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I want to study geometry and was looking for some book that has lots of theorems and covers almost all Euclidean geometry that is needed for High School and Maths Olympiads. Thanks.

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Not a book, but I suppose you've seen gogeometry. –  David Mitra Jan 1 at 11:02
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Didn't Euclid write one? –  dfeuer Jan 1 at 12:23

3 Answers 3

Probably on of the best problem book which covers geometry, especially recommended for olympiads: http://students.imsa.edu/~tliu/Math/planegeo.pdf

http://www-math.mit.edu/~kedlaya/geometryunbound/geom-080399.pdf (contains many important synthetic methods with a bunch of exercises and examples).

http://hoaxung.files.wordpress.com/2010/04/marko-radovanovic-complex-numbers-in-geometry.pdf (great article which covers complex numbers stuff)

http://hoaxung.files.wordpress.com/2010/04/inversion_ddj-dusan-djukic.pdf (inversion)

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I dont want a problem book but instead some book that explains all of geometry...Although the problem book you have suggested is quite superb. –  shaurya gupta Jan 4 at 10:00

You can check following books:
1-Challenging Problems in Geometry
2-Geometry Revisited
3-Geometry Unbound

I actually got the links from artofproblemsolving site. You can find plenty of online material out there even on spesific topics of geometry.
Furthermore, it is highly curical that what level you are. You need to consider how much you studied and how far you want to go in geometry. Then, you need to pick carefully the book you want to study, regarding that information. Good luck.

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Although I know high school geometry, think of me as a person who does not even know what geometry means. –  shaurya gupta Jan 1 at 14:05
    
The definition of your geometry level is pretty complicated. Nevertheless, you should first master on "proving things". I strongly suggest you to go through the proofs of elementary theorems in geometry. When you understand those proofs, you will feel stronger about geometry. You should take your time and digest them patiently. Then you may start solving olympiad problems. –  iamvegan Jan 1 at 14:34
    
Yes, that is what I want.Something with proofs of elementary theorems. –  shaurya gupta Jan 1 at 15:04
    
So i may suggest you the first three chapters of geometry revisited. you can find some free djvu format from web. –  iamvegan Jan 1 at 15:18

The best geometry book I know: http://www.mccme.ru/~akopyan/papers/EnGeoFigures.pdf

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That's nice, but do you know about some book that has quite a lot of geometry explained in a superb way... –  shaurya gupta Jan 4 at 10:04

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