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If each of two curves meets the Line at Infinity in distinct, nonsingular points, and if all their intersections are finite, then if to each common point there is attached a weight equal to the number of intersections absorbed therein, the Center of Mass of these points is the center of gravity of the intersections of the asymptotes.
References
Coolidge, J. L. A Treatise on Algebraic Plane Curves. New York: Dover, p. 166, 1959.