Outline of geometry

• Absolute geometry • Affine geometry • Algebraic geometry • Analytic geometry • Birational geometry • Complex 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 • Euclidean 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 • Ordered geometry • Parabolic geometry • Plane geometry • Projective geometry • Quantum geometry • Riemannian geometry • Ruppeiner geometry • Solid geometry • Spherical geometry • Symplectic geometry • Synthetic geometry • Systolic geometry • Taxicab geometry • Toric geometry • Transformation geometry • Tropical geometry ==General geometry concepts==

General concepts • Chirality • Handedness • Relative direction • Mirror image • Coordinate-free treatment • Four-dimensional space • Infinitesimal transformation • Geometric progression • Geometric shape • Pi • Angular velocity • Linear velocity • De Moivre's theorem • Similar triangles • Unit circle • Point • Line and Ray • Plane Measurements • Bearing • Angle • Degree • Minute • Radian • Circumference • Diameter Trigonometric functions • Trigonometric function • Asymptotes • Circular functions • Periodic functions • Law of cosines • Law of sines • Polar sine Vectors • Amplitude • Dot product • Norm (mathematics) (also known as magnitude) • Position vector • Scalar multiplication • Vector addition • Zero vector Vector spaces and complex dimensions • Complex plane • Imaginary axis • Linear interpolation • One-to-one • Orthogonal • Polar coordinate system • Pole • Real axis • Secant line • Circular sector or "sector" • Semiperimeter Symmetry, shape and pattern • 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 == Euclidean geometry foundations ==

• Hilbert's axioms • Locus • Line • Line segment • 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 • 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 • Involutes • Goat grazing problem • 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 • 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 • 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 ==

• Parametric curve • Bézier curve • Spline • Hermite spline • B-spline • NURBS • Parametric surface == Geometric algorithms ==

• Convex hull construction • Euclidean shortest path • Point in polygon • Point location • Hidden line removal == History of geometry ==

History of geometry • Timeline of geometry • Babylonian geometry • Egyptian geometry • Ancient Greek geometry • Euclidean geometry • Pythagorean theorem • Euclid's Elements • Measurement of a Circle • Indian mathematics • Bakhshali manuscript • Modern geometry • History of analytic geometry • History of the Cartesian coordinate system • History of non-Euclidean geometry • History of topology • History of algebraic geometry • Erlangen program • == Generalizations ==

• Noncommutative geometry • Topology == Connections to other fields ==

• Mathematics and fiber arts • Van Hiele model - Prevailing theory of how children learn to reason in geometry • 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 ==Lists==

• List of mathematical shapes • List of geometers • List of curves • List of curves topics • List of trigonometric identities ==See also==