The Compendium Geometry is an eBook providing facts, formulas and explanations about geometry. 
Home Coordinate Systems 3D Spherical Coordinate System  
See also: Polar Coordinate System, Cartesian Coordinate System, Cylindrical Coordinate System, Conversion between 3D Coordinate Systems, Sphere  
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Spherical Coordinate SystemThe spherical coordinate system specifies the position of a point P by the combination of its distance to the origin (radius r), the angle φ between the xaxis and the line OQ, and the angle θ between the radius and the zaxis. Note, that the angles are positive in counterclockwise direction and negative in clockwise direction. The values of the angles are measured in radians (0..2π) or degrees (0..360°). To specify a particular point in a spherical coordinate system, you indicate the coordinate values in the form [r, θ, φ].
Please note that the angle φ corresponds to the longitude in geography, and the angle θ corresponds to the colatitude (= 90°  latitude). Further, one should be aware that the convention for naming the two angles is sometimes reversed in the literature, which may cause unnecessary confusion.


Home Coordinate Systems 3D Spherical Coordinate System 