THE ORIGINS OF FORMATION OF DESCRIPTIVE GEOMETRY
Abstract and keywords
Abstract (English):
The translation "Descriptive geometry" is not entirely accurate. In fact, the phrase should be translated as "Narrative geometry". Based on this translation, it can be confidently stated that the science under consideration serves not only as a theoretical basis for orthogonal projections, a special case of which are ordinary drawings, but also for any images – in this the author of the article fully agrees with such authorities as N.A. Rynin, N.F. Chetverukhin, V.O. Gordon, S.A. Frolov, N.A. Sobolev and many others. The paper considers the origins of one of the directions of geometry – descriptive geometry. The hypothesis is put forward that in reality descriptive geometry, or rather, its elements, was originally involved in ancient times, during the primitive communal system when making drawings on the walls of caves and rocks. Orthogonal projections were used in the ancient world and in the Middle Ages, and Gaspard Monge at the end of the XVIII century systematized all the existing disconnected developments on descriptive geometry, adding his own research. Most likely, geometry in general was the very first science that originated when our ancestors who lived in caves faced the problem of increasing the living area due to population growth. And descriptive geometry began to develop from the moment when the first artist depicted scenes from life on the cave wall: hunting, fishing, tribal wars, events that shocked people, etc. Ancient artists existed on all continents of the globe, except perhaps Antarctica, since rock carvings were found on all other continents. And the earliest was performed somewhere 25-30 thousand years ago. Thus, the hypothesis that the elements of descriptive geometry originated in the primitive communal system can be considered proven.

Keywords:
geometry, descriptive geometry, pedagogy, training
References

1. Beglov I.A. Nachertatel`naya geometriya i inzhenernaya grafika: neobxodimost` izucheniya v shkole i v vuze [Descriptive geometry and engineering graphics: the need to study at school and in high school]. Sbornik trudov Vserossijskoj nauchno-metodicheskoj konferencii po inzhenernoj geometrii i komp`yuternoj grafike [Proceedings of the All-Russian Scientific and Methodological Conference on Engineering Geometry and Computer Graphics]. Moscow, MITXT, Publ., 2008, pp.32-34. (in Russian)

2. Bubennikov A.V., Gromov M.Ja. Nachertatel'naja geometrija [Descriptive geometry]. Moscow, Vysshaja shkola Publ., 1973, 416 p. (in Russian)

3. Budarin O.S. Nachertatel`naya geometriya Kratkij kurs [Descriptive geometry A short course]. St. Petersburg, Lan` Publ., 2019, 360 s. (in Russian)

4. Budasov B.V. Kaminskij V.P. Stroitel'noe cherchenie [Civil engineering drawing]. Moscow, Strojizdat Publ., 1990, 464 p. (in Russian)

5. Vinnickij I.G. Nachertatel'naja geometrija [Descriptive geometry]. Moscow, Vysshaja shkola Publ., 1975, 280 p. (in Russian)

6. Vinogradov V.N. Nachertatel`naya geometriya [Descriptive geometry]. Minsk, Vy`sh. Shkola Publ., 1977, 268 p. (in Russian)

7. Voloshin-Chelpan Je.K. Nachertatel'naja geometrija. Inzhenernaja grafika [Descriptive geometry. Engineering graphics]. Moscow, Akademicheskij proekt Publ., 2009, 183 p. (in Russian)

8. Vyshnyepolskiy V.I., Sal´kov, N.A. Tseli i metody obucheniya graficheskim distsiplinam [The aims and methods of teaching drawing]. Geometriya i grafika [Geometriya i grafika]. 1970, V. 1, I. 2, pp. 8-9. DOI: 10.12737/777. (in Russian)

9. Glagolev N.A. Nachertatel'naja geometrija [Descriptive geometry]. M.-L, ONTI NKTP SSSR, Glavnaja redakcija obshhetehnicheskoj literatury i nomografii Publ., 1936, 160 p. (in Russian)

10. Gordon V.O., Semencov-Ogievskij M.A. Kurs nachertatel'noj geometrii [A course in descriptive geometry]. Moscow, Nauka Publ., 1977, 268 p. (in Russian)

11. Dobrjakov A.I. Kurs nachertatel'noj geometrii [A course in descriptive geometry]. M.-L., Gos. izdatel'stvo literatury po stroitel'stvu i arhitekture Publ., 1952, 496 p. (in Russian)

12. Ivanov G.S. Nachertatel`naya geometriya [Descriptive geometry]. Moscow, FGBOU VPO MGUL Publ., 2012. 340 p. (in Russian)

