IMO Shortlist 2000 problem G1
Dodao/la: arhiva2. travnja 2012.
In the plane we are given two circles intersecting at
. Prove that there exist four points with the following property:
(P) For every circle touching the two given circles at
, and meeting the line
, each of the lines
passes through one of these points.
Izvor: Međunarodna matematička olimpijada, shortlist 2000