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Geometry is the field of mathematics dealing with figures in a given space.

Euclidean Geometry

Main article: Euclidean geometry

The most common type of geometry used in pre-collegiate mathematics competitions is Euclidean geometry. This type of geometry was first formally outlined by the Greek mathematician Euclid in his book The Elements.

Eleventh Postulate

Main article: The Eleventh Postulate

The eleventh postulate stated in the book,

“Through any line and a point not on the line, there is exactly one line passing through that point parallel to the line”

was the subject of a controversy for many centuries. This postulate is the basis of Euclidean geometry.

Non-Euclidean Geometry

Non-Euclidean geometry are geometries in which the eleventh postulate is altered. Types of non-Euclidean geometry include:

Student Guides to Geometry

Other Topics of Interest

See also

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