1 citations · 2 across the 6 of their papers we have counts for
6 papers
Quadri-Figures in Cayley-Klein Planes II: The Miquel-Steiner Theorem
Manfred Evers
The Miquel-Steiner theorem for a quadrilateral in the euclidean plane states that the circumcircles of the four component triangles intersect at a single point, which now is called…
Quadri-Figures in Cayley-Klein Planes: All Around the Newton Line
Manfred Evers
The Newton line and the associated theorems by Newton and Gauss for tetragons and quadrilaterals are closely linked to some other theorems of Euclidean geometry: a theorem by Boche…
Geometry on real projective Cayley-Klein spaces
Manfred Evers
We investigate several topics of the geometry on real Cayley-Klein spaces. An important concern for us is to define a distance function on the projective space in such a way that t…
Isogonic and isodynamic points of a simplex in a real affine space
Manfred Evers
A non-equilateral triangle in a Euclidean plane has exactly two isogonic and two isodynamic points. There are a number of different but equivalent characterizations of these triang…
On The Geometry of a Triangle in the Elliptic and in the Extended Hyperbolic Plane
Manfred Evers
We investigate several topics of triangle geometry in the elliptic and in the extended hyperbolic plane, such as: centers based on orthogonality, centers related to circumcircles a…
On Centers and Central Lines of Triangles in the Elliptic Plane
Manfred Evers
We determine barycentric coordinates of triangle centers in the elliptic plane. The main focus is put on centers that lie on lines whose euclidean limit (triangle excess --> 0) is…