A Triad of Circles Associated with a Triangle
arXiv:2311.01549
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.
arXiv admin note: text overlap with arXiv:2310.12896