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I just joined this forum and I desperately need the coordinates of a paraboloid in any orthogonal curvilinear coordinates. Like a sphere is easy to present in spherical coordinates and vice versa. In the same way, I will be very thankful if someone can relate any point on a paraboloid where the paraboloid rotates from the x-axis. So then what will be the coordinates of any point in spherical coordinates and its relation to cartesian coordinates on the surface of such paraboloid.

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# Homework Help: Parabolid equations

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