Home > Affine Geometry, Geometry > Isometry of an affine space

Isometry of an affine space


Let \phi :\mathcal{E} \to \mathcal{E} be a mapping defined on a Euclidean affine space. Assume that \phi preserves the distances: d(\phi(A),\phi(B))=d(A,B). Prove that \phi is affine.

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