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Vol 39 Iss. 3
Pages:
95-106
Download volume:
RUS
Article

On the depiction of images of multidimensional spaces by orthogonal projections of vectors

Authors:
P. V. Filippov
Date submitted:
1960-09-07
Date accepted:
1960-11-14
Date published:
1961-09-12

Abstract

The methods of projective geometry make it possible to use numerous geometric systems, which is widely used in the works of E. S. Fedorov. At present, even educational manuals on projective geometry do not mention the existence of various geometric systems, which, however, open wide opportunities for solving a number of problems of engineering and scientific practice.

Область исследования:
(Archived) Without section
Funding:

None

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References

  1. Fedorov E. S. New Geometry as a Basis for Drawing. SPb, 1907.
  2. Fedorov E. S. Accurate representation of points of space on the plane. Zapiski Gornogo Instituta, vol. I, iss. 1, 1908.
  3. Fedorov E. S. Basic features of the new geometry. J Zapiski Gornogo Instituta, vol. III, vol. 5, 1912.
  4. Fedorov E. S. A simple and accurate representation of points of space of four dimensions in the plane by means of vectors. Zapiski Gornogo Instituta, vol. II, iss. 3, 1909.
  5. Fedorov E. S. Graphical operations with four independent variables. Izv. Rossiyskoy Akademii nauk, Series VI, No. 7, 1918.
  6. Fedorov E. S. Linear sets of vectors in space. Zapiski Gornogo Instituta, vol. V, iss. 1, 1914.
  7. Lodochnikov V. N. The simplest ways of depicting multicomponent systems. Izv. In-ta fiziko-khimich. analiza, vol. II, iss. 2, 1924.
  8. Shishokin V. P. Analytical and Graphical Methods of Investigation of Complex Equilibrium Systems. P Izv. In-ta fiziko-khimich. analiza, vol. III, iss. 1, 1926.
  9. Pryanishnikova Z. I. Generalization of E. S. Fedorov's projections. Sbornik: Metody nachertatel'noy geometrii i ee prilozheniya. GITTL, 1955.
  10. Zhitomirskiy O. K. Projective geometry in tasks. GITTL, 1954.
  11. Rocke N. E. New Yearbook of Mineralogy, 1916, v. II, p. 109.
  12. Schoute P. H. Multidimensional geometry. V. I. Leipzig, 1902.

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