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Inversion in Minkowskischer Geometrie (CROSBI ID 160241)

Prilog u časopisu | izvorni znanstveni rad

Kovačević, Nikolina ; Szirovicza, Vlasta Inversion in Minkowskischer Geometrie // Mathematica Pannonica, 21 (2010), 1; 89-113

Podaci o odgovornosti

Kovačević, Nikolina ; Szirovicza, Vlasta

njemački

Inversion in Minkowskischer Geometrie

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.

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

nije evidentirano

engleski

Inversion in Minkowskian geometry

nije evidentirano

Minkowski plane; degree of circularity of the curve; M-inversion; conic

nije evidentirano

Podaci o izdanju

21 (1)

2010.

89-113

objavljeno

0865-2090

Povezanost rada

Matematika