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Set of solids of revolution, surfaces of revolution and sections

Function

Intended for experimental study, mathematics laboratory and carrying out mathematical experiments on: Spatial geometry and metrics. Solids of revolution. The solid of revolution obtained by rotating the rectangle, the right cylinder. The average retention time of the image on the retina. Visualization of the right cylinder of revolution. The area of the base, the lateral area and the total area of the right cylinder of revolution. The volume of the right cylinder of revolution. The solid of revolution obtained by rotating the right triangle, the right cone. The area of the base, the lateral area and the total area of the right cone of revolution. The volume of the right cone of revolution. Sectioning the right cone of revolution with planes of different inclinations, conic curves. The solid of revolution obtained by rotating the semicircle, the sphere. The area of the sphere. The volume of the sphere. The length of the equatorial circumference of the sphere. The area of the equatorial circle of the sphere. Surfaces of revolution. The shell or surface of the double right circular cone and the plane conic curves. The conic curves. The straight cylindrical shell or surface of revolution due to the rotation of a vertical line. The circular shell or surface, rotation of a horizontal line. The toroidal shell or surface of revolution, rotation of a circle around a remote axis. The spherical shell or surface of revolution, rotation of a circle around one of its diameters. The circular parabolic shell or surface of revolution, rotation of a parabola around a central axis. The ellipsoidal shell or surface of revolution, rotation of an ellipse around one of its diameters. The hyperboloidal shell or surface of revolution, rotation of a vertical hyperbola around its central axis. The hyperboloidal shell or surface of revolution, rotation of an inclined line around a remote axis, etc.

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Key Experiments

  • » The solid of revolution obtained by rotating the rectangle, the straight cylinder. - 1400.007A1
  • » The solid of revolution obtained by rotating the right triangle, the right cone. - 1400.007B1
  • » By sectioning the straight cone of revolution with planes of different inclinations, the conic curves. - 1400.007D1
  • » The solid of revolution obtained by rotating the semicircle, the sphere. - 1400.007E1
  • » The shell or surface of the right circular double cone and the plane conical curves. - 1400.007F1
  • » The straight cylindrical shell or surface of revolution due to the rotation of a vertical line. - 1400.007G1
  • » The circular shell or surface, rotation of a horizontal line. - 1400.007H1
  • » The toroidal shell or surface of revolution, rotation of a circle around a remote axis. - 1400.007I1
  • » The spherical shell or surface of revolution, rotation of a circle about one of its diameters. - 1400.007J1
  • » The circular parabolic shell or surface of revolution, rotation of a parabola around a central axis. - 1400.007K1
  • » The ellipsoidal shell or surface of revolution, rotation of an ellipse around one of its diameters. - 1400.007L1
  • » The hyperboloid shell or surface of revolution, rotation of a vertical hyperbola around the central axis. - 1400.007M1
  • » The hyperboloidal shell or surface of revolution, rotation of an inclined line around a remote axis. - 1400.007N1
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