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Geometry

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Published on Tuesday, May 6, 1997 by Gideon Ariel

Geometry

Geometry (from the Greek words geo = earth and metro = measure) is the branch of mathematics first popularized in ancient Greek culture by Thales (circa 624-547 BC) dealing with spatial relationships.

Because of its immediate practical applications, geometry was one of the first branches of mathematics to be developed. Likewise, it was the first field to be put on an axiomatic basis, by Euclid. The Greeks were interested in many questions about ruler-and-compass constructions. The next most significant development had to wait until a millennium later, and that was analytic geometry, in which coordinate systems are introduced and points are represented as ordered pairs or triples of numbers. This sort of representation has since then allowed us to construct new geometries other than the standard Euclidean version.

Select one of the following geometry concepts:

See also

2DTwo-dimensional coordinate system
3DThree-dimensional coordinate system
AngleDefinition of an angle
AxisDefinition of Cartesian axis
Cartesian geometryWhat is Cartesian geometry?
Coordinate systemDefinition of coordinates
CurveDefinition of a curve
DistanceDefinition of distance
Euclidean geometryWhat is Euclidean geometry?
GeometryDefinition of geometry
LengthDefinition of length
LineDefinition of a line
OriginDefinition of origin in a Cartesian coordinate system
Perspective projectionDefinition of perspective projection
Planar homographyDefinition of planar homography
PlaneDefinition of a plane
PointDefinition of a point
Point (kinematics)Definition of a point (kinematics)
Projective geometryWhat is projective geometry?
Segment (kinematics)Definition of a segment (kinematics)
Vanishing pointsDefinition of vanishing points and vanishing lines in perspective projection
VectorDefinition of a vector

Reference: /wizard/manual/concepts/geometry.html
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