Holditch Theorem and Steiner Formula for the Planar Hyperbolic Motions

被引：1

作者：

Yuce, Salim ^{[1
]}

Kuruoglu, Nuri ^{[2
]}

机构：

[1] Yildiz Tech Univ, Fac Arts & Sci, Dept Math, TR-34210 Istanbul, Turkey

[2] Univ Bahcesehir, Fac Arts & Sci, Dept Math & Comp Sci, TR-34100 Istanbul, Turkey

来源：

ADVANCES IN APPLIED CLIFFORD ALGEBRAS | 2009年 / 19卷 / 01期

关键词：

Holditch Theorem; hyperbolic motion; hyperbolic numbers;

D O I：

10.1007/s00006-008-0131-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Steiner formula and the Holditch Theorem for one-parameter closed planar Euclidean motions [1, 7] were expressed by H.R. Muller [9] under the one-parameter closed planar motions in the complex sense. In this paper, in analogy with complex motions as given by Muller [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.

引用

页码：155 / 160

页数：6

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