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    Limiting Point

    Definition

    A point about which inversion of two circles produced concentric circles. Every pair of distinct circles has two limiting points. The limiting points correspond to the point circles of a coaxal system, and the limiting points of a coaxal system are inverse points with respect to any circle of the system. To find the limiting point of two circles of radii r and R with centers separated by a distance d, set up a coordinate system centered on the circle of radius R and with the other circle centered at (d, 0).