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[[File:Test:Traslazione OK.svg|alt=translation graphic|thumb|<span style="color: rgb(32, 33, 34)">A translation moves every point of a figure or a space by the same amount in a given direction.</span>]] | [[File:Test:Traslazione OK.svg|alt=translation graphic|thumb|<span style="color: rgb(32, 33, 34)">A translation moves every point of a figure or a space by the same amount in a given direction.</span>]] | ||
{{Short description|Planar movement within a Euclidean space without rotation}} | {{Short description|Planar movement within a Euclidean space without rotation}} | ||
In [[Euclidean geometry]], a '''translation''' is a [[geometric transformation]] that moves every point of a figure, shape or space by the same [[Distance geometry|distance]] in a given direction. A translation can also be interpreted as the addition of a constant [[vector space|vector]] to every point, or as shifting the [[Origin (mathematics)|origin]] of the [[coordinate system]]. In a [[Euclidean space]], any translation is an [[isometry]]. | |||
==As a function== | |||
{{see also|Displacement (geometry)}} | |||
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Revision as of 08:58, 14 September 2022
Template:Short description In Euclidean geometry, a translation is a geometric transformation that moves every point of a figure, shape or space by the same distance in a given direction. A translation can also be interpreted as the addition of a constant vector to every point, or as shifting the origin of the coordinate system. In a Euclidean space, any translation is an isometry.
As a function
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