Bernoulli, Daniel
,
Hydrodynamica, sive De viribus et motibus fluidorum commentarii
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SECTIO PRIMA.
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ſed cum talia non ſunt, facile eſt videre, partem virium vivarum ſive aſcenſ{us}
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potentialis in compreſſionem corporum impenſam corporibus non reſtitui, ſed
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materiæ cuidam ſubtili, ad quam tranſiit, impreſſam hærere: </
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recte conſideretur, quum ratio cognoſcitur, quæ eſt inter partem corporibus
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reſiduam, eamque quæ ad materiam ſubtilem tranſiit; </
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<
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">apparebit, facile occur-
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ri poſſe iſti incommodo, ſicque recte definiri leges motuum pro corporibus
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mollibus. </
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">Simile quid ſuccedit in motu aquarum computando, ubi quan-
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doque manifeſtum eſt, partem aſcenſ{us} potentialis continue perdi; </
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<
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rei in ſubducendo calculo ratio habenda eſt: </
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xml:space
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">ad quod probe attento multa
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de aquarum fluxu Theoremata nova mihi contigit detegere, quæ videre eſt in
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Sect. </
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<
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xml:space
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">de quibus nondum video, an ulla alia methodo demon-
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ſtrari nedum excogitari poſſint.</
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<
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">Sic igitur non incautus principio noſtro uſus ſum, hocque mo-
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do non ſolum de motu aquarum, ſed & </
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<
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">de earum preſſione, quod mirum
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videri poteſt, multa antea incognita ſe offerunt, quæ nondum inſtituta Ana-
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lyſi nemo facile præviderit nec expectarit. </
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">Quum vero fit, ut aſcenſ{us} poten-
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tialis nec omnis conſervari poſſit ex rei natura, nec prævideri, quanta pars
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abſorbeatur, non ſatis accurate motus fluidorum determinari poteſt, nec pu-
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to, ulla alia methodo poſſe. </
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<
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">Igitur Lectorem cautum eſſe velim in corolla-
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riis ex Theoria noſtra deducendis, quæ ſæpe propter mutatas circumſtantias
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non accurate cum experimentis convenire poterunt.</
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">Ex præmemoratis jam ſatis liquet, ex noſtra methodo requiri,
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ut ſingularum particularum fluidi definiatur velocitas ex aſſumta velocitate,
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quæ eſt aliquo in loco, veluti in loco effluxus. </
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ſuperaddere hypotheſin, quæ hæc eſt: </
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<
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">poſtquam ſcilicet mente concepimus
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diviſum fluidum in ſtrata, ad directionem motus perpendicularia, ponemus
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fluidi particulas ejusdem ſtrati eadem velocitate moveri, ita, ut ubique velo-
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citas fluidi reciproce proportionalis ſit amplitudini vaſis reſpondenti. </
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ta eſt hæc hypotheſis, quamvis cæterum notum ſit, fluidum ad latera vaſis
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paullo tardius, in medio autem velocius moveri, quod ab attritu fit, alias-
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que etiam exceptiones ſubinde eſſe faciendas; </
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<
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modi defectibus rariſſime poteſt oriri.</
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phænomenorum, quæ conſervationem virium vivarum in motu fluidorum </
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