Editing Coordinate system (section)

===Other commonly used systems===
Some other common coordinate systems are the following:
* [[Curvilinear coordinates]] are a generalization of coordinate systems generally; the system is based on the intersection of curves.
** [[Orthogonal coordinates]]: [[coordinate surface]]s meet at right angles
** [[Skew coordinates]]: [[coordinate surface]]s are not orthogonal
* The [[Log-polar coordinates|log-polar coordinate system]] represents a point in the plane by the logarithm of the distance from the origin and an angle measured from a reference line intersecting the origin.
* [[Plücker coordinates]] are a way of representing lines in 3D Euclidean space using a six-tuple of numbers as [[homogeneous coordinates]].
* [[Generalized coordinates]] are used in the [[Lagrangian mechanics|Lagrangian]] treatment of mechanics.
* [[Canonical coordinates]] are used in the [[Hamiltonian mechanics|Hamiltonian]] treatment of mechanics.
* [[Barycentric coordinate system]] as used for [[ternary plot]]s and more generally in the analysis of [[triangle]]s.
* [[Trilinear coordinates]] are used in the context of triangles.

There are ways of describing curves without coordinates, using [[intrinsic equation]]s that use invariant quantities such as [[curvature]] and [[arc length]]. These include:
* The [[Whewell equation]] relates arc length and the [[tangential angle]].
* The [[Cesàro equation]] relates arc length and curvature.