Abstract
A generalisation of a ruled surface in n-dimensional euclidean space may be generated by euclidean motion of a s-plane As. For this one-parametric family {As} the curve of striction is defined and the following theorems are proved: (I) The generators As are parallel along the curve of striction, i.e. the multivectors representing As form a parallel vector field along the curve of striction. (II) If the curve of striction is geodesic on {As}, it is also an isogonal trajectory of the family of generators {As}.
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