ⓘ List of geometry topics

                                     

ⓘ List of geometry topics

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

1. Euclidean geometry, foundations

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

1.1. Euclidean geometry, foundations Euclidean plane geometry plane geometry

  • 2D computer graphics
  • Altitude
  • Brahmaguptas formula
  • Squaring the circle
  • Compass and straightedge constructions
  • 2D geometric model
  • Bretschneiders formula
  • Orthocentric system
  • Focus
  • Incircle and excircles of a triangle
  • Nine-point circle
  • Mrs. Minivers problem
  • List of circle topics
  • Steiner chain
  • Monges theorem
  • Complex geometry
  • Annulus
  • Circle points segments proof
  • Power center
  • Ptolemaios theorem
  • Circumcircle
  • Circle
  • Conic section
  • Thales theorem
  • Isoperimetric theorem
  • Concyclic
  • Ellipse
  • Eccentricity
  • Semi-major axis
  • Matrix representation of conic sections
  • Parabola
  • Hyperbola
  • Dandelin spheres
  • Reuleaux triangle
  • Curve of constant width
  • Polygon
  • Interactive geometry software
  • Shape dissection
  • Polygon triangulation
  • Holditchs theorem
  • Golden angle
  • Star polygon
  • Frieze group
  • Bolyai–Gerwien theorem
  • Poncelet–Steiner theorem
  • Parallel postulate
  • Picks theorem
  • Cyclic quadrilateral
  • Quadrilateral
  • Orthodiagonal quadrilateral
  • Equidiagonal quadrilateral
  • Bicentric quadrilateral
  • Kite geometry
  • Pons asinorum
  • Rhombus
  • Square
  • Rectangle
  • Trapezoid
  • Tangential quadrilateral
  • Isosceles trapezoid
  • Wang tile
  • Tessellation
  • Straightedge
  • Symmedian
  • Penrose tiling
  • Prototile
  • Aperiodic tiling
  • Sangaku
  • Trapezoid trapezium
  • Isosceles trapezoid
  • Triangle
  • Equilateral triangle
  • Eulers line
  • Integer triangle
  • Acute and obtuse triangles
  • Heronian triangle
  • Herons formula
  • Triangle inequality
  • List of triangle topics
  • List of triangle inequalities
  • Pedoes inequality
  • Isosceles triangle
  • Pythagorean triangle
  • Pedal triangle
  • Pythagorean theorem
  • Right triangle
  • Trigonometry
  • List of trigonometry topics
  • Wallpaper group
                                     

1.2. Euclidean geometry, foundations 3-dimensional Euclidean geometry solid geometry

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


                                     

1.3. Euclidean geometry, foundations n -dimensional Euclidean geometry

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

2. Other geometries not Euclidean

  • Hyperplane at infinity
  • Projective line
  • Line at infinity
  • Point at infinity
  • Desargues theorem
  • Oval projective plane
  • Plane at infinity
  • Arc projective geometry
  • Girard Desargues
  • Roman surface
  • Desarguesian plane
  • Projective geometry
  • Projective plane
  • Complex projective line
  • Projective transformation
  • Projective space
  • Mobius transformation
  • Fundamental theorem of projective geometry
  • Complex projective plane
  • Cross-ratio
  • Homogeneous coordinates
  • Duality
  • Pascals theorem
  • Pappuss hexagon theorem
  • Incidence
  • Affine space
  • Affine transformation
  • Affine geometry
  • Differential geometry
  • Contact geometry
  • Riemannian geometry
  • Symplectic geometry
  • Finite geometry
  • Angle excess
  • Tractricoid
  • Non-Euclidean plane geometry
  • Hyperbolic geometry
  • Pseudosphere
  • Spherical geometry
  • Elliptic geometry
  • Minkowski space
  • Thurstons conjecture
  • Unilalian geometry
                                     

3. Numerical geometry

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


                                     

4. Various

  • Relative direction
  • Coordinate-free treatment
  • Mirror image
  • Handedness
  • Chirality
  • Lattice
  • Pi
  • Wallpaper group
  • Symmetry group
  • Hadwigers theorem
  • Group action, invariant
  • Space group
  • Polar sine
  • Point group
  • Four-dimensional space
  • Crystal system
  • Point groups in two dimensions
  • Erlangen program
  • Translational symmetry
  • Point groups in three dimensions
  • Symmetry, shape, pattern
  • Frieze group
  • Isometry
  • Infinitesimal transformation
  • Mathematics and fiber arts
  • Van Hiele model - Prevailing theory of how children learn to reason in geometry
                                     

5. Applications

  • Astronomy
  • Burmesters theory for the design of mechanical linkages
  • Robot control
  • The Strahle construction is used in the design of some musical instruments.
  • Image analysis
  • Computer graphics
                                     
  • a list of differential geometry topics See also glossary of differential and metric geometry and list of Lie group topics List of curves topics Frenet Serret
  • Discrete geometry Distance geometry Elliptic geometry Enumerative geometry Epipolar geometry Finite geometry Geometry of numbers Hyperbolic geometry Information
  • This is a list of algebraic geometry topics by Wikipedia page. Affine space Projective space Projective line, cross - ratio Projective plane Line at infinity
  • of geometry topics List of geometric shapes List of curves topics List of triangle topics List of circle topics List of topics related to pi List of general
  • an alphabetical index of articles related to curves. See also curve, list of curves, and list of differential geometry topics Acnode Algebraic curve
  • List of numerical computational geometry topics enumerates the topics of computational geometry that deals with geometric objects as continuous entities
  • This is a list of computer graphics and descriptive geometry topics by article name. 2D computer graphics 2D geometric model 3D computer graphics 3D
  • This is a list of polynomial topics by Wikipedia page. See also trigonometric polynomial, list of algebraic geometry topics Degree: The maximum exponents
  • computational geometry topics CAD CAM CAE List of geometric algorithms Solid modeling Computational topology Digital geometry Discrete geometry combinatorial