Yazar "Yüce S." için listeleme
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A generalization of the Holditch Theorem for the planar homothetic motions
Yüce S.; Kuruoğlu N. (Kluwer Academic Publishers, 2005)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 ... -
On polar moments of inertia of Lorentzian circles
Yüce S.; Kuruoğlu N. (2006)In this study, we first compute the polar moment of inertia of orbit curves under planar Lorentzian motions and then give the following theorems for the Lorentzian circles: When endpoints of a line segment AB with length ... -
Some properties of ruled surfaces under homothety in E3
Kasap E.; Yüce S.; Kuruoğlu N. (2002)It is clearly that, If f : E3 ? E3 is a homothety and ? is a surface in three dimensional Euclidean space E3, f(?) = ?? is also a surface in E3. In this paper, the surface ? has been taken a ruled surface, specially. It ... -
The Steiner formulas for the open planar homothetic motions
Yüce S.; Kuruoğlu N. (2006)In this paper, we present the Steiner formula for one-parameter open planar homothetic motions. Using this area formula, the generalization of the Holditch Theorem given by W. Blaschke and H. R. Müller [4, p.142] is expressed ...