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 geometric centroid of these points is the center of gravity of the intersections of the asymptotes.
Waring's Theorem
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References
Coolidge, J. L. A Treatise on Algebraic Plane Curves. New York: Dover, p. 166, 1959.Referenced on Wolfram|Alpha
Waring's TheoremCite this as:
Weisstein, Eric W. "Waring's Theorem." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/WaringsTheorem.html