Quadric Surfaces
Table of Contents
Ellipsoid: #
The equation of an ellipsoid is:
$$ { x^2 \over a^2 } + { y^2 \over b^2 } + { z^2 \over c^2 } = 1 $$
Elliptic paraboloid: #
The equation of an elliptic paraboloid is:
$$ {x^2 \over a^2} + {y^2 \over b^2} =z $$
Hyperbolic paraboloid: #
The equation of a hyperbolic paraboloid is:
$$ {x^2 \over a^2} - {y^2 \over b^2} = z $$
Hyperboloid of one sheet: #
The equation of a hyperboloid of one sheet is:
$$ {x^2 \over a^2} + {y^2 \over b^2} - {z^2 \over c^2} = 1 $$
Hyperboloid of two sheets: #
The equation of a hyperboloid of two sheets is:
$$ {x^2 \over a^2} + {y^2 \over b^2} - {z^2 \over c^2} = - 1 $$