I was recently reading about hyperbolic geometry and its models, so, I was wondering, do you know a book, an article, some classnotes, etc, wich contain a theorem or something that prove(s) that Klein model verifies hyperbolic geometry axioms? I know it's a model so it must verify the axioms but do you know where is written proof of this statement?
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1See any introductory textbook on hyperbolic geometry. Answers to this question include a number of good reference. – Blue Oct 03 '18 at 02:35