pseudosphere meaning in Hindi

Examples

1. A particularly well-known paper model based on the pseudosphere is due to William Thurston.
2. A paper model based on the pseudosphere was created by William Thurston, however, it was quite delicate.
3. A great implication that the tractrix had was the study of the revolution surface of it around its asymptote : the pseudosphere.
4. Studied by Eugenio Beltrami in 1868, as a surface of constant negative Gaussian curvature, the pseudosphere is a local model of non-Euclidean geometry.
5. A similar situation occurs with the pseudosphere, which curls around on itself although the hyperbolic plane does not; as a result it contains self-intersecting straight lines ( geodesics ) while the hyperbolic plane does not.
6. In his " Essay on an interpretation of non-Euclidean geometry ", Beltrami proposed that this geometry could be realized on a surface of constant negative singularity of the pseudosphere corresponds to a horocycle on the non-Euclidean plane.
7. Much as spherical and hyperbolic spaces can be visualized by an isometric embedding in a flat space of one higher dimension ( as the sphere and pseudosphere respectively ), anti-de Sitter space can be visualized as the Lorentzian analogue of a sphere in a space of one additional dimension.
8. Note that the circular curling of the surface is an artifact of the embedding with no physical significance and is done purely to make the illustration viewable; space does not actually curl around on itself . ( A similar effect can be seen in the tubular shape of the pseudosphere .)
9. Ye with grave can also be found in accented Russian stressed vowels are typically marked with the acute accent instead of the grave accent, and the role of grave accent is limited to the secondary stress mark in certain dictionaries ( acute accent shows the main stress ) : ? A?4 > AD5
    @ 0 ( pseudosphere ).