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Vol 5 No 2-3
Pages:
205-206
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RUS
Research article
Articles

Ruled surface of the VI order as a hexaprima of rays

Authors:
E. S. Fedorov
Date submitted:
1914-06-10
Date accepted:
1914-08-03
Date published:
1914-12-01

Abstract

By the definition of this surface, it is reproduced by two homologous quadratic primes of planes. In the general case, on this surface there is a hexaprima of double points, at each of which two rays of the surface intersect. The correlative transformation gives the same surface, since each point with two intersecting rays, which define a tangent plane, has a correlative tangent plane with two rays in it intersecting at the point of tangency. Consequently, we can reproduce such a surface in a correlative way, that is, we can define it by two conoprimes with established projectivity of points.

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