Outline of geometry
Appearance
Geometry |
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Geometers |
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
- Timeline of geometry
- Babylonian geometry
- Egyptian geometry
- Ancient Greek geometry
- Indian mathematics
- Modern 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
Trigonometric functions
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
Lists
See also
Further reading
- Rich, Barnett (2009). Schaum's Outline of Geometry (4th ed.). New York: McGraw-Hill. ISBN 978-0-07-154412-2.