Coordinate System - List of Orthogonal Coordinate Systems

List of Orthogonal Coordinate Systems

In mathematics, two vectors are orthogonal if they are perpendicular. The following coordinate systems all have the properties of being orthogonal coordinate systems, that is the coordinate surfaces meet at right angles.

Orthogonal coordinate systems
Two dimensional orthogonal coordinate systems
  • Cartesian coordinate system
  • Polar coordinate system
  • Parabolic coordinate system
  • Bipolar coordinates
  • Hyperbolic coordinates
  • Elliptic coordinates
Three dimensional orthogonal coordinate systems
  • Cartesian coordinate system
  • Cylindrical coordinate system
  • Spherical coordinate system
  • Parabolic cylindrical coordinates
  • Paraboloidal coordinates
  • Oblate spheroidal coordinates
  • Prolate spheroidal coordinates
  • Ellipsoidal coordinates
  • Elliptic cylindrical coordinates
  • Toroidal coordinates
  • Bispherical coordinates
  • Bipolar cylindrical coordinates
  • Conical coordinates
  • Flat-ring cyclide coordinates
  • Flat-disk cyclide coordinates
  • Bi-cyclide coordinates
  • Cap-cyclide coordinates
  • Concave bi-sinusoidal single-centered coordinates
  • Concave bi-sinusoidal double-centered coordinates
  • Convex inverted-sinusoidal spherically aligned coordinates
  • Quasi-random-intersection cartesian coordinates

Read more about this topic:  Coordinate System

Famous quotes containing the words list of, list and/or systems:

    The advice of their elders to young men is very apt to be as unreal as a list of the hundred best books.
    Oliver Wendell Holmes, Jr. (1841–1935)

    Religious literature has eminent examples, and if we run over our private list of poets, critics, philanthropists and philosophers, we shall find them infected with this dropsy and elephantiasis, which we ought to have tapped.
    Ralph Waldo Emerson (1803–1882)

    What is most original in a man’s nature is often that which is most desperate. Thus new systems are forced on the world by men who simply cannot bear the pain of living with what is. Creators care nothing for their systems except that they be unique. If Hitler had been born in Nazi Germany he wouldn’t have been content to enjoy the atmosphere.
    Leonard Cohen (b. 1934)