xml:space
="
preserve
">Quod ſi autem aquæ effluant per tubum convergentem, dictat ea-
<
lb
/>
dem ratio à motu particularum convergente petita §. </
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>
<
s
xml:id
="
echoid-s1964
"
xml:space
="
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">3. </
s
>
<
s
xml:id
="
echoid-s1965
"
xml:space
="
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">pro foraminibus ſim-
<
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plicibus expoſita, fore ut aquæ vena præ foramine contrahatur etiam-
<
lb
/>
num ejusque particulæ accelerentur & </
s
>
<
s
xml:id
="
echoid-s1966
"
xml:space
="
preserve
">ſic quantitas aquæ dato tem-
<
lb
/>
pore effluentis minor ſit quam menſuræ orificii effluxus & </
s
>
<
s
xml:id
="
echoid-s1967
"
xml:space
="
preserve
">velocitatum,
<
lb
/>
nulla habita ratione ad contractionem venæ, indicant. </
s
>
<
s
xml:id
="
echoid-s1968
"
xml:space
="
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">Parva autem </
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>
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