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In three dimensions there are two analogues of polar
coordinates. In cylindric coordinates, x and y are described
by r and In spherical coordinates, a general point
is described by two angles and one radial
variable, Exercises:3.12 Express the parameters of cylindric and spherical coordinates in terms of x, y and z. 3.13 Construct a spreadsheet converter which takes coordinates x, y and z and produces the three parameters of spherical coordinates; and vice versa. Verify that they work by substituting the result from one as input into the other. |
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