Lemoine's problem
In geometry, Lemoine's problem is a straightedge and compass construction problem posed by French mathematician Émile Lemoine in 1868: Given one vertex of each of the equilateral triangles placed on the sides of a triangle, construct the original triangle. The problem was published as Question 864 in Nouvelles Annales de Mathématiques (Series 2, Volume 7 (1868), p 191).