MathDB
Poland 6

Source: IMO LongList 1959-1966 Problem 36

September 2, 2004
geometrycomplex numberscyclic quadrilateralIMO ShortlistIMO Longlist

Problem Statement

Let ABCDABCD be a quadrilateral inscribed in a circle. Show that the centroids of triangles ABC,ABC, CDA,CDA, BCD,BCD, DABDAB lie on one circle.
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