Publication: Holditch theorem and Steiner formula for the planar hyperbolic motions
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Date
2009
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Birkhauser Verlag Basel
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. © 2019 Elsevier B.V., All rights reserved.