Russian Federation
Russian Federation
Russian Federation
This article presents studies of equations describing quasi-rotation surfaces in order to determine their order using an analytical approach. The equations of the section of a surface lying in the plane of its hyperbolic axis are considered in one particular case, when the forming line is a straight line passing along the real axis of the hyperbola coinciding with the axis of the abscissa. The analysis considers three areas of abscissa values, including the point lying in the focus of the hyperbolic axis. Also in this paper, the conditions for obtaining algebraic and transcendental quasi-rotation surfaces are given. Since the quasi-rotation correspondence is built relative to algebraic curves, the type of surfaces obtained depends on the type of the generating curve, and no restrictions are imposed on the shape of the generating curve.
cyclic surfaces, quasi-rotation, algebraic surfaces cyclic surfaces, quasi-rotation, algebraic surfaces
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