The article describes the methodology of a solution to the multiple azimuthal cut by new formulae, in which there are only coordinates of base stations and position angles of a cut direction. There are results of the sign simulation, confirming the application rightfulness of mentioned formulae. The method of using geometrical interpretation of position mistake of a determining point for accuracy rating and azimuthal cut optimization by a circle of standards with an inner excentricity is described in details. The method of using a circle of standards to find a position mistake of determining point in any two orthogonally related directions simultaneously is shown. There is the methodology of azimuthal cut E-optimization. There are shown two ways of solving this task, based on the choice of appropriate location of base stations or on the detection of geometrical parameters of accessory angular measurements. There is shown the method of using azimuthal cut to determine the heeling of tower- rounded structures.

Использование фотоизображений с целью определения геометрических параметров крупногабаритных объектов 47 Вестник ЮУрГУ. Серия «Строительство и архитектура». 2019. Т. 19, № 3. С. 45-54 а) б) Рис. 3. Интерфейс программы PlumbBob, установленной на ноутбуке (а), и пример реального фотоизображения объекта (б) Попов Е.В., Раскаткина О.В. Использование фотоизображений с целью определения геометрических параметров крупногабаритных объектов 49 Вестник ЮУрГУ. Серия «Строительство и архитектура». 2019. Т. 19, № 3. С. 45-54 Попов Евгений Владимирович, доктор технических наук, профессор, Нижегородский государственный архитектурно-строительный университет, кафедра инженерной геометрии, компьютерной графики и автоматизированного проектирования (Нижний Новгород),

The methods of constructing a quadratic polygon and a circle of standards with internal eccentricity are considered for assessing the accuracy of geodetic notches with any combination of angular and linear equal or unequal measurements. Formulae based on the values of the perimeter and closing of such a polygon are derived. Using these formulas, it is possible to determine the mean square errors of a point simultaneously along any two mutually normal directions and the correlation coefficient between them, the eigenvalues of the covariance matrices, the number of conditionality of the matrix, its trace, determinant and cofactor. Based on the values of the perimeter and the closing quadratic polygon only, you can find almost any scalar accuracy estimates in the form of radii- Vectors, areas and other characteristics of various geometric shapes, such as a circle, ellipse, saddle, and to formulate different conditions for the A-, D-, E-, and I-optimization of serifs in a new way.

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This article describes the various options for using angular and linear-angular triangulation to create the mark out networks on the floors for high-rise buildings construction. A polynomial addition of geometric data is proposed to obtain an estimate of accuracy. The method for estimating the accuracy of geometric constructions using gradients of directions, angles and distances is considered. The numerical example shows the simplicity and high efficiency of this method. The calculations were performed using spreadsheets.