Bernoulli, Daniel
,
Hydrodynamica, sive De viribus et motibus fluidorum commentarii
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crementa ab illis ſperari poſſint aut debeant. </
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<
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xml:space
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tero, momenta operis ſuſcepti indicabo.</
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<
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xml:space
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">Exhibentur primo loco Theoremata præcipua, quæ ad æquili-
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brium fluidorum ſtagnantium pertinent: </
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<
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xml:space
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">viſa mihi fuit inſtituti ratio id poſtu-
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lare, quamvis libenter fatear, nullas a me novas adjectas fuiſſe propoſitiones:
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</
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<
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">Demonſtrandi quidem modus, quantum ſcio, mihi proprius eſt, ſed cum facile
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ſit, innumeras ſibi fingere demonſtrationes, parum eſt, hac quoque in parte,
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quod mihi arrogo. </
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<
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">Phænomena præterea aliqua tubulorum capillarium obi-
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ter recenſentur, & </
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">denique occaſione preſſionis, quam fluida in latera vaſis
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exercent, Theoremata varia & </
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<
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">nonnulla nova adduntur, circa figuram veſica-
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rum liquore impletarum, circa earundem potentias ad onera elevanda, circa
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conſtructionem & </
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xml:space
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">Agitur poſtea de motu fluidorum ex vaſe effluentium, & </
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<
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nes, qui hactenus de hacre egerunt, caſum unicum maxime obvium, quo
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foramen ratione amplitudinis vaſis internæ infinite parvum cenſetur, in Theo-
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ri
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a ſua conſideraverint, noſtra non parum commendatur ſua latitudine; </
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tendit enim ſe ad poſitionem foraminis cujuſcunque magnitudinis, imo & </
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vaſis cujuscunque figuræ. </
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">Quamvis enim figuræ vaſis internæ conſideratio mi-
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nime requiritur, cum foramen ut infinite parvum conſiderari poteſt, attamen
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ſine illa motus aquæ definiri nequit, cum eſt notabilis magnitudinis. </
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<
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">Ex Theo-
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ria generali corollaria deducuntur, quæ motum aquarum variabilem ejusdem-
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que affectiones egregie illuſtrant, confirmantque, quicquid aut experientia do-
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cuit, aut rei attributiones per ſe manifeſte indicant. </
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<
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">Docet quidem Theoria,
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quando amplitudines internæ vel mediocriter ſuperant amplitudinem luminis,
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errorem eſſe inſen@@@@em, qui ex conſideratione foraminis ut infinite parvi
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naſcitur, atque ſic noſtræ additiones nonnullis fortaſſe videbuntur ſatis inutiles.
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</
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<
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">Hos vero, ſi modo qui futuri ſint, @@@@m cogitare velim, præter quod non ſo-
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lum aquariis ſcribo, ſed & </
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nudis etiam delectan-
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tur, uſum noſtrarum meditationum aliis in rebus maximum eſſe, quod magis
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intelligent, cum perpenderint, motum incipere a quiete, & </
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<
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ſire gradus, priuſquam certam celeritatem obtineat, maximas mutationes ſæ-
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pe quidem tam brevi fieri temporis momento, ut ſenſibus nullo plane modo
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percipi poſſint, determinandas tamen eſſe ad ſingula puncta, tum ut motus
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animo recte percipiatur, tum quia exinde varia deduci poſſunt Theoremata.</
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