Standard Lemma guide

hyperplane

noun · 1 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.

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Pronunciation

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1

noun

Meaning 1

An n-dimensional generalization of a plane; an affine subspace of dimension n − 1 that splits an n-dimensional space. (In a one-dimensional space, it is a point; in two-dimensional space it is a line; in three-dimensional space, it is an ordinary plane.)

Definition source: English Wiktionary via Wiktextract

Topics: geometry, mathematics, sciences

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

History

Etymology

Etymology tree Proto-Indo-European *úp Proto-Indo-European *-er Proto-Indo-European *upér Proto-Hellenic *hupér Ancient Greek ῠ̔πέρ (hŭpér) Ancient Greek ῠ̔περ- (hŭper-)der. English hyper- English plane English hyperplane From hyper- + plane.

Across languages

Translations

7 source translations are retained for this English entry.

  • Czech: nadrovina — an n-dimensional generalization of a plane
  • French: hyperplan — an n-dimensional generalization of a plane
  • German: Hyperebene — an n-dimensional generalization of a plane
  • Hungarian: hipersík — an n-dimensional generalization of a plane
  • Kazakh: гипержазықтық (giperjazyqtyq) — an n-dimensional generalization of a plane
  • Polish: hiperpłaszczyzna — an n-dimensional generalization of a plane
  • Russian: гиперпло́скость (giperplóskostʹ) — an n-dimensional generalization of a plane