Ruled surface

This article defines a property that makes sense for a surface embedded in

${\mathbb{R}}^3$

, viz three-dimensional Euclidean space. The property is invariant under orthogonal transformations and scaling, i.e., under all similarity transformations.
View other such properties

Definition

A ruled surface is a surface in ${\mathbb{R}}^3$ with the property that for any point on the surface, there is a line through that point lying on the surface.

Relation with other properties

Stronger properties

• Doubly ruled surface
• Developable surface