Complements of geometry |
ter |
|||||
Teaching Staff in Charge |
Prof. ANDRICA Dorin, Ph.D., dandrica@math.ubbcluj.ro Assoc.Prof. VARGA Csaba Gyorgy, Ph.D., csvarga@cs.ubbcluj.ro |
Aims |
Some supplementary results suceining the elementary geometry are given. The main topics of the course are very useful for the students becoming tachers in Mathematics. |
Content |
I. An introduction in the triangle and circle geometry : concurencies and colinearities,
metric relations, Lemoine's circles, Tucker's circles,nine points circle, Titeica's five lei coin problem, Simson line, Lalescu's S-triangles. II. Vectorial calculus in geomatry. III.Complex numbers in geometry. |
References |
1.D.Andrica, Cs.Varga, D.Vacaretu, Teme de geometrie, Promedia-Plus, Cluj-Napoca,1997.
2.D.Andrica, Cs.Varga, D.Vacaretu, Teme si probleme alese de geometrie, Ed.Plus, Bucuresti,2002. 3.Andrica,D.,Bisboaca,N.,Numere complexe de la A la Z. Ed.Milenium.Alba Iulia,2001. 4.D.Branzei, col., Planul si spatiul euclidian, Editura Academiei, Bucuresti, 1986. 5.Lalescu,T., Geometria triunghiului,Ed.Tineretului,1958. 6.Mihalescu,c., Geometria elementelor remarcabile,Ed.Tehnica,Bucuresti,1957. 7.Nicolescu, L., Boskoff, V., Probleme practice de geometrie, Editura Tehnica, Bucuresti, 1990 |
Assessment |
Exam. |