List of geometry topics

This is list of geometry topics, by Wikipedia page.
 * Geometric shape covers standard terms for plane shapes
 * List of mathematical shapes covers all dimensions
 * List of differential geometry topics
 * List of geometers
 * See also list of curves, list of curve topics.

Types, methodologies, and terminologies of geometry

 * Absolute geometry
 * Affine geometry
 * Algebraic geometry
 * Analytic geometry
 * Archimedes' use of infinitesimals
 * Birational geometry
 * Complex geometry
 * Combinatorial geometry
 * Computational geometry
 * Conformal geometry
 * Constructive solid geometry
 * Contact geometry
 * Convex geometry
 * Descriptive geometry
 * Differential geometry
 * Digital geometry
 * Discrete geometry
 * Distance geometry
 * Elliptic geometry
 * Enumerative geometry
 * Epipolar geometry
 * Euclidean geometry
 * Finite geometry
 * Geometry of numbers
 * Hyperbolic geometry
 * Information geometry
 * Integral geometry
 * Inversive geometry
 * Inversive ring geometry
 * Klein geometry
 * Lie sphere geometry
 * Non-Euclidean geometry
 * Numerical geometry
 * Ordered geometry
 * Parabolic geometry
 * Plane geometry
 * Projective geometry
 * Quantum geometry
 * Riemannian geometry
 * Ruppeiner geometry
 * Spherical geometry
 * Symplectic geometry
 * Synthetic geometry
 * Systolic geometry
 * Taxicab geometry
 * Toric geometry
 * Transformation geometry
 * Tropical geometry

Euclidean geometry, foundations

 * Hilbert's axioms
 * Point
 * Locus
 * Line
 * Parallel
 * Angle
 * Concurrent lines
 * Adjacent angles
 * Central angle
 * Complementary angles
 * Inscribed angle
 * Internal angle
 * Supplementary angles
 * Angle trisection
 * Congruence
 * Reflection
 * Rotation
 * Coordinate rotations and reflections
 * Translation
 * Glide reflection
 * Similarity
 * Similarity transformation
 * Homothety
 * Shear mapping

Euclidean plane geometry

 * 2D computer graphics
 * 2D geometric model
 * Altitude
 * Brahmagupta's formula
 * Compass and straightedge constructions
 * Squaring the circle
 * Complex geometry
 * Conic section
 * Focus
 * Circle
 * List of circle topics
 * Thales' theorem
 * Circumcircle
 * Concyclic
 * Incircle and excircles of a triangle
 * Orthocentric system
 * Monge's theorem
 * Power Center
 * Nine-point circle
 * Circle points segments proof
 * Mrs. Miniver's problem
 * Isoperimetric theorem
 * Annulus
 * Ptolemaios' theorem
 * Steiner chain
 * Eccentricity
 * Ellipse
 * Semi-major axis
 * Hyperbola
 * Parabola
 * Matrix representation of conic sections
 * Dandelin spheres
 * Curve of constant width
 * Cyclic quadrilateral
 * Euler's line
 * Equilateral triangle
 * Frieze group
 * Golden angle
 * Heron's formula
 * Heronian triangle
 * Holditch's theorem
 * Interactive geometry software
 * Pappus's theorem
 * Parallel postulate
 * Pedal triangle
 * Polygon
 * Star polygon
 * Pick's theorem
 * Shape dissection
 * Bolyai-Gerwien theorem
 * Poncelet-Steiner theorem
 * Polygon triangulation
 * Pons asinorum
 * Pythagorean triangle
 * Sangaku
 * Straightedge
 * Symmedian
 * Tessellation
 * Prototile
 * Aperiodic tiling
 * Wang tile
 * Penrose tiling
 * Trapezoid, trapezium
 * Isosceles trapezoid
 * Triangle
 * Pythagorean theorem
 * Triangle inequality
 * Pedoe's inequality
 * Trigonometry
 * List of trigonometry topics
 * Wallpaper group

3-dimensional Euclidean geometry (solid geometry)

