Abel's Curve Theorem

The sum of the values of an integral of the "first" or "second" sort




from a fixed point to the points of intersection with a curve depending rationally upon any number of parameters is a rational function of those parameters.

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Coolidge, J. L. A Treatise on Algebraic Plane Curves. New York: Dover, p. 277, 1959.

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Abel's Curve Theorem

Cite this as:

Weisstein, Eric W. "Abel's Curve Theorem." From MathWorld--A Wolfram Web Resource.

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