Sign in
Ruled surfaces with constant Disteli-axis
Journal article   Open access  Peer reviewed

Ruled surfaces with constant Disteli-axis

Nadia Alluhaibi and Department of Mathematics, Science and Arts College, Rabigh Campus, King Abdulaziz University, Jeddah, Kingdom of Saudi Arabia
AIMS mathematics, Vol.5(6), pp.7678-7694
01/01/2020

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
This work develops the kinematic-geometry for ruled surfaces by using the analogy with spherical kinematics. This provides the ability to compute set of curvature functions which define the local shape of ruled surfaces. Hence, the well known equation of the Plucker's conoid has been obtained and its kinematic-geometry are examined in details. Finally, a characterization for a line trajectory to be a constant Disteli-axis is derived, and investigated.
url
https://doi.org/10.3934/math.2020491View
Published (Version of record) Open

Metrics

1 Record Views

Details