Mass point geometry, colloquially known as mass points, is a problem-solving technique in geometry which applies the physical principle of the center... 10 KB (1,681 words) - 22:39, 5 February 2024 |
In geometry, a vertex (pl.: vertices or vertexes) is a point where two or more curves, lines, or edges meet or intersect. As a consequence of this definition... 9 KB (934 words) - 17:02, 17 December 2023 |
Until the 19th century, geometry was almost exclusively devoted to Euclidean geometry, which includes the notions of point, line, plane, distance, angle... 100 KB (9,874 words) - 21:48, 22 March 2024 |
reciprocal. A closely related idea in geometry is that of "inverting" a point. In the plane, the inverse of a point P with respect to a reference circle... 30 KB (4,378 words) - 02:03, 11 April 2024 |
Tangent (redirect from Tangent (geometry)) In geometry, the tangent line (or simply tangent) to a plane curve at a given point is, intuitively, the straight line that "just touches" the curve at... 26 KB (4,078 words) - 03:38, 7 December 2023 |
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 (6,013 words) - 04:15, 7 April 2024 |
Riemannian geometry is the branch of differential geometry that studies Riemannian manifolds, defined as smooth manifolds with a Riemannian metric (an... 13 KB (1,473 words) - 20:06, 5 July 2023 |
a unique great circle passing through both). Many results in spherical geometry depend on choosing non-antipodal points, and degenerate if antipodal points... 4 KB (509 words) - 18:35, 31 March 2024 |
In mathematics, point-free geometry is a geometry whose primitive ontological notion is region rather than point. Two axiomatic systems are set out below... 13 KB (1,666 words) - 14:52, 7 April 2024 |
Algebraic geometry is a branch of mathematics which uses abstract algebraic techniques, mainly from commutative algebra, to solve geometrical problems... 60 KB (7,405 words) - 17:41, 21 April 2024 |
In geometry, parallel lines are coplanar infinite straight lines that do not intersect at any point. Parallel planes are planes in the same three-dimensional... 22 KB (2,736 words) - 21:56, 10 February 2024 |
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, there... 20 KB (2,632 words) - 01:19, 29 March 2024 |
Computational geometry is a branch of computer science devoted to the study of algorithms which can be stated in terms of geometry. Some purely geometrical... 15 KB (2,101 words) - 04:13, 7 April 2024 |
In mathematics, projective geometry is the study of geometric properties that are invariant with respect to projective transformations. This means that... 39 KB (5,092 words) - 01:36, 31 March 2024 |
small dot or the sharp tip of something. Point or points may refer to: Point (geometry), an entity that has a location in space or on a plane, but has no... 6 KB (883 words) - 17:14, 25 April 2024 |
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) - 05:38, 22 April 2024 |
plane (Euclidean) geometry, the basic concepts are points and (straight) lines. In spherical geometry, the basic concepts are point and great circle.... 15 KB (1,960 words) - 17:10, 12 February 2024 |
In mathematics, analytic geometry, also known as coordinate geometry or Cartesian geometry, is the study of geometry using a coordinate system. This contrasts... 39 KB (5,590 words) - 01:25, 29 April 2024 |
spherical geometry, two lines are usually assumed to intersect at a single point (rather than two). Because of this, the elliptic geometry described in... 18 KB (2,682 words) - 17:03, 16 April 2024 |
Midpoint (redirect from Midpoint (geometry)) In geometry, the midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and... 11 KB (1,410 words) - 15:37, 24 April 2024 |
calculus and differential geometry, an inflection point, point of inflection, flex, or inflection (rarely inflexion) is a point on a smooth plane curve... 10 KB (1,223 words) - 02:55, 9 March 2024 |
In geometry, the limiting points of two disjoint circles A and B in the Euclidean plane are points p that may be defined by any of the following equivalent... 3 KB (336 words) - 00:30, 2 May 2023 |
Absolute geometry is a geometry based on an axiom system for Euclidean geometry without the parallel postulate or any of its alternatives. Traditionally... 8 KB (1,073 words) - 21:46, 3 August 2023 |
The subsolar point on a planet is the point at which its Sun is perceived to be directly overhead (at the zenith); that is, where the Sun's rays strike... 4 KB (466 words) - 14:45, 20 February 2024 |
Euclidean geometry is a mathematical system attributed to ancient Greek mathematician Euclid, which he described in his textbook on geometry, Elements... 59 KB (7,077 words) - 20:19, 5 April 2024 |