Math‎ > ‎

### Coordinate Systems

 Give me a firm place to stand and i will give your rounding errors far away Ways to describe the position of a point space.CartesianA point is expressed as P = xi + yi + zi, where i, j and k are unit vectors parallel to the axes of the coordinate system.`To Cylindrical``r = sqrt(x``2``+y``2``)``θ = arctan y/x``z = z``To Spherical``r = sqrt(x+y+z)``θ = arctan y/x``φ = arctan( ``sqrt(x+y+z) / z ``)`CylindricalA point is made up of r, θ and z. θ is the angle around the z-axis. r is the distance to the point from the z-axis and z is the height of the point above the x-y plane. `To Cartesian``x = r cos ``θ``y = r sin`` ``θ``z = z``To Spherical``r = sqrt(r``2``+z``2``)``θ = ``θ``φ = arctan r/z`SphericalA point is made up of r, θ and φ. r is the distance from the origin to the point. θ is the angle around the z-axis and φ is the angle between the z-axis and line to the point from the origin.`To ``Cartesian``x = r ``cos ``θ`` ``sin ``φ ``y = r sin ``θ`` sin ``φ`` ``z = r cos ``φ``To Cylindrical``θ = ``θ``r = r sin ``φ``z = r cos ``φ`