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Applied Mathematics and Mechanics (English Edition) ›› 2003, Vol. 24 ›› Issue (8): 945-949.

• 论文 • 上一篇    下一篇

GENERALIZATION OF STEINER FORMULA FOR THE HOMOTHETIC MOTIONS ON THE PLANAR KINEMATICS

N. Kuruoglu, M. Düldül, A. Tutar   

  1. Department of Mathematics, Science and Arts Faculty, Ondokuz Mayls University, Kurupelit 55139, Samsun, Turkey
  • 收稿日期:2002-05-31 出版日期:2003-08-18 发布日期:2003-08-18

GENERALIZATION OF STEINER FORMULA FOR THE HOMOTHETIC MOTIONS ON THE PLANAR KINEMATICS

N. Kuruoglu, M. Düldül, A. Tutar   

  1. Department of Mathematics, Science and Arts Faculty, Ondokuz Mayls University, Kurupelit 55139, Samsun, Turkey
  • Received:2002-05-31 Online:2003-08-18 Published:2003-08-18

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摘要： The Steiner formula and the mixture area formula given by Müller 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 Müller are obtained as a special case.

Abstract: The Steiner formula and the mixture area formula given by Müller 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 Müller are obtained as a special case.

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