"Babes-Bolyai" University of Cluj-Napoca
Faculty of Mathematics and Computer Science
| Complements of Geometry |
ter |
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| Teaching Staff in Charge |
Prof. VARGA Csaba Gyorgy, Ph.D., csvarga cs.ubbcluj.roLect. VACARETU Daniel, vacaretu math.ubbcluj.ro |
| Aims |
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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 |
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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 |
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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 |
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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 |