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

Güngör, Mehmet Ali

dc.contributor.authors	Erisir, T; Gungor, MA;
dc.date.accessioned	2020-01-17T08:21:43Z
dc.date.available	2020-01-17T08:21:43Z
dc.date.issued	2018
dc.identifier.citation	Erisir, T; Gungor, MA; (2018). The Cauchy-Length Formula and Holditch Theorem in the Generalized Complex Plane C-p. INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY, 11, 119-111
dc.identifier.issn	1307-5624
dc.identifier.uri	https://hdl.handle.net/20.500.12619/6110
dc.description.abstract	In this paper, firstly, we calculate Cauchy-length formula for the one-parameter planar motion in generalized 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 the Holditch theorem for the non-linear three points with the aid of the length of the enveloping trajectories in C-p. So, the Holditch theorem for the linear three points which is given by Erisir et al. in C-p is generalized for trajectories drawn by the non-linear three points in generalized complex plane C-p.
dc.language	English
dc.publisher	INT ELECTRONIC JOURNAL GEOMETRY
dc.subject	Mathematics
dc.title	The Cauchy-Length Formula and Holditch Theorem in the Generalized Complex Plane C-p
dc.type	Article
dc.identifier.volume	11
dc.identifier.startpage	111
dc.identifier.endpage	119
dc.contributor.department	Sakarya Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü
dc.contributor.saüauthor	Güngör, Mehmet Ali
dc.relation.journal	INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY
dc.identifier.wos	WOS:000448884100014
dc.contributor.author	Güngör, Mehmet Ali