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.