Showing papers in "Mathematica Pannonica in 2006"

Symmedians and the symmedian center of the triangle in an isotropic plane

Abstract: The concepts of symmedians and the symmedian center of the triangle in an isotropic plane are defined. Some interesting relationships between the introduced concepts and other elements of the triangle in an isotropic plane are also studied. A certain number of these statements results from euclidean geometry, but some of them are new.

Flags in Euclidean three-space.

Abstract: The present paper is devoted to the study of flags in Euclidean threespace. Coordinates of flags are defined and a point model in a projective space is discussed. We study special subsets of the manifold of flags and show the close relations to Euclidean kinematics and NonEuclidean geometries.