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BUILDING SOME COMPLEX SURFACES AS GEOMETRIC PLACES OF POINTS USING 3D MODELING

Guseva Tamara Viktorovna
Фото Kozlova Irina Alekseevna
Фото Xarax Matvey Maksimovich

Аbstract

The study of geometric places of points (G.M.T.) considered in numerous works. In recent years reappeared studies on G.M.T. with new perspectives. The report examined the GM analytically. twenty double systems formed by points, lines, planes, spheres, cylinders and cones of rotation, the distances of which from the given systems are connected by six dependencies. The report considers a 3D model of the surface of the 4th order as G. M. T., the sum of the distances to the line and the sphere is a constant, as well as a 3D model of the surface of the 4th order as G. M. T., the ratio of the distances to the point and the cone is a constant.

Keywords: the locus of points, surface, analytical geometry, dependence, 3D model