The article deals with the situation where two of the precision parameters of a polygonometric stroke (M and μ) and the mathematical model of its geometry (inverse weight) are given by the customer and the progress of the project, i. e. its geometric scheme on the site survey, not yet. In this case it is necessary to calculate the geometrical parameters of the progress that would correspond to above specified values of its elements. In this case, the geometric parameters are related to the stroke length and the number of parties in it. The methods of calculating these parameters are offered. It is shown that the specified elements of the stroke can correspond to several variants of its geometric schemes. Numerical examples are given, including those in the presence of the additional limitations caused by the topographical conditions of the territory sought and technical requirements design of construction projects imposed on geometric parameters of the stroke.