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GENERALIZATION OF STEINER FORMULAFOR THE HOMOTHETIC MOTIONS ONTHE PLANAR KINEMATICS
引用本文:M.Düldül. GENERALIZATION OF STEINER FORMULAFOR THE HOMOTHETIC MOTIONS ONTHE PLANAR KINEMATICS[J]. 应用数学和力学(英文版), 2003, 24(8): 945-949. DOI: 10.1007/BF02446500
作者姓名:M.Düldül
作者单位:Department of Mathematics,Science and Arts Faculty,Ondokuz Mayis University,Kurupelit 55139,Samsun,Turkey,Department of Mathematics,Science and Arts Faculty,Ondokuz Mayis University,Kurupelit 55139,Samsun,Turkey,Department of Mathematics,Science and Arts Faculty,Ondokuz Mayis University,Kurupelit 55139,Samsun,Turkey
摘    要:The Steiner formula and the mixture area formula given by M(U|¨)ller 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 M(U|¨)ller are obtained as a special case.

收稿时间:2002-05-31

Generalization of Steiner formula for the homothetic motions on the planar kinematics
N. Kuruoğlu,M. Düldül,A. Tutar. Generalization of Steiner formula for the homothetic motions on the planar kinematics[J]. Applied Mathematics and Mechanics(English Edition), 2003, 24(8): 945-949. DOI: 10.1007/BF02446500
Authors:N. Kuruoğlu  M. Düldül  A. Tutar
Affiliation:Department of Mathematics, Science and Arts Faculty, Ondokuz Mayas University, Kurupelit 55139, Samsun, Turkey
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.
Keywords:homothetic motion  Steiner formula  Holditch theorem
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