Barton, Edwin H. (Edwin Henry), b. 1858 · London, Macmillan and Co., limited · leaf 239
of co-ordinates is illustratedin Fig. 48 and expressed in the following equations, the 220 SOUND CHAP. IV co-ordinates of P in cartesians being (x, y, z), and in polars(r, 6, </>) :— x = r sin 0 cos </>, y = r sin 0 sin <f>, z = r cos 0 (14). With this transformation of the… … Fig. 48.—Solid Polar Co-ordinates. Now suppose we have spherical symmetry about thecentre of the system at the origin of co-ordinates. Thatis, all the successive wave fronts are concentric spheres,where common centre is the origin, and s will be a functionof r only and independent of 0 and cf>.…
Sound
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