Eдно обобщение на ортоцентричния триъгълник
A Generalization of the Orthocentric Triangle
Author(s): Haim HaimovSubject(s): Social Sciences, Education, School education, Vocational Education, Adult Education, Higher Education
Published by: Национално издателство за образование и наука „Аз-буки“
Keywords: generalization of the orthic triangle; perspective triangle; perspector; notable points
Summary/Abstract: The author proposes a generalization of the orthic triangle. The generalized triangle is defined by an arbitrary point of Ceva P and it is in perspective with the reference triangle ABC . We call it the H − triangle of point P . We call the H − transform of point P the mapping which assigns to point P the perspector of the H − triangle of point P and triangle ABC . We show that the H − transform is composition of two known transforms: the complement and the isogonal conjugate. We identify the images of a few remarkable points under the H − transform. The results in this paper could be used for testing of the computer program “Discoverer”.
Journal: Математика и информатика
- Issue Year: 58/2015
- Issue No: 6
- Page Range: 616-620
- Page Count: 5
- Language: Bulgarian
- Content File-PDF