In this study, we define the elliptic biquaternions and construct the algebra of elliptic
biquaternions over the elliptic number field. Also we give basic properties of elliptic …

In this study, firstly, we show that the multiplication of two elliptic biquaternions is
commutative in which case. Afterwards, we give some properties of elliptic biquaternions …

In this paper, firstly, we calculate Cauchy-length formula for the one-parameter planar
motion in generalized complex plane Cp which is generalization of the complex, dual and …

In this study, the planar kinematics has been studied in a generalized complex plane which
is a geometric representation of the generalized complex number system. Firstly, the planar …

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 …

In this paper we present a certain modification of the Holditch construction. This construction
allows to consider a geometric family of pairs of ring domains. It is proved that the ratio of …

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 C_p were …

In the early 2000s, the geometry of a one-parameter family of generalized complex number
systems was studied (Math. Mag. 77 (2)(2004)). This family is denoted by Cp. It is well …

In this study, the planar kinematics is studied in generalized complex plane which is a
geometric representation of the generalized complex number system. Firstly, the one …

In this study, we give the Cauchy-length formula for the homothetic motions in generalized
complex plane Cp and we express a geometric interpretation of this formula when this …