Mathematical and Physical Papers, Volume 2University Press, 1883 - Hydrodynamics |
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Page 5
... obtain any new equation . The surface S may be either finite or infinitesimal , as , for example , the surface of the ... obtained three new independent equations . If the fluid considered be homogeneous and incompressible , p is a ...
... obtain any new equation . The surface S may be either finite or infinitesimal , as , for example , the surface of the ... obtained three new independent equations . If the fluid considered be homogeneous and incompressible , p is a ...
Page 6
... obtained from our equations by differentiation , integration , & c . are sensibly correct , so far as this cause of error is concerned ; and that is all that we can ever attain to in the mathematical expression of physical laws . The ...
... obtained from our equations by differentiation , integration , & c . are sensibly correct , so far as this cause of error is concerned ; and that is all that we can ever attain to in the mathematical expression of physical laws . The ...
Page 7
... obtained by substi- tuting in the general expression for the pressure the coordinates of the point P for x , y , z . It should be observed that , in proving this equation , the forces on which capillary phenomena depend have not been ...
... obtained by substi- tuting in the general expression for the pressure the coordinates of the point P for x , y , z . It should be observed that , in proving this equation , the forces on which capillary phenomena depend have not been ...
Page 9
... obtained from the common equations , were stable , the motion which would be obtained from equations ( 1 ) would approach indefinitely , as μ vanished , to one for which udx + ... was an exact differential , and therefore , for anything ...
... obtained from the common equations , were stable , the motion which would be obtained from equations ( 1 ) would approach indefinitely , as μ vanished , to one for which udx + ... was an exact differential , and therefore , for anything ...
Page 10
... obtaining the solution : but this is not necessary ; for it will probably be allowed that there is but one solution of the ... obtained by supposing uda + ... an exact differential , and applying to the ether the common equations of ...
... obtaining the solution : but this is not necessary ; for it will probably be allowed that there is but one solution of the ... obtained by supposing uda + ... an exact differential , and applying to the ether the common equations of ...
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17 Paternoster Row angle of incidence aperture arbitrary constants astigmatic attraction axis bands bridge calculated centre Clairaut's Theorem coefficient College considered cosē Demy 8vo denote density determined direction displacement distance disturbance earth edition equal equation error exact differential experiments expression finite fluid force formula function given glass gravity grooved face Hence incident light integral intensity limits luminiferous ether mass medium motion nearly negative Newton's Rings observed obtained particle perpendicular plane of diffraction plane of incidence plane of polarization plate portion positive prism Professor quantity radius vector reflected refraction refractive index regard respect result sensible shew sinē spectrum St John's College suppose supposition surface of equilibrium T₁ theorem theory tion University of Cambridge vanishes velocity of propagation vertical vibrations vis viva zero
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