Browsing Matematik / Mathematics by Author "Erisir, T; Gungor, MA; Tosun, M;"

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A New Generalization of the Steiner Formula and the Holditch Theorem

Tulay Erisir; Güngör, Mehmet Ali; Tosun, Murat (SPRINGER BASEL AG, 2016)

In this study, we first obtained the Steiner area formula in the generalized complex plane. Then, with the aid of this formula, we determined a new approach for the Holditch theorem giving the relationship between the areas ...
Geometry of the Hyperbolic Spinors Corresponding to Alternative Frame

Erişir, Tülay; Güngör, Mehmet Ali; Tosun, Murat (SPRINGER BASEL AG, 2015)

In this paper, we study to express the theory of curves including a wide section of Lorentzian geometry in terms of spinors with two hyperbolic components which has an important place in the Clifford algebra. In other ...
The Holditch-Type Theorem for the Polar Moment of Inertia of the Orbit Curve in the Generalized Complex Plane

Tulay Erisir; Güngör, Mehmet Ali; Tosun, Murat (SPRINGER BASEL AG, 2016)

In this study, we first calculate the polar moment of inertia of orbit curves under one-parameter planar motion in the generalized complex plane and then give the Holditch-type theorem for : When the fixed points and on ...