---
tag: 09XNAPTJQ7
kind: concept
name: Affine space
msc: [51N10]
sources:
  - url: https://en.wikipedia.org/wiki/Affine_space
    locator: Informal description
same_as:
  wikidata: Q382698
  wikipedia: Affine space
---

## Summary

An affine space is a set of points on which the vectors of a vector space act by translation. It keeps the ideas of lines, planes and parallelism from Euclidean geometry, but it has no origin, no distance and no angle.