Geometry Affine geometry Concept
Affine space
Summary
An affine space is a set of points on which the vectors of a vector space act by translation. It keeps the ideas of lines, planes and parallelism from Euclidean geometry, but it has no origin, no distance and no angle.
Where this leads
16 pages build on this one.
Further reading
- Web https://en.wikipedia.org/wiki/Affine_space, Informal description
About this page
| Tag | 09XNAPTJQ7 |
|---|---|
| URI | m2://09XNAPTJQ7 |
| Kind | concept |
| Writing | W1 stated |
| MSC | 51N10 |
| Same as |
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What this page needs for W2
- edge not_instance_of in: at least one non-example (0 of 1)
- edge specializes both: the more general notions and the special cases (0 of 1)
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What links here
Used by
- Affine combination
- Collinear points
- Affine subspace
- Triangle
- Affine map
- Homothety
- Betweenness
- Affine group
- Barycentric coordinates
- Rational point
- Affine independence
- Coplanarity
- Fundamental theorem of affine geometry