Previous Page 2

Displaying 21 – 40 of 40

Showing per page

Alcune condizioni per la costruzione di un piano finito di traslazione

Alessandro Basile, Paolo Brutti (2001)

Bollettino dell'Unione Matematica Italiana

The construction of any finite translation plane depends on the appropriate determination of a partition P E of a Galois field E , together with a set A of automorphisms of E as a vector space. In this paper we obtain sufficient conditions on P E and A , so that a translation plane is produced. They are also necessary conditions when A = 1 . Particularly, we examine the case where E is a two-dimensional vector space. We prove that no translation planes are constructible by a single automorphism, other than...

An axiom system for full 3 -dimensional Euclidean geometry

Jarosław Kosiorek (1991)

Mathematica Bohemica

We present an axiom system for class of full Euclidean spaces (i.e. of projective closures of Euclidean spaces) and prove the representation theorem for our system, using connections between Euclidean spaces and elliptic planes.

An axiom system for incidence spatial geometry.

Rafael María Rubio, Alfonso Ríder (2008)

RACSAM

Incidence spatial geometry is based on three-sorted structures consisting of points, lines and planes together with three intersort binary relations between points and lines, lines and planes and points and planes. We introduce an equivalent one-sorted geometrical structure, called incidence spatial frame, which is suitable for modal considerations. We are going to prove completeness by SD-Theorem. Extensions to projective, affine and hyperbolic geometries are also considered.

Currently displaying 21 – 40 of 40

Previous Page 2