---
tag: 0HATW2VWAZ
kind: concept
name: Rectifiable curve
aliases: [curve-of-finite-length]
msc: [26A45]
uses: [0G7WM8DX4P]
sources:
  - url: https://en.wikipedia.org/wiki/Arc_length
    locator: Definition
---

## Summary

A [[parametrised curve|0G7WM8DX4P]] is rectifiable when the lengths of the polygonal paths inscribed in it are bounded.
The least upper bound of these lengths is the length of the curve.