Habarovsk, Khabarovsk, Russian Federation
Russian Federation
The research is aimed at both teachers and students in the discipline of descriptive (constructive) geometry. In particular, the issue of modeling a hyperbolic paraboloid as a ruled surface from the standpoint of descriptive geometry, and as a second-order surface, when described in analytical geometry, is considered. In accordance with the curriculum and program of the discipline "Special Sections of Affine, Projective and Computational Geometry" for training masters in the profile "Multimedia Systems and Computer Graphics" at FESU, the topic of "Modeling Surfaces by Interpolation and Approximation Methods" is considered. However, the known graphical interpretations in the course on descriptive geometry have a general theoretical nature, except for the source [3], which provides a constructive and analytical solution. Naturally, there is a desire to solve the inverse problem: according to the analytical task of a hyperbolic paraboloid, construct its constructive ruled form by the method of descriptive geometry.
hyperbolic paraboloid; directrix, generator; general equation of a second-order surface; plane tangent to a quadric; visualization in the mathematical package Maple
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