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Vol 5 No 2-3
Pages:
187-192
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RUS
Research article
Articles

Supplementing the derivation of major aggregates up to octoprimes and conoseconds

Authors:
E. S. Fedorov
Date submitted:
1914-06-18
Date accepted:
1914-08-22
Date published:
1914-12-01

Abstract

Although the previous article represents something complete, bringing the main aggregates to those that are determined by six elements, it is immediately striking that the highest of them - hexaseconds - do not represent aggregates of the most general nature - conoseconds, but only their special differences that can be reproduced by straight lines, that is, only line conoseconds.Only those are completely and unambiguously determined by no more than six points and planes. Since it is conoseconds of a general nature that establish polar correlativity between points and planes in space, the proof of the theorem in question boils down to the fact that such correlativity can be established in ∞⁹ ways

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