Bernoulli, Daniel
,
Hydrodynamica, sive De viribus et motibus fluidorum commentarii
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HYDRODYNAMICÆ.
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<
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">Fluidum homogeneum, duobus tubis @ communicantibus
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utcunque formatis incluſum, ad æquilibrium eſt compoſitum, quando
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ambæ ſuperficies ad libellam poſitæ ſunt, id eſt, æqualem à puncto vaſis
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infimo diſtantiam verticalem ſervant.</
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communicantibus compoſito incluſum, ponaturque in utroque crure
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ad eandem altitudinem poſitum: </
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">dico non poſſe ſitum hunc mutari, quin
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corpus aliquod grave ex ſitu inferiori in altiorem ſe recipiat, quod eſſet
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contra naturam gravium; </
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tera parte D ex D elevetur in d, quoniam pars vaſis reliqua eodem fluido
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ante & </
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ſitus eſt, quod particula E e aſcenderit in D d.</
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">Cæterum idem quoque liquet ex Theoremate primo, quandoquidem
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in aqua ſtagnante tubus utcunque formatus fingi poteſt, in quo utique aqua
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ſitum ſervabit, quem antea habuit, cum perinde ſit, ſive aqua tubo incluſa,
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coërceatur lateribus tubi, ſive circumſtagnante aqua.</
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maſſa D B E ſitum ſuum commutaſſe concipiatur cum ſitu d B e, facile de-
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monſtratur centrum gravitatis totius maſſæ in ſitum altiorem aſcendiſſe,
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quod non minus abſurdum eſt: </
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ne nulla eſt particula in E e, quæ non aſcenderit poſt mutatum ſitum, exi-
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ſtimavi ſtrictiorem & </
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nulla conſideratio habeatur.</
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