We develop a generalized triangle geometry, using an arbitrary bilinear form in an affine plane over a general field. By introducing standardized coordinates we find canonical forms for some basic centers and lines. Strong concurrencies formed by quadruples of lines from the Incenter hierarchy are investigated, including joins of corresponding Incenters, Gergonne, Nagel, Spieker points, Mittenpunkts and the New points we introduce. The diagrams are taken from relativistic (green) geometry.Razvijamo opću geometriju trokuta koristeći proizvoljnu bilinearnu formu u afinoj ravnini nad općim poljem. Uvodeći standardizirane koordinate pronalazimo kanonske oblike nekih osnovnih središta i pravaca. Proučavamo snažnu konkurentnost četvorki pravaca koji p...
Human; he continues his life by using the proportions of the living and inanimate beings that exist ...
During a course in Euclidean geometry at high school level, a student encounters four classical tri...
The Euler line of a triangle passes through several important points, including three specific trian...
We develop a generalized triangle geometry, using an arbitrary bilinear form in an affine plane over a...
We develop a generalized triangle geometry, using an arbitrary bilinear form in an affine plane over...
Chromogeometry brings together planar Euclidean geometry, here called blue geometry, and two relativ...
We initiate a triangle geometry in the projective metrical setting, based on the purely algebraic ap...
We initiate a triangle geometry in the projective metrical setting, based on the purely algebraic ap...
We look at the four-fold symmetry given by the Incenter quadrangle of a triangle, and the relation w...
It is shown in the paper the discovery of two remarkable points of the triangle by means of “THE GEO...
This paper shows how a recent reformulation of the basics of classical geometry and trigonometry rev...
We study relations between the eight projective quadrangle centroids of a quadrangle in universal hy...
This article provides a simple pictorial introduction to universal hyperbolic geometry. We explain h...
We have another look at the Feuerbach theorem with a view to extending it in an oriented way to fini...
NA' ZEV PRA' CE Prostorova' zobecneňı' vlastnostı' troju'helnı'ku AUTOR Jirˇı' Sřubarˇ SˇKOLITEL Pro...
Human; he continues his life by using the proportions of the living and inanimate beings that exist ...
During a course in Euclidean geometry at high school level, a student encounters four classical tri...
The Euler line of a triangle passes through several important points, including three specific trian...
We develop a generalized triangle geometry, using an arbitrary bilinear form in an affine plane over a...
We develop a generalized triangle geometry, using an arbitrary bilinear form in an affine plane over...
Chromogeometry brings together planar Euclidean geometry, here called blue geometry, and two relativ...
We initiate a triangle geometry in the projective metrical setting, based on the purely algebraic ap...
We initiate a triangle geometry in the projective metrical setting, based on the purely algebraic ap...
We look at the four-fold symmetry given by the Incenter quadrangle of a triangle, and the relation w...
It is shown in the paper the discovery of two remarkable points of the triangle by means of “THE GEO...
This paper shows how a recent reformulation of the basics of classical geometry and trigonometry rev...
We study relations between the eight projective quadrangle centroids of a quadrangle in universal hy...
This article provides a simple pictorial introduction to universal hyperbolic geometry. We explain h...
We have another look at the Feuerbach theorem with a view to extending it in an oriented way to fini...
NA' ZEV PRA' CE Prostorova' zobecneňı' vlastnostı' troju'helnı'ku AUTOR Jirˇı' Sřubarˇ SˇKOLITEL Pro...
Human; he continues his life by using the proportions of the living and inanimate beings that exist ...
During a course in Euclidean geometry at high school level, a student encounters four classical tri...
The Euler line of a triangle passes through several important points, including three specific trian...