Changes

'''Cylindrical coordinates''' refers to a three-dimensional coordinate system used to describe the location of a point in space based on the distance from the origin in the x-y plane "r", the angle measured in the x-y plane between the point and the x axis "θ", the distance perpendicular to the x-y plane:  (r,θ,z).  

'''Cylindrical coordinates''' refers to a three-dimensional coordinate system used to describe the location of a point in space based on the distance from the origin in the x-y plane <math>r</math>, the angle measured in the x-y plane between the point and the x axis <math>\theta</math>, the distance perpendicular to the x-y plane:  <math>(r, \theta. z)</math>  

In a sense, cylindrical coordinates are polar coordinates with a third dimension added: (r,θ) correspond to the polar coordinates for (x,y). This is in contrast to [[spherical coordinates]], where z is replaced by an angle, just like x and y are in polar coordinates.

In a sense, cylindrical coordinates are polar coordinates with a third dimension added: <math>(r, \theta)</math> correspond to the polar coordinates for <math>(x, y)</math>. This is in contrast to [[spherical coordinates]], where <math>z</math> is replaced by an angle, just like x and y are in polar coordinates.

The equations converting the parameters are as follows:

The equations converting the parameters are as follows:

:r² = x² + y²

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

:tan(θ) = y/x

:<math>\tan{\theta} = \frac{y}{x}</math>

:x = r*cos(θ)

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

:y = r*sin(θ)

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

 

[[Category:Mathematics]]

[[Category:Mathematics]]

[[Category:Geometry]]

[[Category:Geometry]]