A New Equilateral Triangle?
General Mathematics
2020-07-02 v1
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.
Keywords
Cite
@article{arxiv.2007.00448,
title = {A New Equilateral Triangle?},
author = {Martin Buysse},
journal= {arXiv preprint arXiv:2007.00448},
year = {2020}
}
Comments
2 pages, 8 figures