Supplement to the derivation of principal aggregates up to octoprimas and conosecunds

Abstract

Although the preceding article represents something complete, having carried the principal aggregates up to those determined by six elements, it immediately strikes the eye that the highest of them — hexaseconds — do not represent aggregates of the most general character — conosecunds — but only their special varieties, capable of being generated by straight lines, that is, only linear conosecunds. Only such aggregates are completely and uniquely determined by no more than six points and planes. Since it is precisely conosecunds of a general character that establish a polar correlation between points and planes in space, the proof of the theorem in question reduces to the fact that such a correlation can be established in ∞⁹ ways.

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