Distance-preserving transformation, as the rotation of a plane

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

Wikipedia Word definitions in Wikipedia
In the study of Riemannian geometry in mathematics , a local isometry from one ( pseudo -) Riemannian manifold to another is a map which pulls back the metric tensor on the second manifold to the metric tensor on the first. When such a map is also a diffeomorphism ...

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 ).

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 ...

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.