Mathematical and Physical Papers, Volume 1University Press, 1880 - Hydrodynamics |
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... infinite series , and of the values of integrals taken between infinite limits SECTION IV . - Examples of the application of the formulæ proved in the preceding sections 279 • 286 Supplement to a paper on the Theory of Oscillatory Waves ...
... infinite series , and of the values of integrals taken between infinite limits SECTION IV . - Examples of the application of the formulæ proved in the preceding sections 279 • 286 Supplement to a paper on the Theory of Oscillatory Waves ...
Page 2
... infinite distance might not be indefinitely small . But experiment shews that this is not the case , but that the fluid flows in from all sides . Consequently at an indefinite dis- tance the velocity is indefinitely small , and it seems ...
... infinite distance might not be indefinitely small . But experiment shews that this is not the case , but that the fluid flows in from all sides . Consequently at an indefinite dis- tance the velocity is indefinitely small , and it seems ...
Page 11
... infinite number of infinitely small tubes . In the case of closed curves however , in whatever manner the fluid may have been put in motion , it seems probable that , if we neglect the friction against the sides of the vessel , the ...
... infinite number of infinitely small tubes . In the case of closed curves however , in whatever manner the fluid may have been put in motion , it seems probable that , if we neglect the friction against the sides of the vessel , the ...
Page 17
... infinite , when we suppose the dimensions of the element indefi- nitely diminished . In Hydrostatics , the accurate agreement of the results of our calculations with experiments , ( those phenomena which depend on capillary attraction ...
... infinite , when we suppose the dimensions of the element indefi- nitely diminished . In Hydrostatics , the accurate agreement of the results of our calculations with experiments , ( those phenomena which depend on capillary attraction ...
Page 19
... infinite series , which converge with great rapidity . I have also in Art . 11 , given some cases of progressive motion , deduced on the supposition that the same particles of fluid remain in contact with the solid , which do not at all ...
... infinite series , which converge with great rapidity . I have also in Art . 11 , given some cases of progressive motion , deduced on the supposition that the same particles of fluid remain in contact with the solid , which do not at all ...
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Common terms and phrases
according angle apply approximation arbitrary axes axis become infinite Cambridge Philosophical Society canal centre co-ordinates condition Consequently considered constant convergent series corresponding cosines cylinder Demy Octavo denote depth determined direction discontinuous divergent series dx dy elastic equal equation essentially convergent ether exact differential expansion expression finite force formula friction function given h vanishes Hence homogeneous function horizontal increases inertia integral length limit molecules moment of inertia observed obtained Octavo order of approximation oscillation oscillatory waves paper parallel parallelepiped particles perpendicular plane Poisson positive pressure quantities ratio rectangular refracting respect result satisfied shew shewn sines solid solitary wave sphere St John's College suppose surface tangential theorem theory tion variables velocity of propagation wave motion whence zero ηπα аф
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