A Concurrency from a Point and a Triangle's Excenters
A Concurrency from a Point and a Triangle's Excenters
Let ABC be a triangle and P a point. Let A', B', and C' be the excenters opposite A, B, and C, respectively. Let PA', PB', and PC' intersect BC, AC, and AB at A'', B'', and C'', respectively. Then AA'', BB'', and CC'' are concurrent.