Points, whose pedal triangles are similar to the given triangle
History and Overview
2012-10-11 v1
Abstract
We study the eleven points in the plane of a given triangle, whose pedal triangles are similar to the given one. We prove that the six points whose pedal triangles are positively oriented, lie on a single circle, while the five points, whose pedal triangles are negatively oriented, lie on a common straight line.
Keywords
Cite
@article{arxiv.1210.2929,
title = {Points, whose pedal triangles are similar to the given triangle},
author = {Georgi Ganchev and Gyulbeyaz Ahmed and Marinella Petkova},
journal= {arXiv preprint arXiv:1210.2929},
year = {2012}
}
Comments
9 pages, 6 figures