Point-hyperplane axioms for orthogonal geometries
type: Item
instance of: scholarly article
title: Point-hyperplane axioms for orthogonal geometries
zbMATH Open document ID: 0562.51004
author: James T. Smith
published in: Geometriae Dedicata
publication date: 1985-01-01T00:00:00Z
review text: Continuing his study of orthogonal geometry [Geom. Dedicata 1, 221-235 (1973; Zbl 0248.50002) and ibid., 334-339 (1973; Zbl 0256.50001)], the author presents a set axioms for orthogonal geometries (elliptic and non- elliptic) based on the primitive notions of point, orthocomplimented hyperplane and orthogonality. In this system, he then constructs lines and planes in such a manner that the axioms in the above papers are still satisfied.
reviewed by: T. Bisztriczky
Mathematics Subject Classification ID: 51B05
Mathematics Subject Classification ID: 51A05
zbMATH DE Number: 3895761
zbMATH Keywords: point-hyperplane axioms
zbMATH Keywords: elliptic metric geometries
zbMATH Keywords: nonelliptic metric geometries
zbMATH Keywords: orthogonal geometry
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3895761