Geometry - Wikipedia
Geometry (from Ancient Greek γεωμετρία (geōmetría) 'land measurement'; from γῆ (gê) 'earth, land' and μέτρον (métron) 'a measure') [1] is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures. [2]
Geometry - Simple English Wikipedia, the free encyclopedia
Geometry (from Ancient Greek: Γεωμετρία (romanized: Geometria (English: "Land measurement") derived from Γη (romanized: Ge; English: "Earth" or "land") and also derived from Μέτρον) (romanized: Métron; English: "A measure")) is a branch of mathematics that studies the size, shapes, positions and dimensions of things.
Outline of geometry - Wikipedia
Geometry is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space. Geometry is one of the oldest mathematical sciences.
Euclidean geometry - Wikipedia
Euclidean geometry is a mathematical system attributed to ancient Greek mathematician Euclid, which he described in his textbook on geometry, Elements. Euclid's approach consists in assuming a small set of intuitively appealing axioms (postulates) and deducing many other propositions from these.
History of geometry - Wikipedia
Geometry was one of the two fields of pre-modern mathematics, the other being the study of numbers . Classic geometry was focused in compass and straightedge constructions. Geometry was revolutionized by Euclid, who introduced mathematical rigor and the axiomatic method still in …
Line (geometry) - Wikipedia
For instance, in analytic geometry, a line in the plane is often defined as the set of points whose coordinates satisfy a given linear equation, but in a more abstract setting, such as incidence geometry, a line may be an independent object, distinct from the set of points which lie on it.
Geometry | Definition, History, Basics, Branches, & Facts | Britannica
2024年11月19日 · geometry, the branch of mathematics concerned with the shape of individual objects, spatial relationships among various objects, and the properties of surrounding space. It is one of the oldest branches of mathematics, having arisen in response to such practical problems as those found in surveying , and its name is derived from Greek words ...
Algebraic geometry - Wikipedia
Algebraic geometry is a branch of mathematics which uses abstract algebraic techniques, mainly from commutative algebra, to solve geometrical problems. Classically, it studies zeros of multivariate polynomials; the modern approach generalizes this in a few different aspects.
Geometry/Introduction - Wikibooks, open books for an open world
2022年6月8日 · Modern geometry comes in two main flavours: algebraic geometry (Algebraic curves and surfaces, algebraic varieties), and differential geometry (Riemannian geometry, Spin geometry, Lie groups and algebras).
Gromov's compactness theorem (geometry) - Wikipedia
In the mathematical field of metric geometry, Mikhael Gromov proved a fundamental compactness theorem for sequences of metric spaces.In the special case of Riemannian manifolds, the key assumption of his compactness theorem is automatically satisfied under an assumption on Ricci curvature.These theorems have been widely used in the fields of geometric group theory and …