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Tacnode


Tacnode

A double point at which two (or more) osculating curves are tangent. The above plot shows the tacnode of the curve 2x^4-3x^2y+y^2-2y^3+y^4=0.

The capricornoid and links curve have tacnodes at their origins.


See also

Acnode, Capricornoid, Crunode, Double Point, Links Curve, Osculating Curves, Spinode

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References

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

Referenced on Wolfram|Alpha

Tacnode

Cite this as:

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

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