# 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]] |

− | ** | + | ***[[Ptolemy's Theorem]] |

− | ** | + | ** [[Orthic triangle]] |

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

− | ** | + | ** [[Directed angles]] |

− | ** | + | ** [[Radical Axis]] |

− | ** | + | ** [[Similar triangles]] |

− | ** | + | ** [[Ceva's Theorem]] |

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

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

− | ** | + | ** [[Euler line]] |

− | ** | + | ** [[Simson line]] |

− | * | + | ** [[Isogonal conjugates]] and [[Isotomic conjugates]] |

− | ** | + | ** [[Symmedians]] |

− | ** | + | * Analytic Geometry |

− | ** | + | ** [[Trigonometry]] |

− | ** | + | ** [[Linear algebra]] |

− | * | + | ** [[Complex numbers]] |

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

− | ** | + | ** [[Trilinear coordinates]] |

− | ** | + | * Transformations |

− | ** | + | ** [[Homothety]] |

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

− | *** [[ | + | ** [[Inversive geometry]] |

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

+ | * Miscellaneous | ||

+ | ** [[Construction]] | ||

+ | ** [[Locus]] | ||

+ | ** [[3D Geometry]] | ||

+ | ** [[Geometric Inequalities]] | ||

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

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

## Revision as of 17:17, 8 May 2021

The following is a list of olympiad geometry topics.

- Synthetic geometry
- Analytic Geometry
- Transformations
- Miscellaneous

## Contents

## Resources

### Books

- Euclidean Geometry In Mathematical Olympiads by Evan Chen
- Geometry Revisited -- A classic.
- Geometry of Complex Numbers by Hans Schwerdtfeger.
- 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 various subjects including geometry.