First Definition of Hyperbola: Locus of Constant Distance Difference

This GeoGebra example demonstrates the first definition of a hyperbola — the locus of points in a plane where the absolute difference of distances to two fixed points (foci F₁ and F₂) is constant. Using geometric constructions including circles, segments, perpendicular bisectors, and intersection points, it dynamically illustrates the distance relationship between any point P on the hyperbola and