Information AboutParaboloid |
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In Mathematics , a paraboloid is a Quadric , a type of surface in three dimensions, described by the equation: : (elliptic paraboloid), or : (hyperbolic paraboloid). There are two kinds of paraboloid: elliptic and hyperbolic. The elliptic paraboloid is shaped like a Cup and can have a Maximum or minimum point. The hyperbolic paraboloid is shaped like a Saddle and can have a critical point called a Saddle Point . It is a doubly Ruled Surface . With ''a = b'' an elliptic paraboloid is a paraboloid of revolution: a surface obtained by revolving a Parabola around its axis. It is the shape of the Parabolic Reflector s used in Mirror s, Antenna dishes, and the like. It is also called a '''circular paraboloid'''. A point light source at the focal point produces a parallel light beam. This also works the other way around: a parallel beam of light incident on the paraboloid is concentrated at the focal point. This applies also for other waves, hence Parabolic Antenna s. A daily life example of a hyperbolic paraboloid is the shape of a Pringles potato chip. SEE ALSO |
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