Euclidean geometry

:For a topic other than geometry whose name includes the word "Euclidean", see Euclidean algorithm.

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In mathematics, Euclidean geometry is the familiar kind

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of geometry on the plane or in three dimensions.

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Mathematicians sometimes use the term to encompass higher dimensional

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geometries with similar properties.

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It is important to remember that, in the original and correct conception, geometry is, first of all, a physical science ("the noblest of the physical sciences"); that is, the logical definition of geometry (its fundamental assumptions or axioms) arises directly out of observation. Abstract geometries may be exclusively mathematical, but, whenever so, they are different from physical geometries.

Related Topics:
Axiom - Abstract geometries

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Euclidean geometry sometimes means geometry in the plane

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which is also called plane geometry. Plane geometry is the topic of this article.

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Euclidean geometry is also based off of the Point-Line-Plane postulate.

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Euclidean geometry in three dimensions is traditionally called solid geometry.

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For information on higher dimensions see Euclidean space.

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Plane geometry is the kind of geometry usually taught in high school.

Related Topics:
Geometry - High school

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Euclidean geometry is named after the Greek mathematician Euclid.

Related Topics:
Greek - Euclid

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Euclid's text Elements is an early systematic treatment of

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this kind of geometry.

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