INVESTIGATION OF THE CENTER COORDINATES OF A CIRCLE WITH UNKNOWN RADIUS USING POLAR MEASUREMENTS

Circular pools or buildings may be encountered in production of maps for making development plans, in the first facility cadaster and on land. Geodetic measurements may be made at least three different points of the circle-shaped pool or building to obtain positions in a coordinate system of measure...

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Bibliographic Details
Main Authors: Hüseyin İNCE, Nuri ERDEM
Format: Article
Language:English
Published: Mersin University 2020-02-01
Series:International Journal of Engineering and Geosciences
Subjects:
Online Access:https://dergipark.org.tr/tr/pub/ijeg/issue/48877/580373?publisher=https-www-selcuk-edu-tr-muhendislik-harita-akademik-personel-bilgi-3325-tr
Description
Summary:Circular pools or buildings may be encountered in production of maps for making development plans, in the first facility cadaster and on land. Geodetic measurements may be made at least three different points of the circle-shaped pool or building to obtain positions in a coordinate system of measurement points with a geodetic ground-based electronic tachometer after connection to another polygon. It is possible to get a circle from these three points where the coordinates can be calculated, the coordinates of the center of the circle and the radius of the circle with the help of drawing programs (netcad, cartocad, geocad ...). In drawing programs related to cartography, the details of passing the circle from three points, the coordinates of the center of the circle and the radius of the circle cannot be accessed because the details are kept proprietary by the software companies. We have been curious about how the coordinates of the center of the circle or the radius of the circle in question are calculated by using the subprograms on a computer. Apart from the information hidden by the software companies, two studies which are indirectly close to the subject mentioned in the application have been identified with respect to the solution of the problem on the computer. However, it was found that these studies did not directly illuminate our research topic, so this issue should be investigated. This study presented theoretical solutions for the topic, made numerical implementations and obtained findings and interpretations.
ISSN:2548-0960