ISOSCELES TRIANGLES ON THE SIDES OF A TRIANGLE
Journal Title: Human Research in Rehabilitation - Year 2019, Vol 9, Issue 1
Abstract
Famous construction of Fermat-Toricelly point of a triangle leads to the question is there a similar way to construct other isogonic centers of a triangle in a similar way. For a purpose we remember that Fermat-Torricelli point of a triangle ΔABC is obtained by constructing equilateral triangles outwardly on the sides AB,BC and CA. If we denote thirth vertices of those triangles by C1 ,A1 and B1 respectively, then the lines AA1 ,BB1 and CC1 concurr at the Fermat-Torricelli point of a triangle ΔABC (Van Lamoen, 2003). In this work we present the condition for the concurrence, of the lines AA1 ,BB1 and C1 , where C1 ,A1 and B1 are the vertices of an isosceles triangles constructed on the sides AB,BC and CA (not necessarily outwordly) of a triangle ΔABC. The angles at this work are strictly positive directed so we recommend the reader to pay attention to this fact.
Authors and Affiliations
Sead Rešić, Alma Šehanović, Amila Osmić
Keywords
Related Articles
- EP ID EP557014
- DOI 10.21554/hrr.041915
- Views 103
- Downloads 0
PERFECTIONISM AT YOUNGER ADOLESCENTS: ASSOCIATIONS WITH DIFFERENT ASPECTS OF ANXIETY
Although it has been determined that childhood and adolescence are the most important periods for the development of perfectionism, there are few empirical data on perfectionism in general, as well as on its relation to...
PSYCHO-SOCIOLOGICAL PERSONALITY TRAITS OF SEXUAL OFFENDERS
Criminality is an extremely heterogeneous social phenomenon that includes various kinds of deviant behavior. It also includes sexual criminality (crimes against sexual freedom and moral), which has highly negative impact...
INTERDISCIPLINARY APPLICATION OF ALGORITHMS FOR DATA MINING
Interdisciplinary application of data mining is linked with the ability to receive and process the large amounts of data. Although even the first computers could help in executing the tasks that required accuracy and re...
BOSNIAN LINGUISTIC USAGES IN THE LITERARY LANGUAGE OF SKENDER KULENOVIĆ
After quite a long period of time, there appeared another scientifically researched book on yet another famous and significant Bosnian-Herzegovinian author. A young Doctor of Philosophy in the fields of philology and l...
LEARNING STRATEGIES IN HIGH SCHOOL STUDENTS - DIFFERENCES WITH RESPECT TO AGE AND TYPE OF SECONDARY SCHOOL
The aim of this study was to determine the level of development of learning strategies in high school students with respect to the age of students and type of high school they attend. We tried to answer the question of w...