The Cauchy-Length Formula and Holditch Theorem in the Generalized Complex Plane C p

Erişir, Tülay; Gungor, Mehmet Ali

The Cauchy-Length Formula and Holditch Theorem in the Generalized Complex Plane C p

Tülay ERİŞİR, (Erzincan Binali Yıldırım Üniversitesi, Matematik Bölümü, Erzincan Türkiye)

Mehmet Ali GÜNGÖR (Sakarya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü, Sakarya, Türkiye)

International Electronic Journal of Geometry

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Yıl: 2018 Cilt: 11 Sayı: 2 Sayfa Aralığı: 111 - 119 Metin Dili: İngilizce İndeks Tarihi: 01-08-2019

The Cauchy-Length Formula and Holditch Theorem in the Generalized Complex Plane C p

Öz:

In this paper, firstly, we calculate Cauchy-length formula for the one-parameter planar motion ingeneralized complex plane C p which is generalization of the complex, dual and hyperbolic planes.Then, we give the length of the enveloping trajectories of lines C p . In addition, we prove theHolditch theorem for the non-linear three points with the aid of the length of the envelopingtrajectories in C p . So, the Holditch theorem for the linear three points which is given by Erişir et al.in C p is generalized for trajectories drawn by the non-linear three points in generalized complexplane C p .

Anahtar Kelime:

Konular: Matematik

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

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APA	Erişir T, Gungor M (2018). The Cauchy-Length Formula and Holditch Theorem in the Generalized Complex Plane C p. , 111 - 119.
Chicago	Erişir Tülay,Gungor Mehmet Ali The Cauchy-Length Formula and Holditch Theorem in the Generalized Complex Plane C p. (2018): 111 - 119.
MLA	Erişir Tülay,Gungor Mehmet Ali The Cauchy-Length Formula and Holditch Theorem in the Generalized Complex Plane C p. , 2018, ss.111 - 119.
AMA	Erişir T,Gungor M The Cauchy-Length Formula and Holditch Theorem in the Generalized Complex Plane C p. . 2018; 111 - 119.
Vancouver	Erişir T,Gungor M The Cauchy-Length Formula and Holditch Theorem in the Generalized Complex Plane C p. . 2018; 111 - 119.
IEEE	Erişir T,Gungor M "The Cauchy-Length Formula and Holditch Theorem in the Generalized Complex Plane C p." , ss.111 - 119, 2018.
ISNAD	Erişir, Tülay - Gungor, Mehmet Ali. "The Cauchy-Length Formula and Holditch Theorem in the Generalized Complex Plane C p". (2018), 111-119.

APA	Erişir T, Gungor M (2018). The Cauchy-Length Formula and Holditch Theorem in the Generalized Complex Plane C p. International Electronic Journal of Geometry, 11(2), 111 - 119.
Chicago	Erişir Tülay,Gungor Mehmet Ali The Cauchy-Length Formula and Holditch Theorem in the Generalized Complex Plane C p. International Electronic Journal of Geometry 11, no.2 (2018): 111 - 119.
MLA	Erişir Tülay,Gungor Mehmet Ali The Cauchy-Length Formula and Holditch Theorem in the Generalized Complex Plane C p. International Electronic Journal of Geometry, vol.11, no.2, 2018, ss.111 - 119.
AMA	Erişir T,Gungor M The Cauchy-Length Formula and Holditch Theorem in the Generalized Complex Plane C p. International Electronic Journal of Geometry. 2018; 11(2): 111 - 119.
Vancouver	Erişir T,Gungor M The Cauchy-Length Formula and Holditch Theorem in the Generalized Complex Plane C p. International Electronic Journal of Geometry. 2018; 11(2): 111 - 119.
IEEE	Erişir T,Gungor M "The Cauchy-Length Formula and Holditch Theorem in the Generalized Complex Plane C p." International Electronic Journal of Geometry, 11, ss.111 - 119, 2018.
ISNAD	Erişir, Tülay - Gungor, Mehmet Ali. "The Cauchy-Length Formula and Holditch Theorem in the Generalized Complex Plane C p". International Electronic Journal of Geometry 11/2 (2018), 111-119.