Equality of measure turns to misery

• Distance-preserving transformation, as the rotation of a plane
• Equality of measure
• Equality of elevation above sea level

Wikipedia Word definitions in Wikipedia
Isometry , in mathematics, refers to a distance-preserving transformation. Isometry may also refer to: Isometry (quadratic forms) Isometry (Riemannian geometry) Isometry group Quasi-isometry Dade isometry Euclidean plane isometry Itō isometry

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.

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 ).