IMO Shortlist 1971 problem 4
Dodao/la: arhiva2. travnja 2012.
We are given two mutually tangent circles in the plane, with radii
. A line intersects these circles in four points, determining three segments of equal length. Find this length as a function of
and the condition for the solvability of the problem.
Izvor: Međunarodna matematička olimpijada, shortlist 1971