Inversion in Minkowskischer Geometrie

izvorni znanstveni rad

izvorni znanstveni rad

Inversion in Minkowskischer Geometrie

Vrsta prilog u časopisu
Tip izvorni znanstveni rad
Godina 2010
Časopis Mathematica Pannonica
Nadređena publikacija Mathematica Pannonica
Volumen 21
Svesčić 1
Stranice str. 89-113
ISSN 0865-2090
Status objavljeno

Sažetak

A Minkowski (pseudo-Euclidean) plane is a real affine plane where the metric is introduced by an absolute {;f, F1, F2};, where f is the line at infinity of affine plane and F1, F2 are two real points lying on it. In this paper a notion of curve circularity is introduced in Minkowski plane. As a novelty the equiform classification of conics is given by synthetic method on the base of the analytic background. Also, we define quadratic transformation called M-inversion and investigate some of its properties.

Ključne riječi

Minkowskische Ebene; Zirkularitätsgrad der Kurve; M-Inversion; Kegelschnitte