Naslov
Inversion in Minkowskischer Geometrie
(Inversion in Minkowskian geometry)

Autori
Kovačević, Nikolina ; Szirovicza, Vlasta

Izvornik
Mathematica Pannonica (0865-2090) 21 (2010), 1; 89-113

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Minkowskische Ebene; Zirkularitätsgrad der Kurve; M-Inversion; Kegelschnitte
(Minkowski plane; degree of circularity of the curve; M-inversion; conic)

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.

Izvorni jezik
Ger

Znanstvena područja
Matematika

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