平面运动学位似运动Steiner公式的推广

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

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。

The Steiner formula and the mixture area formula given by Müller were expressed under the 1_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 Müller are obtained as a special case.