Bernoulli, Daniel
,
Hydrodynamica, sive De viribus et motibus fluidorum commentarii
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SECTIO TERTIA.
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xml:space
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">Experimenta quæ ad Sect. 3. pertinent.</
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">PLurima quidem ſunt in hâc Sectione eaque fere præcipua, quæ vix
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ad experimenta revocari immediate poſſunt; </
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<
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xml:space
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">Etenim cum Auctores ha-
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ctenus motum in fluidis effluentibus alium non conſideraverint,
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quam qui fiunt per foramina valde parva, cumque proin nova ſit theoria
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quam dedimus pro amplitudinibus foraminum qualibuscunque, hæc ipſa
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eſt, cujus confirmatio maxime juvaret. </
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<
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xml:space
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">At non video, quomodo in Cy-
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lindris verticalibus, de quibus potiſſimum egimus, velocitas aquæ effluen-
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tis obſervari poſſit, præſertim cum foramen eſt valde amplum (ſecus enim
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ex tempore depletionis aliquod de velocitatibus judicium ferri poteſt.) </
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<
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ita perpendens cogitavi demum ſcopo noſtro inſervire poſſe paragraphos 16.
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<
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">in quorum priore determinata fuit velocitas maxima aquæ effluentis
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ex cylindris verticaliter poſitis, in altero autem demonſtratum eſt, eundem
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eſſe motum ex cylindris oblique poſitis & </
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<
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">verticalibus, ſi utrobique altitudi-
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nes verticales ſimiles aſſumantur: </
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<
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">Commode igitur utemur cylindris oblique
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poſitis, ut ex maxima amplitudine jactus aquei poſſit velocitas maxima aquæ
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ſeu altitudo eidem debita experimento haberi: </
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<
s
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xml:space
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">hâc quidem ratione accu-
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rate velocitas illa maxima, qualis revera eſt, explorari poteſt, etiamſi ſo-
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ramina ſint quantumlibet magna, quæ proin ſi convenire obſervetur cum re-
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gulis noſtris, de integra theoria dubium ſupereſſe nullum poterit.</
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<
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ma
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mechanicum, quod ſequitur.</
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directionem habeat qualemcunque, ſub cujus directione corpus in A proje-
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ctum intelligatur, arcum deſcribens parabolium A C, cujus nempe tangens
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in A eſt recta A D, erit altitudo debita velocitati, qua corpus in A proje-
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ctum fuit, = {BC
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X AD
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/4AB.</
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<
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">CD} atque ſi AD fuerit horizontalis ſive angulus B A D
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rectus, erit eadem illa altitudo = {BC
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/4AB}.</
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<
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