Points and Triangles in the Plane and Halving Planes in Space.
H. Edelsbrunner, B. Chazelle, L.J. Guibas, M. Sharir, R. Wenger, B. Aronov (1991)
Discrete & computational geometry
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H. Edelsbrunner, B. Chazelle, L.J. Guibas, M. Sharir, R. Wenger, B. Aronov (1991)
Discrete & computational geometry
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Bretto, A., Laget, B. (1998)
Southwest Journal of Pure and Applied Mathematics [electronic only]
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M. Henderson (1964)
Colloquium Mathematicae
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Albert, A.A. (1959)
Portugaliae mathematica
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D. W. Crowe (1964)
Colloquium Mathematicae
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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.
Salzmann, Helmut (2000)
Beiträge zur Algebra und Geometrie
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Applegate, David, Bixby, Robert, Chvátal, Vašek, Cook, William (1998)
Documenta Mathematica
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Kroll, Hans-Joachim, Matraś, Andrzej (1997)
Beiträge zur Algebra und Geometrie
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H. Edelsbrunner, L.J. Guibas, M. Sharir (1990)
Discrete & computational geometry
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Jill C.D.S. Yaqub (1967)
Mathematische Zeitschrift
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Johnson, N.L. (1981)
International Journal of Mathematics and Mathematical Sciences
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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.
Heinz Lüneburg (1966)
Mathematische Zeitschrift
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Sten Hansen (1980)
Mathematica Scandinavica
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