List of geometry topics
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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 geometers
- See also list of curves, list of curve topics.
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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
- Hilbert's axioms
- Point (geometry)
- Locus (mathematics)
- Line
- Parallel (geometry)
- Angle
- Congruence
- Similarity (mathematics)
- Shear
Euclidean plane geometry
- 2D computer graphics
- 2D geometric model
- Curve of constant width
- Coordinate notation
- Brahmagupta's formula
- Equilateral triangle
- Pythagorean triangle
- Pedal triangle
- Symmedian
- Altitude (triangle)
- Pons Asinorum
- Euler's line
- Trapezoid, trapezium
- Golden angle
- Complex geometry
- Conic section
- Cyclic quadrilateral
- Heron's formula
- Pappus's theorem
- Parallel postulate
- Polygon
- Straightedge
- Ruler-and-compass constructions
- Tiling
- Triangle
- Trigonometry
3-dimensional Euclidean geometry (solid geometry)
- 3D projection
- 3D computer graphics
- Borromean rings
- Crystal
- Cuisenaire rods
- Desargues' theorem
- Right circular cone
- Hyperboloid
- Paraboloid
- Polyhedron
- 3-sphere, spheroid, ellipsoid
- Cross section
- Sphericon
- Stereographic projection
- Stereometry
n-dimensional Euclidean geometry
- Ball
- Cone
- Convex
- Coxeter group
- Euclidean distance
- Hyperplane
- Lattice
- Packing and covering
- Parallelogram law
- Polytope
- Sphere
- Quadric
- Torus
- Root system
- Similarity (mathematics)
- Zonotope
Non-Euclidean geometry
- Projective geometry
- Desargues' theorem
- Girard Desargues
- 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 (projective geometry)
- Homogeneous coordinates
- Pappus's hexagon theorem
- Incidence (geometry)
- 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
- Point in polygon
- Point location
- Hidden line removal
Mathematical morphology
Generalizations
Various
- Chirality
- Erlangen program
- Four dimensions
- Group action, invariant
- Hadwiger's theorem
- Infinitesimal transformation
- List of terms based on the word cube
- Pi
- Symmetry, shape, pattern
Applications
- Astronomy
- Computer graphics
- Image analysis
- Robot control
- The Strähle construction is used in the design of some musical instruments.