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, Page 1-12 PDF (559.49 K) | ||||
Document Type: Novel Research Articles | ||||
DOI: 10.21608/aunj.2015.222237 | ||||
View on SCiNiTO | ||||
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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