Pythagoras: An Interactive Environment for Plane Geometry

We present a new interactive software for dynamic geometry called Pythagoras. Pythagoras is a useful environment for students, teachers, engineers and scientists. It could be used from defining dynamic trajectories and geometric loci, to discovery of new geometrical relations, simulation of complex mechanical systems and interactive physics experiments. In this paper we combine both the mathematical knowledge and software engineering, presenting some features of Pythagoras related to geometrical loci. The movement facilities and rules involve a mobile element, a path, a direction, speed, acceleration, timing indications, color.