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- Q4300759 subject Q6181442.
- Q4300759 subject Q7413945.
- Q4300759 subject Q9737506.
- Q4300759 abstract "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.Motions can be divided into direct and indirect motions.Direct, proper or rigid motions are motions like translations and rotations that preserve the orientation of a ciral shape.Indirect, or inproper motions are motions like reflections, glide reflections and Improper rotations that invert the orientation of a ciral shape.Some geometers define motion in such a way that only direct motions are motions.".
- Q4300759 thumbnail Glide_reflection.svg?width=300.
- Q4300759 wikiPageExternalLink index.php?title=Group_of_motions&oldid=16960.
- Q4300759 wikiPageExternalLink index.php?title=Motion&oldid=18181.
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- Q4300759 comment "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.".
- Q4300759 label "Motion (geometry)".
- Q4300759 depiction Glide_reflection.svg.