Given two points A and B, if one rotates B around A through 60° to a point B’, then the triangle ABB’ is equilateral. A consequence of this result is the following property of the equilateral triangles, which was noticed by the Romanian mathematician D. Pompeiu in 1936. Pompeiu’s theorem is a simple fact, part of classical plane geometry. Surprisingly, it was discovered neither by Euler in the eighteenth century nor by Steinitz in the nineteenth.
KeywordsEquilateral Triangle Regular Polygon Polygonal Surface Radical Axis Regular Pentagon
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