Bernoulli, Daniel
,
Hydrodynamica, sive De viribus et motibus fluidorum commentarii
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SECTIO QUARTA.
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">è lamina tenui factum quique foramen habebat in latere, id eſt, in ſuper-
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ficie cylindrica: </
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<
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">erat diameter foraminis = 4 {52/125} lin. </
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<
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xml:space
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">aquæ effluebant hori-
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zontaliter ex cylindro verticaliter poſito, & </
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<
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xml:space
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">fuit ab initio fluxus altitudo aquæ
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ſupra centrum foraminis = 4. </
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<
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<
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<
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<
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">ſimiliſque altitudo in fine fluxus =
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3. </
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<
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<
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">duravit autem omnis fluxus intervallo undecim automati pulſuum, quæ
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proxime efficiunt tempus 4. </
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<
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">minutorum ſecundorum cum dimidio.</
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<
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</
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<
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">Porro repetito ſæpius experimento obſervatiſque tum altitudine fora-
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minis ſupra tabulam horizontaliter poſitam, tum amplitudine jactus, hacque
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tam in principio quam in fine fluxus, vidi ex Lemm. </
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<
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">in principio Experimento-
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rum præcedentis Sect. </
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<
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">indicato velocitatem aquæ effluentis in loco venæ maxime
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contractæ conſtanter talem fuiſſe, quantum quidem ſenſibus dijudicari potuit,
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quæ deberetur altitudini aquæ ſupra eundem locum, qui in eadem altitudine
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eſt quâ foramen.</
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<
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">Igitur ſi contractionem venæ aqueæ ubique eandem fuiſſe ponamus & </
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huic caſui applicemus æquationem ultimam paragraphi decimi tertii, nempe
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t = {2mα/n}(√a - √c) erit ponendum t = 4 {1/2} min. </
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<
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<
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<
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">2√a(= tem-
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pori quod corpus inſumit libere cadendo per altitudinem aquæ initialem) =
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o, 1483 & </
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<
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">2 √c (= tempori ſimili pro altitudine aquæ ultima) = o, 1246: </
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4 {1/2} = 3, 15 α unde α = 1, 43. </
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<
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">Exinde conſequens eſt, amplitudinem fora-
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minis fuiſſe ad ſectionem venæ contractæ ut 143. </
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<
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<
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major eſt quam quæ intercedit inter √ 2 & </
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<
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<
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<
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accuratiſſime velocitates obſervari potuiſſent, dubium non eſt, quin illæ paul-
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lo minores futuræ fuiſſent, quam quæ toti altitudini aquæ debeantur; </
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<
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hujus rei ratio habetur, deprehenditur valorem ipſius α ſic pauxillum dimi-
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nuendum eſſe; </
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<
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tutiſſime rationem
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præmemoratam fuiſſe ut √ 2 ad 1.</
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