Mathematical and Physical Papers, Volume 2University Press, 1883 - Hydrodynamics |
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Page 7
... result obtained by substi- tuting in the general expression for the pressure the coordinates of the point P for x ... results obtained on substituting the coordinates of the point considered for the general coordinates in the general ...
... result obtained by substi- tuting in the general expression for the pressure the coordinates of the point P for x ... results obtained on substituting the coordinates of the point considered for the general coordinates in the general ...
Page 10
... result , which may be verified by differen- tiation . Let the centre of the sphere be taken for origin ; let the direc- tion of the real motion of the sphere make with the axes angles whose cosines are l , m , n , and let v be the real ...
... result , which may be verified by differen- tiation . Let the centre of the sphere be taken for origin ; let the direc- tion of the real motion of the sphere make with the axes angles whose cosines are l , m , n , and let v be the real ...
Page 21
... result will be strictly the number given by the formula ( 2 ) . The difference , however , between this result and that which would be obtained by keeping the plate fixed would be barely sensible . If the latter mode of observation ...
... result will be strictly the number given by the formula ( 2 ) . The difference , however , between this result and that which would be obtained by keeping the plate fixed would be barely sensible . If the latter mode of observation ...
Page 26
... result depends merely on the assumption that in the immediate neighbourhood of the normal the intensity may be re- garded as sensibly constant . In the expression ( a ) we have PM = √ / { z2 + ( x − p ) 2 + ( y − q ) ° } = √ / { ƒ2 ...
... result depends merely on the assumption that in the immediate neighbourhood of the normal the intensity may be re- garded as sensibly constant . In the expression ( a ) we have PM = √ / { z2 + ( x − p ) 2 + ( y − q ) ° } = √ / { ƒ2 ...
Page 31
... result already employed . This result would of course have been obtained more readily by differentiating with respect to h 14. The preceding investigation will apply , with a very trifling modification , to Sir David Brewster's ...
... result already employed . This result would of course have been obtained more readily by differentiating with respect to h 14. The preceding investigation will apply , with a very trifling modification , to Sir David Brewster's ...
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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 cos² 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 sin² 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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