# Definition:Length of Curve

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## Definition

The **length** of a curve is defined as the limit of the length of a polygonal line inscribed within the curve as the maximum length of the chords which form that polygonal line tends to zero.

## Sources

- 1963: I.M. Gelfand and S.V. Fomin:
*Calculus of Variations*: $1.1$: Functionals. Some Simple Variational Problems