Title: The Second Postulate of Euclid and the Hyperbolic Geometry,
Abstract: The article deals with the connection between the second postulate of Euclid
and non-Euclidean geometry. It is shown that the violation of the second
postulate of Euclid inevitably leads to hyperbolic geometry. This eliminates
misunderstandings about the sums of some divergent series. The connection
between hyperbolic geometry and relativistic computations is noted.