Geometric relations in an arbitrary metric space 

Author 
vikuzmichksu@gmail.com^{1}, savchenko.o.g@ukr.net^{2}
1) Kherson State University, Kherson, Ukraine; 2) Kherson State Agrarian University, Kherson, Ukraine

Abstract 
The paper is devoted to individual elements of metric geometry. Analytical relations are
considered that concern the distances between points of a metric space and have a definite
geometric interpretation. These relations are established on the basis of the concept of angle as
an ordered triple of points of a metric space, its numerical characteristic, and are carried out
in Euclidean geometry. It is shown that these relations are satised for points of an arbitrary
metric space.

Keywords 
metric space; angle in the metric space; straightlinearly placement of points of metric space;
straightlinearly ordered placement of points of metric space; planar placement of points of metric space

DOI 
doi:10.30970/ms.52.1.7685

Reference 
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Pages 
8695

Volume 
52

Issue 
1

Year 
2019

Journal 
Matematychni Studii

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