Construction and Locus of a Circle Tangent to a Line and Passing Through a Fixed

This applet demonstrates the geometric construction of a circle passing through a fixed point and tangent to a fixed line, and its center's locus. By constructing lines, bisectors, parabolas, and intersections, it illustrates parabola properties. Users can observe dynamic circle changes and the center's trajectory, deepening the understanding of parabola definitions and locus problems.