I can't find the solution to this problem.
One is given the circumscribed circle and the inscribed circle of a triangle, but not the triangle itself. One has to find this triangle, using only a ruler and a compas.
Any help would be welcome!
Note that it does not work to start from an arbitrary point on the circumscribed circle and to draw the 2 tangents to the inscribed circle that contain this point. Indeed, if B and C denote the other intersections of these 2 tangents with the circumscribed circle, the line BC is in general not tangent to the inscribed circle.