hyperplane

English

Etymology

hyper- +‎ plane

Noun

hyperplane (plural hyperplanes)

(geometry) 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.)

Related terms

hypersurface

Translations

an n-dimensional generalization of a plane

Czech: nadrovina f
French: hyperplan (fr) m
German: Hyperebene (de) f

Hungarian: hipersík
Russian: гиперпло́скость (ru) f (giperplóskostʹ)

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