A slope is a portion of land that presents an inclination that can assume a situation of instability after an original profile has been modified with artificial relevant interventions that have been able to modify the initial equilibrium conditions. The equilibrium equations and the constitutive equations that describe the ideal behavior of the land are used for the study of the stability of slopes. The grounds are multiphase systems which makes the equations of equilibrium of great complexity, so we must introduce simplified assumptions. The constitutive laws of soil implificadas are applied to a perfectly plastic rigid model. We accept the hypothesis that soil resistance is function of cohesion and the angle of internal friction, characteristic of the plastic State, to give validity to the criterion of Mohr-Coulomb break. The method of balance limit (LEM) studied the equilibrium of a rigid body (talus) on a sliding surface. Assuming that the balance was met compares the tensions of cutting with the maximum allowable voltage, valued by the breakage of Coulomb criterion. Some of the final balance, as the major methods, consider the overall balance of rigid body. Others, when there is a lack of homogeneity, divide the body into slices whereas the balance of each, as Bishop, Janbu or Fellenius methods. The method of slices for the study of the stability of a slope is a method of last balance that divides the mass of land susceptible to slipping into slices. Original author and source of the article