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

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 Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 "Geodesy" to "Geometry" by Various

The ruled surface is, moreover, concave, and hence brings the spectrum to a focus without a telescope.

From A Popular History of Astronomy During the Nineteenth Century Fourth Edition by Clerke, Agnes M. (Agnes Mary)

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

From Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 "Geodesy" to "Geometry" by Various

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 Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 "Geodesy" to "Geometry" by Various

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

From Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 "Geodesy" to "Geometry" by Various