Abstract
Napoleon's Theorem can be neatly proved using a tessellation of the plane. The theorem can be generalized by using three similar triangles (instead of the three equilateral triangles) erected in different ways on the three sides of the triangle. Various interesting special cases occur.
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Dedicated to H. S. M. Coxeter on the occasion of his 80th birthday.
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Rigby, J.F. Napoleon revisited. J Geom 33, 129–146 (1988). https://doi.org/10.1007/BF01230612
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DOI: https://doi.org/10.1007/BF01230612