Here you can find what was done in the lectures, and from time to time also what is planned for upcoming lectures.
Chapter 24.3 - 24.4 Hyperbolic parallel postulate. Defect of a triangle. Collapse of similarity theory.
Chapter 24.2 Critical parallels. Open triangles.
Problem session Student presentation (PDF), and some new problems (PDF).
Chapter 24.1 The critical function.
Chapter 12.1 - 12.3 Proportionalities. Similarities between triangles. The Pythagorean Theorem.
Exam Problems (PDF) and suggested solutions (PDF).
Chapter 11.3 - 11.4 The basic similarity theorem.
Problem session Student presentations (PDF), and some new problems (PDF).
Chapter 11.1 - 11.2 Uniqueness of parallels. Parallel projections.
Chapter 10.3 - 10.4 Saccheri quadrilaterals. Angle-sum in a triangle.
Chapter 8, 10.1 - 10.3 The synthetic approach. Absolute plane geometry. Saccheri quadrilaterals.
Problem session Student presentation, and some new problems (PDF).
Chapter 7 Geometric inequalities.
Chapter 6.4 - 6.5 Independence of the SAS postulate. Consequences of the SAS postulate.
Chapter 6.1 - 6.2 Congruence of triangles. The SAS postulate and friends.
Problem session Student presentations, and some new problems (PDF).
Chapter 5 Angular measure (self-study).
Exam Problems (PDF) and suggested solutions (PDF).
Chapter 9 Models. Hyperbolic geometry.
Chapter 4.4 - 4.5 Quadrilaterals. Separation in space.
Chapter 4.2 - 4.3 Discussed Postulate of Pasch. More on incidence theorems.
Problem session Student presentations, and some new problems (PDF).
Chapter 4.1 - 4.2 Convexity and separation. Incidence theorems.
Chapter 3.5 - 3.6 Definitions of angles and triangles. Congruence of segments.
Chapter 3.3 - 3.5 Betweenness. Definitions of lines, rays and segments.
Problem session Discussed homework and worked on some new problems (PDF).
Chapter 3.1 - 3.3 Functions, and in particular the distance function.
Chapter 2 Introduction to the course. Incidence geometry.