In this paper the new transformation of coordinates in three-dimensional space has been given. This transformation allows determination of the coordinates of the points in the new Cartesian coordinate system based on the reference point with known coordinates in initial Cartesian coordinate system.

The article presents a family of modified the so called general polynomial transition curves, determined with the purpose of being applied at the design of the grade line of roads. The designing conditions of those curves have been provided alongside detailed information on determination of particular designing parameters. The application methods of those curves in the process of the grade line designing, based upon economically justified minimization of earth works, have been presented as well.

The paper presents the method of robust estimation of variance coefficient. The concept of YRestimation presented in (6] is generalised in case of dependent observations. The basis of the method is usage of reinforcement matrix which guarantees the robustness of the estimate. The reinforcement matrix which is closely connected with the weight function of M-estimation, gives a possibility to perform robust adjustment. Thus such a method is also presented. At last, an example is shown too.

The article deals with the problem of application of the dynamic model of the geodetic control network in monitoring the subsidence of earthen structures. A tentative model of a control network coupled with a soil environment functioning model has been presented herein alongside an organization pattern of measuring and control works. Against such background the purposefulness of the use of the suggested algorithm in monitoring the condition of earthen structures has been discussed together with specification of the conditions that should be satisfied to make the use of the algorithm possible.

This paper presents a new method of measuring of small inclination angles. The method consists in application of a pendulum with a diaphragm coworking with an optoelectronical barrier. Results of studies of the constructed device are also presented, they focused on determination of drift of the measured inclination angles as well as variation of the period of the complete oscillation of the pendulum for positive and negative angles of inclination. Variation of mean errors of the studied magnitudes for all test measuring series were analyzed graphically.

The article is an extension of the suggestion published earlier on determination of the relative position of a point. Introduction of formulas to convert ortho-Cartesian coordinates of points to nondimensional numerical coefficients alongside reverse converting formulas is the main part of the thesis. The said formulas have been completed with demonstrative examples that verify the correctness thereof.

The article presents the putting into practice of a neural state estimator for navigational measurements. One of the basic problems of sea navigation is considered, which is the statistic working out of navigational measurements with the purpose of determining the estimated vector of the vessel's movement and position.