euler circles tangent to a fixed circle
Source: Sharygin 2006 finals 9.2
September 12, 2019
Euler CircleNine Point Circlegeometryfixedcircle
Problem Statement
Given a circle, point on it and point inside it. We consider the chords passing through . Prove that the circles passing through the midpoints of the sides of all the triangles are tangent to a fixed circle.