Abstract
In this paper, for one-parameter closed dual spherical motions, we define the dual versions of the area vector of a given closed space curve, and the area projection of this curve in the direction of a given unit vector. The relationship between the above dual versions and the dual Steiner vector of the motion is used to give a generalization for Holditch’s theorem of planar kinematics into space kinematics. The geometry of ruled surfaces generated in a one-parameter spatial motion are treated in terms of their integral invariants. Finally, an example of application is investigated and explained in detail.
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