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Given a nonequilateral triangle ABC, the vertices listed counterclockwise, find the locus of the centroids of the equilateral triangles A'B'C' (the vertices listed counterclockwise) for which the triples of points A,B', C'; A',B, C'; and A',B', C are collinear.

Proposed by Poland.

Slični zadaci

#NaslovOznakeRj.KvalitetaTežina
1703IMO Shortlist 1987 problem 190
1689IMO Shortlist 1987 problem 50
1388IMO Shortlist 1969 problem 581
1387IMO Shortlist 1969 problem 570
1340IMO Shortlist 1969 problem 100
1335IMO Shortlist 1969 problem 50