Difference between revisions of "Geometry/Olympiad"

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An olympiad level study of [[geometry]] involves familiarity with intermediate topics to a high level, a multitude of new topics, and a highly developed proof-writing ability.
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An olympiad-level study of [[geometry]] involves familiarity with intermediate topics to a high level, a multitude of new topics, and a highly developed proof-writing ability.
  
 
== Topics ==
 
== Topics ==
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* [[Homothety]]
 
* [[Homothety]]
 
* [[Rotation]] and [[Reflection]]
 
* [[Rotation]] and [[Reflection]]
* [[Inversive geometry]]
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* [[Circular inversion]]
 
* [[Projective geometry]]
 
* [[Projective geometry]]
 
**[[Brocard's Theorem]]
 
**[[Brocard's Theorem]]
 
**[[Pascal's Theorem]]
 
**[[Pascal's Theorem]]
 
* [[Spiral similarity]]
 
* [[Spiral similarity]]
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=== Miscellaneous ===
 
=== Miscellaneous ===
 
* [[Construction]]
 
* [[Construction]]
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* [http://www.amazon.com/exec/obidos/ASIN/0486638308/artofproblems-20 Geometry of Complex Numbers] by Hans Schwerdtfeger.
 
* [http://www.amazon.com/exec/obidos/ASIN/0486638308/artofproblems-20 Geometry of Complex Numbers] by Hans Schwerdtfeger.
 
* [http://www.amazon.com/exec/obidos/ASIN/0486658120/artofproblems-20 Geometry: A Comprehensive Course] by Dan Pedoe.
 
* [http://www.amazon.com/exec/obidos/ASIN/0486658120/artofproblems-20 Geometry: A Comprehensive Course] by Dan Pedoe.
* [http://www.amazon.com/exec/obidos/ASIN/0883855224/artofproblems-20 Non-Euclidean Geometry] by [[H.S.M. Coxeter]].
 
 
* [http://www.amazon.com/exec/obidos/ASIN/0387406239/artofproblems-20 Projective Geometry] by [[H.S.M. Coxeter]].
 
* [http://www.amazon.com/exec/obidos/ASIN/0387406239/artofproblems-20 Projective Geometry] by [[H.S.M. Coxeter]].
 
See [[math books]] for additional texts.
 
See [[math books]] for additional texts.
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== See also ==
 
== See also ==
* [[Geometry]]
 
 
* [[Geometry/Introduction | Introductory Geometry]]
 
* [[Geometry/Introduction | Introductory Geometry]]
 
* [[Geometry/Intermediate | Intermediate Geometry]]
 
* [[Geometry/Intermediate | Intermediate Geometry]]

Latest revision as of 10:16, 18 June 2023