Vol 156
Pages:
202-204
Research article
Surveying and geodesy

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

• 1 — St. Petersburg State Transport University
• 2 — St. Petersburg Branch of the Military Engineering University
• 3 — St. Petersburg Branch of the Military Engineering University
Date submitted:
2003-06-22
Date accepted:
2003-07-08
Date published:
2004-01-01

## Abstract

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.

## References

1. Большаков В.Д. Уравнение геодезических построений: Справочное пособие / В.Д.Большаков, Ю.И.Маркузе, В.В.Голубев. М.: Недра, 1989. 413 с.
2. Бронштейн И.Н. Справочник по математике для инженеров и учащихся втузов / И.Н.Бронштейн, К.А.Семендяев. М.: Наука, Гл. ред. физ.-мат. лит., 1986. 544 с.

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