Because each of these displacements has a screw axis, the movement has an associated ruled surface known as a " screw surface ."
22.
A ruled surface can always be described ( at least locally ) as the set of points swept by a moving straight line.
23.
Both the hyperboloid of one sheet and the hyperbolic paraboloid are ruled surfaces, meaning that they can be made up from a family of straight lines.
24.
In geometry, a "'Catalan surface "', named after the Belgian mathematician Eug�ne Charles Catalan, is a ruled surface all of whose rulings are parallel to a fixed plane.
25.
The Gaussian curvature of the ruled surface vanishes if and only if and are proportional, This condition is equivalent to the surface being the developable along the curve.
26.
The interior of the roof will be finished with a white, smooth ceiling that forms a subtle ruled surface between the clerestories as the steel members angle upwards.
27.
One consequence of this is that all " developable " surfaces embedded in 3D-space are ruled surfaces ( though hyperboloids are examples of ruled surfaces which are not developable ).
28.
One consequence of this is that all " developable " surfaces embedded in 3D-space are ruled surfaces ( though hyperboloids are examples of ruled surfaces which are not developable ).
29.
In the second case, the ruled surface birational to " X " is not unique, though there is a unique one isomorphic to the product of the projective line and a curve.
30.
In geometry, a "'right conoid "'is a ruled surface generated by a family of straight lines that all intersect perpendicularly to a fixed straight line, called the " axis " of the right conoid.
