Submit an Article
Become a reviewer
Vol 5 Iss. 2-3
Pages:
187-192
Download volume:
RUS
Article

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

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

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.

Область исследования:
(Archived) Articles
Funding:

None

Go to volume 5

Similar articles

Quadratic tertias and seconds of rays
1914 E. S. Fedorov
A visual representation of the chemical composition of rocks from the Christiania region and lavas of the Caucasus
1914 E. S. Fedorov
On the dispersion of idocrase
1914 I. Ansheles
Resistance of metal to compression between two rolls during rolling
1914 S. N. Petrov
Analysis of crystals precipitated from laboratory wastewater
1914 E. S. Fedorov
Polar relations of real triangles and tetrahedra
1914 E. S. Fedorov