Line geometry shows us that if we interpolate these straight lines then we get a developable (cylindrical)
ruled surface. Therefore, these curves belong to a developable
ruled surface that is a surface that can be transformed to a plane without tearing or stretching (Figure 2).
I [right arrow] [SOL.sup.3] be a unit speed biharmonic B-slant helix and A its new type
ruled surface in the Sol Space [SOL.sup.3].
Also, it is shown that there is not any cylindrical and developable
ruled surface as a parametric surface and some interesting examples about these surfaces are illustrated.
The family of lines with one parameter in [R.sup.3.sub.1] is called the
ruled surface and each of these lines of this family is named as the rulings of the
ruled surface.
The quotient of [J.sup.w] by the fiberwise multiplication by (-1)-automorphism is a geometrically
ruled surface [F.sub.2n] over [P.sup.1], the section s mapping to a section of pro : [F.sub.2n] [right arrow] [P.sup.1].
A differentiable curve on the dual unit sphere which depends on a real parameter [alpha] corresponds to a
ruled surface in [R.sup.3].
For a current
ruled surface for a penstock lower bend with oval sections [A.sub.1][A.sub.n][B.sub.n][B.sub.1] in a xOyz reference frame (figure 1 "a").
Thus a developable surface is a
ruled surface, where all points of the same generator line share a common tangent plane.
His topics include basic notions in acoustic and electromagnetic diffraction problems, wedge diffraction: radiation by fringe components of surface sources, the axially symmetrical scattering of acoustic waves at bodies of revolution, ray and caustic asymptotics for edge diffracted waves, the diffraction interaction of neighboring edges on a
ruled surface, focusing multiple edge waves diffracted at a disk, and backscattering at a finite-length cylinder.
The S--tangent surface of [gamma] is a
ruled surface