Add to ORKGAbstract. In this article we’ll emphasize on two triangles and provide a vectorial proof of the fact that these triangles have the same orthocenter. This proof will, further allow us to develop a vectorial proof of the Stevanovic’s theorem relative to the orthocenter of the Fuhrmann’s triangle. Lemma 1 Let ABC an acute angle triangle, H its orthocenter, and ', ', 'A B C the symmetrical points of H in rapport to the sides,,BC CA AB. We denote by,,X Y Z the symmetrical points of,,A B C in rapport to ' ', ' ', ' 'B C C A A B The orthocenter of the triangle XYZ is H
We present the Smarandache’s Orthic Theorem in the geometry of the triangle. Smarandache’s Orthic Th...
In this article we prove the theorems of the orthopole and we obtain, through duality, its dual, and...
Abstract. We give a simple proof of Euler’s remarkable theorem that for a non-degenerate triangle, t...
Abstract. In this article we’ll emphasize on two triangles and provide a vectorial proof of the fact...
In this article we'll emphasize on two triangles and provide vectorial proof of the fact that these ...
Abstract. We prove that if two triangles are orthologic, their orthology centers have the same baryc...
In this article we prove the Sodat’s theorem regarding the ortho-homogolgical triangle and then we u...
In this article we’ll present a new proof of Dergiades ’ Theorem, and we’ll use this theorem to prov...
Abstract. In this article we propose to determine the triangles ’ class i i iA B C orthohomological ...
folllowing: If 1 2,P P are isogonal points in the triangle ABC, and if 1 1 1A B C and 2 2 2A B C are...
In a previous paper [5] we have introduced the ortho-homological triangles, which are triangles that...
In this paper we study some kind of orthocenter for quadrilaterals. For any quadrilateral ABCD, let ...
Let ABC be a triangle. The points A', B', and C' symmetric to the orthocenter H with respect to the ...
We introduce the altitudes of a triangle (the cevians perpendicular to the opposite sides). Using th...
Abstract. We prove a generalization of Victor Thébault’s theorem that if HaHbHc is the orthic trian...
We present the Smarandache’s Orthic Theorem in the geometry of the triangle. Smarandache’s Orthic Th...
In this article we prove the theorems of the orthopole and we obtain, through duality, its dual, and...
Abstract. We give a simple proof of Euler’s remarkable theorem that for a non-degenerate triangle, t...
Abstract. In this article we’ll emphasize on two triangles and provide a vectorial proof of the fact...
In this article we'll emphasize on two triangles and provide vectorial proof of the fact that these ...
Abstract. We prove that if two triangles are orthologic, their orthology centers have the same baryc...
In this article we prove the Sodat’s theorem regarding the ortho-homogolgical triangle and then we u...
In this article we’ll present a new proof of Dergiades ’ Theorem, and we’ll use this theorem to prov...
Abstract. In this article we propose to determine the triangles ’ class i i iA B C orthohomological ...
folllowing: If 1 2,P P are isogonal points in the triangle ABC, and if 1 1 1A B C and 2 2 2A B C are...
In a previous paper [5] we have introduced the ortho-homological triangles, which are triangles that...
In this paper we study some kind of orthocenter for quadrilaterals. For any quadrilateral ABCD, let ...
Let ABC be a triangle. The points A', B', and C' symmetric to the orthocenter H with respect to the ...
We introduce the altitudes of a triangle (the cevians perpendicular to the opposite sides). Using th...
Abstract. We prove a generalization of Victor Thébault’s theorem that if HaHbHc is the orthic trian...
We present the Smarandache’s Orthic Theorem in the geometry of the triangle. Smarandache’s Orthic Th...
In this article we prove the theorems of the orthopole and we obtain, through duality, its dual, and...
Abstract. We give a simple proof of Euler’s remarkable theorem that for a non-degenerate triangle, t...