Geometric relations in an arbitrary metric space

Author
V. I. Kuzmich1, A. G. Savchenko2
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 satis ed for points of an arbitrary metric space.
Keywords
metric space; angle in the metric space; straight-linearly placement of points of metric space; straight-linearly ordered placement of points of metric space; planar placement of points of metric space
DOI
doi:10.30970/ms.52.1.76-85
Reference
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Pages
86-95
Volume
52
Issue
1
Year
2019
Journal
Matematychni Studii
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