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geometry

Geometry is the part of mathematics that deals with calculating the distance around a circle, the angles that make up a triangle, or the amount of room inside a cube. If it involves measuring space, it’s probably geometry.

The Greek roots of geometry literally mean “to measure earth,” and over 5000 years ago farmers started using geometry to figure out how much land they owned. You study geometry in school, and you use it all the time, like calculating the best angle to cut a piece of wood for a birdhouse, or when playing a game of pool. Astronomers use geometry to measure planets millions of miles away—much easier than finding a ruler that big.

DEFINITIONS OF: geometry

1

n the pure mathematics of points and lines and curves and surfaces

Types:
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affine geometry
the geometry of affine transformations
Euclidean geometry, elementary geometry, parabolic geometry
(mathematics) geometry based on Euclid's axioms
fractal geometry
(mathematics) the geometry of fractals
non-Euclidean geometry
(mathematics) geometry based on axioms different from Euclid's
spherical geometry
(mathematics) the geometry of figures on the surface of a sphere
analytic geometry, analytical geometry, coordinate geometry
the use of algebra to study geometric properties; operates on symbols defined in a coordinate system
plane geometry
the geometry of 2-dimensional figures
solid geometry
the geometry of 3-dimensional space
descriptive geometry, projective geometry
the geometry of properties that remain invariant under projection
hyperbolic geometry
(mathematics) a non-Euclidean geometry in which the parallel axiom is replaced by the assumption that through any point in a plane there are two or more lines that do not intersect a given line in the plane
Riemannian geometry, elliptic geometry
(mathematics) a non-Euclidean geometry that regards space as like a sphere and a line as like a great circle
Type of:
pure mathematics
the branches of mathematics that study and develop the principles of mathematics for their own sake rather than for their immediate usefulness
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