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In geometry, a cusp is a point at which two branches of a curve meet such that the tangents of each branch are equal. The above plot shows the semicubical parabola curve , which has a cusp at the origin.

In number theory, the term cusp also refers to an automorphic form cusp, as in the definition of a cusp form.

See also

Crunode, Double Point, Ordinary Double Point, Ramphoid Cusp, Salient Point, Semicubical Parabola, Spinode, Tacnode

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References

Walker, R. J. Algebraic Curves. New York: Springer-Verlag, pp. 57-58, 1978.

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Cusp

Cite this as:

Weisstein, Eric W. "Cusp." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/Cusp.html

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