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
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
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页码:945 / 949
页数:5
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