Mathematical and Physical Papers, Volume 1University Press, 1880 - Hydrodynamics |
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Page viii
... sides of it shall be regarded as welded into one . Thus sin nπx / α means sin ( næ ÷ a ) , and not ( sin nπx ) ÷ a . This welding action may be arrested when necessary by a stop : thus sin nə . / r " means ( sin n0 ) ÷ r " and not sin ...
... sides of it shall be regarded as welded into one . Thus sin nπx / α means sin ( næ ÷ a ) , and not ( sin nπx ) ÷ a . This welding action may be arrested when necessary by a stop : thus sin nə . / r " means ( sin n0 ) ÷ r " and not sin ...
Page 2
... sides . Consequently at an indefinite dis- tance the velocity is indefinitely small , and it seems evident that in that case the pressure must be indefinitely near to what it would be if there were no motion . Differentiating therefore ...
... sides . Consequently at an indefinite dis- tance the velocity is indefinitely small , and it seems evident that in that case the pressure must be indefinitely near to what it would be if there were no motion . Differentiating therefore ...
Page 8
... sides of an equilateral triangle , and the vessel may therefore be supposed to be an equi- lateral triangular prism . The various lines of motion correspond to values of the parameter C from 0 to - wa2 . This case is given by Mr Thomson ...
... sides of an equilateral triangle , and the vessel may therefore be supposed to be an equi- lateral triangular prism . The various lines of motion correspond to values of the parameter C from 0 to - wa2 . This case is given by Mr Thomson ...
Page 11
... sides of the vessel , the fluid will have a tendency to settle down into some steady mode of motion . Consequently , taking account of the friction against the sides of the vessel , it seems probable that the motion may ON THE STEADY ...
... sides of the vessel , the fluid will have a tendency to settle down into some steady mode of motion . Consequently , taking account of the friction against the sides of the vessel , it seems probable that the motion may ON THE STEADY ...
Page 18
... sides of the vessel . But if the fluidity of water were perfect , it does not appear how the retardation due to this friction could be transmitted through the mass . It would appear that in that case a thin film of fluid close to the sides ...
... sides of the vessel . But if the fluidity of water were perfect , it does not appear how the retardation due to this friction could be transmitted through the mass . It would appear that in that case a thin film of fluid close to the sides ...
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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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