in this paper, we study cyclic surfaces in 5 1 e generated by homothetic motions of a lorentziancircle. the properties of these cyclic surfaces up to first order are investigated. we show that, as it is shown ine5 , cyclic 2-surfaces in 5 1 e , in general, are contained in canal hypersurfaces. finally, we give an example.

in this paper the concept of homothetic dual exponential motions in d3 is discussed and theirvelocities obtained. due to the way in which the matter is presented, the paper gives some formula and factsabout dual exponential motions which are not generally known

The polar moment of inertia of a closed orbit curve of a point under one-parameter closed planar motions was studied by H. R. Müller, [1]. We study the polar moment of inertia of the enveloping curve of a line under one-parameter closed homothetic motions of planar kinematics. AMS Mathematics Subject Classification (2000): 53A17, 53A04

The volumes of the surfaces of 3-dimensional Euclidean Space which are traced by a fixed point as a trajectory surface during 3-parametric motions are given by H. R. Müller [3], [4], [5] and W. Blaschke [1]. In this paper, the volumes of the trajectory surfaces of fixed points under 3-parametric homothetic motions are computed. Also, using a certain pseudo-Euclidean metric we generalized the we...