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 Curve## Explore 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 Curves## Cite this as:

Weisstein, Eric W. "Family of Curves."
From *MathWorld*--A Wolfram Web Resource. https://mathworld.wolfram.com/FamilyofCurves.html