Mathematical Papers of the Late George GreenMacmillan, 1871 - 336 من الصفحات |
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الصفحة ix
... waves the wave - velocity depends on the direction of the disturbance only , and is in- dependent of the position of the wave's front . The The paper concludes by taking the case of a perfectly general medium , and it is shewn that ...
... waves the wave - velocity depends on the direction of the disturbance only , and is in- dependent of the position of the wave's front . The The paper concludes by taking the case of a perfectly general medium , and it is shewn that ...
الصفحة 235
... front of the wave with ( yz ) , the axis of x being supposed vertical for instance , and directed downwards ; then , if A and A , are the densities of the two media under the constant pressure Pand 8 , 8 , the condensations , we must ...
... front of the wave with ( yz ) , the axis of x being supposed vertical for instance , and directed downwards ; then , if A and A , are the densities of the two media under the constant pressure Pand 8 , 8 , the condensations , we must ...
الصفحة 237
... front of the incident plane wave , is the same at the same instant , we shall have for the incident wave $ = f ( ax + by + ct ) , retaining b and c unaltered , we may give to the fronts of the reflected and refracted waves , any ...
... front of the incident plane wave , is the same at the same instant , we shall have for the incident wave $ = f ( ax + by + ct ) , retaining b and c unaltered , we may give to the fronts of the reflected and refracted waves , any ...
الصفحة 257
... front of a wave , w and w , will be independent of z , and thus the three general equations ( 4 ) will all be satisfied if d2w P dť B or by making = y2 , ρ d2w = ( d2w d2w \ B dx2 + dy3 ' · ( 7 ) . dt2 = 22 ( d2w d2w ) dros + dro } ...
... front of a wave , w and w , will be independent of z , and thus the three general equations ( 4 ) will all be satisfied if d2w P dť B or by making = y2 , ρ d2w = ( d2w d2w \ B dx2 + dy3 ' · ( 7 ) . dt2 = 22 ( d2w d2w ) dros + dro } ...
الصفحة 261
... wave , in which the vibrations are transverse , and another pair of accom- panying reflected and refracted waves , in ... front of a wave is the same , u and v are independent of z . Hence , the general equations ( 4 ) for the first ...
... wave , in which the vibrations are transverse , and another pair of accom- panying reflected and refracted waves , in ... front of a wave is the same , u and v are independent of z . Hence , the general equations ( 4 ) for the first ...
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