# Definition:Tangent Space (Affine Geometry)

(Redirected from Definition:Difference Space)

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*This page is about Tangent Space in the context of Affine Space. For other uses, see Tangent Space.*

## Definition

Let $\tuple {\EE, +, -}$ be an affine space.

Let $V$ be the vector space that is the codomain of $-$.

Then $V$ is the **tangent space** of $\EE$.

## Notation

It is common to write $V = \vec \EE$.

## Also known as

The **tangent space** is also apparently known as the **difference space**.