In geometry, a straight line, usually abbreviated line, is an infinitely long object with no width, depth, or curvature, an idealization of such physical...
30 KB (4,299 words) - 15:00, 7 September 2024
Until the 19th century, geometry was almost exclusively devoted to Euclidean geometry, which includes the notions of point, line, plane, distance, angle...
100 KB (9,886 words) - 03:41, 24 August 2024
In geometry, a line segment is a part of a straight line that is bounded by two distinct end points, and contains every point on the line that is between...
11 KB (1,516 words) - 21:17, 7 September 2024
postulate of Euclidean geometry is replaced with: For any given line R and point P not on R, in the plane containing both line R and point P there are...
56 KB (7,019 words) - 21:44, 8 August 2024
Euclidean geometry is a mathematical system attributed to ancient Greek mathematician Euclid, which he described in his textbook on geometry, Elements...
58 KB (7,005 words) - 02:24, 31 August 2024
affine geometries and Euclidean geometry is a special instance of this type of geometry. In some other geometries, such as hyperbolic geometry, lines...
23 KB (2,818 words) - 14:57, 7 September 2024
In geometry, central lines are certain special straight lines that lie in the plane of a triangle. The special property that distinguishes a straight line...
13 KB (1,781 words) - 00:54, 15 May 2024
non-Euclidean geometry consists of two geometries based on axioms closely related to those that specify Euclidean geometry. As Euclidean geometry lies at the...
44 KB (6,023 words) - 21:22, 27 August 2024
independent of any metric, affine geometry is often considered as the study of parallel lines. Therefore, Playfair's axiom (Given a line L and a point P not on L...
20 KB (2,632 words) - 15:31, 19 June 2024
In geometry, a half-space is either of the two parts into which a plane divides the three-dimensional Euclidean space. If the space is two-dimensional...
2 KB (352 words) - 08:52, 4 August 2024