Surface formed by rotating a curve, called the generatrix, about a fixed line called the axis of revolution of the surface.
- A cone of revolution is a right circular cone.
- A cylinder of revolution is a right circular cylinder.
Examples
- A right circular cone is a surface of revolution in which the generatrix is a line that cuts the axis of revolution at a point called the apex of the cone.
- A right circular cylinder is a surface of revolution in which a generatrix is a line parallel to the axis of revolution.
- A hyperboloid of revolution is a surface of revolution formed by rotating a hyperbola (generatrix) about one of the axes of symmetry (axis of revolution). Depending on the axis chosen, the hyperboloid of revolution has one nappe or two nappes.
- A paraboloid of revolution is a surface of revolution formed by rotating a parabola (generatrix) about its axis of symmetry (axis of revolution).
