Point O is the intersection between the straight line and a line tangent to all 3 circles.

The problem is to construct 2 more circles, such that the first touches the
circles centered on A and B,
and the second touches those centered on B and C,
and the 2 new circles also touch each other.

The center line of the 2 new circles should also pass through point O.

Each circle should touch others externally.
Hint
Details