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Linearly Dependent Curves

Two curves $\phi$ and $\psi$ satisfying


are said to be linearly dependent. Similarly, $n$ curves $\phi_i$, $i=1$, ..., $n$ are said to be linearly dependent if

\sum_{i=1}^n \phi_i=0.

See also Bertini's Theorem, Study's Theorem


Coolidge, J. L. A Treatise on Algebraic Plane Curves. New York: Dover, pp. 32-34, 1959.

© 1996-9 Eric W. Weisstein