developable surface sentence in Hindi
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- The cone and the plane are all developable surfaces.
- Formally, in mathematics, a developable surface is a surface with zero Gaussian curvature.
- In particular, the twisted paper model is a developable surface, having zero Gaussian curvature.
- Developable surfaces have several practical applications.
- While the first step inevitably distorts some properties of the globe, the developable surface can then be unfolded without further distortion.
- The three developable surfaces ( plane, cylinder, cone ) provide useful models for understanding, describing, and developing map projections.
- Because of this, many developable surfaces can be end-point of a line fixed whilst moving the other end-point in a circle.
- An important class of such surfaces are the developable surfaces : surfaces that can be flattened to a plane without stretching; examples include the cone.
- A surface that can be unfolded or unrolled into a plane or sheet without stretching, tearing or shrinking is called a " developable surface ".
- If at least one of the principal curvatures is zero at every point, then the Gaussian curvature will be 0 and the surface is a developable surface.
- In particular, if one of the surfaces is a plane, then the other is called a developable surface : thus a developable surface is one which is locally isometric to a plane.
- In particular, if one of the surfaces is a plane, then the other is called a developable surface : thus a developable surface is one which is locally isometric to a plane.
- One way of describing a projection is first to project from the Earth's surface to a developable surface such as a cylinder or cone, and then to unroll the surface into a plane.
- Around the same time period, Ron Resch patented some tessellation patterns as part of his explorations into kinetic sculpture and developable surfaces, although his work was not known by the origami community until the 1980s.
- The sphere and ellipsoid do not have developable surfaces, so any projection of them onto a plane will have to distort the image . ( To compare, one cannot flatten an orange peel without tearing and warping it .)
- With the exceptions of the plane, a cylinder, and a cone, every developable surface in three-dimensional Euclidean space is the tangential developable of a certain curve, the "'edge of regression " '.
- In addition to his seminal work on FEM, his papers included works on iterative methods, grid generation, and integral equations in the context of FEM . He also made contributions concerning numerical applications of real-world applications, including solid mechanics, acoustics, and jets and sprays, as well as computational geometry as it applied to the modeling of developable surfaces.
- The aspect describes how the developable surface is placed relative to the globe : it may be " normal " ( such that the surface's axis of symmetry coincides with the Earth's axis ), " transverse " ( at right angles to the Earth's axis ) or " oblique " ( any angle in between ).
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