In this paper, we introduce one-parameter homothetic motions in the generalized complex
number plane (p p-complex plane) C _ J=\left {x+ Jy:\,\,\, x, y ∈ R,\quad J^ 2= p,\quad p ∈ …

In this paper, we have introduced elliptical harmonic motion in terms of elliptical numbers. In
addition, we have found the relationships between the absolute, the relative and the sliding …

Split-complex (hyperbolic) numbers are ordered pairs of real numbers, written in the form $
x+ jy $ with $ j^{2}=-1$, used to describe the geometry of the Lorentzian plane. Since a null …

Cp. Then, Holditch-type theorem that express the relationship among the polar moments of
inertia of points has been given for homothetic motion in Cp. Moreover, the some geometric …

Split-complex (hyperbolic) numbers are ordered pairs of real numbers, written in the form x+
jy with j (2)-1, used to describe the geometry of the Lorentzian plane. Since a null split …

This study deals with hyperbolic number forms of the Euler-Savary Equation (ESE) that find
one of the four points on a pole ray, provided the other three are known. These hyperbolic …

In this study, we consider the generalized complex number system C_ {p}={x+ iy: x, y∈ R, i²=
p∈ R} corresponding to elliptical complex number, parabolic complex number and …

Bu makalede, hiperbolik düzlemde iki parametreli homotetik hareketler araştırıldı. Aynı
zamanda∀(𝜆, 𝜇) konumunda iki parametreli hiperbolik homotetik hareketin sürüklenme …

In this study, we generalize the well-known formulae of de-Moivre and Euler of hyperbolic
numbers to dual-hyperbolic numbers. Furthermore, we investigate the roots and powers of a …

In this study, we define a base curve, a rolling curve and a roulette on generalized complex
number plane (p-complex plane) C_J. We examine the third one of these curves under the …