The Jacobian of a linear net of curves of order 
is a curve of order 
. 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.
Jacobian Curve
See also
Cayleyian Curve, Hessian Covariant, Steinerian CurveExplore with Wolfram|Alpha
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 Web Resource. https://mathworld.wolfram.com/JacobianCurve.html