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A. I. Kondratev
A. I. Kondratev
St. Petersburg Branch of the Military Engineering University
St. Petersburg Branch of the Military Engineering University

Articles

Surveying and geodesy
  • Date submitted
    2003-06-22
  • Date accepted
    2003-07-08
  • Date published
    2004-01-01

Determining the area of a plot using the coordinates of additional points of its sides

Article preview

For a polygonal land plot with n vertices, it is proposed to determine along each side of the plot the coordinates of additional points. By performing a linear approximation on these data, n straight line equations can be obtained. The intersection of the (i – 1)th and ith straight lines will give the coordinates of the ith boundary marker, by which, using the known formulas, the area of the land lot can be calculated. Model studies of approximation accuracy and accuracy of determining the coordinates of boundary marks were made. It is shown that if the coordinates of intermediate points in every 2 meters along the sides of a square with side length 20 meters, the accuracy of definition of coordinates of boundary marks can be increased in 1.8 times and in 2.4 times if the points in every 1 meter. The corresponding number of times will also increase the accuracy of determining the area of the plot.

How to cite: Bryn M.Y., Astapovich A.V., Kondratev A.I. Determining the area of a plot using the coordinates of additional points of its sides // Journal of Mining Institute. 2004. Vol. 156. p. 202-204.