平面运动学位似运动Steiner公式的推广

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Generalization of Steiner Formula for the Homothetic Motions on the Planar Kinematics

Department of Mathematics, Science and Arts Faculty, Ondokuz May Is University, Kurupelit 55139, Samsun, Turkey

摘要: 对单参数闭平面复意义位似运动,给出了Müller提出的Steiner公式和混合面公式的表达式。利用推广的Steiner公式得到了位似运动的Holditch定理。作为特例,给出了Müller位似比h≡1时的结果。
- 位似运动 /
- Steiner公式 /
- Holditch定理
Abstract: The Steiner formula and the mixture area formula given by Mller were expressed under the l-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≡l the results given by Mller are obtained as aspecial case.
- homothetic motion /
- Steiner formula /
- Holditch theorem

[1]	Spivak M.Calculus on Manifolds[M].New York:W A Benjamin,1965.
[2]	Müller H R.Verallgemeinerung einer formel von Steiner[J].Abh d Brschw Wiss Ges,1978,24:107-113.
[3]	Holditch A.Ladies and gentleman's diary for the year 1858[Z].