Linked from

The 52 pages that link to Euclidean space, each with the reason it gives.

• Convex setRelated: Euclidean geometry supplies familiar examples and visual tests of convexity.

• Cauchy–Schwarz inequalityRelated: The familiar dot-product version is the inequality's basic geometric setting.

• DistanceRelated: Its familiar distance rule measures straight-line separation between coordinate points.

• IsometryRelated: Its distance-preserving maps connect the abstract definition to familiar geometry.

• LaplacianRelated: The familiar sum-of-second-derivatives formula assumes a flat Euclidean setting.

• Affine spaceRelated: Its underlying geometry can be treated as affine after omitting the origin.

• Galilean transformationRelated: Spatial rotations and translations act on the three-dimensional coordinates.

• Coordinate chartRelated: A chart maps manifold points into this familiar coordinate space.

• Basis (topology)Related: Open balls in Euclidean space provide a canonical basis.

• Random vectorRelated: It is a common value space for finite-dimensional random vectors.

• 3-manifoldRelated: Three-dimensional Euclidean space supplies the local model for every point.

• 3-sphereRelated: Its standard equation measures distance from the 3-sphere’s center.

• Dvoretzky's theoremRelated: The theorem identifies large subspaces whose geometry approximates this familiar model.