Definition:Length of Curve

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It has been suggested that this page or section be merged into Definition:Arc Length. (Discuss)

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

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