Add to ORKGAbstract. In this paper we prove that 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 their corresponding pedal triangles such that the triangles ABC and 1 1 1A B C are homological (the lines 1 1 1, , AA BB CC are concurrent), then the triangles ABC and 2 2 2A B C are also homological. Introduction. In order for the paper to be self-contained, we recall below the main definitions and theorems needed in solving this theorem. Also, we introduce the notion of Orthohomological Triangles, which means two triangles tha
Abstract. In this article we’ll emphasize on two triangles and provide a vectorial proof of the fact...
In this paper we introduce the first Brocard triangle of an allowable triangle in the isotropic plan...
Abstract. We prove that if two triangles are orthologic, their orthology centers have the same baryc...
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...
Abstract. In this article we propose to determine the triangles ’ class i i iA B C orthohomological ...
In this article we’ll present a new proof of Dergiades ’ Theorem, and we’ll use this theorem to prov...
In this article we prove the Sodat’s theorem regarding the ortho-homogolgical triangle and then we u...
In this article will prove some theorems in relation to the triplets of homological triangles two by...
Plants and trees grow perpendicular to the plane tangent to the soil surface, at the point of penetr...
In this article we'll emphasize on two triangles and provide vectorial proof of the fact that these ...
Abstract. We give a short proof of Lemoine’s theorem that the Lemoine point of a triangle is the uni...
In this article we prove the theorems of the orthopole and we obtain, through duality, its dual, and...
In this note, we make connections between Problem 21 of [1] and the theory of orthological triangles
Abstract. We explore some properties of the geometric configuration when a ring of six squares with ...
Abstract. In this article we’ll emphasize on two triangles and provide a vectorial proof of the fact...
In this paper we introduce the first Brocard triangle of an allowable triangle in the isotropic plan...
Abstract. We prove that if two triangles are orthologic, their orthology centers have the same baryc...
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...
Abstract. In this article we propose to determine the triangles ’ class i i iA B C orthohomological ...
In this article we’ll present a new proof of Dergiades ’ Theorem, and we’ll use this theorem to prov...
In this article we prove the Sodat’s theorem regarding the ortho-homogolgical triangle and then we u...
In this article will prove some theorems in relation to the triplets of homological triangles two by...
Plants and trees grow perpendicular to the plane tangent to the soil surface, at the point of penetr...
In this article we'll emphasize on two triangles and provide vectorial proof of the fact that these ...
Abstract. We give a short proof of Lemoine’s theorem that the Lemoine point of a triangle is the uni...
In this article we prove the theorems of the orthopole and we obtain, through duality, its dual, and...
In this note, we make connections between Problem 21 of [1] and the theory of orthological triangles
Abstract. We explore some properties of the geometric configuration when a ring of six squares with ...
Abstract. In this article we’ll emphasize on two triangles and provide a vectorial proof of the fact...
In this paper we introduce the first Brocard triangle of an allowable triangle in the isotropic plan...
Abstract. We prove that if two triangles are orthologic, their orthology centers have the same baryc...