The Second Postulate of Euclid and the Hyperbolic Geometry
General Mathematics
2017-06-27 v1
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.
Keywords
Cite
@article{arxiv.1706.08378,
title = {The Second Postulate of Euclid and the Hyperbolic Geometry},
author = {Yuriy Zayko},
journal= {arXiv preprint arXiv:1706.08378},
year = {2017}
}
Comments
7 pages, 1 figure, presented to the Saratov Fall Meetings'2017 (School of Young Scientist, To be held in Sept 2017)