Conic sections in space defined by intersection conditions.

Schröcker, Hans-Peter

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The intersection conics of six straight lines.

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Generalized triangular grids in digital geometry.

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On the size of maximal caps in $Q^{+} (5, q)$ .

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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.

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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.