Outline of geometry

Updated on Dec 09, 2024

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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

Distance geometry

Numerical geometry

Plane geometry

Toric geometry

Transformation geometry

Tropical 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 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