13. Ivanov G.S. Perspektivy nachertatel'noj geometrii kak uchebnoj discipliny [Perspectives of descriptive geometry as an educational discipline]. Geometriya i grafika [Geometry and Graphics]. 2013, V. 1, I. 1, pp. 26–27. DOI: 10.12737/775. (in Russian)

14. Ishenko A.A. K voprosu o neobhodimosti prepodavaniya nachertatel'noj geometrii i grafiki dlya himikov i himikovtekhnologov [To the question of the need for teaching descriptive geometry and graphics for chemists and chemical technologists]. Geometriya i grafika [Geometry and Graphics]. 2013, V. 1, I. 2, pp. 6–7. DOI: 10.12737/776. (in Russian)

15. Klimuhin A.G. Nachertatel'naja geometrija [Descriptive geometry]. Moscow, Strojizdat Publ., 1978, 334 p. (in Russian)

16. Kurs nachertatel'noj geometrii [Course in descriptive geometry]. Kiev, Gos. izd-vo literatury po stroitel'stvu i arhitekture USSR Publ., 1961. 316 p. (in Russian)

17. Koroev Ju.I. Nachertatel'naja geometrija [Descriptive geometry]. Moscow, KNORUS Publ., 2011, 432 p. (in Russian)

18. Korotkij V.A., Xmarova L.I., Butorina I.V. Nachertatel`naya geometriya: konspekt lekcij [Descriptive geometry]. Chelyabinsk, YuUrGU Publ., 2014. 191 p. (in Russian)

19. Nachertatel'naja geometrija [Descriptive geometry]. Moscow, Vysshaja shkola Publ., 1977, 231 p. (in Russian)

20. Nachertatel'naja geometrija [Descriptive geometry]. Moscow, Vysshaja shkola Publ., 1990, 240 p. (in Russian)

21. Kuznecov N.S. Nachertatel'naja geometrija [Descriptive geometry]. Moscow, Vysshaja shkola Publ., 1981, 262 p. (in Russian)

22. Loktev O.V. Kratkij kurs nachertatel'noj geometrii [A short course in descriptive geometry]. Moscow, Vysshaja shkola Publ., 1985, 136 p. (in Russian)

23. Monzh G. Nachertatel`naya geometriya [Descriptive geometry]. L., Akademii Nauk SSSR Publ., 1947, 292 p. (in Russian)

24. Peklich V.A. Nachertatel'naja geometrija [Descriptive geometry]. Moscow, Izdatel'stvo associacii stroitel'nyh vuzov Publ., 2007, 272 p. (in Russian)

25. Russkevich N.L. Nachertatel'naja geometrija [Descriptive geometry]. Kiev, Vishha shkola Publ., 1978, 312 p. (in Russian)

26. Ry`zhov N.N. Nachertatel`naya geometriya (ponyatiya, ix opredeleniya i poyasneniya) [Descriptive geometry (concepts, their definitions and explanations)], Moscow, MADI Publ., 1993, 60 p. (in Russian)

27. Rynin N.A. Znachenie nachertatel'noj geometrii i sravnitel'naja ocen-ka glavnejshih ee metodov [The value of descriptive geometry and comparative evaluation of the main methods]. Petrograd: Ju.N. Jerlih Publ., 1907, 96 p. (in Russian)

28. Rynin N.N. Nachertatel'naja geometrija [Descriptive geometry]. L., Gosstrojizdat Publ., 1939, 448 p. (in Russian)

29. Ry`nin`` N.A. Ortogonal`ny`ya proekczii [Orthogonal designs]. Petrograd, 1918. 334 p. (in Russian)

30. Sal'kov N.A. Geometricheskoe modelirovanie i nachertatel'naja geometrija [Geometric modeling and descriptive geometry]. Geometrija i grafika [Geometry and graphics]. 2016, V. 4, I. 4, pp. 31–61. DOI: 10.12737/22841. (in Russian)

31. Sal`kov N.A. Zachem nuzhna nachertatel`naya geometriya [Why do we need descriptive geometry]. Zhurnal estestvennonauchny`x issledovanij [Journal of Natural Science Research]. 2021, I.. 1, pp. 39-44. Available at: https://naukaru.ru/ru/nauka/article/43279/view. (in Russian)

32. Salkov N.A. Iskusstvo i nachertatel'naja geometrija [Art and Descriptive Geometry]. Geometrija i grafika [Geometry and graphics]. 2013, V. 1, I. 3-4, pp. 3-7. DOI: 10.12737/2123. (in Russian)

33. Sal`kov N.A. Kachestvo geometricheskogo obrazovaniya pri razlichny`x podxodax k metodike obucheniya [The quality of geometric education with different approaches to teaching methods]. Geometriya i grafika [Geometry and graphics]. 2016, V. 8, I. 4, pp. 47-60. DOI: 10.12737/2308-4898-2021-8-4-47-60. (in Russian)

