Point And Two Intersecting Circles

Steps

0. Given are circles c and d that intersect each other, and a point A.
1. Construct circle e with the center A so that both given circles lie inside the constructed circle and do not intersect it.
2. Use circle e as the axis of a circle inversion. Circles c' and d' are created.
3. Construct lines g and f that are tangents of circles c' and d'.
4. Use circle e as the axis of a circle inversion again. By that, circles k₁ and k₂ are created.
5. Solutions are circles k₁ and k₂.