Bernoulli, Daniel
,
Hydrodynamica, sive De viribus et motibus fluidorum commentarii
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HYDRODYNAMICÆ.
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ra tubi minorem continue habuerit effectum: </
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<
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">fecerunt autem iſtæ impedimen-
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torum diminutiones, ut aquæ majori velocitate in loco, quo vena maxime
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erat contracta, fluerent, & </
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<
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">nihilominus parcius erogarentur: </
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colligitur ex obſervatis effluxus temporibus & </
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<
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">venarum, ubi maxime contra-
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huntur, amplitudinibus. </
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<
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xml:space
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">Igitur cum in hiſce venæ mutationibus cardo reiver-
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tatur, è re erit phænomena uberius examinare & </
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<
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<
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<
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">cylindrum verticalem, qui in medio fundi
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horizontaliter poſiti, habeat foramen, aqua autem interna diviſa concipiatur
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in ſtrata horizontalia: </
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<
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xml:space
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">His ita poſitis, cenſuimus motum cujusvis ſtrati eun-
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dem eſſe & </
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<
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xml:space
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">talem quidem, ut ſitus horizontalis in illis conſervetur, ubi tamen
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monui, non poſſe hanc hypotheſin extendi ad ſtrata foramini proxima, quo-
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niam vero inde nullus error ſenſibilis oriri poſſit ratione velocitatis aquarum
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effluentium, operæ pretium non eſſe, ut ejus rei ratio habeatur. </
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<
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xml:space
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">Nunc vero,
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quando alia phænomena à motu aquæ internæ obliquo, qualis præſertim in
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prædictis ſtratis foramini proximis eſt, pendent, hunc paucis luſtrabimus.</
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<
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<
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xml:space
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">Mihi autem videtur motum@ aquæ internæ talem eſſe conci-
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piendum, qualis foret ſi aqua ferretur per tubulos infinitos juxta ſe poſitos,
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quorum intermedii proxime rectà à ſuperficie verſus foramen deſcendunt, re-
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liquis ſenſim ſe incurvantibus prope foramen, uti Fig. </
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<
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apparet, ſingulas particulas hoc modo deſcendere motu tantum non verticali,
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donec fundum prope attingant, eaſque tunc curſum ſuum ſenſim verſus fo-
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ramen inflectere, ita ut particulæ fundo proximæ motu fere horizontali, alte-
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ræ magis verticaliter ad foramen effluant. </
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<
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ſervare potui, cum particulæ ceræ, quam vocant Hiſpanicæ, innatabant aquæ.
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</
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<
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">Exinde autem intelligitur non poſſe ſingulas particulas foramini adſtantes dire-
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ctionem ſuam integram ſervare, neque tamen ita eam inflectere, ut motum axi
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plane parallelum aſſumant, ſed fore potius, ut vena aquæ effluentis contra-
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hatur uſque in d e, ubi ſic notabiliter gracilior erit, quam in ortu circa fora-
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men a c. </
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<
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">Hæc autem contractio venæ verticaliter fluentis non confundenda eſt
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cum alia contractione, quæ fit ab acceleratione aquæ. </
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<
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">Dein patet quoque,
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quod cum ſingularum particularum foramini adſtantium diverſa ſit directio,
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neceſſario ab impetu, quem in ſe mutuo faciunt e
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ædem particulæ, vena </
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