Generalization of Steiner formula for the homothetic motions on the planar kinematics

被引：1

作者：

Kuruoglu, N ^{[1
]}

Düldül, M ^{[1
]}

Tutar, A ^{[1
]}

机构：

[1] Ondokuz Mayis Univ, Sci & Arts Fac, Dept Math, TR-55139 Kurupelit, Samsun, Turkey

来源：

APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2003年 / 24卷 / 08期

关键词：

homothetic motion; Steiner formula; Holditch theorem;

D O I：

10.1007/BF02446500

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Steiner formula and the mixture area formula given by Muller were expressed under the one-parameter closed planar homothetic motions in the complex sense. Also, using the generalization of Steiner formula, the result of Holditch theorem for homothetic motions is got. In the case of the homothetic scale h = 1 the results given by Muller are obtained as a special case.

引用

页码：945 / 949

页数：5

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