Algebraic Properties, Optical Properties, and Real-Life Applications of Ellipses

This GeoGebra example comprehensively demonstrates various mathematical properties and practical applications of ellipses. By constructing foci F₁, F₂ and a moving point P, it illustrates the algebraic definition of an ellipse (constant sum of distances to two foci). Using vector and segment tools, it simulates the optical reflection property where light emitted from one focus reflects off the ell