Benutzer:Hans G. Oberlack/Q 0.0000000

The square is one base element

General case

Segments in the general case

The side length of the square $=s$

Perimeters in the general case

Perimeter of base square$=4\cdot s$

Areas in the general case

Area of the base square $=s^{2}$

Centroids in the general case

Centroid positions are measured from the lower left point of the square.
Centroid positions of the base square: $x_{c}={\frac {s}{2}}\quad y_{c}={\frac {s}{2}}$

Normalised case

In the normalised case the area of the base is set to 1.
$||ABCD||=1\Rightarrow s^{2}=1\Rightarrow s=1$

Segments in the normalised case

Segment of the base square $s=1$

Perimeters in the normalised case

Perimeter of base square$=4$

Areas in the normalised case

Area of the base square $=1$

Centroids in the normalised case

Centroid positions are measured from the lower left point of the square.
Centroid positions of the base square: $x_{c}={\frac {1}{2}}\quad y_{c}={\frac {1}{2}}$