---
tag: 033H8MQRC3
kind: concept
name: Nine-point circle
aliases: [feuerbach-circle, euler-circle]
msc: [51M04]
sources:
  - url: https://en.wikipedia.org/wiki/Nine-point_circle
    locator: lead section
same_as:
  wikidata: Q214533
  wikipedia: Nine-point circle
---

## Summary

The nine-point circle of a triangle is the circle through the midpoints of its three sides. It also passes through the three feet of the altitudes and through the midpoints of the segments from the vertices to the orthocentre.