 * 3D projection
 * 3D computer graphics
 * Binary space partitioning
 * Ray tracing
 * Graham scan
 * Borromean rings
 * Cavalieri's principle
 * Cross section
 * Crystal
 * Cuisenaire rods
 * Desargues' theorem
 * Right circular cone
 * Hyperboloid
 * Napkin ring problem
 * Paraboloid
 * Polyhedron
 * Defect
 * Dihedral angle
 * Prism
 * Prismatoid
 * Honeycomb
 * Pyramid
 * Parallelepiped
 * Tetrahedron
 * Heronian tetrahedron
 * Platonic solid
 * Archimedean solid
 * Kepler-Poinsot polyhedra
 * Johnson solid
 * Uniform polyhedron
 * Polyhedral compound
 * Hilbert's third problem
 * Deltahedron
 * Surface normal
 * 3-sphere, spheroid, ellipsoid
 * Parabolic microphone
 * Parabolic reflector
 * Soddy's hexlet
 * Sphericon
 * Stereographic projection
 * Stereometry

n-dimensional Euclidean geometry

 * Ball
 * Convex
 * Convex hull
 * Coxeter group
 * Euclidean distance
 * Homothetic center
 * Hyperplane
 * Lattice
 * Ehrhart polynomial
 * Leech lattice
 * Minkowski's theorem
 * Packing and covering
 * Sphere packing
 * Kepler conjecture
 * Kissing number problem
 * Honeycomb
 * Andreini tessellation
 * Uniform tessellation
 * Voronoi tessellation
 * Delaunay triangulation
 * Quasicrystal
 * Parallelogram law
 * Polytope
 * Schläfli symbol
 * Regular polytope
 * Regular Polytopes
 * Sphere
 * Quadric
 * Hypersphere, sphere
 * Spheroid
 * Ellipsoid
 * Hyperboloid
 * Paraboloid
 * Cone
 * Torus
 * Root system
 * Similarity
 * Zonotope

Non-Euclidean geometry

 * Projective geometry
 * Desargues' theorem
 * Girard Desargues
 * Desarguesian plane
 * Line at infinity
 * Point at infinity
 * Plane at infinity
 * Hyperplane at infinity
 * Projective line
 * Projective plane
 * Roman surface
 * Projective space
 * Complex projective line
 * Complex projective plane
 * Fundamental theorem of projective geometry
 * Projective transformation
 * Möbius transformation
 * Cross-ratio
 * Duality
 * Homogeneous coordinates
 * Pappus's hexagon theorem
 * Incidence
 * Pascal's theorem
 * Affine geometry
 * Affine space
 * Affine transformation
 * Finite geometry
 * Differential geometry
 * Contact geometry
 * Riemannian geometry
 * Symplectic geometry
 * Non-Euclidean plane geometry
 * Angle excess
 * Hyperbolic geometry
 * Pseudosphere
 * Tractricoid
 * Elliptic geometry
 * Spherical geometry
 * Minkowski space
 * Thurston's conjecture

Numerical geometry

 * Curve interpolation
 * Parametric curve
 * Bezier curve
 * Spline
 * Hermite spline
 * Beta spline
 * B-spline
 * Higher-order spline
 * NURBS
 * Parametric surface
 * Parametric patch

Geometric algorithms

 * Convex hull construction
 * Euclidean shortest path
 * Point in polygon
 * Point location
 * Hidden line removal

Mathematical morphology

 * Minkowski addition

Generalizations

 * Noncommutative geometry
 * Topology

Various

 * Coordinate-free treatment
 * Chirality
 * Handedness
 * Left and right
 * Mirror image
 * Erlangen program
 * Four dimensions
 * Group action, invariant
 * Hadwiger's theorem
 * Infinitesimal transformation
 * List of terms based on the word cube
 * Pi
 * Polar sine
 * Symmetry, shape, pattern
 * Crystal system
 * Frieze group
 * Isometry
 * Lattice
 * Point group
 * Point groups in two dimensions
 * Point groups in three dimensions
 * Space group
 * Symmetry group
 * Translational symmetry
 * Wallpaper group
 * Mathematics and fiber arts

Applications

 * Astronomy
 * Computer graphics
 * Image analysis
 * Robot control
 * The Strähle construction is used in the design of some musical instruments.