Submit an Article
Become a reviewer
Vol 1 Iss. 2
Pages:
147-159
Download volume:
RUS
Article

Systems of harmonic segments and vectors

Authors:
Ye. P. Fedorov
Date submitted:
1907-12-10
Date accepted:
1908-02-03
Date published:
1908-06-01

Abstract

We outline the possibility of a path for the derivation of an indefinite number of new geometric systems. The main feature of the problems of New Geometry is the indefinite multiplicity in the application of theorems, in contrast to the individuality of conditions in the formulation of problems with which ancient and analytical geometry deals. Problems of a metric nature, for this reason, do not fall within the scope of this discipline; however, it would be inaccurate to say that it includes only problems solvable by positional constructions (which is why New Geometry is more often called positional or projective geometry).

Область исследования:
(Archived) Without section
Funding:

None

Go to volume 1

References

  1. The theory of conic sections based on projective properties. Leipzig 1876. (edited by H. Schröter).
  2. In Synthetische Geometrie der Kugeln. Leipzig 1879.

Similar articles

Studies in the geometry of spheres
1908 Ye. S. Fedorov
The crystalline state is the one and only internal state of matter
1908 P. P. Von Weymarn
Note on the remainder term of the Taylor series
1908 I. P. Dolbnya
Collinear systems in a perspective position, but not involution
1908 Ye. S. Fedorov
New derivation of the Wallis formula
1908 Ye. К. Mitkevich-Volchassky
An example of a sharp change in the magnitude of birefringence and the angle of optical axes within a layered epidote grain
1908 S. P. Ershov