# Calculation of optimal values of measured lenghts for accurate determination of small segments

2014;
: pp. 42 - 47
Accepted: March 24, 2014
1
Lviv Polytechnic National University
2
Department of Cartography and Geospatial Modeling, Institute of Geodesy, Lviv Polytechnic National University
3
Department of Geodesy, Lviv polytechnic National University
4
Lviv Ivan Franko National University

The paper considers a method of minimizing error when the linear values are determined by measured distances and angles by device that is located not directly ahead of determined intervals. The formula is given for choosing the optimal distance and angles to determined objects. The optimal distances and angles are depended on the defined linear segments and the accuracy of the measured distances and angles to determined objects. As can be seen from the analysis of the determination of the formulas accuracy of determined segments are several times (from 5 to 25 times) higher than the precision of measurements, which define these segments. The graphs of accuracy of defined segments by the accuracy of the measured distances and angles are also given. The proposed method can be used to calculate the accuracy of the previous determination of small segments when using the devices for measuring linear and angular values of specified accuracy. Measurement of small segments with high accuracy requires special instruments or devices. For example, to determine the length of the meter and decimeter ranges of leveling rods, that are used in II, III and IV leveling classes, one need to have control meter or special comparator. Using the proposed method it is possible to compare above mentioned rods using electronic total stations. The proposed method can also measure the phase section of exemplary basis, create a reference base for angular measurements, installing equipment in project position, observe deformations of buildings and equipment as well as numerous other engineering tasks.

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