<abstract xmlns="http://www.w3.org/1999/xhtml"><p> Working in the context of Hilbert's axiomatic system, we prove that the Tzitzeica-Johnson configuration has sense in neutral geometry. The elements of a Tzitzeica-Johnson configuration allow us to analyse the Euclidean or the non-Euclidean character of the metric of the plane</p></abstract>

Working in the context of Hilbert's axiomatic system, we prove that the Tzitzeica-Johnson configuration has sense in neutral geometry. The elements of a Tzitzeica-Johnson configuration allow us to analyse the Euclidean or the non-Euclidean character of the metric of the plane

On the non-generic Tzitzeica-Johnson's Configuration

Department of Mathematics, Ovidius University of Constanta, Bdul Mamaia 124, 900527 Constanta, Romania

Institute of Mathematics of the Romanian Academy, Calea Grivitei 21, Bucharest, Romania

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

{"article-title":"On the non-generic Tzitzeica-Johnson's Configuration"}

Working in the context of Hilbert's axiomatic system, we prove that the Tzitzeica-Johnson configuration has sense in neutral geometry. The elements of a...

On the non-generic Tzitzeica-Johnson's Configuration

Published Online: May 17, 2013

Page range: 21 - 26

DOI: https://doi.org/10.2478/v10309-012-0036-1

Keywords
Neutral plane, axiom of parallels, Tzitzeica problem, Johnson problem

This content is open access.

On the non-generic Tzitzeica-Johnson's Configuration

Published Online: May 17, 2013

Page range: 21 - 26

DOI: https://doi.org/10.2478/v10309-012-0036-1

KeywordsNeutral plane, axiom of parallels, Tzitzeica problem, Johnson problem

This content is open access.

Keywords
Neutral plane, axiom of parallels, Tzitzeica problem, Johnson problem