On the Optimality of Napoleon Triangles

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On the Optimality of Napoleon Triangles

An elementary geometric construction, known as Napoleon’s theorem, produces an equilateral triangle, obtained from equilateral triangles erected on the sides of any initial triangle: The centers of the three equilateral triangles erected on the sides of the arbitrarily given original triangle, all outward or all inward, are the vertices of the new equilateral triangle. In this note, we observe ...

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ژورنال

عنوان ژورنال: Journal of Optimization Theory and Applications

سال: 2016

ISSN: 0022-3239,1573-2878

DOI: 10.1007/s10957-016-0911-4