Динамика точек треугольника Рёло
The paper studies a one-parametric family of trajectories of points in the Reuleaux triangle formed by its rolling within a square. The bifurcation values that determine the qualitative behavior of the trajectory are found. The trajectory components, their number and equations are determined. For all values that are greater than the first bifurcation value a ratio of an area of a figure’s square bounded by the trajectory and its circumscribed square area is calculated. The best approximation to a square is found.