Research article

Ruled surfaces with constant Disteli-axis

  • Received: 09 July 2020 Accepted: 03 September 2020 Published: 27 September 2020
  • MSC : 53A04, 53A05, 53A17

  • 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 Plücker'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.

    Citation: Nadia Alluhaibi. Ruled surfaces with constant Disteli-axis[J]. AIMS Mathematics, 2020, 5(6): 7678-7694. doi: 10.3934/math.2020491

    Related Papers:

  • 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 Plücker'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.


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  • © 2020 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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