1. komponenta

Lecture type	Total
Lectures	30
Exercises	30

COURSE AIMS AND OBJECTIVES:
To introduce the basic concepts of Euclidian and non-Euclidian geometries.

COURSE DESCRIPTION AND SYLLABUS:
1. Euclidian plane (analytical approach)
2. Equimorfic group. Affine group
3. The group of isometries
4. Geometry on a sphere
5. Distances. Isometries.
6. Sphere trigonometry.
7. Projective plane. Homogeneous coordinates.
8. Desargue and Pappus theorem.
9. Projective group. Polarity.
10. Eliptic plane.
11. Hiperbolic plane.
12. Distances. Isometries.
13. Hiperbolic geometry. Circles.

1. Euclidean and non-Euclidean Geometry - an Analytic Approach, P. J. Ryan, Cambridge University Press, 1991.
2. O euklidskoj i neeuklidskim geometrijama, A. I. Fetisov, Školska knjiga, Zagreb, 1981.

Izborni matematički predmet 5 - Regular study - Mathematics and Physics Education