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Vol 1 No 4
Pages:
302-304
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RUS
Research article
Without section

Construction of a curved surface of the 2nd order (conoseconds) from imaginary pairs of points or an imaginary conic section.

Authors:
Ye. S. Fedorov
Date submitted:
1908-06-11
Date accepted:
1908-08-09
Date published:
1908-12-01

Abstract

We know that from two given points e with e' and a conical section K on the plane, we can reproduce a curved surface of the 2nd order, if from these points we take one e as the center of the second of the rays, and the second e' as the center of the second of the planes and bring these two seconds into a correlative relation so that the ray ea (a point on the conic section plane) will be considered correlative to the plane e'A, where A is the polar of the point a with respect to the conic section K. It is known that in such a surface a set of rays and their correlative planes.

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