DESCRIPTIVE GEOMETRY AS THEORY OF IMAGES
Abstract and keywords
Abstract (English):
In April 2016 at the All-Russian seminar "Geometry and Graphics", dedicated to the 125th anniversary of the birth of Glazunov Yevgeny Alexandrovich on a replica of one of the N.A. Salkov paper authors that descriptive geometry is the theory of images, the speaker somehow ambiguously stated that it is not quite so. How, in his opinion, was the case, he did not wish to disclose. Moreover, some graphic disciplines teachers believe descriptive geometry unworthy of study because some of them only known causes. They do not understand that descriptive geometry is the theory of images, and images are everywhere, right down to the computer screen. There is no such area of the human labor application where this or that image wouldn´t be applied. Images are ubiquitous! That is why descriptive geometry as a theory of images should be studied not only in the artistic and technical high educational institutions, but in all ones of Russia. In proposed paper there are numerous examples of the classics (and not only of them), expressed oneself on a subject of descriptive geometry. All statements (of Gaspard Monge, academician N.F. Chetverukhin, professors A.I. Dobryakov, E.A. Glazunov, V.O. Gordon, G.S. Ivanov, S.M. Kolotov, V.A. Peklich, N.A. Rynin, S.A. Frolov, etc.) are reduced to one and the same: a projection is an image, and descriptive geometry is the theory of images. A diagram showing that descriptive geometry’s interest area includes not only drawing, but also thirteen other sections, has been presented.

Keywords:
geometry, descriptive geometry, theory of images, projection, image, axonometric, perspective, projections with numerical marks
Text

В апреле 2016 г. на Всероссийском семинаре «Геометрия и графика», посвященном 125-летию со дня рождения Евгения Александровича Глазунова, на реплику автора данной статьи Н.А. Салькова, что начертательная геометрия является теорией изображений, докладчик как-то двусмысленно заявил, что это не совсем так. Как же, по его мнению, обстоит дело, он не пожелал раскрыть.

Попробуем разобраться в возникшем недопонимании среди геометров, как же в действительности обстоит дело, на многочисленных примерах мнений авторов, ставших классиками, и других, пока еще не ставших ими.

References

1. Bubennikov A.V. Nachertatel´naya geometriya [Descriptive geometry]. Moscow, Vysshaya shkola Publ., 1965. 338 p.

2. Vinitskiy I.G. Nachertatel´naya geometriya [Descriptive geometry]. Moscow, Vysshaya shkola Publ., 1975. 280 p.

3. Vladimirskiy G.A. Naglyadnye izobrazheniya v parallel´nykh proektsiyakh [Visual images in parallel projections]. Moscow, Gos. uchebno-pedagogicheskoe izd-vo Ministerstva prosveshcheniya RSFSR Publ., 1960. 132 p.

4. Glazunov E.A. Aksonometriya [Axonometry]. Moscow, Gos. izd-vo tekhniko-teoreticheskoy literatury Publ., 1953. 292 p.

5. Gordon V.O. Kurs nachertatel´noy geometrii [Course descriptive geometry]. Moscow, Nauka Publ., 1977. 368 p.

6. Dobryakov A.I. Kurs nachertatel´noy geometrii [Course descriptive geometry]. Moscow, Gos. izd-vo literatury po stroitel´stvu i arkhitekture Publ., 1952. 496 p.

7. Ivanov G.S. Nachertatel´naya geometriya [Descriptive geometry]. Moscow, FGBOU VPO MGUL Publ., 2012. 340 p.

8. Ivanov G.S. Teoreticheskie osnovy nachertatel´noy geometrii [Theoretical foundations of descriptive geometry]. Moscow, Mashinostroenie Publ., 1998. 158 p.

9. Ierusalimskiy A.M. Nachertatel´naya geometriya [Descriptive geometry]. Moscow, Gos. izd-vo tekhniko-teoreticheskoy literatury Publ., 1954. 304 p.

10. Kamenev V.I. Aksonometricheskie proektsii [Axonometric projection]. Moscow, Mashgiz Publ., 1946. 184 p.

11. Klimukhin A.G. Nachertatel´naya geometriya [Descriptive geometry]. Moscow, Stroyizdat Publ., 1978. 334 p.

12. Kozlovskiy Yu.G. Osnovy nachertatel´noy geometrii v kratkom i populyarnom izlozhenii [Basics of descriptive geometry in the summary and popular presentation]. Minsk, Vysheyshaya shkola Publ., 1974. 224 p.

