Two Tangent Circles Of The Same Size, Point On The Circle

Steps

1. point A is chosen as the centre of a circle inversion, the radius of the circle is chosen to intersect both of the given circles, we construct circle k
2. we display circles k₁ and k₂ in a circle inversion, circle k_1' and line k_2' are created
3. in the point of tangency of k_1' and k_2' is located point C, we run circle o to line k_2' passing through point C
4. In the point of intersection of k_1', point C is found
5. we create a parallel line k_4' to line k₂ passing through point C
6. we display line k_4' in a circle inversion through circle k, the final circle is the solution of the problem