## List of Coordinate Systems Geometry Math Formulas Latex Code

rockingdingo 2023-05-23 #Geometry #Math 0 0

List of Coordinate Systems Geometry Math Formulas Latex Code

In this blog, we will summarize the latex code for Geometry Coordinate Systems, Math Formulas. Topics include Cartesian to Cylindrical Coordinates, Cartesian to Polar Coordinates, Cartesian to Spherical Coordinates, Cylindrical to Spherical Coordinates, etc.

### Coordinate Systems

• #### Cartesian to Cylindrical Coordinates

Math,Geometry

#### Latex Code

            \begin{array}{*{20}c} {x = r\cos \theta } & {r = \sqrt {x^2 + y^2 } } & {} \\ {y = r\sin \theta } & {\theta = \tan ^{ - 1} \left( {\frac{y}{x}} \right)} & {} \\ {z = z} & {z = z} & {} \\ \end{array}


#### Explanation

Latex code for Cartesian to Cylindrical Coordinates.

• : Cylindrical Coordinates

• #### Cartesian to Polar Coordinates

Math,Geometry

#### Latex Code

            \begin{array}{*{20}c} {x = r\cos \theta } & {r = \sqrt {x^2 + y^2 } } \\ {y = r\sin \theta } & {\theta = \tan ^{ - 1} \left( {\frac{y}{x}} \right)} \\ \end{array}


#### Explanation

Latex code for Cartesian to Polar Coordinates.

• : Polar Coordinates

• #### Cartesian to Spherical Coordinates

Math,Geometry

#### Latex Code

            \begin{array}{*{20}c} {x = R\sin \theta \cos \phi } & {R = \sqrt {x^2 + y^2 + z^2 } } & {} \\ {y = R\sin \theta \sin \phi } & {\phi = \tan ^{ - 1} \left( {\frac{y}{x}} \right)} & {} \\ {z = R\cos \theta } & {\theta = \cos ^{ - 1} \left( {\frac{z}{{\sqrt {x^2 + y^2 + z^2 } }}} \right)} & {} \\ \end{array}


#### Explanation

Latex code for Cartesian to Spherical Coordinates.

• : Spherical Coordinates

• #### Cylindrical to Spherical Coordinates

Math,Geometry

#### Latex Code

            \begin{array}{*{20}c} {r = R\sin \theta } & {R = \sqrt {r^2 + z^2 } } & {} \\ {z = R\sin \theta } & {\phi = \theta } & {} \\ {\theta = \phi } & {\theta = \tan ^{ - 1} \left( {\frac{r}{z}} \right)} & {} \\ \end{array}


#### Explanation

Latex code for Cylindrical to Spherical Coordinates.

• : Spherical Coordinates