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Orthocentric System




In Geometry , an orthocentric system is a Set of four Points in the Plane one of which is the Orthocenter of the Triangle formed by the other three.

If four points form an orthocentric system, then ''each'' of the four points is the orthocenter of the other three. These four possible triangles will all have the same Nine-point Circle .

The centers of the Incircle and Excircle s of a triangle form an orthocentric system.