Some combinatorial results on the classification of lines in Desarguesian Hjelmslev planes
Some Connections between Minkowski and Hyperbolic Planes
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.
Some cyclical inequalities for the triangle.
Some Discussions Related to Disjoint Ber's Subplanes
Some Facts about Trigonometry and Euclidean Geometry
We calculate the values of the trigonometric functions for angles: [XXX] , by [16]. After defining some trigonometric identities, we demonstrate conventional trigonometric formulas in the triangle, and the geometric property, by [14], of the triangle inscribed in a semicircle, by the proposition 3.31 in [15]. Then we define the diameter of the circumscribed circle of a triangle using the definition of the area of a triangle and prove some identities of a triangle [9]. We conclude by indicating that...
Some generalization of Desargues and Veronese configurations
2000 Mathematics Subject Classification: 51E14, 51E30.We propose a method of constructing partial Steiner triple system, which generalizes the representation of the Desargues configuration as a suitable completion of three Veblen configurations. Some classification of the resulting configurations is given and the automorphism groups of configurations of several types are determined.
Some Generalization of Nearaffine Planes
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.
Some Generalized Quadrangles with Parameters q2, q.
Some inequalities between two polygons inscribed one in the other.
Some inequalities concerning the existence of -chordal polygons.
Some inequalities for the triangle.
Some inequalities for the triangle.
Some Inequalities Related To Euler’s Theorem
Some inequalities related to Euler's theorem R...2r.
Some models of geometries and a functional equation
Some models of plane geometries and a functional equation
Some Moebius-geometric theorems connected to Euclidean kinematics.
Some problems of classification of points in the Desarguesian Hjelmslev plane
Some properties of -projecting.
Some properties of the discrete holometric space