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Öğe Computation Of Polar Moments Of Inertia With Holditch Type Theorem(Tsing Hua Univ, Dept Mathematics, 2008) Duldul, Mustafa; Kuruoglu, NuriIn this paper, during the 1-parameter closed planar homothetic motions, the polar moments of inertia for the orbit curves are expressed in the complex plane and the Holditch type theorem for polar moments of inertia is given. In the case of the homothetic scale h equivalent to 1 the results given by [3] are obtained as a special case.Öğe On the intersection curve of three parametric hypersurfaces(Elsevier Science Bv, 2010) Duldul, MustafaIn this paper. the method for computing the Frenet vectors and the curvatures of the transversal intersection curve of three parametric hypersurfaces is given in four-dimensional Euclidean space. (C) 2009 Elsevier B.V. All rights reserved.Öğe Two And Three Dimensional Regions From Homothetic Motions(Tsing Hua Univ, Dept Mathematics, 2010) Duldul, MustafaIn this study, the oriented area of a region swept by a line segment under 1-parameter planar homothetic motions and the volume of the region traced by a fixed rectangle under 1-parameter spatial homothetic motions are studied. Furthermore, the polar moment of inertia of a planar region swept by a line segment under Frenet motion is given.












