>>13684132I'm guessing looking at theorem 4.1 would explain it. I think it's the perpendicular from the circle to X, plus the arc of the circle from 1,0 to that line.
What he means by saying it's well defined is that it's didn't matter which direction you go around three circle, since they integral over the circle is 0, so going in the clockwise or anticlockwise gives the same contribution.