Authors: Morio Kikuchi
Spherical orthogonal coordinate system agrees with plane orthogonal coordinate system in coordinates, length, and angle of an intersection. Using spherical orthogonal coordinate system, we can realize complex sphere to which complex number is indicated with no stereographic projection. By the coordinate transformation of the inversion which is characterized by swap of origin and point at infinity, three-dimensional orthogonal coordinates are transformed into new coordinates, namely three-dimensional spherical orthogonal coordinates, however coordinates and so forth are constant.
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