Revolutions of geometry

pt. I. Foundations. 1. The first geometers

2. Thales

3. Plato and Aristotle

pt. II. The golden age. 4. Pythagoras

5. Euclid

6. Archimedes

pt. III. Enlightenment. 7. François Viète

8. René Descartes

9. Gérard Desargues

pt. IV. A strange new world. 10. Giovanni Saccheri

11. Johann Lambert

12. Nicolai Lobachevski and János Bolyai

pt. V. New directions. 13. Bernhard Riemann

14. Jean-Victor Poncelet

15. Felix Klein.