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ruled surface

American  

noun

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


Etymology

Origin of ruled surface

First recorded in 1860–65

Example Sentences

Examples are provided to illustrate real-world usage of words in context. Any opinions expressed do not reflect the views of Dictionary.com.

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

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

The degree of a ruled surface qua line geometry is the number of its generating lines contained in a linear complex.

From Project Gutenberg

The lines common to three complexes of degrees, n1n2n3, form a ruled surface of degree 2n1n2n3; but not every ruled surface is the complete intersection of three complexes.

From Project Gutenberg