By Robin Hartshorne. This text/supplement is designed for a one-semester course in projective geometry on the senior or early graduate level. The book incorporates a synthetic approach starting with axioms from which the abstract theory is induced, and an approach which takes the real projective plane as a model and uses Euclidean and analytic geometry to make deductions. The first method becomes more specialized while the second is gradually generalized until the two coincide.
I very much enjoyed this clear, concise and self-contained introduction to projective geometry. The connections between transformation groups, configurations and properties of algebraic objects are made explicit.