Circular Paraboloid of Revolution
- Tim Brzezinski
Recall the locus definition of a parabola (illustrated here if you need a refresher). Well, imagine spinning this parabola 360 degrees about its axis (of symmetry). Doing so yields a 3D solid called a circular paraboloid of revolution. Interact with this applet for a few minutes. Be sure to slide the Slide Me! slider completely once before messing around with the other sliders! Note: Point P is a point that lies on this solid. Move it wherever you'd like. After doing so, answer the question that follows.
A circular paraboloid of revolution is a locus (set of points that satisfy a condition or set of conditions). How would you describe this locus?