A septic curve is a plane curve defined by a polynomial equation of total degree 7. In algebraic geometry, the degree is the sum of component degrees weighted by their multiplicities. Repeated factors change these multiplicities without changing the underlying set of points (Fulton 2008, p. 31).
Septic Curve
See also
Algebraic Curve, Octic Curve, Plane Curve, Polynomial Degree, Sextic CurveExplore with Wolfram|Alpha
References
Fulton, W. Algebraic Curves: An Introduction to Algebraic Geometry. Online edition, 2008. https://www.sas.rochester.edu/mth/sites/doug-ravenel/otherpapers/fulton-curves.pdf.Cite this as:
Weisstein, Eric W. "Septic Curve." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/SepticCurve.html