A set of curves whose equations are of the same form but which have different values assigned to one or more parameters in the equations. Families of curves arise, for example, in the solutions to differential equations with a free parameter (Harris and Stocker 1998, p. 649).
Family of Curves
See also
Curve, Family, Integral CurveExplore with Wolfram|Alpha
References
Harris, J. W. and Stocker, H. Handbook of Mathematics and Computational Science. New York: Springer-Verlag, 1998.Referenced on Wolfram|Alpha
Family of CurvesCite this as:
Weisstein, Eric W. "Family of Curves." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/FamilyofCurves.html