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