The List of geometry topics reference article from the English Wikipedia on 24-Apr-2004 (provided by Fixed Reference: snapshots of Wikipedia from wikipedia.org)

List of geometry topics

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.

Table of contents

1 Types, methodologies, and terminologies of geometry 2 Euclidean geometry, foundations 2.1 Euclidean plane geometry 2.2 3-dimensional Euclidean geometry (solid geometry) 2.3 N-dimensional Euclidean geometry 3 Non-Euclidean geometry 4 Numerical geometry 5 Geometric algorithms 6 Mathematical morphology 7 Generalizations 8 Various 9 Applications 10 Related topics

Types, methodologies, and terminologies of 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
• Elliptic geometry
• Euclidean geometry
• Finite geometry
• Geometry of numbers
• Hyperbolic geometry
• Information geometry
• Integral geometry
• Inversive geometry
• Non-Euclidean geometry
• Numerical geometry
• Plane geometry
• Projective geometry
• Riemannian geometry
• Spherical geometry
• Symplectic geometry
• Synthetic geometry
• Transformation geometry

Euclidean geometry, foundations

• Point (geometry)
• Locus (mathematics)
• Line
• 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)
• 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
• Cyclic quadrilateral
• Heron's formula
• Pappus's theorem
• Parallel postulate
• Polygon
  • Star polygon
  • Pick's theorem
  • Bolyai-Gerwien theorem
• Straightedge
• Ruler-and-compass constructions
  • Squaring the circle
• Tiling
  • Prototile
  • Tessellation
  • 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 partition
  • Ray tracing
  • Graham scan
• Crystal
• Desargues' theorem
• Right circular cone
• Hyperboloid
• Paraboloid
• Polyhedron
  • 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

• 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
  • Schläfli 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
  • Line at infinity
• 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
    • Linear spline
    • Quadratic spline
    • Cubic 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
• Group action, invariant
• Incidence (geometry)
• List of terms based on the word cube
• Pi
• Projective transformation
• Symmetry, shape, pattern
  • Symmetry group
  • Frieze pattern

Applications

• Astronomy
• Computer graphics
• Image analysis
• Robot control

Related topics

• Mathematics

This is the "List of geometry topics" reference article from the English Wikipedia. All text is available under the terms of the GNU Free Documentation License. See also our Disclaimer.