Linked from

The 20 pages that link to Affine space, each with the reason it gives.

• Coordinate systemNarrower topic: Coordinate choices impose an origin on geometry that does not inherently select one.

• Vector spaceCompared with: An affine space has vector-like displacements but no canonical zero vector.

• Euclidean spaceNarrower topic: It supplies points and displacement vectors before a metric is added.

• Convex setNarrower topic: Its affine structure defines segments without requiring a chosen origin.

• Algebraic geometryRelated: Polynomial zero sets are first formed inside affine space.

• Affine transformationNarrower topic: Affine transformations act on these spaces without requiring a distinguished origin.

• Tangent spaceCompared with: A tangent space is a vector space attached at one point, not the manifold itself.

• Barycentric coordinatesNarrower topic: Barycentric coordinates depend on affine combinations rather than a chosen origin.

• Plane (geometry)Narrower topic: A plane can be treated as a two-dimensional affine space without choosing coordinates.

• Affine geometryRelated: It formalizes geometry without requiring a chosen zero point.

• Projective spaceCompared with: Projective space adds ideal points to affine space while preserving its finite points.

• Affine combinationRelated: Affine combinations of points are intrinsic to affine spaces and do not depend on a choice of origin.

• Rational pointRelated: In affine coordinates, a rational point is a coordinate tuple over the base field.

• Finite-dimensional vector spaceCompared with: Unlike a vector space, it does not identify its points directly with vectors.

• Affine subspaceNarrower topic: Affine subspaces are the flat subsets defined within this origin-free setting.

• Finite geometryNarrower topic: Finite affine spaces arise from vector spaces over finite fields.

• Ham sandwich theoremNarrower topic: Hyperplanes and their translations are naturally described in affine space.

• Euclidean vectorCompared with: A Euclidean vector is based at the origin; an affine point is not itself a vector.

• Jacobian conjectureNarrower topic: Polynomial maps in the conjecture act between affine spaces.

• Ax–Grothendieck theoremNarrower topic: It is the domain and codomain in the theorem.