Nemeuklideszi és projektív geometria

1. Axioms and dimension of a projective geometry
2. Desargues' and Pappus' theorem
3. Fundamental Theorem for Projectivities on a Line and Pappus' theorem
4. Projective spaces P(V)
5. Cross ratio and projectivities on a line
6. The algebra of points on a line
7. Spherical trigonometry
8. Locus problems on the sphere
9. Models of the hyperbolic geometry and the connection between them
10. Distance, angle and area in hyperbolic geometry
11. Hyperbolic coordinate systems, n-dimensional hyperbolic volume
12. Thurston geometries