circumcenter constrcuction using at most 5 circles, given more circle
Source: III Soros Olympiad 1996-97 R2 10.5 https://artofproblemsolving.com/community/c2416727_soros_olympiad_in_mathematics
May 31, 2024
geometryconstructioncircles
Problem Statement
A circle is drawn on a plane, the center of which is not indicated. On this circle, point is marked and a second circle with center at is constructed. The second circle has a radius greater than the radius of the first and intersects the first at two points. Construct the center of the first circle using only a compass, drawing no more than five more circles.