34. Sal'kov N.A. Mesto nachertatel'noj geometrii v sisteme geometricheskogo obrazovaniya tekhnicheskih vuzov [Place of descriptive geometry in the system of geometric education of technical universities]. Geometriya i grafika [Geometry and graphics]. 2016, V. 4, I. 3, pp. 53–61. DOI: 10.12737/21534. (in Russian)

35. Sal'kov N.A. Nachertatel'naja geometrija – baza dlja geometrii analiticheskoj [Descriptive geometry is the basis for analytic geometry]. Geometrija i grafika [Geometry and graphics]. 2016, V. 4, I. 1, pp. 44-54. DOI: 10.12737/18057. (in Russian)

36. Salkov N.A. Nachertatel'naya geometriya — baza dlya komp'yuternoj grafiki [Descriptive geometry — the basis for computer graphics]. Geometriya i grafika [Geometry and Graphics]. 2016, V. 4, I. 2, pp. 37–47. DOI: 10.12737/19832. (in Russian)

37. Salkov N.A. Nachertatel'naja geometrija [Descriptive geometry]. Moscow, INFRA-M Publ., 2013. 184 p. (in Russian)

38. Salkov N.A. Nachertatel'naja geometiya do 1917 goda [Descriptive Geometry until 1917]. Geometrija i grafika: Nauchno-metodicheskij zhurnal [Geometry and graphics. Scientific and methodological journal]. Moscow, INFRA-M Publ., 2013, V. 1, I. 2, pp. 18–20. DOI: 10.12737/780. (in Russian)

39. Sal`kov N.A. Nachertatel`naya geometriya: Konstruirovanie poverxnostej [Descriptive geometry: Construction of surfaces], Moscow: INFRA-M Publ., 2021, 220 p. (in Russian)

40. Salkov N.A. Nachertatel'naja geometrija. Osnovnoj kurs: Ucheb. Posobie [Descriptive geometry. The main course]. Moscow, INFRA-M Publ., 2014, 235 s. DOI: 10.12737/764. (in Russian)

41. Sal`kov N.A. Nachertatel`naya geometriya — teoriya izobrazhenij [Descriptive geometry-image theory]. Geometriya i grafika [Geometry and graphics]. 2016, V. 4, I. 4, pp. 41–47. DOI: 10.12737/22842. (in Russian)

42. Sal`kov N.A. Parametricheskaya geometriya v geometricheskom modelirovanii [Parametric geometry in geometric modeling]. Geometriya i grafika [Geometry and graphics]. 2014, V. 2, I. 3, pp. 7–13. DOI: 10.12737/6519. (in Russian)

43. Sal`kov N.A. Tak zachem zhe nuzhna nachertatel`naya geometriya (ili otvet g-nu Tunakovu) [So why do we need descriptive geometry (or the answer to Mr. Tunakov)]. Sbornik trudov Vserossijskoj nauchno-metodicheskoj konferencii po inzhenernoj geometrii i komp`yuternoj grafike. Chast` 2 [Proceedings of the All-Russian Scientific and Methodological Conference on Engineering Geometry and Computer Graphics. - Part 2]. Moscow, MITXT Publ., 2008, pp. 22-26. (in Russian)

44. Sal`kov N.A. Fenomen prisutstviya nachertatel`noj geometrii v drugix uchebny`x disciplinax [The phenomenon of the presence of descriptive geometry in other academic disciplines]. Geometriya i grafika [Geometry and graphics]. 2020, V. 8, I. 4, pp. 61-73. DOI: 10.12737/2308-4898-2021-8-4-61-73. (in Russian)

45. Sobolev N.A. Obshhaya teoriya izobrazhenij [General image theory]. Moscow, Arxitektura-S Publ., 2004. 672 p. (in Russian)

46. Timrot E.S. Nachertatel'naja geometrija [Descriptive Geometry]. Moscow, Gos. izdatel'stvo literatury po stroitel'stvu, arhitekture i stroitel'nym materialam Publ., 1962. 280 p. (in Russian)

47. Frolov S.A., Pokrovskaya M.V. V poiskax nachala: Rasskazy` o nachertat. geometrii [In search of the beginning: Stories about the descriptive geometries]. Minsk, «Vy`she`jshaya shkola» Publ., 1985. 189 p. (in Russian)

48. Frolov S.A. Nachertatel'naya geometriya [Descriptive geometry]. Moscow, Mashinostroenie Publ., 1978, 240 p. (in Russian)

49. Chetveruxin N.F., Leviczkij V.S. Nachertatel`naya geometriya [Descriptive Geometry]. Moscow, Vy`sshaya shkola Publ., 1963. 420 p. (in Russian)