Tangentes a uma cônica.
Teorie Dürerovy soustavy a některých mechanických konstrukcí perspektiv a rovnoběžných projekcí
Ternary rings of Pappian planes
Ternary rings with zero associated to translation planes
Testing of convex polyhedron visibility by means of graphs
This paper follows the article by V. Medek which solves the problem of finding the boundary of a convex polyhedron in both parallel and central projections. The aim is to give a method which yields a simple algorithm for the automation of an arbitrary graphic projection of a convex polyhedron. Section 1 of this paper recalls some necessary concepts from the graph theory. In Section 2 graphs are applied to determine visibility of a convex polyhedron.
The application of Pluecker’s line-geometry to the study of polar properties of quadrics
The CC-version of Stewart's theorem.
The Collineation Groups of Derived Translation Planes. II.
The cyclides of third order in pseudoisotropic space. II. (Die Zykliden 3. Ordnung im pseudoisotropen Raum. II.)
The development of the oloid.
The dynamics of two-circle and three-circle inversion
We study the dynamics of a map generated via geometric circle inversion. In particular, we define multiple circle inversion and investigate the dynamics of such maps and their corresponding Julia sets.
The Euclidean plane kinematics
Restricting his considerations to the Euclidean plane, the author shows a method leading to the solution of the equivalence problem for all Lie groups of motions. Further, he presents all transitive one-parametric system of motions in the Euclidean plane.
The functional equation of distance preservance in spaces over rings.
The functional equation of distance preservance in spaces over rings. (Short Communication).
The future or graphical communication education in the new South Africa.
The geometry of null systems, Jordan algebras and von Staudt's theorem
We characterize an important class of generalized projective geometries by the following essentially equivalent properties: (1) admits a central null-system; (2) admits inner polarities: (3) is associated to a unital Jordan algebra. These geometries, called of the first kind, play in the category of generalized projective geometries a rôle comparable to the one of the projective line in the category of ordinary projective geometries. In this general set-up, we prove an analogue of von Staudt’s...
The Gergonne point generalized through convex coordinates.
The intersection conics of six straight lines.
The Missing Seventh Circle.
The Neuberg cubic in locus problems.