Geometric relations in an arbitrary metric space
Journal Title: Математичні Студії - Year 2019, Vol 52, Issue 1
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.
Authors and Affiliations
V. I. Kuz’mich, A. G. Savchenko
Keywords
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- EP ID EP673816
- DOI 10.30970/ms.52.1.86-95
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Geometric relations in an arbitrary metric space
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 relation...