Calculating the Position and Radius of the Center of a Curve Whose Horizontal Distance and Deflection Angle Are Measured From a Station in the Line of the Braces to the Circle Arc

Authors : Hüseyin İNCE, Nuri ERDEM, Fazlı Engin TOMBUŞ, İbrahim Murat OZULU

Pages : 71-78

View : 28 | Download : 12

Publication Date : 2021-12-22

Article Type : Research Paper

Abstract :In the production of the existing map, which is the basis for the construction of the zoning plans, and in the first facility cadastre, structures such as pools, buildings and minarets with a circle base are encountered. From a geodetic station point, it is possible to obtain the position and radius of the center of this structure whose base is circular with two consecutive beam lengths and polar measurements marked on such a structure. As a matter of fact, this issue has been seen in a study on the subject. In this study, the geodetic position of the center of the structure and the radius of the structure were tried to be obtained from a station point by using the horizontal angle between the tangent points of a structure with a circular base and the horizontal distance measured in the direction of the bisector of this angle. Since some publications of foreign origin do not enlighten the subject of research, it was deemed necessary to investigate the subject. In this study, first a theoretical explanation of the research subject was made, a numerical application was made on the subject and the findings and opinions obtained were stated.
Keywords : Radius Calculation, Finding Circle Center Coordinate, Polar Measurements