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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

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.

Undergraduate Texts in Mathematics

Graduate Texts in Mathematics

Graduate Studies in Mathematics

Mathematics Encyclopedia

World

Index

Hellenica World - Scientific Library

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