Submit an Article
Become a reviewer
Vol 2 No 5
Pages:
376-385
Download volume:
RUS
Research article
Articles

Cognate geometric systems

Authors:
E. S. Fedorov
Date submitted:
1909-11-02
Date accepted:
1910-01-16
Date published:
1910-05-01

Abstract

When dualism was recognized in the New Geometry, only two geometric systems were assumed: a system of points and a correlative system of planes. This note aims to show the special significance of such a particular case, which is expressed by the following theorem, if we call two such correlative systems, in which the spheroprims of one are correlative to the spheroprims of the other, cognate systems. All constructions, and therefore theorems, of one related system are transferred to another. In addition, I mean to show that it is possible to establish such systems that for each of its linear seconds it is possible to reproduce a related system of points on the plane.

Go to volume 2

References

  1. -

Similar articles

Automatic brake incline (Brembergbrake)
1910 A. Radkevich
Elastic rubber-like sulfur
1910 P. P. von-Weymarn
Calculation of spherical coordinates of faces after displacement
1910 D. N. Artem'ev
Considerations about the laws of twins
1910 E. S. Fedorov
Crystals of one organic compound of cobalt
1910 D. N. Artem'ev
Similarities and differences between gaseous, dissolved, and colloidal states
1910 P. P. von-Weymarn