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Bertini's Theorem

The general curve of a system which is Linearly Independent 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.


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

© 1996-9 Eric W. Weisstein