Geometry Affine geometry Concept
Affine map
Summary
An affine map is a map between affine spaces that is a linear map followed by a translation. It sends lines to lines or points, and it keeps parallel lines parallel and ratios of lengths along a line.
Where this leads
8 pages build on this one.
Further reading
- Web https://en.wikipedia.org/wiki/Affine_transformation, lead section
About this page
| Tag | 0JF0TVYGWT |
|---|---|
| URI | m2://0JF0TVYGWT |
| Aliases | affine-transformation |
| Kind | concept |
| Writing | W1 stated |
| MSC | 51N10 |
| Same as |
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What this page needs for W2
- edge instance_of in: at least two examples (0 of 2)
- edge not_instance_of in: at least one non-example (0 of 1)
The writing levels say how complete the text of a page is. They do not measure its truth.
What links here
Special cases
Used by
- Euclidean isometry
- Homothety
- Mazur–Ulam theorem
- Ryll-Nardzewski fixed-point theorem
- Affine group
- Fundamental theorem of affine geometry
- Bieberbach theorems