Distance-preserving transformation, as the rotation of a plane

• Equality of measure
• Equality of measure turns to misery
• Equality of elevation above sea level

WordNet Word definitions in WordNet
n. the growth rates in different parts of a growing organism are the same a one-to-one mapping of one metric space into another metric space that preserves the distances between each pair of points; "the isometries of the cube" equality of elevation above ...

Wikipedia Word definitions in Wikipedia
In mathematics , an isometry (or congruence , or congruent transformation ) is a distance -preserving injective map between metric spaces . "We shall find it convenient to use the word transformation in the special sense of a one-to-one correspondence P ...

Wiktionary Word definitions in Wiktionary
n. (context mathematics English) A function between metric spaces (or on a single metric space) having the property that the distance between two images is equal to the distance between their preimages.

Douglas Harper's Etymology Dictionary Word definitions in Douglas Harper's Etymology Dictionary
1941, from Greek isometria "equality of measure," from iso- (see iso- ) + metria "a measuring" (see -metry ).