Explanation of calculation methods

Description

The documentation provided by DATAflor CAD is generated is REB-compliant. Only the following formulas (REB 23.003) are used when writing quantity statements:

Calculation formulas REB 23.003

Formula 00
Formula 01
Formula 02
Formula 03
Formula 04
Formula 05
Formula 06
Formula 07
Formula 08
Formula 09
Formula 10
Formula 11
Formula 12
Formula 13
Formula 14
Formula 15
Formula 20
Formula 21
Formula 22
Formula 23
Formula 24
Formula 30
Formula 31
Formula 32
Formula 91
Formula 99

2D area calculation according to Gauss-Elling

The procedure for calculating the area according to Gauß-Elling is briefly explained using the following example. The area of ​​the example polygon is to be calculated:

The following auxiliary figures are created and calculated for the area calculation:

Area 1: from (121,115) to (121,0) to (100,0) to (100,100) ⇒ A1 = 2257,5 m²
Area 2: from (121,115) to (135,112) to (135,0) to (121,0) ⇒ A2 = 1589 m²
Area 3: from (135,112) to (135,0) to (130,0) to (130,95) ⇒ A3 = 517,5 m²
Area 4: from (130,95) to (130,0) to (100,0) to (100,100) ⇒ A4 = 2925 m²

To determine the area of ​​the example polygon, add areas 1 and 2 and subtract areas 3 and 4:

A1 + A2 - A3 - A4 = 404 m²


Further steps