The Alpha Distance Formulae

Authors : Harun Barış Çolakoğlu

Pages : 60-71

Doi:10.54974/fcmathsci.1312895

View : 31 | Download : 42

Publication Date : 2024-07-31

Article Type : Research Paper

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