List of geometry topics
| Geometry |
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| Geometers |
This is a list of geometry 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
- Finite geometry
- Fractal geometry
- Geometry of numbers
- Hyperbolic geometry
- Incidence geometry
- Information geometry
- Integral geometry
- Inversive geometry
- Inversive ring geometry
- Klein geometry
- Lie sphere geometry
- Non-Euclidean geometry
- Noncommutative algebraic geometry
- Noncommutative 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
Euclidean plane geometry
- 2D computer graphics
- 2D geometric model
- Altitude
- Brahmagupta's formula
- Bretschneider's formula
- Compass and straightedge constructions
- Complex geometry
- Conic section
- Curve of constant width
- Frieze group
- Golden angle
- Holditch's theorem
- Interactive geometry software
- Parallel postulate
- Polygon
- Pons asinorum
- Quadrilateral
- Sangaku
- Straightedge
- Symmedian
- Tessellation
- Trapezoid (trapezium)
- Triangle
- Trigonometry
- Wallpaper group
3-dimensional Euclidean geometry
- 3D projection
- 3D computer graphics
- Borromean rings
- Cavalieri's principle
- Cross section
- Crystal
- Cuisenaire rods
- Desargues' theorem
- Right circular cone
- Hyperboloid
- Napkin ring problem
- Pappus's centroid theorem
- Paraboloid
- Polyhedron
- 3-sphere, spheroid, ellipsoid
- Soddy's hexlet
- Sphericon
- Stereographic projection
- Stereometry
n-dimensional Euclidean geometry
- Ball
- Convex
- Coxeter group
- Euclidean distance
- Homothetic center
- Hyperplane
- Lattice
- Packing
- Parallelogram law
- Polytope
- Sphere
- Quadric
- Torus
- Root system
- Similarity
- Zonotope
Other geometries (not Euclidean)
- Projective geometry
- Arc (projective geometry)
- Desargues' theorem
- Girard Desargues
- Desarguesian plane
- Line at infinity
- Point at infinity
- Plane at infinity
- Hyperplane at infinity
- Projective line
- Projective plane
- Projective space
- Complex projective line
- Complex projective plane
- Fundamental theorem of projective geometry
- Projective transformation
- Cross-ratio
- Duality
- Homogeneous coordinates
- Pappus's hexagon theorem
- Incidence
- Pascal's theorem
- Affine geometry
- Finite geometry
- Differential geometry
- Non-Euclidean plane geometry
- Angle excess
- Hyperbolic geometry
- Elliptic geometry
- Minkowski space
- Thurston's conjecture
Numerical geometry
Geometric algorithms
- Convex hull construction
- Euclidean shortest path
- Point in polygon
- Point location
- Hidden line removal
Mathematical morphology
Generalizations
Various
- Coordinate-free treatment
- Chirality
- Erlangen program
- Four-dimensional space
- Geometric shape
- Group action, invariant
- Hadwiger's theorem
- Infinitesimal transformation
- Pi
- Polar sine
- Symmetry, shape, pattern
- Mathematics and fiber arts
- Van Hiele model - Prevailing theory of how children learn to reason in geometry
Applications
- Astronomy
- Computer graphics
- Image analysis
- Robot control
- The Strähle construction is used in the design of some musical instruments.
- Burmester's theory for the design of mechanical linkages