3 equal non intersecting circles (V Soros Olympiad 1998-99 Round 2 9.2)
Source:
May 25, 2024
geometry
Problem Statement
There are two equal non-intersecting circles on a plane. Two lines were drawn. Each of the lines intersects the circles at four points so that the three segments formed on each of the lines are equal (segments with ends at adjacent points of intersection are considered). For one line these segments have length , for the other they have length (). Find the radius of the circles.