Holditch-Type Theorem for Non-Linear Points in Generalized Complex Plane $\mathbb{C}_{p}$

Authors : Tülay ERİŞİR, Mehmet Ali GÜNGÖR

Pages : 239-243

Doi:10.32323/ujma.430853

View : 20 | Download : 9

Publication Date : 2018-12-20

Article Type : Research Paper

Abstract :The generalized complex number system and generalized complex plane were studied by Yaglom [22], [23] and Harkin [7]. Moreover, Holditch-type theorem for linear points in $\mathbb{C}_{p}$ were given by Eri\c{s}ir et al. [6]. The aim of this paper is to find the answers of the questions ``How is the polar moments of inertia calculated for trajectories drawn by non-linear points in $\mathbb{C}_{p}$?``, ``How is Holditch-type theorem expressed for these points in $\mathbb{C}_{p}$?`` and finally ``Is this paper a new generalization of [6]?``.
Keywords : Generalized complex plane, Holditch type theorem, The polar moment of inertia