---
tag: 0G7WM8DX4P
kind: concept
name: Parametrised curve
aliases: [parametric-curve, path-in-rn]
msc: [53A04]
uses: [018GTRS7A4, 0XPR1E85W0]
sources:
  - url: https://en.wikipedia.org/wiki/Parametric_equation
    locator: lead section
  - url: https://en.wikipedia.org/wiki/Differentiable_curve
    locator: Definitions
---

## Summary

A parametrised curve in $\mathbb{R}^n$ is a continuous [[vector-valued function|018GTRS7A4]] of one real variable, defined on an interval.
One can think of the parameter as time and of the curve as the trajectory of a moving point.