# isometry

[ahy-som-i-tree]

- equality of measure.
- Biology. equal growth rates in two parts of a developing organism.
- Geography. equality with respect to height above sea level.
- 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.

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## Origin of isometry^{}

Dictionary.com Unabridged
Based on the Random House Unabridged Dictionary, © Random House, Inc. 2018

## isometry

- maths rigid motion of a plane or space such that the distance between any two points before and after this motion is unaltered
- equality of height above sea level

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Collins English Dictionary - Complete & Unabridged 2012 Digital Edition
© William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

## Word Origin and History for isometry

Online Etymology Dictionary, © 2010 Douglas Harper

## isometry

[ī-sŏm′ĭ-trē]

- 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.

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The American Heritage® Science Dictionary
Copyright © 2011. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.