The author presents the Lobachevsky geometry on the basis of school absolute geometry axiomatics and the Lobachevsky axiom. The first part of the book focuses on the Lobachevsky plane geometry, and the second one on the stereometry. Each chapter contains problems; the answers and guidance to them are given in the appendix. This book differs favorably from the other tutorials on the Lobachevsky geometry. The book can be successfully used by teacher training and university students and teachers. It will also be useful to high school mathematics teachers in arranging individual work with students interested in mathematics.
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