Holditch Theorem and Steiner Formula for the Planar Hyperbolic Motions

. 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...

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Bibliographic Details
Published in:Advances in applied Clifford algebras 2009-02, Vol.19 (1), p.155-160
Main Authors: Yüce, Salim, Kuruoğlu, Nuri
Format: Article
Language:English
Subjects:
Applications of Mathematics
Mathematical and Computational Physics
Mathematical Methods in Physics
Physics
Physics and Astronomy
Theoretical
Online Access:Get full text
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Summary:. 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.
ISSN:0188-7009
1661-4909
DOI:10.1007/s00006-008-0131-6