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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