Geometry is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space.[1] A mathematician who works in the field of geometry is called a geometer.
Important concepts in geometry
- Axioms
- Points
- Lines
- Planes
- Angles
- Curves
- Surfaces
- Manifolds
- Length, area, and volume
- Metrics and measures
- Congruence and similarity
- Compass and straightedge constructions
- Dimension
- Symmetry
Contemporary geometry
- Euclidean geometry
- Differential geometry
- Non-Euclidean geometry
- Topology
- Algebraic geometry
- Complex geometry
- Discrete geometry
- Computational geometry
- Geometric group theory
- Convex geometry