Bernoulli, Daniel
,
Hydrodynamica, sive De viribus et motibus fluidorum commentarii
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SECTIO DECIMA TERTIA.
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videbitur quibusdam accuratus, habeo autem aliam demonſtrationem directam,
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quæ nova proprietate innititur Mechanica mihi aliquando obſervata, quam-
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que hic communicabo, tum quia dictam demonſtrationem facillime quivis in-
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de deducere, tum etiam quia ad alios uſus eandem impendere poterit: </
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<
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xml:space
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tem ſe habet.</
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<
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xml:space
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">Si cerpus movetur velocitate uniformi, directiones autem ſuas con-
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t
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inue mutat à cauſis quibuſcunque & </
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>
<
s
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xml:space
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">utcunque agentibus, donec directionem
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acquiſiverit perpendicularem ad primam directionem, ſique ſingulæ preßiones
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corpus deflectentes reſolvantur in duas claſſes, alteram parallelam primæ dire-
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ctioni, alteram perpendicularem; </
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>
<
s
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xml:space
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preserve
">Denique ſi preßiones ſingulæ parallelæ multi-
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plicantur per ſuatempora; </
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>
<
s
xml:id
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xml:space
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">dico fore ſummam productorum conſtanter eandem,
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& </
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<
s
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xml:space
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">quidem æqualem ei, quæ totum motum à quiete generare aut generatum
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totum abſorbere valet.</
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<
s
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">Hâc affectione Dynamica, cum utimur in præſenti noſtro negotio, con-
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ſideranda eſt lamina E F, quæ ſua in aquas reactione, earundem directionem
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mutat, uſque dum perpendicularis ad primam facta fuerit: </
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<
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xml:space
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">Ergo propoſitio
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præcedentis paragraphi ope hujus affectionis eodem modo demonſtrabitur,
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quo uſi ſumus §. </
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poſiti. </
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xml:space
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">Hæc igitur vera idea videtur, quam de impetu aquarum mente conci-
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pere debemus: </
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<
s
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xml:space
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">ponit autem guttas aquæ ſingulas ſecundum directionem lami-
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næ ad latera reſilire, à quâ indole aquas non recedere ſemper obſervavi: </
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<
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tamen etiam guttulas aliquas ſed paucas retrorſum reſilire; </
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<
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xml:space
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">hæ autem majorem
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preſſionem producunt, quam quæ ad latera deflectuntur: </
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xml:space
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">Et eo ipſo inducor, ut
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firmiter credam, ſi vena aquea magno impetu oblique contra planum impin-
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gat, v. </
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">ſub angulo triginta graduum, preſſionem inde orituram pluſquam
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dimidiam ejus, quæ à vena eadem directe impingente oritur, cum ſecundum
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regulas ordinarias exactè dimidiam vim exerere deberet: </
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<
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xml:space
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">ratio ejus rei eſt, quod
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in impulſu obliquo plures particulæ reſilire poſſint, quam in directo, imo fe-
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re omnes, ſi magna fuerit velocitas.</
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<
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xml:space
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">Si autem omnes ita reſilire ponantur, ut angulus incidentiæ angulo
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reflexionis æqualis ſit, tunc uterque impulſus idem cenſendus erit. </
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hic aquarum preſſiones æſtimandi modus eſt, qui ratiocinio à poſteriori inni-
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titur.</
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