## Coordinate Systems

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

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.

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

In a **cylindrical coordinate system** (rho|phi|z) a point is located by its distance
rho from the cylinder axis, the angle of rotation 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

### See also:

Wikipedia: Coordinate system