Standard Lemma guide

isometry

noun · 5 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

Sound

Pronunciation

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No pronunciation record was provided for this word.

1

noun

Meaning 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.

Definition source: English Wiktionary via Wiktextract

Topics: mathematics, sciences

Examples

  • Isometry is to metric spaces what isomorphism is to groups.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

2

noun

Meaning 2

equality of measure (e.g., equality of height above sea level or equality of loudness etc.)

Definition source: Princeton WordNet 3.0

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

Broader terms: equality

3

noun

Meaning 3

equality of elevation above sea level

Definition source: Princeton WordNet 3.0

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

Broader terms: elevation

4

noun

Meaning 4

a one-to-one mapping of one metric space into another metric space that preserves the distances between each pair of points

Definition source: Princeton WordNet 3.0

Examples

  • the isometries of the cube

Meaning relationships

Synonyms: none provided

Antonyms: none provided

Broader terms: function, mathematical function, single-valued function, map, mapping

5

noun

Meaning 5

the growth rates in different parts of a growing organism are the same

Definition source: Princeton WordNet 3.0

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

Broader terms: growth rate, rate of growth

History

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.

Across languages

Translations

12 source translations are retained for this English entry.

  • Catalan: isometria — A function
  • Dutch: isometrie — A function
  • Finnish: isometria — A function
  • French: isométrie — A function
  • German: Isometrie — A function
  • Hebrew: איזומטריה (izométria) — A function
  • Hungarian: egybevágósági transzformáció — A function
  • Italian: isometria — A function
  • Latin: isometria — A function
  • Portuguese: isometria — A function
  • Spanish: isometría — A function
  • Swedish: isometri — A function
Real reading context

isometry in complete knowledge articles