Babes-Bolyai University of Cluj-Napoca
Faculty of Mathematics and Computer Science
Study Cycle: Graduate

SUBJECT

Code
Subject
MG009 Complements of Geometry
Section
Semester
Hours: C+S+L
Category
Type
Mathematics - in Hungarian
7
2+2+0
optional
Mathematics - in Romanian
8
2+2+0
optional
Mathematics-Computer Science - in Hungarian
7
2+2+0
optional
Mathematics-Computer Science - in Romanian
8
2+2+0
optional
Teaching Staff in Charge
Prof. VARGA Csaba Gyorgy, Ph.D.,  csvargacs.ubbcluj.ro
Lect. VACARETU Daniel,  vacaretumath.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. MIHAILESCU,C., Geometria elementelor remarcabile,Ed.Tehnica,Bucuresti,1957.
7. NICOLESCU, L.-BOSKOFF, V., Probleme practice de geometrie, Editura Tehnica, Bucuresti, 1990
Assessment
30% from the final mark is the activity during one semester
70% from the final mark is the mark from a written test.
Links: Syllabus for all subjects
Romanian version for this subject
Rtf format for this subject