Generalization of Steiner formula for the homothetic motions on the planar kinematics

KURUOGLU, N; Duldul, Mustafa; TUTAR, A

doi:10.1007/bf02446500

Generalization of Steiner formula for the homothetic motions on the planar kinematics

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KURUOGLU N., Duldul M. , TUTAR A.

APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, vol.24, no.8, pp.945-949, 2003 (Journal Indexed in SCI)

Publication Type: Article / Article
Volume: 24 Issue: 8
Publication Date: 2003
Doi Number: 10.1007/bf02446500
Title of Journal : APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
Page Numbers: pp.945-949

Abstract

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