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 16:17, 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.
