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The paper presents a new approach for the analysis of slope stability that is based on thenumerical solution of a differential equation, which describes the thrust force distribution within thepotential sliding mas. It is based on the evaluation of the thrust force value at the endpoint of the slipof the sliding mass into slices that are normal to the slip line and the equilibrium diferential equation isobtained as the slice width approaches zero. Opposed to comon iterative limit equilibrium proceduresthe present method is straightforward and gives an estimate of slope stability at the value of the safetythe soil mass above the trial slip line eliminates the possible development of a tensile thrust force in the stable and critical states of the slope. The location of the upper boundary point of the thrust line is determined by the equilibrium of the upper triangular slice. The method can be applied to any smooth shape of a slip line, i.e., to a slip line without break points. An approximation of the slip and thrust lines by quadratic parabolas is used in the numerical examples for a series of slopes.