Ion Patrascu, Florentin Smarandache
The idea of this book came up when writing our previous book, “The Geometry of Homological Triangles” (2012). As there, we try to graft on the central theme, of the orthological triangles, many results from the elementary geometry. In particular, we approach the connection between the orthological and homological triangles; also, we review the "S" triangles, highlighted for the first time by the great Romanian mathematician Traian Lalescu. The book is addressed to both those who have studied and love geometry, as well as to those who discover it now, through study and training, in order to obtain special results in school competitions. In this regard, we have sought to prove some properties and theorems in several ways: synthetic, vectorial, analytical.
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