Add to ORKGWe obtain several characterizations of the Kiepert, Jarabek, and Feuerbach hyperbolas of a tringle ABC using the antipedal tringles of a variable point P in the plane and the notion of orthologic tringles. Our arguments are algebraic and use complex numbers
Plants and trees grow perpendicular to the plane tangent to the soil surface, at the point of penetr...
We initiate a triangle geometry in the projective metrical setting, based on the purely algebraic ap...
Abstract. We explore some properties of the geometric configuration when a ring of six squares with ...
We obtain several characterizations of the Kiepert, Jarabek, and Feuerbach hyperbolas of a tringle A...
We obtain several characterisations of the Kiepert, Jarabek, and Feuerbach hyperbolas of a scalene t...
The concept of the Kiepert hyperbola of an allowable triangle in an isotropic plane is introduced in...
In this paper, the third in the series, we study the properties of the generalized orthocenter H cor...
In this note, we explore an apparently new one parameter family of conics associated to a triangle. ...
Abstract. We study Kiepert triangles K(φ) and their iterations K(φ, ψ), the Kiepert triangles K(ψ) r...
The article observes a one-parameter triangle family T . We prove that the sets of the orthocenters,...
Abstract. In this article we propose to determine the triangles ’ class i i iA B C orthohomological ...
Abstract. Consider an arbitrary point P in the plane of triangle ABC with cevian triangle A1B1C1. Er...
n this paper we consider the curve which is an envelope of the axes of homology of a given triangle ...
Abstract. We study the condition for concurrency of the Euler lines of the three triangles each boun...
In this paper we show how to use computers to discover appearence of cyclic quadrangles in geometri...
Plants and trees grow perpendicular to the plane tangent to the soil surface, at the point of penetr...
We initiate a triangle geometry in the projective metrical setting, based on the purely algebraic ap...
Abstract. We explore some properties of the geometric configuration when a ring of six squares with ...
We obtain several characterizations of the Kiepert, Jarabek, and Feuerbach hyperbolas of a tringle A...
We obtain several characterisations of the Kiepert, Jarabek, and Feuerbach hyperbolas of a scalene t...
The concept of the Kiepert hyperbola of an allowable triangle in an isotropic plane is introduced in...
In this paper, the third in the series, we study the properties of the generalized orthocenter H cor...
In this note, we explore an apparently new one parameter family of conics associated to a triangle. ...
Abstract. We study Kiepert triangles K(φ) and their iterations K(φ, ψ), the Kiepert triangles K(ψ) r...
The article observes a one-parameter triangle family T . We prove that the sets of the orthocenters,...
Abstract. In this article we propose to determine the triangles ’ class i i iA B C orthohomological ...
Abstract. Consider an arbitrary point P in the plane of triangle ABC with cevian triangle A1B1C1. Er...
n this paper we consider the curve which is an envelope of the axes of homology of a given triangle ...
Abstract. We study the condition for concurrency of the Euler lines of the three triangles each boun...
In this paper we show how to use computers to discover appearence of cyclic quadrangles in geometri...
Plants and trees grow perpendicular to the plane tangent to the soil surface, at the point of penetr...
We initiate a triangle geometry in the projective metrical setting, based on the purely algebraic ap...
Abstract. We explore some properties of the geometric configuration when a ring of six squares with ...