Elliptic geometry is an example of a geometry in which Euclid's parallel postulate does not hold. Instead, as in spherical geometry, there are no parallel...
18 KB (2,682 words) - 17:03, 16 April 2024
the former case, one obtains hyperbolic geometry and elliptic geometry, the traditional non-Euclidean geometries. When the metric requirement is relaxed...
44 KB (6,018 words) - 02:55, 12 June 2024
now rarely used sequence elliptic geometry (spherical geometry), parabolic geometry (Euclidean geometry), and hyperbolic geometry. In the former Soviet Union...
56 KB (6,993 words) - 15:18, 23 June 2024
geometry hold in hyperbolic geometry as well as in Euclidean geometry. Absolute geometry is inconsistent with elliptic geometry: in elliptic geometry...
76 KB (10,902 words) - 02:44, 15 June 2024
elliptic geometries, that have no parallel lines. Absolute geometry is an extension of ordered geometry, and thus, all theorems in ordered geometry hold...
9 KB (1,111 words) - 14:19, 23 May 2024
solid geometry Contact geometry Convex geometry Descriptive geometry Differential geometry Digital geometry Discrete geometry Distance geometry Elliptic geometry...
13 KB (910 words) - 14:17, 27 June 2024
geometry, the representation of a line rarely conforms to the notion of the "straight curve" as it is visualised in Euclidean geometry. In elliptic geometry...
30 KB (4,299 words) - 13:27, 2 July 2024
spatial dimensions and 1 time dimension. In non-Euclidean geometry (elliptic or hyperbolic geometry) the three Euclidean properties mentioned above are not...
23 KB (2,778 words) - 21:25, 25 May 2024
plane intersect in two antipodal points, unlike coplanar lines in Elliptic geometry. In the extrinsic 3-dimensional picture, a great circle is the intersection...
15 KB (1,955 words) - 02:05, 6 May 2024
not all equal, though opposite angles are equal. Other geometries, such as spherical, elliptic, and hyperbolic, have so-called rectangles with opposite...
19 KB (2,162 words) - 00:01, 23 March 2024