13. Kolotov S.M. Voprosy teorii izobrazheniy [Questions image theory]. Kiev, Kievskiy universitet Publ., 1972. 163 p.

14. Kolotov S.M. Kurs nachertatel´noy geometrii [Course descriptive geometry]. Kiev, Gos. izd-vo literatury po stroitel´stvu i arkhitekture USSR Publ., 1961. 316 p.

15. Kolotov S.M. Nachertatel´naya geometriya [Descriptive geometry]. Kiev, Vishcha shkola Publ., 1975. 264 p.

16. Koroev Yu.I. Nachertatel´naya geometriya [Descriptive geometry]. Moscow, KNORUS Publ., 2011. 432 p.

17. Korotkiy V.A. Nachertatel´naya geometriya [Descriptive geometry]. Chelyabinsk, YuUrGU Publ., 2014. 191 p.

18. Kuznetsov N.S. Nachertatel´naya geometriya [Descriptive geometry]. Moscow, Vyssh. Shkola Publ., 1969. 501 p.

19. Loktev A.V. Kratkiy kurs nachertatel´noy geometrii [A short course of descriptive geometry]. Moscow, Vyssh. Shkola Publ., 1985. 136 p.

20. Lyzlov A.N. Nachertatel´naya geomteriya. Zadachi i resheniya [Descriptive geomteriya. Challenges and solutions]. St. Petersburg, «Lan´» Publ., 2011. 96 p.

21. Makarova M.N. Perspektiva [Perspective]. Moscow, Prosveshchenie Publ., 1989. 191 p.

22. Monzh G. Nachertatel´naya geometriya [Descriptive Geometry]. Moscow, Akademia Nauk SSSR Publ., 1947. 292 p.

23. Nikolaev V.L., Ikonnikova G.S. Nachertatel´naya geometriya [Descriptive Geometry]. Moscow, Vysshaya shkola Publ., 1977. 231 p.

24. Pankratov A.A. Nachertatel´naya geometriya [Descriptive Geometry]. Moscow, Uchpedgiz Publ., 1959. 204 p.

25. Peklich V.A. Nachertatel´naya geometriya [Descriptive Geometry]. Moscow, Assotsiatsii stroitel´nykh vuzov Publ., 2007. 272 p.

26. Russkevich N.L. Nachertatel´naya geometriya [Descriptive Geometry]. Kiev, Vishcha shkola Publ., 1978. 312 p.

27. Rynin N.A. Nachertatel´naya geometriya [Descriptive Geometry]. Gosstroyizdat Publ., 1939. 448 p.

28. Sal´kov N.A. Nachertatel´naya geometriya - baza dlya geometrii analiticheskoy [Descriptive Geometry - the base for geometry analysis]. Geometriya i grafika [Geometry and Graphics]. 2016, V. 4, I. 1, pp. 44-54. DOI:https://doi.org/10.12737/18057.

29. Sal´kov N.A. Nachertatel´naya geometriya - baza dlya komp´yuternoy grafiki [Descriptive Geometry - the basis for computer graphics]. Geometriya i grafika [Geometry and Graphics]. 2016, V. 4, I. 2, pp. 37-47. DOI:https://doi.org/10.12737/19832.

30. Sal´kov N.A. Nachertatel´naya geometriya: bazovyy kurs [Descriptive geometry: basic course]. Moscow, INFRA-M Publ., 2013. 184 p.

31. Sal´kov N.A. Nachertatel´naya geometriya. Osnovnoy kurs [Descriptive geometry. Basic course]. Moscow, INFRA-M Publ., 2014. 235 p.

32. Solov´ev S.A. Perspektiva [Perspective]. Moscow, Prosveshchenie Publ., 1981. 144 p.

33. Timrot E.S. Nachertatel´naya geometriya [Descriptive geometry]. Moscow, Gos. izd-vo literatury po stroitel´stvu, arkhitekture i stroitel´nym materialam Publ., 1962. 280 p.

34. Frolov S.A. Nachertatel´naya geometriya [Descriptive geometry]. Moscow, Mashinostroenie Publ., 1983. 240 p.

35. Chetverukhin N.F. Kurs nachertatel´noy geometrii [Course descriptive geometry]. Moscow, Gos. izd-vo tekhniko-teoreticheskoy literatury Publ., 1956. 436 p.

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