## Coordinate Systems

With this you may transform three-dimensional cartesian coordinates into three-dimensional polar coordinates or cylindrical coordinates and vice versa. Cartesian coordinates

In a cartesian coordinate system (x|y|z) a point is located by its distance from each of three mutually perpendicular intersecting lines with the same unit of length. Polar coordinates

In a polar coordinate system (r|φ|Θ) a point is located by its radius vector, the angle of rotation φ (phi) on the equatorial plane and the angle of elevation Θ (Theta) from the equatorial plane. Cylindrical coordinates

In a cylindrical coordinate system (ρ|φ|z) a point is located by its distance ρ (rho) from the cylinder axis, the angle of rotation φ (phi) around the axis and the altitude z above the origin.

### Example:

```cartesian            polar                           cylindrical
x  =  1              r  =  1.7320508           ρ  =  1.4142136
y  =  1             φ  =  45°                      φ  =  45°
z  =  1             Θ =  35,26439°            z  =  1      ```