Trace of Ellipses and Hyperbolas with a Circle (Director)

This example demonstrates the locus of points forming ellipses and hyperbolas when using a circle as the director circle. It involves core mathematical concepts such as the definitions of circles, ellipses, and hyperbolas, locus equations, and point-line relationships in analytical geometry. Construction highlights include using GeoGebra commands like Circle, Point, LineBisector, Line, Intersect, Locus, Segment, Angle, Midpoint, Hyperbola, Ellipse, and Distance. Suitable for high school students to learn about the generation process of conic sections and the application of parametric equations.