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About: Orthocentric system     Goto   Sponge   NotDistinct   Permalink

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Type: yago:PlaneFigure113863186yago:Polygon113866144yago:Quadrilateral113879126yago:Shape100027807yago:WikicatQuadrilateralsyago:Abstraction100002137yago:Attribute100024264yago:Figure113862780 New Facet based on Instances of this Class

In geometry, an orthocentric system is a set of four points on a 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. Consequently these four possible triangles must all have circumcircles with the same circumradius.