A nodal cubic is a cubic curve defined by an irreducible polynomial and having an ordinary double
point . For example, the plane curve
has a crunode at the origin , with distinct tangent lines cuspidal cubic , such as the
semicubical parabola
whose singular point is a cusp (Faber and Hauser 2010, pp. 374-375). Nodal cubic sections occur in the kolibri
surface , where they degenerate to a semicubical
parabola at the origin .
See also Crunode ,
Cubic Curve ,
Cuspidal Cubic ,
Ordinary
Double Point ,
Semicubical Parabola
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References Faber, E. and Hauser, H. "Today's Menu: Geometry and Resolution of Singular Algebraic Surfaces." Bull. Amer. Math. Soc. 47 ,
373-417, 2010. https://doi.org/10.1090/S0273-0979-10-01295-4 . Referenced
on Wolfram|Alpha Nodal Cubic
Cite this as:
Weisstein, Eric W. "Nodal Cubic." From
MathWorld https://mathworld.wolfram.com/NodalCubic.html
Subject classifications
.
It is distinct from a cuspidal cubic, such as the
semicubical parabola
