# isometry

[ ahy-som-i-tree ]

/ aɪˈsɒm ɪ tri /

### noun

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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Dictionary.com Unabridged
Based on the Random House Unabridged Dictionary, © Random House, Inc. 2020

## British Dictionary definitions for isometry

isometry

/ (aɪˈsɒmɪtrɪ) /

### noun

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

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

## Scientific definitions for isometry

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.

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