Abstract
As one of the fundamental concepts of geometry, a plane, as well as a point and a straight line, is not formally defined. This concept can be defined only intuitively, using other concepts as, for example a point, a straight line, flatness, and an orientation, which are also not formally defined. For example, a plane is a limiting state of the flatness having an identical orientation throughout.
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References
Brailov AY (2013) Engineering geometry. Caravella, Kiev, p 456. ISBN 978-966-2229-58-5 (in Russian)
Bubennikov AV, Gromov МY (1973) Descriptive geometry. М.: Vishaya shkola, p 416 (in Russian)
Kolotov SМ, Dolski ЕЕ, Mihajlenko VE et al (1961) Course of descriptive geometry. К.: Gosstrojizdat USSR, p 314 (in Russian)
Tevlin АМ, Ivanov GS, Nartova LG et al (1983) Course of descriptive geometry on the ground of computer. In: Tevlin АМ (ed). М.: Vishaya shkola, p 175 (in Russian)
Ivanov GS (1995) Descriptive geometry. М.: Mashinostroenie, p 223 (in Russian)
Ivanov YN, Podkoritov АN, Strigo YS (1962) Descriptive geometry. Омsк: Омsкаya pravda, p 232 (in Russian)
Mihajlenko VE, Vanin VV, Kovalyev SN (2013) Engineering and computer graphics: Handbook. In: Mihajlenko VE (ed). K: Karavella, p 328 (in Russian)
Mihajlenko VE (2001) Engineering and computer graphics. In: Mihajlenko VE, Najdish VМ, Podkorytov AN, Skidan ІА (eds). Kiyv: Vishcha shkola, p 350 (in Russian)
Podkorytov AN, Galzman EG, Perevalov VF (1993) Lectures on engineering graphics (with structurally logic schemes and algorithms of graphic constructions in solving typical problems) for students of non-mechanical specialties. ОSPU, Odessa, p 83 (in Russian)
Frolov SА (1978) Descriptive geometry. Mashinostroenie, Moscow, p 240 (in Russian)
Brailov AY (2008) A theoretical approach to transformations of two-dimensional and three-dimensional models of the product. In: Proceedings of the thirteenth international conference on geometry and graphics. ISGG, Dresden, Germany, pp 58–59
Brailov AY (2010) Fundamental principles of design and technological development of an engineering product. In: Proceedings of the fourteenth international conference on geometry and graphics. ISGG, Kyoto, Japan, pp 324–325
Brailov AY (2011) Principles of product development. In: Brailov AY (ed) Engineering graphics BALTGRAF11 proceedings of the eleventh international conference, Tallinn, ESTONIA—IAB, Tallinn University of Technology, pp 95–104
Brailov AY (2012) Laws of projective connections. In: Proceedings of the fifteenth international conference on geometry and graphics. ISGG, Montreal, Canada, pp 121–122
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Brailov, A.Y. (2016). Geometric Models and Analytical Models of a Plane. In: Engineering Graphics. Springer, Cham. https://doi.org/10.1007/978-3-319-29719-4_6
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DOI: https://doi.org/10.1007/978-3-319-29719-4_6
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