Geodesic
Some Connections between Minkowski and Hyperbolic Planes
Jarosław Kosiorek 1   ; Andrzej Matraś 1
1 Faculty of Mathematics and Computer Science University of Warmia and Mazury /Zołnierska 14 10-561 Olsztyn, Poland
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 52 (2004) no. 2, pp. 133-139 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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The model of the Minkowski plane in the projective plane with a fixed conic sheds a new light on the connection between the Minkowski and hyperbolic geometries. The construction of the Minkowski plane in a hyperbolic plane over a Euclidean field is given. It is also proved that the geometry in an orthogonal bundle of circles is hyperbolic in a natural way.
DOI : 10.4064/ba52-2-4
Keywords: model minkowski plane projective plane fixed conic sheds light connection between minkowski hyperbolic geometries construction minkowski plane hyperbolic plane euclidean field given proved geometry orthogonal bundle circles hyperbolic natural

Jarosław Kosiorek  1   ; Andrzej Matraś  1

1 Faculty of Mathematics and Computer Science University of Warmia and Mazury /Zołnierska 14 10-561 Olsztyn, Poland 
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Jarosław Kosiorek; Andrzej Matraś. Some Connections between Minkowski
 and Hyperbolic Planes. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 52 (2004) no. 2, pp. 133-139. doi: 10.4064/ba52-2-4

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