Trisha Shetty (Editor)

List of geometry topics

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This is a list of geometry topics, by Wikipedia page.

Contents

  • Geometric shape covers standard terms for plane shapes
  • 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
  • Numerical geometry
  • Ordered geometry
  • Parabolic geometry
  • Plane geometry
  • Projective geometry
  • Quantum geometry
  • Reticular 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 (plane geometry)

  • 2D computer graphics
  • 2D geometric model
  • Altitude
  • Brahmagupta's formula
  • Bretschneider'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
  • Reuleaux triangle
  • Frieze group
  • Golden angle
  • Holditch's theorem
  • Interactive geometry software
  • Parallel postulate
  • Polygon
  • Star polygon
  • Pick's theorem
  • Shape dissection
  • Bolyai–Gerwien theorem
  • Poncelet–Steiner theorem
  • Polygon triangulation
  • Pons asinorum
  • Quadrilateral
  • Bicentric quadrilateral
  • Cyclic quadrilateral
  • Equidiagonal quadrilateral
  • Kite (geometry)
  • Orthodiagonal quadrilateral
  • Rhombus
  • Rectangle
  • Square
  • Tangential quadrilateral
  • Trapezoid
  • Isosceles trapezoid
  • Sangaku
  • Straightedge
  • Symmedian
  • Tessellation
  • Prototile
  • Aperiodic tiling
  • Wang tile
  • Penrose tiling
  • Trapezoid (trapezium)
  • Isosceles trapezoid
  • Triangle
  • Acute and obtuse triangles
  • Equilateral triangle
  • Euler's line
  • Heron's formula
  • Integer triangle
  • Heronian triangle
  • Isosceles triangle
  • List of triangle inequalities
  • List of triangle topics
  • Pedal triangle
  • Pedoe's inequality
  • Pythagorean theorem
  • Pythagorean triangle
  • Right triangle
  • Triangle 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
  • Pappus's centroid theorem
  • 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
  • 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
  • Oval (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
  • Bézier 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
  • Relative direction
  • Mirror image
  • Erlangen program
  • Four-dimensional space
  • Group action, invariant
  • Hadwiger's theorem
  • Infinitesimal transformation
  • 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
  • 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
  • References

    List of geometry topics Wikipedia


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