Elliptic paraboloid equation

Description

The elliptic paraboloid is shaped like an oval cup and can have a maximum or minimum point. In a suitable coordinate system with three axes x, y, and z, it can be represented by an equation witch constants dictate the level of curvature and the way that the paraboloid opens upward or downward.

Related formulas

Variables

zZ-coordinate of the point (dimensionless)
cConsant (opens upward for c>0 and downward for c) (dimensionless)
xThe x-coordinate of the point (dimensionless)
bConstant that dictate the level of curvature in the y-z (dimensionless)
yY-Coordinate of the point (ordinate) (dimensionless)
aConstant that dictate the level of curvature in the x-z plane (dimensionless)