A ruled surface of the sixth order as a hexaprima of rays
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Abstract
By definition, this surface is generated by two homologous quadratic primas of planes. In the general case, this surface possesses a hexaprima of double points, at each of which two rays of the surface intersect. A correlative transformation yields the same surface, since to each point with two intersecting rays, by which a tangent plane is determined, there corresponds correlatively a tangent plane with two rays in it, intersecting at the point of tangency. Consequently, we can also generate such a surface by a correlative path, that is, determine it by two conoprimas with an established projectivity of points.
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