Changes

'''Spherical coordinates''' are a way to describe the location of a point in three-dimensional space based on "r", the distance from the origin (where x=y=z=0); "θ", the angle between the point and the x-z plane (in the positive x direction); and Ψ, the angle between the point and the z axis (in the positive z direction).  Thus, each point is described by: (r,θ,Ψ).

'''Spherical coordinates''' are a way to describe the location of a point in three-dimensional space based on <math>r</math>, the distance from the origin (where <math>x=y=z=0</math>); <math>\theta</math>, the angle between the point and the x-z plane (in the positive x direction); and <math>\phi</math>, the angle between the point and the z axis (in the positive z direction).  Thus, each point is described by: <math>(r, \theta, \phi)</math>.

In a sense, cylindrical coordinates are coordinates on a sphere just like [[polar coordinates]] are coordinates on a circle.

In a sense, spherical coordinates are coordinates on a [[sphere]] just like [[polar coordinates]] are coordinates on a [[circle]].

The equations converting the parameters are as follows:

The equations converting the parameters are as follows:

:<math>r^2 = x^2 + y^2 + z^2</math>

:<math>r^2 = x^2 + y^2 + z^2</math>

:x=r*sin(θ)*cos(Ψ)

:<math>x = r \sin{\theta} \cos{\phi}</math>

:y=r*cos(θ)*sin(Ψ)

:<math>y = r \cos{\theta} \sin{\phi}

:z=r*cos(Ψ)

:<math>z = r \cos{\phi}</math>

[[Category:Mathematics]]

[[Category:Mathematics]]

[[Category:Geometry]]

[[Category:Geometry]]