List Of Geometry Topics

• Geometric shape covers standard terms for plane shapes
• List of mathematical shapes covers all dimensions
• 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
• 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
• Euclidean geometry
• Finite geometry
• Geometry of numbers
• Hyperbolic geometry
• Information geometry
• Integral geometry
• Inversive geometry
• Non-Euclidean geometry
• Numerical geometry
• Parabolic geometry
• Plane geometry
• Projective geometry
• Riemannian geometry
• Spherical geometry
• Symplectic geometry
• Synthetic geometry
• Transformation geometry

Euclidean geometry, foundations

• Point (geometry)
• Locus (mathematics)
• Line
• Parallel (geometry)
• Angle
• Central angle
• Complementary angles
• Inscribed angle
• Internal angle
• Supplementary angles
• Trisecting the angle
• Congruence
• Reflection
• Rotation
• Coordinate rotations and reflections
• Translation
• Glide reflection
• Similarity (mathematics)
• Similarity transformation
• Homothety
• Shear

Euclidean plane geometry

• 2D computer graphics
• 2D geometric model
• Coordinate notation
• Brahmagupta's formula
• Equilateral triangle
• Pythagorean triangle
• Pedal triangle
• Symmedian
• Altitude (triangle)
• Pons Asinorum
• Euler's line
• Trapezoid, trapezium
• Isosceles trapezoid
• Golden angle
• Complex geometry
• Conic section
• Circle
• Thales' theorem
• Circumcircle
• Concyclic
• Incircle and excircles of a triangle
• Orthocentric system
• Power center
• Nine point circle
• Circle points segments proof
• Mrs. Miniver's problem
• Isoperimetric theorem
• Annulus
• Eccentricity
• Ellipse
• Hyperbola
• Parabola
• Matrix representation of conic sections
• Dandelin spheres
• Cyclic quadrilateral
• Heron's formula
• Heronian triangle
• Pappus's theorem
• Parallel postulate
• Polygon
• Star polygon
• Pick's theorem
• Shape dissection
• Bolyai-Gerwien theorem
• Poncelet-Steiner theorem
• Polygon triangulation
• Straightedge
• Ruler-and-compass constructions
• Squaring the circle
• Tiling
• Prototile
• Tessellation
• Aperiodic tiling
• Wang tile
• Penrose tiling
• Triangle
• Pythagorean theorem
• Triangle inequality
• Pedoe's inequality
• Trigonometry
• List of trigonometry topics

3-dimensional Euclidean geometry (solid geometry)

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

n-dimensional Euclidean geometry

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

Non-Euclidean geometry

• Projective geometry
• Desargues' theorem
• Girard Desargues
• Line at infinity
• Fundamental theorem of projective geometry
• Projective transformation
• Cross-ratio
• Duality (projective geometry)
• Homogeneous coordinates
• 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
• Point in polygon
• Point location
• Hidden line removal

Mathematical morphology

• Minkowski addition

Generalizations

• Noncommutative geometry
• Topology

Various

• Chirality
• Handedness
• Left and right
• Mirror image
• Erlangen program
• Four dimensions
• Group action, invariant
• Hadwiger's theorem
• Hyperplane at infinity
• Incidence (geometry)
• Infinitesimal transformation
• List of terms based on the word cube
• Pascal's theorem
• Pi
• Projective transformation
• Symmetry, shape, pattern
• Symmetry group
• Frieze pattern

Applications

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

See also

• Mathematics

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