Set of solids of revolution and hyperboloid of revolution, with planar laser
Function
Intended for experimental study, mathematics laboratory and carrying out mathematical experiments on: Geometry and measurements. The solid of revolution obtained with the rotation of the rectangle, the right cylinder. Visualization of the rectangle in revolution as a cylinder. Calculating the area of the circle of the base of the right cylinder of revolution. Calculating the area of the lateral surface of the right cylinder of revolution. Calculating the total surface area of the right cylinder of revolution. The solid of revolution obtained with the rotation of the right triangle, the right cone. Visualization of the right triangle in revolution as a cone. Calculating the area of the base of the cone of revolution. Calculating the lateral area of the cone of revolution. Calculating the total area of the cone of revolution. The cone of revolution intercepted by a plane parallel to the base. The cone of revolution intercepted by a plane oblique to the base. The conical surface of revolution intercepted by a plane, conic sections, curves. The cone of revolution intercepted by a plane perpendicular to the base. The sphere of revolution obtained with the rotation of the semicircle and the spherical cap. Visualization of the semicircle in revolution as a sphere. Calculating the area of the spherical surface generated by the revolution of a semicircle. The sphere of revolution of a semicircle intercepted by a horizontal plane. The sphere of revolution of a semicircle intercepted by a vertical plane. The solid of revolution obtained by rotating a hyperbola, the hyperboloid of a sheet. Visualization of a hyperbola in revolution as a hyperboloid of a sheet in 3D. The hyperboloid of revolution intercepted by a plane perpendicular to the principal axis. The hyperboloid of revolution intercepted by a plane parallel to the principal axis. The hyperboloid of revolution intercepted by a plane oblique to the principal axis, etc.
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Key Experiments
- » The solid of revolution obtained by rotating the rectangle, the straight cylinder. - 1400.007A_2
- » The solid of revolution obtained by rotating the right triangle, the right cone. - 1400.007B_2
- » The cone of revolution intersected by a plane, the truncated cone. - 1400.007C_2
- » Sectioning the straight cone of revolution with planes of different inclinations, conical curves. - 1400.007D_2
- » The sphere of revolution obtained by rotating the semicircle and the spherical cap. - 1400.007E_2
- » The hyperboloid shell or surface of revolution, rotation of a vertical hyperbola around the central axis. - 1400.007F_2