## What
is geometry? Physical geometry and mathematical geometry as two

## aspects
of the proper Euclidean geometry.

## Yuri A. Rylov

*Institute for Problems in Mechanics, Russian
Academy of Sciences*

* 101-1 ,Vernadskii Ave., Moscow, 119526, Russia*

* email: rylov@ipmnet.ru*

Web site: http://rsfq1.physics.sunysb.edu/~rylov/yrylov.htm

or mirror Web site: http://gasdyn-ipm.ipmnet.ru/~rylov/yrylov.htm

Updated December 18, 2013

#### abstract

Primordially a
geometry was a science on properties of geometrical objects and their mutual
disposition. Such interpretation of the term "geometry" is qualified
as physical geometry. A use of only Euclidean geometry generated another
interpretation of the term "geometry", which was interpreted as a logical
construction. Such interpretation of the term " geometry" is qualified
as mathematical geometry. Mathematical geometry cannot use for description of
the space-time, generally speaking. Nevertheless the mathematical geometry has
been used for description of the space-time during the twentieth century. This
circumstance lead to problems in general relativity.

There is
text of the paper in English (pdf, ps) and in Russian (ps, pdf)