Difference between revisions of "Geometry/Olympiad"
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* [[Collinearity]] | * [[Collinearity]] | ||
* [[Complex numbers]] | * [[Complex numbers]] | ||
| + | **[[Unit Circle]] | ||
| + | *[[Barycentric Coordinate]] | ||
* [[Concurrency]] | * [[Concurrency]] | ||
* [[Directed angles]] | * [[Directed angles]] | ||
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* [[Isogonal conjugate]] | * [[Isogonal conjugate]] | ||
* [[Projective geometry]] | * [[Projective geometry]] | ||
| + | **[[Harmonic Bundles]] | ||
| + | **[[Polars]] | ||
| + | **[[Brocard's Theorem]] | ||
| + | **[[Pascal's Theorem]] | ||
* [[Radical axis]] | * [[Radical axis]] | ||
* [[Transformations]] | * [[Transformations]] | ||
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* [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/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]]. | ||
| + | *[https://www.amazon.com/Euclidean-Geometry-Mathematical-Olympiads-Problem/dp/0883858398/ref=cm_cr_arp_d_product_top?ie=UTF8 Euclidean Geometry In Mathematical Olympiads] by [[Evan Chen]] | ||
See [[math books]] for additional texts. | See [[math books]] for additional texts. | ||
=== Classes === | === Classes === | ||
| − | * The [http://www.artofproblemsolving.com/school/course/olympiad-geometry Olympiad | + | * The [http://www.artofproblemsolving.com/school/course/olympiad-geometry Olympiad Geometry] class, an Olympiad level course over geometry. |
* The [http://www.artofproblemsolving.com/school/course/woot Worldwide Online Olympiad Training (WOOT) Program] -- Olympiad training in a variety of subjects, including geometry. | * The [http://www.artofproblemsolving.com/school/course/woot Worldwide Online Olympiad Training (WOOT) Program] -- Olympiad training in a variety of subjects, including geometry. | ||
Revision as of 12:16, 24 June 2018
The following is a list of olympiad geometry topics.
- 3D Geometry
- Brocard point
- Collinearity
- Complex numbers
- Barycentric Coordinate
- Concurrency
- Directed angles
- Geometric inequalities
- Homothecy
- Inversion
- Isogonal conjugate
- Projective geometry
- Radical axis
- Transformations
- Trigonometry
- Trilinear Coordinates
Contents
Resources
Books
- Geometry Revisited -- A classic.
- Geometry of Complex Numbers by Hans Schwerfdtfeger.
- Geometry: A Comprehensive Course by Dan Pedoe.
- Non-Euclidean Geometry by H.S.M. Coxeter.
- Projective Geometry by H.S.M. Coxeter.
- Euclidean Geometry In Mathematical Olympiads by Evan Chen
See math books for additional texts.
Classes
- The Olympiad Geometry class, an Olympiad level course over geometry.
- The Worldwide Online Olympiad Training (WOOT) Program -- Olympiad training in a variety of subjects, including geometry.
