Bernoulli, Daniel
,
Hydrodynamica, sive De viribus et motibus fluidorum commentarii
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HYDRODYNAMICÆ
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<
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xml:space
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xml:space
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<
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xml:space
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">2. </
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xml:space
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">Per potentiam moventem deinceps intelligam principium illud agens,
<
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/>
quod conſiſtit in pondere, preſſione animata aliisve hujuscemodi viribus,
<
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uti dicuntur, mortuis.</
s
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<
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<
s
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xml:space
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">Productum autem quod oritur à multiplicatione potentiæ iſtius moventis
<
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per ejusdem velocitatem æque ac tempus durante quo preſſionem ſuam exe-
<
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rit, deſignabo per potentiam abſolutam. </
s
>
<
s
xml:id
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echoid-s4766
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xml:space
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">Vel quia productum ex velocitate & </
s
>
<
s
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<
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tempore proportionale eſt ſimpliciter ſpatio percurſo, licebit etiam potentiam
<
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abſolutam colligere ex potentia mouente multiplicata per ſpatium, quod eadem
<
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percurrit. </
s
>
<
s
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xml:space
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">Id vero productum ideo voco potentiam abſolutam, quia ex illo de-
<
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mum æſtimandi ſunt labores hominum operariorum in elevandis aquis exant-
<
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lati, quod mox demonſtratum dabo in regulis, quæ mihi in hanc rem ob-
<
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ſervatæ fuerunt. </
s
>
<
s
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echoid-s4769
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xml:space
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preserve
">Interim viſæ mihi fuerunt machinæ hydraulicæ commode ſe
<
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reduci pati ad duo genera, quorum alterum aquas cum impetu ejicit, alte-
<
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rum de loco in locum placide veluti transportat. </
s
>
<
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xml:space
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">Utrumque ordine ſuo
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pertractabo genus & </
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<
s
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xml:space
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">denique ſub finem quædam addam de diverſis poten-
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tiis moventibus.</
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xml:space
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">(A) De machinis aquas cum impetu in altum projicientibus.</
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<
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<
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<
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<
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xml:space
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">Labores hominum operariorum, qui machinis hydraulicis pro
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aquis elevandis apponuntur, æſtimandi ſunt ex potentia abſoluta, id eſt, ex
<
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potentia movente ſeu preſſione quam exerunt, ex tempore & </
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<
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">ex velocitate
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puncti, cui potentia movens applicatur.</
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<
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<
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xml:space
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">(α) De potentia movente res eſt perſpicua: </
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xml:space
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">labores enim cæteris omni-
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bus paribus ſunt utique proportionales numero operariorum ſeu potentiæ mo-
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venti. </
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<
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xml:space
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">(β) Ratione temporis res eſt non minus manifeſta ex omnium cir-
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cumſtantiarum replicatione, quæ ex duplicatione temporis oritur. </
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<
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xml:space
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nique quod ad velocitatem attinet res ex eo eſt deducenda, quod ſive poten-
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tiam moventem duplices, ſive ejus velocitatem non diverſus oriatur </
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