The Alpha Distance Formulae

Year 2024, Volume: 5 Issue: 2, 60 - 71, 31.07.2024

Harun Barış Çolakoğlu

https://doi.org/10.54974/fcmathsci.1312895

Abstract

In this study, we define the concept of tangent in two and three-dimensional alpha spaces concerning the alpha circles and the alpha spheres. Then using this concept, we derive the alpha distance formulae between points, a point and a line, between two lines and a point and a plane of the alpha spaces. Finally, we give simple area and volume formulas in the three dimensional space in terms of the alpha distances.

Keywords

Alpha metric , distance formula , metric geometry

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