On Havlíček-Tietze configuration in some non-Desarguesian planes
Andrzej Matraś (1989)
Časopis pro pěstování matematiky
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Displaying similar documents to “A universal construction for projective Hjelmslev planes of level ”
On Havlíček-Tietze configuration in some non-Desarguesian planes
On the non-existence of certain hyperovals in dual André planes of order 2.
Aguglia, Angela, Giuzzi, Luca (2008)
The Electronic Journal of Combinatorics [electronic only]
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Some Generalization of Nearaffine Planes
Jan Jakóbowski (2005)
Bulletin of the Polish Academy of Sciences. Mathematics
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There are three kinds of Benz planes: Möbius planes, Laguerre planes and Minkowski planes. A Minkowski plane satisfying an additional axiom is connected with some other structure called a nearaffine plane. We construct an analogous structure for a Laguerre plane. Moreover, our description is common for both cases.
On the size of maximal caps in .
Metsch, K. (2003)
Advances in Geometry
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Lower levels of Euclidean planes.
Quaisser, Erhard (1998)
Beiträge zur Algebra und Geometrie
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On some hyperbolic planes from finite projective planes.
Celik, Basri (2001)
International Journal of Mathematics and Mathematical Sciences
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An axiom system for full -dimensional Euclidean geometry
Jarosław Kosiorek (1991)
Mathematica Bohemica
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We present an axiom system for class of full Euclidean spaces (i.e. of projective closures of Euclidean spaces) and prove the representation theorem for our system, using connections between Euclidean spaces and elliptic planes.
Extending Nearaffine Planes to Hyperbola Structures
Kinga Cudna-Salmanowicz, Jan Jakóbowski (2007)
Bulletin of the Polish Academy of Sciences. Mathematics
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H. A. Wilbrink [Geom. Dedicata 12 (1982)] considered a class of Minkowski planes whose restrictions, called residual planes, are nearaffine planes. Our study goes in the opposite direction: what conditions on a nearaffine plane are necessary and sufficient to get an extension which is a hyperbola structure.
Semiaffine spaces.
Van Maldeghem, Hendrik (2009)
The Electronic Journal of Combinatorics [electronic only]
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