What does the word $ \ \text{affine} \ $ impose in mathematics?

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What does the word $ \ \text{affine} \ $ impose in mathematics?

I want to understand it.

Like- $\text{affine space, affine algebraic curve, affine plane}$ etc.

For example affine space is a generalisation of euclidean space with fixed origin and obtained by translation of a vector space $V$.

But still my question is-

What does the word $ \ \text{affine} \ $ impose in mathematics?

Can someone explain it please?