(2015). THREE DIMENSIONAL SURFACES OBTAINED BY THE EQUIFORM MOTION OF A SURFACE OF REVOLUTION. test, 44(2), 1-12. doi: 10.21608/aunj.2015.222237
. "THREE DIMENSIONAL SURFACES OBTAINED BY THE EQUIFORM MOTION OF A SURFACE OF REVOLUTION". test, 44, 2, 2015, 1-12. doi: 10.21608/aunj.2015.222237
(2015). 'THREE DIMENSIONAL SURFACES OBTAINED BY THE EQUIFORM MOTION OF A SURFACE OF REVOLUTION', test, 44(2), pp. 1-12. doi: 10.21608/aunj.2015.222237
THREE DIMENSIONAL SURFACES OBTAINED BY THE EQUIFORM MOTION OF A SURFACE OF REVOLUTION. test, 2015; 44(2): 1-12. doi: 10.21608/aunj.2015.222237

THREE DIMENSIONAL SURFACES OBTAINED BY THE EQUIFORM MOTION OF A SURFACE OF REVOLUTION

Assiut University Journal of Multidisciplinary Scientific Research
Volume 44, Issue 2, December 2015, Pages 1-12    PDF (559.49 K)
Document Type: Novel Research Articles
DOI: 10.21608/aunj.2015.222237
Abstract
In this paper, a three dimensional surface using equiform motion of a surface of revolution
in Euclidean 3-space E
3
is generated. The main results obtained in this paper are that the
surface foliated by equiform motion of sphere has a zero scaler curvature if the motion of
sphere are in parallel planes. Also, the surface foliated by equiform motion of tours has a
zero scaler curvature if the motion of torus are in parallel planes. Finally, for some special
cases, new examples are constructed and plotted.
Keywords
Kinematic surfaces; equiform motion
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