Isometry
noun
noun ·Rare ·Advanced level
Definitions
Noun
- 1 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.
"Isometry is to metric spaces what isomorphism is to groups."
- 2 equality of measure (e.g., equality of height above sea level or equality of loudness etc.) wordnet
- 3 equality of elevation above sea level wordnet
- 4 a one-to-one mapping of one metric space into another metric space that preserves the distances between each pair of points wordnet
- 5 the growth rates in different parts of a growing organism are the same wordnet
Example
More examples"A distance-preserving diffeomorphism between two Riemannian manifolds is called an isometry."
Etymology
From New Latin isometria, from Ancient Greek ἰσομετρία (isometría), from ἰσο- (iso-) + -μετρία (-metría), from ἴσος (ísos, “equal”) and μέτρον (métron, “measurement”) + -ια (-ia, “-y”). Equivalent to iso- + -metry.
Related phrases
More for "isometry"
Data sourced from Wiktionary, WordNet, CMU, and other open linguistic databases. Updated March 2026.