Bernoulli, Daniel
,
Hydrodynamica, sive De viribus et motibus fluidorum commentarii
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SECTIO NONA.
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nempe duplus ab utraque parte. </
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<
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xml:space
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">Finge pondus P deſcenſu ſuo aquam per ori-
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ficium F ejicere ad altitudinem F G: </
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<
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tum puta orificium F, & </
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<
s
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xml:space
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">vides ad eandem altitudinem F G eodemque tem-
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pore duplam aquæ quantitatem ejectum iri ab eadem potentia movente P, ſed
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ea duplo celerius deſcendente. </
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<
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xml:space
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">Pariter quantitas aquæ manentibus reliquis
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duplicabitur, ſi & </
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<
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<
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<
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<
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vent. </
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<
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xml:space
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">P duplices, tunc vero velocitas hujus potentiæ duplicatæ invariata ma-
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net. </
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<
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<
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<
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<
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">Propoſitio præcedens non ſenſu phyſiologico ſed morali eſt in-
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terpretanda: </
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<
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">moraliter neque plus neque minus æſtimo laborem hominis, qui
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eadem celeritate conatum duplum exercet, quam ejus qui eodem conatu ce-
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leritatem duplicat, quia nempe uterque eundem edit effectum, fieri tamen po-
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teſt, ut alterius labor, quamvis altero non minus robuſti, ſenſu phyſiologi-
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co ſit admodum major. </
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<
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<
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tium 200. </
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<
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tem. </
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<
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xml:space
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">Ex hoc conſequens eſt in omni machinarum genere diſpiciendum præ-
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ſertim eſſe, quomodo debeant eſſe conſtitutæ, ut pro eodem tempore minima
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hominum defatigatione productum ex conatu eorum in velocitatem omnium
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maximum ſit: </
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<
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">atque exinde patebit, quænam in ergatis longitudo vectibus
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ſit tribuenda, quantus in rotis ſeu tympanis calcatoriis radius ſit faciendus,
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quanta remis longitudo ſit concilianda, & </
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<
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<
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">Ratione uſus autem tympanorum calcatoriorum, quæ frequentiſſime
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adhibentur ut momentum noſtræ animadverſionis eo magis fiat perſpicuum,
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hoc experimentum intelligatur:</
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quam homo dato tempore aſcendere debeat: </
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horarum, quia talis laboribus diurnis terminus eſſe ſolet, dein fingamus plu-
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res vias, A C, A D &</
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<
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intelligimus eò celerius viatori progrediendum eſſe, quo viam ſelegerit mi-
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nus inclinatam, ut eodem tempore culmen montis A attingat, & </
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<
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aliquam fore veluti A C, ſuper quâ minima defatigatione iter abſolvet, </
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