MathDB

10.3

Part of 2006 Sharygin Geometry Olympiad

Problems(1)

locus of intersection points of extarnal tangents of tangent circles

Source: Sharygin 2006 finals 10.3

9/29/2019
Given a circle and a point PP inside it, different from the center. We consider pairs of circles tangent to the given internally and to each other at point PP. Find the locus of the points of intersection of the common external tangents to these circles.
geometryLocustangent circlesTangents