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arXiv · 2311.01549

A Triad of Circles Associated with a Triangle

Ercole Suppa·Stanley Rabinowitz
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Abstract

We study some properties of a triad of circles associated with a triangle. Each circle is inside the triangle, tangent to two sides of the triangle, and externally tangent to the circle on the third side as diameter. In particular, we find a nice relation involving the radii of the inner and outer Apollonius circles of the three circles in the triad.

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Ercole Suppa, Stanley Rabinowitz. 2023-11-02. A Triad of Circles Associated with a Triangle. https://arxiv.org/abs/2311.01549

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