The Geometry of The Orthological Triangles

By Patrascu, Ion

Book Id: WPLBN0100302622
Format Type: PDF eBook:
File Size: 2.27 MB
Reproduction Date: 5/3/2020

Title:	The Geometry of The Orthological Triangles
Author:	Patrascu, Ion
Volume:
Language:	English
Subject:	Non Fiction, Science, Geometry
Collections:	Authors Community
Historic Publication Date:	2020
Publisher:

Member Page:	Infinite Science
Citation APA MLA Chicago Patrascu, B. I., & Smarandache, F. (2020). The Geometry of The Orthological Triangles. Retrieved from http://www.gutenberg.cc/

Description
Geometry, Orthological Triangles, Tangential Triangle, Contact Triangle, Cotangent Triangle, Anti-Supplementary Triangle, Podal Triangle, Three Images Triangle, Cyclocevian Triangle, Fuhrmann Triangle, Degenerate Triangles, Orthopole, Simson Line, Orthology Center, Reciprocal Polar Triangles, Bilogical Triangles, Orthohomological Triangles, Barycentric Coordinates, Similarity, Miquel’s Point.

Summary
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.