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Motion (geometry)
In geometry, a motion is an isometry of a metric space. For instance, a plane with  Euclidean distance as metric is a metric space in which a mapping associating congruent figures is a motion. More generally, the term motion is a synonym for surjective isometry in metric geometry, including elliptic geometry and hyperbolic geometry. In the latter case, hyperbolic motions provide an approach to the subject for beginners.

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