We consider a family of triangle centers whose barycentric coordinates are given by quadratic polynomials, and determine the lines that contain an infinite number of such triangle centers. We show that for a given quadratic triangle center, there exist in general four principal lines through this center. These four principal lines possess an intimate connection with the Nagel line
Assume that a cubic polynomial differential system in the plane has four invariant straight lines in...
Abstract. The variance of a weighted collection of points is used to prove classi-cal theorems of ge...
AbstractFor all non-negative integers n1,n2,n3,j1,j2 and j3 with nk+jk>1 for k=1,2,3, (nk,jk)≠(nl,jl...
We consider a family of triangle centers whose barycentric coordinates are given by quadratic polyno...
We consider a family of triangle centers whose barycentric coordinates are given by quadratic polyno...
We introduce a concept “degree of triangle centers", and give a formula expressing the degree of tri...
We introduce a concept “degree of triangle centers", and give a formula expressing the degree of tri...
We introduce a concept “degree of triangle centers", and give a formula expressing the degree of tri...
Abstract. We study those tritangent circles of the excircles of a triangle which enclose exactly one...
Abstract. Using tripolar coordinates, we prove that if P is a point in the plane of triangle ABC suc...
We develop a generalized triangle geometry, using an arbitrary bilinear form in an affine plane over...
The Euler line of a triangle passes through several important points, including three specific trian...
We study the center problem for planar systems with a linear center at the origin that in complex co...
In an earlier article we had presented a way to characterize well known triangle centres – by their...
AbstractWe study the bifurcation of limit cycles in general quadratic perturbations of plane quadrat...
Assume that a cubic polynomial differential system in the plane has four invariant straight lines in...
Abstract. The variance of a weighted collection of points is used to prove classi-cal theorems of ge...
AbstractFor all non-negative integers n1,n2,n3,j1,j2 and j3 with nk+jk>1 for k=1,2,3, (nk,jk)≠(nl,jl...
We consider a family of triangle centers whose barycentric coordinates are given by quadratic polyno...
We consider a family of triangle centers whose barycentric coordinates are given by quadratic polyno...
We introduce a concept “degree of triangle centers", and give a formula expressing the degree of tri...
We introduce a concept “degree of triangle centers", and give a formula expressing the degree of tri...
We introduce a concept “degree of triangle centers", and give a formula expressing the degree of tri...
Abstract. We study those tritangent circles of the excircles of a triangle which enclose exactly one...
Abstract. Using tripolar coordinates, we prove that if P is a point in the plane of triangle ABC suc...
We develop a generalized triangle geometry, using an arbitrary bilinear form in an affine plane over...
The Euler line of a triangle passes through several important points, including three specific trian...
We study the center problem for planar systems with a linear center at the origin that in complex co...
In an earlier article we had presented a way to characterize well known triangle centres – by their...
AbstractWe study the bifurcation of limit cycles in general quadratic perturbations of plane quadrat...
Assume that a cubic polynomial differential system in the plane has four invariant straight lines in...
Abstract. The variance of a weighted collection of points is used to prove classi-cal theorems of ge...
AbstractFor all non-negative integers n1,n2,n3,j1,j2 and j3 with nk+jk>1 for k=1,2,3, (nk,jk)≠(nl,jl...
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