PI-100: Build Circle-Related Geometry with Sequences and Polylines

This example demonstrates how iteratively generated points (from a sequence) can be connected to form a polyline that reveals a circle-related geometric structure, illustrating how a stepwise construction can expose underlying tangent/chord-style relationships. The key mathematical ideas include circle geometry, real-number parameterization, trigonometric connections (typically arising in circle/tangent settings), and the concept of building geometry via sequences. Construction-wise, it leverages the listed GeoGebra commands: Length to measure segment lengths, Sequence to produce the iterated indices/parameters or point positions, and PolyLine to connect the generated points into a visible broken-line approximation. The main objects used include the point P, the iteration index n, labeling/parameters such as Text1 and st, intermediate points S and T, function-related entities like f and W, and controlling parameters a, b, c, d to shape the configuration. Suitable for middle school to early university learners, especially for geometry construction practice, dynamic visualization, and exploratory learning of how sequences generate geometric patterns.