Jacobian Curve
The Jacobian of a linear net of curves of order n is a curve of order 3(n-1). It passes through all points common to all curves of the net. It is the locus of points where the curves of the net touch one another and of singular points of the curve.
See also
Cayleyian Curve, Hessian Covariant, Steinerian CurveExplore with Wolfram|Alpha
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References
Coolidge, J. L. A Treatise on Algebraic Plane Curves. New York: Dover, p. 149, 1959.Referenced on Wolfram|Alpha
Jacobian CurveCite this as:
Weisstein, Eric W. "Jacobian Curve." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/JacobianCurve.html