CHAPTER 2. THE NEUTRAL GEOMETRY
OF THE TRIANGLE
1.Introduction
2.Preliminaries
3.Propositions
1 - 28
CHAPTER 3. NON-NEUTRAL GEOMETRY
1.Parallelism
2.Area
3.The
Theorem of Pythagoras
4.Consequences
of the Theorem of Pythagoras (optional)
CHAPTER 4. CIRCLES
1.The
Neutral Geometry of Circles
2.The
Non-neutral Theory of Circles (Inscribed Angles and Polygons)
3.The
Non-neutral Theory of Circles (Cirumference and Area)
CHAPTER 5. TOWARDS PROJECTIVE GEOMETRY
1.Division
of Line segments
2.Collinearity
and Concurrence
3.The
Projective Plane
CHAPTER 6. PLANE SYMMETRIES
1.Rigid
Motions of the Plane
2.Symmetries
of Polygons
3.Frieze
Patterns
4.Wallpaper
Designs
CHAPTER 7. SPATIAL SYMMETRIES
1.The
regular and Semiregular Solids
2.Symmetries
of Solids