---
tag: 0V7090SSPC
kind: concept
name: Regular curve
aliases: [regular-parametrised-curve]
msc: [53A04]
uses: [0G7WM8DX4P, 0ZCZK72B45]
sources:
  - url: https://en.wikipedia.org/wiki/Differentiable_curve
    locator: Definitions
---

## Summary

A regular curve is a continuously differentiable [[parametrised curve|0G7WM8DX4P]] whose [[tangent vector|0ZCZK72B45]] is never zero.
At each point a regular curve has a well-defined tangent line, and it can be reparametrised by arc length.