# Difference between revisions of "Geometry/Olympiad"

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The following is a list of olympiad [[geometry]] topics. | The following is a list of olympiad [[geometry]] topics. | ||

− | * [[ | + | * Synthetic geometry |

− | * [[ | + | ** [[Cyclic quadrilaterals]] |

− | * [[ | + | ** [[Orthic triangle]] |

− | * [[ | + | ** [[Incenter-Excenter Lemma]] |

− | **[[ | + | ** [[Directed angles]] |

− | * [[ | + | ** [[Radical Axis]] |

− | * [[ | + | ** [Ceva's Theorem]] |

− | * [[ | + | ** [[Menelaus' Theorem]] |

− | * [[ | + | ** [[Nine-point circle]] |

− | * [[ | + | ** [[Euler line]] |

− | * [[ | + | ** [[Simpson line]] |

− | * [[ | + | ** [[Isogonal conjugate]] and [[Isotomic Conjugate]] |

− | * [[ | + | ** [[Symmedian]] |

− | **[[ | + | * Analytic Geometry |

− | **[[ | + | ** [[Trigonometry]] |

− | **[[ | + | ** [[Complex numbers]] |

− | **[[ | + | ** [[Barycentric coordinates]] |

− | * [[ | + | ** [[Trilinear Coordinates]] |

− | * [[ | + | * Transformations |

− | * [[ | + | ** [[Homothety]] |

− | * [[ | + | ** [[Rotation]] and [[Reflection]] |

− | + | ** [[Inversive geometry]] | |

+ | ** [[Projective geometry]] | ||

+ | *** [[Cross Ratio]] | ||

+ | *** [[Harmonic Bundle]] | ||

+ | *** [[Polars]] and [[Brocard's Theorem]] | ||

+ | *** [[Pascal's Theorem]] | ||

== Resources == | == Resources == | ||

=== Books === | === Books === | ||

+ | *[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]] | ||

* [http://www.amazon.com/exec/obidos/ASIN/0883856190/artofproblems-20 Geometry Revisited] -- A classic. | * [http://www.amazon.com/exec/obidos/ASIN/0883856190/artofproblems-20 Geometry Revisited] -- A classic. | ||

* [http://www.amazon.com/exec/obidos/ASIN/0486638308/artofproblems-20 Geometry of Complex Numbers] by Hans Schwerfdtfeger. | * [http://www.amazon.com/exec/obidos/ASIN/0486638308/artofproblems-20 Geometry of Complex Numbers] by Hans Schwerfdtfeger. | ||

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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]]. | ||

− | |||

See [[math books]] for additional texts. | See [[math books]] for additional texts. | ||

## Revision as of 14:52, 8 May 2021

The following is a list of olympiad geometry topics.

- Synthetic geometry
- Analytic Geometry
- Transformations

## Contents

## Resources

### Books

- Euclidean Geometry In Mathematical Olympiads by Evan Chen
- 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.

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.