1 Logical systems and basic laws of reasoning 2 Special topics of axiomatic Geometry 3 Menelaus' and ceva's theorems 4 Harmonic elements and cross ration 5 Inversion theory 6 Projection, invariants, and other unifying concepts 7 Basic axioms, duality Desargues theorem and perspective figures 8 Projective theory of harmonic elements additional axioms 9 Perspective ,projectivities and projective theory of conics 10 Coordinate projective geometry 11 Transformation theory 12 Early axiomatic theories and later metric approach to non- Euclidean geometry 13 Parabolic geometry 14 Hyperbolic geometry 15 Elliptic geometry