The circle ω0 touches the line at point A. Let R be a given positive number. We consider various circles ω of radius R that touch a line ℓ and have two different points in common with the circle ω0. Let D be the touchpoint of the circle ω0 with the line ℓ, and the points of intersection of the circles ω and ω0 are denoted by B and C (Assume that the distance from point B to the line ℓ is greater than the distance from point C to this line). Find the locus of the centers of the circumscribed circles of all such triangles ABD. geometryLocusCircumcenterfixedUkrainian TYM