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Zeuthen's Rule

On an Algebraic Curve, the sum of the number of coincidences at a noncuspidal point $C$ is the sum of the orders of the infinitesimal distances from a nearby point $P$ to the corresponding points when the distance $PC$ is taken as the principal infinitesimal.


Coolidge, J. L. A Treatise on Algebraic Plane Curves. New York: Dover, p. 131, 1959.

© 1996-9 Eric W. Weisstein