A New Generalization of the Steiner Formula and the Holditch Theorem

Tulay Erisir; Güngör, Mehmet Ali; Tosun, Murat

dc.contributor.authors	Erisir, T; Gungor, MA; Tosun, M;
dc.date.accessioned	2020-01-17T08:21:40Z
dc.date.available	2020-01-17T08:21:40Z
dc.date.issued	2016
dc.identifier.citation	Erisir, T; Gungor, MA; Tosun, M; (2016). A New Generalization of the Steiner Formula and the Holditch Theorem. ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 26, 113-97
dc.identifier.issn	0188-7009
dc.identifier.uri	https://hdl.handle.net/20.500.12619/6070
dc.identifier.uri	https://doi.org/10.1007/s00006-015-0559-4
dc.description.abstract	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 formed by points in the generalized complex plane (or p-complex plane). Finally, according to the special values of p = -1, 0, 1 we examined the cases of the Steiner Formula and Holditch Theorem. In this way, for we generalized the Steiner Formula and Holditch theorem consisting the Euclidean , Galilean and Lorentzian cases.
dc.language	English
dc.publisher	SPRINGER BASEL AG
dc.subject	Physics
dc.title	A New Generalization of the Steiner Formula and the Holditch Theorem
dc.type	Article
dc.identifier.volume	26
dc.identifier.startpage	97
dc.identifier.endpage	113
dc.contributor.department	Sakarya Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü
dc.contributor.saüauthor	Güngör, Mehmet Ali
dc.contributor.saüauthor	Tosun, Murat
dc.relation.journal	ADVANCES IN APPLIED CLIFFORD ALGEBRAS
dc.identifier.wos	WOS:000370339300008
dc.identifier.doi	10.1007/s00006-015-0559-4
dc.identifier.eissn	1661-4909
dc.contributor.author	Tulay Erisir
dc.contributor.author	Güngör, Mehmet Ali
dc.contributor.author	Tosun, Murat