Two tangent circles with the same radius, one of them with center A and the other through B and C

1) Let Ll be the far-out point of ABC.
2) Let A' be the reflection of A on the centroid G.
3) Draw the circle through G and Ll centered at the parallel from A' to BC.
4) This circle cuts the perpendicular bisector of BC at D; D is the center of the second circle.