paraboloid
Sign in to savethumb|right|Paraboloid of revolution In geometry, a paraboloid is a quadric surface that has exactly one axis of symmetry and no center of symmetry. The term "paraboloid" is derived from parabola, which refers to a conic section that has a similar property of symmetry.
Article
12 sectionsContents
- Properties and applications
- Elliptic paraboloid
- Parabolic reflector
- Hyperbolic paraboloid
- Examples in architecture
- Cylinder between pencils of elliptic and hyperbolic paraboloids
- Curvature
- Geometric representation of multiplication table
- Dimensions of a paraboloidal dish
- See also
- References
- External links
thumb|right|Paraboloid of revolution In geometry, a paraboloid is a quadric surface that has exactly one axis of symmetry and no center of symmetry. The term "paraboloid" is derived from parabola, which refers to a conic section that has a similar property of symmetry.
Every plane section of a paraboloid made by a plane parallel to the axis of symmetry is a parabola. The paraboloid is hyperbolic if every other plane section is either a hyperbola, or two crossing lines (in the case of a section by a tangent plane). The paraboloid is elliptic if every other nonempty plane section is either an ellipse, or a single point (in the case of a section by a tangent plane). A paraboloid is either elliptic or hyperbolic.