In the plane there are given the lines ℓ1, ℓ2, the circle C with its center on the line ℓ1 and a second circle C1 which is tangent to ℓ1, ℓ2 and C. Find the locus of the tangent point between C and C1 while the center of C is variable on ℓ1.
Mircea Becheanu geometry proposedgeometry