¹ *Source: wiktionary.com*

### Definition of Hyperplanes

**1.** hyperplane [n] - See also: hyperplane

### Hyperplanes Pictures

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### Lexicographical Neighbors of Hyperplanes

### Literary usage of Hyperplanes

Below you will find example usage of this term as found in modern and/or classical literature:

**1.** *Geometry of Four Dimensions* by Henry Parker Manning (1914)

"PERPENDICULAR PLANES AND **hyperplanes** 50. Perpendicular planes and **hyperplanes**.
The planes perpendicular or absolutely perpendicular to planes lying in the ..."**2.** *Higher Geometry: An Introduction to Advanced Methods in Analytic Geometry* by Frederick Shenstone Woods (1922)

"... the tangent **hyperplanes** to <f> at points of the intersections of <£ with one
of these are exactly the tangent **hyperplanes** of <f> which pass through the ..."**3.** *Mixture Models: Theory, Geometry, and Applications* by Bruce G. Lindsay (1995)

"**hyperplanes** and convex sets. A useful tool for working with convex sets is the
idea of the support hyperplane. For every vector of length 1, say w, in Rd, ..."**4.** *Basic Concepts of Mathematics* by Elias Zakon (2001)

"... as well (here “planes” are also called “**hyperplanes**”). Definition 1. By a
hyperplane (briefly, plane) through a given point aE ..."**5.** *High Dimensional Probability: Proceedings of the Fourth International Conference* by Evarist Giné (2006)

"A proof of the theorem uses a fact about probabilities of proper subspaces or
**hyperplanes**. A related statement is Lemma 5.1 of ..."