Search for "geometry" in article titles:

1. Geometry: Hello, and welcome to Wikiversity's online geometry course! A course in plane and solid geometry will investigate the basic concepts of Euclidean geometry. [100%] 2024-01-21 [Geometry] [Mathematics courses]...
2. Geometry: With arithmetic, geometry is one of the earliest fields of mathematics. Geometry derives from the Ancient Greek words geo-, which means "earth," and metron, which means "measuring." Specifically, it is concerned with the qualities of space that are connected to ... [100%] 2024-01-09 [Geometry]
3. Geometry: Geometry is the branch of mathematics that deals with properties of shapes and spatial relationships. It is one of the five most basic branches of pure mathematics, the others being algebra, number theory, analysis, and logic. [100%] 2023-02-24 [Geometry]
4. Geometry: Geometry (from grc γεωμετρία (geōmetría) 'land measurement'; from γῆ (gê) 'earth, land', and μέτρον (métron) 'a measure') is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures. Geometry is, along with arithmetic, one ... (Branch of mathematics) [100%] 2023-09-15 [Geometry]
5. Geometry: In common parlance, geometry is a branch of mathematics that studies the relationships between figures such as points, lines, polygons, solids, vectors, surfaces and others in a space, such as a plane, a higher dimensional Euclidean space, a sphere or ... [100%] 2023-06-11
6. Geometry: Geometry (from Ancient Greek γεωμετρία (geōmetría) 'land measurement'; from γῆ (gê) 'earth, land', and μέτρον (métron) 'a measure') is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures. Geometry is, along with arithmetic ... (Branch of mathematics) [100%] 2024-01-09 [Geometry]
7. Geometry: The branch of mathematics whose primary subject is spatial relationships and shapes of bodies. Geometry studies spatial relationships and shapes, while ignoring other properties of real bodies (density, weight, colour, etc.). (Mathematics) [100%] 2023-10-25
8. Geometry: Geometry (englisch für Geometrie) steht für: Musikalben: Siehe auch. [100%] 2024-07-31
9. Geometry template: A geometry template is a piece of clear plastic with cut-out shapes for use in mathematics and other subjects in primary school through secondary school. It also has various measurements on its sides to be used like a ruler. [70%] 2023-10-19 [Dimensional instruments] [Geometry]...
10. Diophantine geometry: In mathematics, Diophantine geometry is the study of Diophantine equations by means of powerful methods in algebraic geometry. By the 20th century it became clear for some mathematicians that methods of algebraic geometry are ideal tools to study these equations. (Mathematics of varieties with integer coordinates) [70%] 2023-09-14 [Diophantine geometry] [Fields of mathematics]...
11. Turtle Geometry: Turtle Geometry is a college-level math text written by Hal Abelson and Andrea diSessa which aims to engage students in exploring mathematical properties visually via a simple programming language to maneuver the icon of a turtle trailing lines across ... [70%] 2023-11-07 [Computer science books]
12. Klein geometry: In mathematics, a Klein geometry is a type of geometry motivated by Felix Klein in his influential Erlangen program. More specifically, it is a homogeneous space X together with a transitive action on X by a Lie group G, which ... (Type of geometry) [70%] 2023-09-01 [Differential geometry] [Lie groups]...
13. Valuation (geometry): In geometry, a valuation is a finitely additive function on a collection of admissible subsets of a fixed set \displaystyle{ X }[/math] with values in an abelian semigroup. For example, the Lebesgue measure is a valuation on finite unions of ... (Geometry) [70%] 2023-12-27 [Geometry]
14. Splitter (geometry): In plane geometry, a splitter is a line segment through one of the vertices of a triangle (that is, a cevian) that bisects the perimeter of the triangle. The opposite endpoint of a splitter to the chosen triangle vertex lies ... (Geometry) [70%] 2023-11-28 [Triangle geometry]
15. Point (geometry): A point is a mathematical object in geometry which has a position but neither length nor breadth nor depth. A point is made up of no other parts. (Geometry) [70%] 2023-06-17
16. Apex (geometry): In geometry, an apex (plural apices) is the vertex which is in some sense the "highest" of the figure to which it belongs. The term is typically used to refer to the vertex opposite from some "base". (Geometry) [70%] 2023-11-25 [Polyhedra]
17. Reflection (geometry): In Euclidean geometry, a reflection is a linear operation σ on R 3 {\displaystyle \mathbb {R} ^{3}} with σ = E, the identity map. This property of σ is called involution. (Geometry) [70%] 2023-07-02
18. Rotunda (geometry): In geometry, a rotunda is any member of a family of dihedral-symmetric polyhedra. They are similar to a cupola but instead of alternating squares and triangles, it alternates pentagons and triangles around an axis. (Geometry) [70%] 2023-10-07 [Johnson solids]
19. Median (geometry): In triangle geometry, a median of a triangle is a line joining one vertex to the midpoint of the opposite side. It is an example of a Cevian line. (Geometry) [70%] 2023-06-23
20. Translation (geometry): Translation, in geometry, is the act of "sliding" some shape along the coordinate plane by moving all points equally in the same direction. This can be accomplished by modifying the x and y coordinates of each (see table below), and ... (Geometry) [70%] 2023-02-20 [Geometry]
21. Blooming (geometry): In the geometry of convex polyhedra, blooming or continuous blooming is a continuous three-dimensional motion of the surface of the polyhedron, cut to form a polyhedral net, from the polyhedron into a flat and non-self-overlapping placement of ... (Geometry) [70%] 2023-05-06 [Polyhedra]
22. Geometry Dash: Geometry Dash es un videojuego de plataformas creado en 2013 por el desarrollador sueco Robert Topala (más conocido como RobTop), y posteriormente desarrollado por su empresa independiente RobTop Games. Su lanzamiento se produjo el 13 de agosto de 2013 para ... [70%] 2024-01-13
23. Perpendicular (geometry): In Euclidean geometry: Perpendicular refers to the line which extends from a line and forms a right angle to the line. Two lines that are perpendicular to each other are said to be orthogonal. (Geometry) [70%] 2023-06-12
24. Geometry Dash: Geometry Dash is a series of music platforming video games developed by Swedish developer Robert "RobTop" Topala. The first game, Geometry Dash, was released on 13 August 2013 on iOS and Android, and the Steam version on 22 December 2014. (Software) [70%] 2023-09-14 [Music video games] [Platform games]...
