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In geometry, the Poncelet point of four given points is defined as follows:
Let A, B, C, and D be four points in the plane that do not form an orthocentric system and such that no three of them are collinear. The nine-point circles of triangles ABC, BCD, CDA, and DAB meet at one point, the Poncelet point of the points A, B, C, and D.
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