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# Chasles' theorem

In algebraic geometry, Chasles' theorem says that if two pencils of curves have no curves in common, then the intersections of those curves form another pencil of curves the degree of which can be calculated from the degrees of the initial two pencils.[1]

The results is attributed to Michel Chasles (1793–1880).

References

Coolidge, J. L. A Treatise on Algebraic Plane Curves. New York: Dover, p. 33, 1959.

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