3d Level Curve Grapher. There is a Maple command that will plot several level curves in the same plot for a given function with evenly spaced values of c. The following diagram shows the level surfaces.
Two Point Form. Parameter u is the height z of a contour so take the first two equations for a fixed value of u eg. Therefore the set f x y z k describes a surface in 3D-space rather than a curve in 2D-space.
This tool looks really great with a very high detail level but you may find it more comfortable to use less detail if you want to spin the model.
The following diagram shows the level surfaces. Y k constant then the trace along the surface is defined by z f x k x 2 k 2 which is a parabola opening upward and shifted down by k 2. Interactive free online graphing calculator from GeoGebra. Nevertheless the value of f x y z stays the same at each points on a level surface.
