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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

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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.

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