Doubly 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 surface embedded in ${\mathbb{R}}^3$ is said to be doubly ruled if given any point in the surface, there are two distinct lines through the point, that lie completely on the surface.

Relation with other properties

Weaker properties

• Ruled surface