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arXiv · 1210.2929

Points, whose pedal triangles are similar to the given triangle

Georgi Ganchev·Gyulbeyaz Ahmed·Marinella Petkova
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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.

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Georgi Ganchev, Gyulbeyaz Ahmed, Marinella Petkova. 2012-10-09. Points, whose pedal triangles are similar to the given triangle. https://arxiv.org/abs/1210.2929

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