Editing Coordinate system (section)

==Coordinate planes/surfaces==
{{Anchor|Coordinate plane|Coordinate surface}}
{{Redirect-distinguish|Coordinate plane|Plane coordinates}}
[[File:Parabolic coordinates 3D.png|thumb|left|Coordinate surfaces of the three-dimensional paraboloidal coordinates.]]

In three-dimensional space, if one coordinate is held constant and the other two are allowed to vary, then the resulting surface is called a '''coordinate surface'''. For example, the coordinate surfaces obtained by holding ''ρ'' constant in the [[spherical coordinate system]] are the spheres with center at the origin. In three-dimensional space the intersection of two coordinate surfaces is a coordinate curve. In the Cartesian coordinate system we may speak of '''coordinate planes'''.
Similarly, '''coordinate hypersurfaces''' are the {{nowrap|(''n'' − 1)}}-dimensional spaces resulting from fixing a single coordinate of an ''n''-dimensional coordinate system.<ref> {{cite book |title=A Computational Differential Geometry Approach to Grid Generation |first=Vladimir D.|last=Liseikin|publisher=Springer|year=2007|isbn=978-3-540-34235-9|page=38}}</ref>