Motion (geometry)

A glide reflection is a type of Euclidean motion.

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.

单词	Group of motions
释义	Group of motions 英语百科 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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Group of motions

Motion (geometry)