Submit an Article
Become a reviewer
Vol 33 Iss. 3
Pages:
213-239
Download volume:
RUS
Article

On one regularity in the arrangement of center projections on the general picture plane

Authors:
P. V. Filippov
Date submitted:
1954-03-21
Date accepted:
1955-11-26
Date published:
1956-03-13

Abstract

In the course of the long historical development of descriptive geometry, as one of the sections of geometry, a number of questions have arisen that currently require scientific research. One of such questions is the question of establishing specific patterns of connection between different in nature methods of design. In graphically solving the various problems of engineering practice, it is necessary to strive for the simplest solution of each problem posed. In a number of cases, the simplest graphical solution of this or that problem can be achieved not only by skillful and reasonable use of one or another design method, but also by the ability to move from one design method to another by the simplest graphical constructions, i.e. to carry out transformation of projections. In the present work it is meant to establish a regularity of connection between the images of elements constructed by their central projection onto a common picture plane, and to show the possibility of using such a regularity in solving some problems of engineering practice.

Область исследования:
(Archived) Articles
Keywords:
-
Funding:

None

Go to volume 33

References

  1. Fedorov E.S. New descriptive geometry. Proceedings of the Academy of Sciences, 1917.
  2. Rynin N.A. Perspective. 1918.
  3. Deshevoy M.A. Grounds for unification of the main methods of designing. Proceedings of the Electrotechnical Institute, 1913, vol. VIII.
  4. Zmetny A.Ya. Linear Perspective on an Inclined Plane, Stroyizdat, 1941.
  5. Glagolev N.A. Descriptive Geometry. Gostekhizdat, 1946.
  6. Dobryakov A.I. Course of Descriptive Geometry. State Architectural Publishing House, 1949.
  7. Chettukhin N.F. Introduction to Higher Geometry. Uchpedgiz, 1935.

Similar articles

Stress distribution near a rectangular hole in a weighted massif
1956 V. N. Kozhevnikova
Moment of inertia, center of gravity and surface area of rotation
1956 А. K. Bodunov
About one class of linear integro-differential equations
1956 Т. I. Vigranenko
Distribution of stresses on the contour of a rectangular hole during bending of an infinite plate
1956 V. N. Kozhevnikova
Tangential stresses in hollow shafts in bending
1956
On the problem of fluid motion in channels
1956 P. A. Zhuravlev