IMO 1979 Problem 3
- Day 1
Two circles in a plane intersect. is one of the points of intersection. Starting simultaneously from two points move with constant speed, each travelling along its own circle in the same sense. The two points return to simultaneously after one revolution. Prove that there is a fixed point in the plane such that the two points are always equidistant from
Dataset text AI-MO AoPS. Quoted with source.
Official text: IMO 1979 official English paper, page 1.
Solutions
No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.