hyperplane

English

Etymology

From hyper- +‎ plane.

Noun

hyperplane (plural hyperplanes)

1. (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 (hu)
• Kazakh: гипержазықтық (giperjazyqtyq)
• Russian: гиперпло́скость (ru) f (giperplóskostʹ)