Power of A Point - Darboux Product

Darboux Product

The power of a point is a special case of the Darboux product between two circles, which is given by

where A1 and A2 are the centers of the two circles and r1 and r2 are their radii. The power of a point arises in the special case that one of the radii is zero. If the two circles intersect, then their Darboux product is

where φ is the angle of intersection.

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