Introduction
 Foundations
 The linear groups
 Examples of linear groups
 Isometries of R^{n}
 Isometries of the line
 Isometries of the plane
 Isometries in 3 dimensions
 Symmetry groups in the plane
 Frieze groups
 Platonic solids
 Finite symmetry groups of R^{3}
 Full finite symmetry groups in R^{3}
 Affine geometry
 Affine theorems
 Similarity geometry
 Projective spaces
 Homogeneous coordinates
 Topology of projective spaces
 Projective spaces of vector spaces
 The projective groups
 More projective groups
 Some theorems in plane projective geometry

 Duality
 Conics
 Elliptic geometry
Summary of results
Advanced Topics in Geometry
 Lattices
 The crystallographic restriction
 The point groups
 Shift vectors
 Classification of crystallographic groups
 I: Point group is cyclic
 II: Point group is D_{1}
 III: Other point groups
Geometry quotations
More geometry quotations
