Outline of geometry

The following outline is provided as an overview of and topical guide to geometry:

Geometry is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space. Geometry is one of the oldest mathematical sciences.

Classical branches

• Algebraic geometry —
• Analytic geometry —
• Differential geometry —
• Euclidean geometry —
• Non-Euclidean geometry —
• Projective geometry —
• Riemannian geometry —

Contemporary branches

• Absolute geometry
• Affine geometry
• Archimedes' use of infinitesimals
• Birational geometry
• Complex geometry
• Combinatorial geometry
• Computational geometry
• Conformal geometry
• Constructive solid geometry
• Contact geometry
• Convex geometry
• Descriptive geometry
• Digital geometry
• Discrete geometry
• Distance geometry
• Elliptic geometry
• Enumerative geometry
• Epipolar geometry
• Finite geometry
• Geometry of numbers
• Hyperbolic geometry
• Information geometry
• Integral geometry
• Inversive geometry
• Klein geometry
• Lie sphere geometry
• Numerical geometry
• Ordered geometry
• Parabolic geometry
• Plane geometry
• Quantum geometry
• Ruppeiner geometry
• Spherical geometry
• Symplectic geometry
• Synthetic geometry
• Systolic geometry
• Taxicab geometry
• Toric geometry
• Transformation geometry
• Tropical geometry

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

General geometry concepts

General concepts

• Geometric progression — Geometric shape — Geometry — Pi — angular velocity — linear velocity — De Moivre's theorem — parallelogram rule — Pythagorean theorem — similar triangles — trigonometric identity — unit circle — Trapezoid — Triangle — Theorem — point — ray — plane — line — line segment

Measurements

• Bearing
• Angle
• Degree
• Minute
• Radian
• Circumference
• Diameter

Trigonometric functions

• Trigonometric function
  • Asymptotes
  • Circular functions
  • Periodic functions
  • Law of cosines
  • Law of sines

Vectors

Main article: Vector (geometric)

• 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

Lists

• List of mathematical shapes
• List of geometers
• List of curves
• List of curves topics

See also

• List of basic mathematics topics
• List of mathematics articles
• Table of mathematical symbols

Further reading

• Rich, Barnett (2009). Schaum's Outline of Geometry (4th ed.). New York: McGraw-Hill. ISBN 978-0-07-154412-2.