I'm a last year high school student, I'm looking for a "short" (by short I mean, not over 250 pages) Euclidean geometry book that covers topics linked to euclidean geometry of math contests, I have a decent knowledge in the topic thus I'm looking for a book to tackle a bit more advanced stuff. By searching a bit on the internet I found this one book: "Geometry revisited by Coxeter & Greitzer", I've read through the content and it seemed what I was looking for, is the book good for my purpose? any better suggestion?
A great book is
Evan Chen, Euclidean Geometry in Mathematical Olympiads
While something a bit more elementary, but containing some hard problems is
Louridas & Rassias, Problem-Solving and Selected Topics in Euclidean Geometry
A great Dover edition with famous problems and less famous is
Aref & Wernick, Problems and Solutions in Euclidean Geometry
There are two following very good books:
- A.V.Akopyan. Geometry in pictures.
2.V.V.Prasolov. Problems in Plane Geometry.
I haven't read the book myself, but a former participant in the International Mathematical Olympiads that I am acquainted with suggested Plane Euclidean Geometry: Theory and Problems, by A. D. Gardiner and C. J. Bradley, a suggestion which is also given here.