ruled surface

American  

noun

Geometry.

1. a surface that can be generated by a straight line, as a cylinder or cone.

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Etymology

Origin of ruled surface

First recorded in 1860–65

Example Sentences

A Ruled Surface, Regulus or Skew is a configuration of lines which satisfy three conditions, and therefore depend on only one parameter.

From Project Gutenberg

Since a ruled surface contains only ∞� elements, this theory is practically the same as that of curves.

From Project Gutenberg

Now from the form of the above equation this is a ruled surface, and through every point of it two generators pass.

From Project Gutenberg

In this case, corresponding points will be joined by lines which do not lie in a plane, but on some surface, which like every surface generated by lines is called a ruled surface.

From Project Gutenberg

A single infinite number of lines, that is, all lines which satisfy three conditions, or which belong to three complexes, form a ruled surface; e.g. one set of lines on a ruled quadric surface, or developable surfaces which are formed by the tangents to a curve.

From Project Gutenberg