25. Hypercycle (geometry): In hyperbolic geometry, a hypercycle, hypercircle or equidistant curve is a curve whose points have the same orthogonal distance from a given straight line (its axis). Given a straight line L and a point P not on L, one can ... (Geometry) [70%] 2023-02-27 [Hyperbolic geometry] [Curves]...
26. Algebraic geometry: Classical algebraic geometry is the study of geometric properties of the objects defined by algebraic equations. For example, a parabola, such as all solutions ( x , y ) {\displaystyle (x,y)} of the equation y − x 2 = 0 {\displaystyle y-x^{2 ... [70%] 2023-06-17
27. Blade geometry: The term blade geometry refers to the physical properties of a sword blade: cross-section (or grind) and taper. The cross-section of a blade is the primary way of determining its function and place in history. (Engineering) [70%] 2022-07-31 [Blade weapons]
28. Pascal geometry: A plane geometry constructed over a field (a commutative skew-field). The name is derived from the fact that in this geometry the configuration of the Pappus–Pascal proposition holds: If points 1, 3, 5 and 2, 4, 6 lie ... (Mathematics) [70%] 2023-08-29
29. Capsule (geometry): A capsule (from Latin capsula, "small box or chest"), or stadium of revolution, is a basic three-dimensional geometric shape consisting of a cylinder with hemispherical ends. Another name for this shape is spherocylinder. (Geometry) [70%] 2023-12-13 [Elementary shapes]
30. Chord (geometry): A chord of a circle is a straight line segment whose endpoints both lie on a circular arc. If a chord were to be extended infinitely on both directions into a line, the object is a secant line. (Geometry) [70%] 2023-12-28 [Circles] [Curves]...
31. Discrete geometry: Discrete geometry and combinatorial geometry are branches of geometry that study combinatorial properties and constructive methods of discrete geometric objects. Most questions in discrete geometry involve finite or discrete sets of basic geometric objects, such as points, lines, planes, circles ... (Branch of geometry that studies combinatorial properties and constructive methods) [100%] 2023-03-07 [Discrete geometry]
32. Spectral geometry: To any Riemannian manifold $( M , g )$ one can associate a number of natural elliptic differential operators which arise from the geometric structure of $( M , g )$. Usually, these operators act in the space $C ^ { \infty } ( E )$ of smooth sections of some ... (Mathematics) [100%] 2023-10-05
33. Euclidean geometry: Euclidean geometry is a form of geometry first codified by Euclid in his series of thirteen books, The Elements. Some of the concepts used and described in Euclidean geometry are. [100%] 2023-06-16
34. Sacred geometry: Sacred geometry ascribes symbolic and sacred meanings to certain geometric shapes and certain geometric proportions. It is associated with the belief that a god is the geometer of the world. [100%] 2023-11-21 [Astrological aspects] [Esoteric cosmology]...
35. Plastic geometry: Plastic geometry has been referenced in relation to Cubism, Vorticism, Situationism - in particular situography. see also neo-Plasticism "Most of Picasso’s latest work (on canvas as well) is a sort of machinery. [100%] 2024-01-09
36. Riemannian geometry: Riemannian geometry is the branch of differential geometry that studies Riemannian manifolds, defined as smooth manifolds with a Riemannian metric (an inner product on the tangent space at each point that varies smoothly from point to point). This gives, in ... (Branch of differential geometry) [100%] 2023-09-14 [Riemannian geometry]
37. Birational geometry: The branch of algebraic geometry in which the main problem is the classification of algebraic varieties up to birational equivalence (cf. Birational mapping). (Mathematics) [100%] 2023-10-18
38. Galois geometry: Galois geometry (so named after the 19th-century French mathematician Évariste Galois) is the branch of finite geometry that is concerned with algebraic and analytic geometry over a finite field (or Galois field). More narrowly, a Galois geometry may be ... [100%] 2023-10-25 [Finite geometry] [Finite fields]...
