Tangent segments in Minkowski planes.
Tečny dvou kruhů
The computation of certain numbers using a ruler and compass.
The envelope of the Wallace-Simpson lines of a triangle. A simple proof of the Steiner problem on the deltoid.
A simple proof is presented of a famous, and difficult, theorem by Jakob Steiner. By means of a straightforward transformation of the triangle, the proof of the theorem is reduced to the case of the equilateral triangle. Several relations of the Steiner deltoid with the Feuerbach circle and the Morley triangle appear then as obvious.
The Euler Line Revisited.
The Neuberg cubic in locus problems.
The nine points circle and Euler's line. (El círculo de los nueve puntos y la recta de Euler.)
The number of triangles formed by intersecting diagonals of a regular polygon.
The role of Sommerville tetrahedra in numerical mathematics
In this paper we summarize three recent results in computational geometry, that were motivated by applications in mathematical modelling of fluids. The cornerstone of all three results is the genuine construction developed by D. Sommerville already in 1923. We show Sommerville tetrahedra can be effectively used as an underlying mesh with additional properties and also can help us prove a result on boundary-fitted meshes. Finally we demonstrate the universality of the Sommerville's construction by...
The weighted Fermat triangle problem.
Théorème relatif à la courbe de Watt
Theorie der goniometrischen und der longimetrischen Quaternionen [Book]
There are no new homometric Golomb ruler pairs with 12 marks or less.