geometry
Sign in to saveGeometry 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 of the oldest branches of mathematics. A mathematician who works in the field of geometry is called a geometer. Until the 19th century, geometry was almost exclusively devoted to Euclidean geometry, which includes the notions of point, line, plane, distance, angle, surface, and curve, as fundamental concepts.
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Geometry is a branch of mathematics that studies the properties of space, including how far apart things are, what shape they have, how big they are, and where they sit relative to each other. It's one of the oldest areas of mathematics and has been a central tool for understanding the physical world and solving practical problems throughout history.
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- Instance of
- branch of mathematics
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- mathematics
- Part of
- mathematics
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- history of geometry
Article
42 sectionsContents
- History
- Main concepts
- Axioms
- Spaces and subspaces
- Points
- Lines
- Planes
- Curves
- Surfaces
- Solids
- Manifolds
- Angles
- Measures: length, area, and volume{{anchor|Measures}}
- Metrics and measures
- Congruence and similarity
- Compass and straightedge constructions
- Rotation and orientation
- Dimension
- Symmetry
- Contemporary geometry
- Euclidean geometry
- Euclidean vectors
- Differential geometry
- Non-Euclidean geometry
- Topology
- Algebraic geometry
- Complex geometry
- Discrete geometry
- Computational geometry
- Geometric group theory
- Convex geometry
- Applications
- Art
- Architecture
- Physics
- Other fields of mathematics
- See also
- Notes
- References
- Sources
- Further reading
- External links
Geometry 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 of the oldest branches of mathematics. A mathematician who works in the field of geometry is called a geometer. Until the 19th century, geometry was almost exclusively devoted to Euclidean geometry, which includes the notions of point, line, plane, distance, angle, surface, and curve, as fundamental concepts.
Originally developed to model the physical world, geometry has applications in almost all sciences, and also in art, architecture, and other activities that are related to graphics. Geometry also has applications in areas of mathematics that are apparently unrelated. For example, methods of algebraic geometry are fundamental in Wiles's proof of Fermat's Last Theorem, a problem that was stated in terms of elementary arithmetic, and remained unsolved for several centuries.