5 papers
A Class of Orthohomological Triangles
Claudiu Coanda, Florentin Smarandache, Ion Patrascu
In this article we determine the class of triangles which are orthohomological with a given triangle and inscribed in the triangle (with , $B_i…
Triplets of Tri-Homological Triangles
Ion Patrascu, Florentin Smarandache
In this article we prove some theorems related to the triplets of triangles, homological two by two. These theorems will be used later to build triplets of triangles two by two tri…
Two Triangles with the Same Orthocenter and a Vectorial Proof of Stevanovic's Theorem
Ion Patrascu, Florentin Smarandache
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 devel…
Two Applications of Desargues' Theorem
Florentin Smarandache, Ion Patrascu
In this article we use the Desargues' theorem and its reciprocal to solve two problems.
Pantazi's Theorem Regarding the Bi-orthological Triangles
Ion Patrascu, Florentin Smarandache
In this article we'll present an elementary proof of a theorem of Alexandru Pantazi (1896-1948), Romanian mathematician, regarding the bi-orthological triangles.