2 papers
math.CO2006
The symmetry axiom in Minkowski planes
Jaroslaw Kosiorek, Andrzej Matras
The aim of the paper is to give a synthetic proof that in a symmetric Minkowski plane the Benz's (G) axiom holds (without using the algebraic representation).
math.CO2006
The symmetry axioms in Laguerre planes
Jaroslaw Kosiorek, Andrzej Matras
We introduce two axioms in Laguerre geometry and prove that they provide a characterization of miquelian planes over fields of the characteristic different from 2. They allow to de…