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GeoGebraGeoGebra Classroom

Paraboloids

Definition

Given positive numbers an elliptic paraboloid is given by the equation

Similarly, an hyperbolic paraboloid is given by the equation

A (double) cone is given by the equation

  • Toggle 'on' f to see the elliptic paraboloid. Vary the sliders a and b to see how the shape of the elliptic paraboloid changes.
  • Toggle 'on' g to see the hyperbolic paraboloid. Vary the sliders a and b to see how the shape of the elliptic paraboloid changes.
  • Toggle 'on' h to see the (double) cone. Vary the sliders a and b to see how the shape of the elliptic paraboloid changes.