Pappus Area Theorem Dynamic Demonstration

This GeoGebra example demonstrates the Pappus area theorem through an interactive geometric construction. It visualizes how areas of certain regions relate to each other, involving circles, triangles, centroids (barycenters), circumcircles, symmetry transformations, and area calculations. The construction uses commands such as Circle, Line, Point, Intersect, Midpoint, Segment, Circumference, PointIn, and Area to create multiple circles, lines, intersection points, midpoints, segments, and interior points. Dynamic text objects display computed area values, allowing users to explore the theorem's area relationships. Suitable for high school or college geometry courses, this example helps students understand the Pappus area theorem, centroid properties, and the connection between geometric construction and area measurement.