# Category:Euclidean Space

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This category contains results about **Euclidean Space**.

Definitions specific to this category can be found in Definitions/Euclidean Space.

Let $S$ be one of the standard number fields $\Q$, $\R$, $\C$.

Let $S^n$ be a cartesian space for $n \in \N_{\ge 1}$.

Let $d: S^n \times S^n \to \R$ be the usual (Euclidean) metric on $S^n$.

Then $\tuple {S^n, d}$ is a **Euclidean space**.

## Subcategories

This category has the following 9 subcategories, out of 9 total.

### H

- Heine-Borel Theorem (9 P)

### R

## Pages in category "Euclidean Space"

The following 19 pages are in this category, out of 19 total.