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arXiv · 2007.00448

A New Equilateral Triangle?

Martin Buysse
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Abstract

In any triangle, the perpendicular side bisectors meet the corresponding internal angle bisectors on the circumcircle. If we take those three points as the vertices of a new triangle and repeat the operation indefinitly, we end up in the limit with a par of equilateral triangles whose sides are parallel to the sides of the Morley triangle of the initial triangle.

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Martin Buysse. 2020-06-29. A New Equilateral Triangle?. https://arxiv.org/abs/2007.00448

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