# isometry

## isometry

[ahy-som-i-tree]
noun
1.
equality of measure.
2.
Biology. equal growth rates in two parts of a developing organism.
3.
Geography. equality with respect to height above sea level.
4.
Mathematics. a function from one metric space onto a second metric space having the property that the distance between two points in the first space is equal to the distance between the image points in the second space.

Origin:
1940–45; < Greek isometría. See iso-, -metry

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Collins
World English Dictionary
 isometry (aɪˈsɒmɪtrɪ) —n 1. maths rigid motion of a plane or space such that the distance between any two points before and after this motion is unaltered 2. equality of height above sea level

Collins English Dictionary - Complete & Unabridged 10th Edition
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American Heritage
Science Dictionary
 isometry   (ī-sŏm'ĭ-trē)  Pronunciation Key  Equality of measure. Equality of elevation above sea level. A function between two metric spaces (such as two coordinate systems) which preserves distances. A rotation or translation in a plane is an isometry, since the distances between two points on the plane remain the same after the rotation or translation.
The American Heritage® Science Dictionary
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FOLDOC
Computing Dictionary

### isometry definition

mathematics
A mapping of a metric space onto another or onto itself so that the distance between any two points in the original space is the same as the distance between their images in the second space. For example, any combination of rotation and translation is an isometry of the plane.
(1997-12-13)

The Free On-line Dictionary of Computing, © Denis Howe 2010 http://foldoc.org
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Example sentences
Given two figures that are images of each other under an isometry, find the isometry and describe it completely.
Identify precisely which isometry can be used to map onto.
It is a subgroup of the isometry group of the space concerned.
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