Sets in the plane with many concyclic subsets.
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.
Shodná zobrazení v prostoru
Simple counter examples for the unsolvability of the Fermat- and Steiner-Weber-problem by compass and ruler.
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 .
Solution des questions de géométrie élémentaire proposées par M. Casimir Rey (voir même tome, p. 273)
Solution d'un problème de géométrie
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 inequalities for the triangle.
Some Moebius-geometric theorems connected to Euclidean kinematics.
Sur la construction de la normale dans un certain mode de génération des courbes planes
Sur la distance d'un point à une droite
Sur la transformation du mouvement rotatoire en mouvement sur certaines lignes, à l'aide de systèmes articulés
Sur les débuts de la trigonométrie
Sur les substitution linéaires
Sur un élément du triangle rectiligne ; symédiane
Sur un triangle dont les côtés sont exprimés par des nombres entiers, premiers entre eux et dans lequel le rapport de deux angles est un nombre entier
Surfaces de révolution du second degré
Symmedians and the symmedian center of the triangle in an isotropic plane.
Symmetrical Patterns by Means of Contour Plots