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

N. Kuruoglu; M. Dldl; A. Tutar

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N. Kuruoglu, M. Dldl, A. Tutar, . Generalization of Steiner Formula for the Homothetic Motions on the Planar Kinematics[J]. Applied Mathematics and Mechanics, 2003, 24(8): 835-838.

Citation:

N. Kuruoglu, M. Dldl, A. Tutar, . Generalization of Steiner Formula for the Homothetic Motions on the Planar Kinematics[J]. Applied Mathematics and Mechanics, 2003, 24(8): 835-838.

Citation:

N. Kuruoglu, M. Dldl, A. Tutar, . Generalization of Steiner Formula for the Homothetic Motions on the Planar Kinematics[J]. Applied Mathematics and Mechanics, 2003, 24(8): 835-838.

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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

Received Date: 2002-05-31
Publish Date: 2003-08-15

Abstract

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

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References(3)

References

[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].