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Lemoine's problem : ウィキペディア英語版
Lemoine's problem
In mathematics, Lemoine's problem is a certain construction problem in elementary plane geometry posed by the French mathematician Émile Lemoine (1840–1912) in 1868. The problem was published as Question 864 in ''Nouvelles Annales de Mathématiques'' (Series 2, Volume 7 (1868), p 191). The chief interest in the problem is that a discussion of the solution of the problem by Ludwig Kiepert published in ''Nouvelles Annales de Mathématiques'' (series 2, Volume 8 (1869), pp 40–42) contained a description of a hyperbola which is now known as the Kiepert hyperbola.〔
==Statement of the problem==
The question published by Lemoine poses the following construction problem:
:''Given one vertex of each of the equilateral triangles placed on the sides of a triangle, construct the original triangle.''

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