In this paper the computer programming realization of the Cartesian mathematical model and algorithm is discussed in the area of computational dynamics of multibody systems with holonomic constrains in two-dimension space, a testing and some theoretic analysis is developed for obtaining the mountain bike (MTB) dynamic character on riding.

By three elaborate case studies(Cardano's Ars Magna, Descartes' Geometry and Wallis' interpolation), joined with the general investigation into the historical backgrounds, this paper supplies strong support and new vision for a profound understanding of the alg.