pThis book offers an introduction to some combinatorial also, set-theoretical approaches and methods in geometry of the Euclidean space bRbimi. The topics discussed in the manuscript are due to the field of combinatorial and convex geometry. ppThe author's primary intention is to discuss those themes of Euclidean geometry which might be of interest to a sufficiently wide audience of potential readers. Accordingly, the material is explained in a simple and elementary form completely accessible to the college and university students. At the same time, the author reveals profound interactions between various facts and statements from different areas of mathematics the theory of convex sets, finite and infinite combinatorics, graph theory, measure theory, classical number theory, etc. ppAll chapters and also the five Appendixes end with a number of exercises. These provide the reader with some additional information about topics considered in the main text of this book. Naturally, the exer