Sätze über reguläre Polygone
Sätze von Menelaos und Ceva für Vielecke im sphärischen -dimensionalen Raum
Savoir manier les instruments : la géométrie dans les écrits italiens d’architecture (1545-1570)
Cet article est consacré à la géométrie véhiculée par les écrits d’architecture, en particulier les écrits italiens de la seconde moité du xvie siècle. Il explore le rôle central attribué aux instruments dans cette géométrie. De quelle façon s’insère-t-elle dans les multiples traditions mathématiques de la même époque ? Elle se nourrit de fait à la fois d’apports de la tradition savante, de celle des abacistes et de la géométrie pratique. On s’attachera à mettre en évidence, dans les propositions...
Self-affine fractals of finite type
In the class of self-affine sets on ℝⁿ we study a subclass for which the geometry is rather tractable. A type is a standardized position of two intersecting pieces. For a self-affine tiling, this can be identified with an edge or vertex type. We assume that the number of types is finite. We study the topology of such fractals and their boundary sets, and we show how new finite type fractals can be constructed. For finite type self-affine tiles in the plane we give an algorithm which decides whether...
Self-similar simplices.
Separating Two Simple Polygons by a Sequence of Translations.
Serial Polar Transformations Of Simple Geometries
Sestrojení pravidelného sedmnáctiúhelníku
Sets in the plane with many concyclic subsets.
Sets of points determining only acute angles and some related colouring problems.
Several observations about Maneeals - a peculiar system of lines
For an arbitrary triangle ABC and an integer n we define points Dn, En, Fn on the sides BC, CA, AB respectively, in such a manner that |AC|n|AB|n=|CDn||BDn|,|AB|n|BC|n=|AEn||CEn|,|BC|n|AC|n=|BFn||AFn|. Cevians ADn, BEn, CFn are said to be the Maneeals of order n. In this paper we discuss some properties of the Maneeals and related objects.
Shape tiling.
Sharpening on Mircea's inequality.
Shodná zobrazení v prostoru
Simple counter examples for the unsolvability of the Fermat- and Steiner-Weber-problem by compass and ruler.
Simplicial finite elements in higher dimensions
Over the past fifty years, finite element methods for the approximation of solutions of partial differential equations (PDEs) have become a powerful and reliable tool. Theoretically, these methods are not restricted to PDEs formulated on physical domains up to dimension three. Although at present there does not seem to be a very high practical demand for finite element methods that use higher dimensional simplicial partitions, there are some advantages in studying the methods independent of the...
Simplicial maps from the 3-sphere to the 2-sphere.
Skewsquares in quadratical quasigroups
The concept of pseudosquare in a general quadratical quasigroup is introduced and connections to some other geometrical concepts are studied. The geometrical presentations of some proved statements are given in the quadratical quasigroup .
Sliding subspace design based on linear matrix inequalities
In this work, an alternative for sliding surface design based on linear and bilinear matrix inequalities is proposed. The methodology applies for reduced and integral sliding mode control, both continuous- and discrete-time; it takes advantage of the Finsler's lemma to provide a greater degree of freedom than existing approaches for sliding subspace design. The sliding surfaces thus constructed are systematically found via convex optimization techniques, which are efficiently implemented in commercially...
Solution des exercices sur le tétraèdre proposés par M. Genty