Difference between revisions of "Geometry"

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'''Geometry''' is the field of [[mathematics]] dealing with figures in a given space.
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'''Geometry''' is the field of [[mathematics]] dealing with figures in a given space.  
  
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== Euclidean Geometry ==
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{{main|Euclidean geometry}}
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The most common type of geometry used in pre-[[college|collegiate]] [[mathematics competitions]] is Euclidean geometry. This type of geometry was first formally outlined by the Greek [[mathematician]] [[Euclid]] in his book ''[[The Elements]]''.
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===Eleventh Postulate===
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{{main|The Eleventh Postulate}}
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The eleventh [[postulate]] stated in the book,
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:''“Through any line and a point not on the line, there is exactly one line passing through that point parallel to the line”''
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was the subject of a controversy for many centuries. This postulate is the basis of Euclidean geometry.
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== Non-Euclidean Geometry ==
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Non-Euclidean geometry are geometries in which the eleventh postulate is altered. Types of non-Euclidean geometry include:
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*[[Elliptical geometry]]
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*[[Hyperbolic geometry]]
 
== Student Guides to Geometry ==
 
== Student Guides to Geometry ==
  
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== See also ==
 
== See also ==
* [[Table of Contents]]
 
 
* [[Mathematics news]]
 
* [[Mathematics news]]
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* [[The Elements]]
  
 
[[Category:Geometry]]
 
[[Category:Geometry]]

Revision as of 21:21, 3 December 2007

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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