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Euclidean geometry

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Published on Sunday, May 4, 1997 by Gideon Ariel

Euclidean geometry

In mathematics, Euclidean geometry is the familiar kind of geometry in two dimensions (on a plane) or in three dimensions. Mathematicians sometimes use the term to encompass higher dimensional geometries with similar properties.

Euclidean geometry sometimes means geometry in the plane which is also called plane geometry. Plane geometry is the kind of geometry usually taught in high school. Euclidean geometry in three dimensions is traditionally called solid geometry. 

Euclidean geometry is named after the Greek mathematician Euclid. Euclid's text Elements is an early systematic treatment of this kind of geometry.

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.euclidean.html
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