Mathematical and Physical Papers, Volume 2University Press, 1883 - Hydrodynamics |
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Page 18
... represent the vibrations produced at the focus by the two streams respectively , which gives for the intensity I , I = ( h + k cos p ) 2 + ( k sin p ) 2 = h2 + k2 + 2hk cos p ... ( 1 ) , which varies between the limits ( h - k ) and ( h ...
... represent the vibrations produced at the focus by the two streams respectively , which gives for the intensity I , I = ( h + k cos p ) 2 + ( k sin p ) 2 = h2 + k2 + 2hk cos p ... ( 1 ) , which varies between the limits ( h - k ) and ( h ...
Page 26
... represent the disturbance at M due to the element dxdy of the aperture at P , P being supposed to be situated in the unretarded stream , which will be supposed to lie at the negative side of the axis of x . In the expression ( a ) , it ...
... represent the disturbance at M due to the element dxdy of the aperture at P , P being supposed to be situated in the unretarded stream , which will be supposed to lie at the negative side of the axis of x . In the expression ( a ) , it ...
Page 27
... represented by Aß .. Let the former origin O be referred to a new origin O ' situated in the plane xy , and in the ... represent an element of the luminous line considered in the present , we must replace c2 by Adẞ or Aƒ ̃1dŋ ; and in ...
... represented by Aß .. Let the former origin O be referred to a new origin O ' situated in the plane xy , and in the ... represent an element of the luminous line considered in the present , we must replace c2 by Adẞ or Aƒ ̃1dŋ ; and in ...
Page 52
... representing a particular possible motion , and may employ the result , so long as no step tacitly assumed in the ... represent the values of w for t = 0 . The equation ( 1 ) merely asserts that whatever value the Fig . 1 . Fig . 2 ...
... representing a particular possible motion , and may employ the result , so long as no step tacitly assumed in the ... represent the values of w for t = 0 . The equation ( 1 ) merely asserts that whatever value the Fig . 1 . Fig . 2 ...
Page 60
... represent two possible systems of waves ; but the upper sign does not corre- spond to the problem , for the reason already mentioned , so that we must use the lower sign . At the same time that n ' becomes v√ ( -1 ) , let a , a , a ...
... represent two possible systems of waves ; but the upper sign does not corre- spond to the problem , for the reason already mentioned , so that we must use the lower sign . At the same time that n ' becomes v√ ( -1 ) , let a , a , a ...
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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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