## List of Curves and Shapes Geometry Math Formulas Latex Code

rockingdingo 2023-05-24 #Math #Geometry 1 0

In this blog, we will summarize the latex code for Curves and Shapes, Geometry Math Formulas. Topics include Distance Between Two Points 2D, Distance Between Two Points 3D, Eccentricity of a Hyperbola, Eccentricity of an Ellipse, Circle, Hyperbola, Hyperbolic Paraboloid, Parabola, Plane, Sphere, Ellipse, Ellipsoid, Elliptic Cone, Elliptic Cylinder, Elliptic Paraboloid, Spiral of Archimedes, etc.

### Curves and Shapes

• #### Distance Between Two Points 2D

Math,Geometry

#### Latex Code

            d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }


#### Explanation

Latex code for Distance Between Two Points 2D.

• : Distance
• : Point 1
• : Point 2

• #### Distance Between Two Points 3D

Math,Geometry

#### Latex Code

            d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 + \left( {z_1 - z_2 } \right)^2 }


#### Explanation

Latex code for Distance Between Two Points 3D.

• : Distance
• : Point 1
• : Point 2
• : Point 3

• #### Eccentricity of a Hyperbola

Math,Geometry

#### Latex Code

            \varepsilon = \frac{{\sqrt {a^2 + b^2 } }}{a}


#### Explanation

Latex code for Eccentricity of a Hyperbola.

• : Eccentricity

• #### Eccentricity of an Ellipse

Math,Geometry

#### Latex Code

            \varepsilon = \frac{{\sqrt {a^2 - b^2 } }}{a}


#### Explanation

Latex code for Eccentricity of an Ellipse.

• : Eccentricity

• #### Circle

Math,Geometry

#### Latex Code

            \left( {x - x_0 } \right)^2 + \left( {y - y_0 } \right)^2 = R^2


#### Explanation

Latex code for Circle

• : Coordinates of Circle Center

• #### Hyperbola

Math,Geometry

#### Latex Code

            \frac{{\left( {x - x_0 } \right)^2 }}{{a^2 }} - \frac{{\left( {y - y_0 } \right)^2 }}{{b^2 }} = 1


#### Explanation

Latex code for Hyperbola.

• : Length a
• : Length b
• : Center Point

• #### Hyperbolic Paraboloid

Math,Geometry

#### Latex Code

            \frac{{\left( {x - x_0 } \right)^2 }}{{a^2 }} - \frac{{\left( {y - y_0 } \right)^2 }}{{b^2 }} = \frac{{\left( {z - z_0 } \right)}}{c}


#### Explanation

Latex code for Hyperbola.

• : Length a
• : Length b
• : Center Point

• #### Parabola

Math,Geometry

#### Latex Code

            \left( {y - y_0 } \right)^2 = 4a\left( {x - x_0 } \right)


#### Explanation

Latex code for Parabola.

• #### Plane

Math,Geometry

#### Latex Code

            Ax + By + Cz + D = 0


#### Explanation

Latex code for Parabola.

• : Coefficient of x
• : Coefficient of y
• : Coefficient of z
• : Bias

• #### Sphere

Math,Geometry

#### Latex Code

            \left( {x - x_0 } \right)^2 + \left( {y - y_0 } \right)^2 + \left( {z - z_0 } \right)^2 = R^2


#### Explanation

Latex code for Parabola.

• : Center Coordinates of Sphere

• #### Ellipse

Math,Geometry

#### Latex Code

            \frac{{\left( {x - x_0 } \right)^2 }}{{a^2 }} + \frac{{\left( {y - y_0 } \right)^2 }}{{b^2 }} = 1


#### Explanation

Latex code for Ellipse.

• : Center Coordinates of Ellipse
• : Length of Axis a
• : Length of Axis b

• #### Ellipsoid

Math,Geometry

#### Latex Code

            \frac{{\left( {x - x_0 } \right)^2 }}{{a^2 }} + \frac{{\left( {y - y_0 } \right)^2 }}{{b^2 }} + \frac{{\left( {z - z_0 } \right)^2 }}{{c^2 }} = 1


#### Explanation

Latex code for Ellipsoid.

• : Center Coordinates of Ellipsoid
• : Length of Axis a
• : Length of Axis b
• : Length of Axis c

• #### Elliptic Cone

Math,Geometry

#### Latex Code

            \frac{{\left( {x - x_0 } \right)^2 }}{{a^2 }} + \frac{{\left( {y - y_0 } \right)^2 }}{{b^2 }} = \frac{{\left( {z - z_0 } \right)^2 }}{{c^2 }}


#### Explanation

Latex code for Elliptic Cone.

• : Center Coordinates of Elliptic Cone
• : Length of Axis a
• : Length of Axis b
• : Length of Axis c

• #### Elliptic Cylinder

Math,Geometry

#### Latex Code

            \frac{{\left( {x - x_0 } \right)^2 }}{{a^2 }} + \frac{{\left( {y - y_0 } \right)^2 }}{{b^2 }} = 1


#### Explanation

Latex code for Elliptic Cylinder.

• : Center Coordinates of Elliptic Cylinder
• : Length of Axis x
• : Length of Axis y

• #### Elliptic Paraboloid

Math,Geometry

#### Latex Code

            \frac{{\left( {x - x_0 } \right)^2 }}{{a^2 }} + \frac{{\left( {y - y_0 } \right)^2 }}{{b^2 }} = \frac{{\left( {z - z_0 } \right)}}{c}


#### Explanation

Latex code for Elliptic Paraboloid.

• : Center Coordinates of Elliptic Paraboloid.
• : Length of Axis x
• : Length of Axis y
• : Length of Axis z

• #### Spiral of Archimedes

Math,Geometry

#### Latex Code

            r = a \theta


#### Explanation

Latex code for Spiral of Archimedes.

• : r
• : a
• : Angle Theta