Arc length
Summary
The arc length of a curve is its length, measured along the curve. It is the supremum of the lengths of inscribed polygonal paths, and an integral of the speed for smooth curves. The node arc length gives the precise definition.
Where this leads
11 pages build on this one.
Further reading
- Web https://en.wikipedia.org/wiki/Arc_length, lead section
About this page
| Tag | 0TH78S7GBZ |
|---|---|
| URI | m2://0TH78S7GBZ |
| Kind | concept |
| Writing | W1 stated |
| MSC | 26A42, 53A04 |
| Same as |
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What this page needs for W2
- edge instance_of in: at least two examples (0 of 2)
- edge not_instance_of in: at least one non-example (0 of 1)
- edge specializes both: the more general notions and the special cases (0 of 1)
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What links here
Definitions
Used by
- Energy functional on paths
- Catenary problem
- Crofton formula
- Moser's worm problem
- Riemannian distance
- Birkhoff min-max method
- Barbier's theorem
- First and second variation of arc length