Geometry is the branch of mathematics dealing with spatial relationships. From experience, or possibly intuitively, people characterize space by certain fundamental qualities, which are termed axioms in geometry. Such axioms are insusceptible to proof, but can be used in conjunction with mathematical definitions for points, straight lines, curves, surfaces, and solids to draw logical conclusions.

Subcategories

There are 31 subcategories to this category.

Affine geometry Algebraic geometry C Conformal geometry Conic sections Convex geometry Coordinate systems Curves D Differential geometry Discrete geometry E Elementary geometry

E cont. Euclidean geometry F Figurate numbers Fractals G Geometric algorithms Geometric group theory Geometric shapes Geometry stubs H Hyperbolic geometry I Incidence geometry Integral geometry Invariant theory

M Means Metric geometry O Orientation P Polygons Polyhedra Polytopes Projective geometry T Technical drawing Topology Trigonometry

Articles in category "Geometry"

There are 91 articles in this category.

Alignments of random points Analytic geometry B Birational geometry C Cell (mathematics) Chirality (mathematics) Circumscribed sphere Codimension Complex geometry Cone (geometry) Constructive solid geometry Contact geometry Coordinate system Coplanar Cross-polytope Cubing the cube Curve of constant width D Delta-hyperbolic space Descriptive geometry Digital geometry Dilation (mathematics) Dividing a circle into areas E Elliptic geometry Erlangen program Euclid's Elements Euler's rotation theorem Extreme point F Facet (mathematics) Finite geometry Flexagon Ford circle

F cont. Fourth dimension G General position Geometry H Heilbronn triangle problem Hilbert's fourth problem Homogeneous space Homothety Householder transformation How Archimedes used infinitesimals Hyperbolic geometry I Improper rotation Incidence geometry Incidence structure Information geometry Integral geometry Inversive geometry Isometry K Kakeya needle problem L Lattice (group) Linearly separable List of differential geometry topics List of geometry topics M Meander (mathematics) Miller index Mohr-Mascheroni theorem N Non-Euclidean geometry Noncommutative geometry O Orientation (mathematics) Orthant P Plane of symmetry Polar distance (geometry)

P cont. Poncelet-Steiner theorem Porism Power center Projective Hilbert space Q Quadric R Real tree Reciprocal lattice Reflection (mathematics) Regular Division of the Plane Rodrigues' rotation formula Rotational symmetry S Secant line Space partitioning Spherical cap Spherical geometry Stellation Strähle construction Surface normal Sylvester-Gallai theorem Symmetry group Synthetic geometry Szemerédi-Trotter theorem T Tait-Bryan angles Topology Transformation geometry Triangulation (advanced geometry) Tropical geometry U Unit square V Vertex figure Villarceau circles