Geometric Definition of a Hyperbola: Difference of Distances to Foci

This example demonstrates the geometric definition of a hyperbola, which is the locus of points where the absolute difference of the distances to two fixed points (foci) is constant. Using GeoGebra geometric construction commands such as points, circles, segments, perpendicular bisectors, and intersections, it dynamically illustrates how a moving point satisfies this distance difference condition