Difference between revisions of "Geometry/Olympiad"

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The following is a list of olympiad [[geometry]] topics.
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An olympiad level study of [[geometry]] familiarity with intermediate topics to a high level, a multitude of new topics, and a highly developed proof-writing ability.
  
Synthetic geometry
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== Topics ==
** [[Cyclic quadrilaterals]]
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=== Synthetic geometry ===
***[[Ptolemy's Theorem]]
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* [[Cyclic quadrilaterals]]
** [[Orthic triangle]]
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**[[Ptolemy's Theorem]]
** [[Incenter-Excenter Lemma]]
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* [[Orthic triangle]]
** [[Directed angles]]
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* [[Incenter-Excenter Lemma]]
** [[Radical Axis]]
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* [[Directed angles]]
** [[Similar triangles]]
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* [[Radical Axis]]
** [[Ceva's Theorem]]
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* [[Similar triangles]]
** [[Menelaus' Theorem]]
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* [[Ceva's Theorem]]
** [[Nine-point circle]]
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* [[Menelaus' Theorem]]
** [[Euler line]]
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* [[Nine-point circle]]
** [[Simson line]]
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* [[Euler line]]
** [[Isogonal conjugates]] and [[Isotomic conjugates]]
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* [[Simson line]]
** [[Symmedians]]
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* [[Isogonal conjugates]] and [[Isotomic conjugates]]
Analytic geometry
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* [[Symmedians]]
** [[Trigonometry]]
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=== Analytic geometry ====
** [[Linear algebra]]
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* [[Trigonometry]]
** [[Complex numbers]]
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* [[Linear algebra]]
** [[Barycentric coordinates]]
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* [[Complex numbers]]
** [[Trilinear coordinates]]
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* [[Barycentric coordinates]]
Transformations
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* [[Trilinear coordinates]]
** [[Homothety]]
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=== Transformations ===
** [[Rotation]] and [[Reflection]]
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* [[Homothety]]
** [[Inversive geometry]]
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* [[Rotation]] and [[Reflection]]
** [[Projective geometry]]
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* [[Inversive geometry]]
* Miscellaneous
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* [[Projective geometry]]
** [[Construction]]
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**[[Brocard's Theorem]]
** [[Locus]]
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**[[Pascal's Theorem]]
** [[3D Geometry]]
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=== Miscellaneous ===
** [[Geometric inequalities]]
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* [[Construction]]
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* [[Locus]]
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* [[3D Geometry]]
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* [[Geometric inequalities]]
  
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== Resources ==
 
== Resources ==
 
=== Books ===
 
=== Books ===

Revision as of 17:37, 8 May 2021