I just have started to read Elements of Programming by Stepanov and McJones, and in the preface they explained that the the book requires a basic algebra knowledge and they recommended G. Chrystal's Algebra book as a nice refresher. Looking at the comments in Amazon and on some other places I realized that this is some very classical book about elementary algebra, famous for its rigor and difficulty despite that it covers algebra material typically taught in high school.
Then I started to wonder whether there exists such a classical book for the Euclidean geometry taught in high school. I mean a book which cover all or at least the most of high school's geometry, but with more rigor and details than typical modern classes. Maybe Euclid's Elements is an obvious answer, but I hope for something a bit more modern. :)
David Hilbert. Foundations Of Geometry.
Donald Coxeter. Introduction To Geometry.