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ENGLISH · A WORD WITH POSSIBILITIES

isometry.

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.

8 characters4 syllables approx.English language

Meaning & usage

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.
Where this word comes from

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.

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Definitions, grammatical labels, IPA, etymology and examples: Wiktionary contributors, extracted by Kaikki / Wiktextract. Adapted under CC BY-SA 4.0. Selected fields and authored examples are shown; third-party quotations and audio are omitted. See contributor history.

Last enriched 2026-09-10. Definitions are in English. Romanizations are shown when supplied by the source; syllable estimates are omitted for unsupported scripts.