Bertini's Theorem

The general curve of a system which is linearly dependent on a certain number of given irreducible curves will not have a singular point which is not fixed for all the curves of the system.

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Coolidge, J. L. A Treatise on Algebraic Plane Curves. New York: Dover, p. 115, 1959.

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Bertini's Theorem

Cite this as:

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

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