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.

中文翻译：

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恒定Disteli轴的直纹曲面

这项工作通过使用与球形运动学的类比，开发了直纹曲面的运动学几何形状。这提供了计算一组曲率函数的能力，这些曲率函数定义了直纹曲面的局部形状。因此，获得了普吕克圆锥体的众所周知的方程，并详细研究了其运动几何学。最后，推导并研究了将直线轨迹定为恒定Disteli轴的特征。