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?
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1$\begingroup$ See my FAQ for a few suggestions (Honsberger is a fun read, Altshiller-Court is comprehensive and systematic, Johnson is somewhat obsolete but has some gems), but keep in mind that several new books have come out since 2006 (in particular, Hadamard's Planimetry in English with 2-3 companion volumes containing problems and solutions). $\endgroup$– darij grinbergCommented Jan 4, 2019 at 13:28
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3 Answers
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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
answered Jan 4, 2019 at 18:23
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1$\begingroup$ while EGMO is a fantastic book, it's slightly over OP's request of 250 pages. I still think it's worth a read though $\endgroup$ Commented Jan 4, 2019 at 21:37
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There are two following very good books:
- A.V.Akopyan. Geometry in pictures.
2.V.V.Prasolov. Problems in Plane Geometry.
answered Jan 4, 2019 at 17:39
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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.
answered Jan 4, 2019 at 13:26