Point-hyperplane axioms for orthogonal geometries (Q1056907)

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.