Displaying 41 – 60 of 237

Showing per page

The contributions of Hilbert and Dehn to non-archimedean geometries and their impact on the italian school

Cinzia Cerroni (2007)

Revue d'histoire des mathématiques

In this paper we investigate the contribution of Dehn to the development of non-Archimedean geometries. We will see that it is possible to construct some models of non-Archimedean geometries in order to prove the independence of the continuity axiom and we will study the interrelations between Archimedes’ axiom and Legendre’s theorems. Some of these interrelations were also studied by Bonola, who was one of the very few Italian scholars to appreciate Dehn’s work. We will see that, if Archimedes’...

The cross-ratio in Hjelmslev planes

Rastislav Jurga (1997)

Mathematica Bohemica

The cross-ratio in Hjelmslev planes is defined. The cross-ratio in the Hjelmslev plane H ( R ) is independent of the choice of a coordinate system on a line.

Currently displaying 41 – 60 of 237