Bernoulli, Daniel
,
Hydrodynamica, sive De viribus et motibus fluidorum commentarii
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SECTIO DECIMA TERTIA.
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rit fiſtula, eo tardius accelerantur aquæ & </
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<
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">viciſſim, ſic ut in inſtanti à quiete
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maximum ſuum celeritatis gradum acquirant, ſi longitudo fiſtulæ nulla fue-
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rit; </
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<
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">at ſi infinitæ fuerit eadem hæc fiſtula longitudinis, aquæ nonniſi poſt
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tempus infinitum notab lem celeritatis gradum acquirere poſſunt.</
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<
s
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">(β) Fieri igitur poteſt non mutata aquarum altitudine, ut diſpendio
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aquarum quantumvis parvo, vis repellens notabilis ſit, eaque pro lubitu
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duret; </
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<
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xml:space
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">& </
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<
s
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xml:space
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">id quidem duplici obtineri poteſt modo, tum prolongando fiſtu-
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lam, tum etiam obturando ſæpius orificium, antequam aquæ notabilem ve-
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locitatis gradum attigerint; </
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<
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">prior tamen modus liberum aquarum fluxum
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per fiſtulam ponit: </
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<
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">retardato enim ab impedimentis extrinſecis, in prælon-
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gis fiſtulis nunquam vitabilibus, aquarum fluxu, diminuitur quoque vis
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repellens.</
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<
s
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">(γ) Liceat hic paucis attingere verbis propoſitionem aliquam ex princ.
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<
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">Auctor hic poſtquam ſententiam ſuam de ve-
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locitate aquarum ex vaſe effluentium in prima citati operis editione exhibi-
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tam mutaſſet, easque, ſi verticaliter ſurſum ejiciantur, ad integram ſuper-
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ficiei aquæ altitudinem aſcendere agnoviſſet in editione ſecunda, talia ſubje-
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cit verba in libro ſecundo propos. </
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motus generari poteſt, æqualis eſt ponderi cylindricæ columellæ aquæ, cujus
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baſis eſt for amen E F (vid. </
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<
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Iſta ſententia à me olim & </
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ta. </
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<
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">Nunc autem poſtquam hanc aquarum motarum theoriam medita-
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tus ſum, lis ita dirimenda mihi videtur, ut cum aquæ ad motum unifor-
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mem pervenerint, quæ quidem hypotheſis eſt Newtoni, tunc recte altitu-
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dine 2 G I vis illa definiatur, ſed ab initio fluxus, ubi velocitas adhuc nulla
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eſt, vis ſimplici altitudini G I reſpondeat, moxque creſcente velocitate ſi-
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mul vis aquam ad effluxum animans creſcat, & </
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<
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nem exſurgat, quam Newtonus aſſignavit. </
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via, quia vis motum aquæ generans, de qua Newtonus loquitur, non po-
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teſt non eſſe æqualis vi repellenti, quam vidimus eſſe æqualem a + v. </
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cte etiam Jll. </
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gatus, unde vis illa duplæ aquarum altitudini conveniens oriri po{ſsi}t, </
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