Bernoulli, Daniel
,
Hydrodynamica, sive De viribus et motibus fluidorum commentarii
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HYDRODYNAMICÆ
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<
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<
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<
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xml:space
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perſpectâ hâc theoriâ ſatis paradoxum videri potuiſſet, ſitum diaphragmatis
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E F ſive altiorem ſive humiliorem nullo modo mutare impetum ſive veloci-
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tatem aquæ effluentis; </
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<
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xml:space
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">ratio autem iſtius phænomeni omnibus nunc, puto,
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manifeſta eſt.</
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<
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<
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ſunt diaphragmata foraminibus pertuſa, per quæ aquæ tranſire cogantur, ut
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effluxus per foramen D fieri poſſit. </
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<
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xml:space
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ſumus in problemate §. </
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<
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<
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minationibus ibidem adhibitis apparebit eſſe
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v = x: </
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<
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xml:space
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">(1 + {nn/αα} + {nn/ββ} + {nn/γγ} + &</
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<
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</
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<
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<
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<
s
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xml:space
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">intelliguntur amplitudines foraminum, quæ ſunt in dia-
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phragmatibus, dum n exprimit ut antea amplitudinem foraminis D, per quod
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aquæ effluunt.</
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<
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(Fig. </
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<
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<
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<
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aqua transfluat, dum per infimum foramen D effluit, mutabitur & </
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tur confeſtim velocitas aquæ effluentis, quoties aliqua cavitas depletur: </
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<
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autem eſſe poteſt proportio inter altitudines A B, B C, C R, R E &</
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</
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<
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<
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<
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nova depleri incipit concameratio, vena effluens ad eandem altitudinem
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O aſſurgat, ſeu eadem velocitate effluat. </
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<
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plitudinibus foraminum D, G, F, H &</
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B C = {nn/αα} A B; </
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ita ut poſitis ſoraminibus inter ſe æqualibus ſint pariter lineæ A B, B C, C R,
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R E &</
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<
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eam conciliare foraminibus magnitudinem, ut ſuperficies fluidi eodem tem-
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pore ab uno diaphragmate ad ſubſequens quodcunque deſcendat, & </
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<
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hæc diaphragmata æqualiter à ſe invicem & </
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<
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ſydrarum ſtructura excogitari poteſt.</
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<
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