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A generalization of the Holditch Theorem for the planar homothetic motions
Authors:Salim Yüce  Nuri Kuruoğlu
Affiliation:(1) Department of Mathematics, Ondokuz May"imath"s University, Science and Arts Faculty, 55139 Kurupelit, Samsun, Turkey;(2) Department of Mathematics and Computer Sciences, Bahcesehir University, Science and Arts Faculty, 34538 Bahcesehir, Istanbul, Turkey
Abstract:
In this paper, under the one-parameter closed planar homothetic motion, a generalization of Holditch Theorem is obtained by using two different line segments (with fixed lengths) whose endpoints move along two different closed curves.This revised version was published online in April 2005 with a corrected missing date string.
Keywords:Steiner formula  Holditch Theorem  homothetic motion
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