---
tag: 0KJH6SRFZK
kind: concept
name: Affine combination
aliases: [barycentre-of-weighted-points]
msc: [51N10]
sources:
  - url: https://en.wikipedia.org/wiki/Affine_combination
    locator: lead section
same_as:
  wikidata: Q938614
  wikipedia: Affine combination
---

## Summary

An affine combination of points is a weighted sum of the points whose weights add up to 1. It makes sense in an [[affine space|09XNAPTJQ7]], where a sum of points with arbitrary weights does not.