# nLab Euclidean geometry

## Theorems

#### Differential geometry

differential geometry

synthetic differential geometry

# Contents

## Idea

Euclidean geometry studies the geometry of Euclidean spaces. These spaces come equipped with a canonical Riemannian metric, and Euclidean geometry can be regarded as the local model for Riemannian geometry, in some sense.

## Properties

Revised on August 13, 2014 09:40:25 by Urs Schreiber (146.96.130.201)