Holditch theorem and Steiner formula for the planar hyperbolic motions
Advances in Applied Clifford Algebras, vol.19, no.1, pp.155-160, 2009 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 19 Issue: 1
- Publication Date: 2009
- Doi Number: 10.1007/s00006-008-0131-6
- Journal Name: Advances in Applied Clifford Algebras
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.155-160
- Keywords: Holditch Theorem, Hyperbolic motion, Hyperbolic numbers
- Istanbul Gelisim University Affiliated: Yes
Abstract
The Steiner formula and the Holditch Theorem for one-parameter closed planar Euclidean motions [1, 7] were expressed by H.R. Müller [9] under the one-parameter closed planar motions in the complex sense. In this paper, in analogy with complex motions as given by Müller [9], the Steiner formula and the mixture area formula are obtained under one parameter hyperbolic motions. Also Holditch theorems were expressed in the hyperbolic sense. © 2008 Birkhauser.