39. Non-Euclidean geometry: Non-Euclidean geometry is a form of geometry that rejects Euclid's fifth postulate that parallel lines extend to infinity and never intersect. There are two main forms of non-Euclidean geometry, hyperbolic, and elliptic. [100%] 2023-02-27 [Geometry]
40. Architectural geometry: Architectural geometry is an area of research which combines applied geometry and architecture, which looks at the design, analysis and manufacture processes. It lies at the core of architectural design and strongly challenges contemporary practice, the so-called architectural practice ... (Engineering) [100%] 2023-09-12 [Computer-aided design] [Computer-aided design software]...
41. Integral geometry: In mathematics, the term integral geometry is used in two ways, which, although related, imply different views of the content of the subject. The more traditional usage is that of Santalo and Blaschke. [100%] 2024-01-26 [Geometry] [Integral geometry]...
42. Synthetic geometry: Synthetic geometry (sometimes referred to as axiomatic geometry or even pure geometry) is the study of geometry without the use of coordinates or formulae. It relies on the axiomatic method and the tools directly related to them, that is, compass ... [100%] 2023-10-22 [Geometry]
43. Centro-affine geometry: The branch of affine geometry in which one studies invariants of centro-affine transformations: $ \overline{x}\; {} ^ {i} = A _ {s} ^ {i} x ^ {s} $. Centro-affine transformations leave one point (the centre) fixed. (Mathematics) [100%] 2022-11-11
44. Complex geometry: In mathematics, complex geometry is the study of geometric structures and constructions arising out of, or described by, the complex numbers. In particular, complex geometry is concerned with the study of spaces such as complex manifolds and complex algebraic varieties ... (Study of complex manifolds and several complex variables) [100%] 2023-09-25 [Complex manifolds] [Several complex variables]...
45. Riemannian geometry: Riemmanian geometry is a non-euclidean geometric theory developed by mathematicians Bernhard Riemann and Carl Friedrich Gauss, and was later used in the Theory of Relativity. It is not as simple as euclidean geometry since it is not as close ... [100%] 2023-02-10 [Cosmology] [Mathematics]...
46. Continuous geometry: In mathematics, continuous geometry is an analogue of complex projective geometry introduced by von Neumann (1936, 1998), where instead of the dimension of a subspace being in a discrete set \displaystyle{ 0, 1, \dots, \textit{n} }[/math], it can be ... [100%] 2023-10-08 [Projective geometry] [Von Neumann algebras]...
47. Euclidean geometry: The geometry of space described by the system of axioms first stated systematically (though not sufficiently rigorous) in the Elements of Euclid. The space of Euclidean geometry is usually described as a set of objects of three kinds, called "points ... (Mathematics) [100%] 2023-10-17 [Geometry]
48. Convex geometry: In mathematics, convex geometry is the branch of geometry studying convex sets, mainly in Euclidean space. Convex sets occur naturally in many areas: computational geometry, convex analysis, discrete geometry, functional analysis, geometry of numbers, integral geometry, linear programming, probability theory ... (Branch of geometry) [100%] 2023-09-15 [Convex geometry]
49. Arithmetic geometry: In mathematics, arithmetic geometry is roughly the application of techniques from algebraic geometry to problems in number theory. Arithmetic geometry is centered around Diophantine geometry, the study of rational points of algebraic varieties. (Branch of algebraic geometry focused on problems in number theory) [100%] 2023-09-15 [Arithmetic geometry] [Fields of mathematics]...
50. Projective geometry: In mathematics, projective geometry is the study of geometric properties that are invariant with respect to projective transformations. This means that, compared to elementary Euclidean geometry, projective geometry has a different setting, projective space, and a selective set of basic ... (Type of geometry) [100%] 2023-01-08 [Projective geometry] [Geometry]...
51. Point-free geometry: Point-free geometry is based on the idea that we can consider the notion of point not as a primitive since we can define it by the more concrete notion of region. The point are defined by suitable sequences of ... [100%] 2023-07-06
52. Higher-dimensional geometry: The geometry of spaces of dimension more than three; the term is applied to those spaces whose geometry was initially developed for the case of three dimensions and only later was generalized to a dimension $ n > 3 $; first of all ... (Mathematics) [100%] 2023-10-12
53. Transformation geometry: In mathematics, transformation geometry (or transformational geometry) is the name of a mathematical and pedagogic take on the study of geometry by focusing on groups of geometric transformations, and properties that are invariant under them. It is opposed to the ... (Branch of mathematics concerned with movement of shapes and sets) [100%] 2023-11-09 [Symmetry]
54. Euclidean geometry: Euclidean geometry is the branch of mathematics that deals with properties of shapes and spatial relationships. In its modern form, it is the pure mathematics of points and lines and curves and surfaces. [100%] 2023-02-19 [Geometry]
55. Non-Desarguesian geometry: A plane geometry in which the Desargues assumption need not be true. The plane is then called a non-Desarguesian plane. (Mathematics) [100%] 2023-09-11