SCIENTIFIC AND METHODICAL PECULIARITIES OF DESCRIBING THE SECTION "RULED SURFACES" IN THE DESCRIPTIVE GEOMETRY COURSE
Borovikov Ivan Fedorovich, Kalinin Viktor Isakovich, Ovsyannikova Tat'yana Nikolaevna
Bauman Moscow State Technical University
Abstract. Ruled surfaces are often used while actually modeling technical forms. However the presentation of this kind of material in academic courses does not satisfy the modern state of descriptive geometry. The majority of textbooks do not cover important issues associated with the practice of the ruled surface construction. The article examines the material, which would be reasonable to include into academic courses because its understanding will help students in their future professional activity.
Key words and phrases: начертательная геометрия, линейчатые поверхности, порядок поверхности, взаимно однозначное соответствие, направляющие кривые, приводимая поверхность, изотропные прямые, descriptive geometry, ruled surfaces, order of surface, one-to-one correspondence, directing curves, reducible surface, isotropic right lines
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References:
Aleksandrova N. V. Iz istorii vektornogo ischisleniya. M.: Librokom, 2015. 272 s.
Borovikov I. F. Konstruirovanie sopryagayushchikh giperpoverkhnostei na osnove rassloyaemykh preobrazovanii: avtoref. diss. … k.t.n. M., 1985. 18 s.
Geronimus Ya. L. Geometricheskii apparat teorii sinteza ploskikh mekhanizmov. M.: Fizmatgiz, 1962. 400 s.
Gordon V. O., Sementsov-Ogievskii M. O. Kurs nachertatel'noi geometrii. M.: Nauka, 1988. 272 s.
Ivanov G. S. Nachertatel'naya geometriya. M.: MGUL, 2012. 340 s.
Peklich V. A. Nachertatel'naya geometriya. M.: ASV, 1999. 248 s.