Examples for

# Curves & Surfaces

Curves and surfaces are basic geometric figures embedded in a space. Wolfram|Alpha can visualize curves in 2D or 3D and visualize surfaces in 3D in addition to computing their properties and parameterizations.

Visualize plane curves and compute their properties.

#### Compute properties of a named plane curve:

#### Compare curves:

#### Find curves of a given type:

#### Compute a particular property of a curve:

#### Compute derived curves:

Visualize curves in 3D space and compute their properties.

#### Compute properties of a named space curve:

#### Compute a particular property of a curve:

Draw curve‐like figures for popular objects using parametric equations.

#### Learn about the math behind drawing a popular curve:

#### Get closed-form equations for filled curves:

Visualize surfaces in 3D space and compute their properties.