Gauss-Elling method
The Gauss-Elling method is a tabular method for calculating the area of polygons according to coordinates. It was named after Carl Friedrich Gauß .
method
The x and y values of all points of the polygon to be calculated are written one below the other in a table. Then the Gaussian trapezoidal formula is used for each line, including the line in front of it (the last line is used here for the first line).
Each line calculates a positive or negative trapezoidal area. The sum of all these trapezoidal areas gives the total area of the polygon.
Example of a calculation using the Gauss-Elling method