Reissued in the Oxford Classic Texts in the Physical Sciences series, and first published in 1952, this book has been recommended to generations of students. It provides a clear and systematic introduction to projective geometry, building on concepts from linear algebra. " [Topics are] presented with a simplicity and clarity of treatment ... This interesting book may be warmly recommended." Mathematical Gazette

Part 1: The Origins and Development of Geometrical Knowledge 1. The concept of geometry 2. The analytical treatment of geometry Part 2: Abstract Projective Geometry 3. Projective geometry of one dimension 4. Projective geometry of two dimensions 5. Conic logic and conic envelopes 6. Further properties of conics 7. Linear systems of conics 8. Higher correspondences: apolarity, and the theory of invariants 9. Transformations of the plane 10. Projective geometry of three dimensions 11. The quadric 12. The twisted cubic curve and cubic surfaces 13. Linear systems of quadrics 14. Linear transformations of space 15. Line geometry 16. Projective geometry of n dimensions

J. G. Semple , late Professor Emeritus, King's College, London, G. T. Kneebone , formerly Reader in Mathematics, Royal Holloway and Bedford College, London

`[Topics are] presented with a simplicity and clarity of treatment... This interesting book may be warmly recommended.' Mathematical Gazette