Exploring Locus with Constant Product of Distances to Two Fixed Points

2020-08-27 10:32
This applet demonstrates the locus of points where the product of distances to two fixed points is constant, forming Cassini ovals. By constructing points and the distance equation, it uses the Locus command to dynamically generate the curve. It visually shows how parameter changes affect the shape, covering coordinate geometry and parametric curves, ideal for exploring special plane curves.