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.
  
* [[3D Geometry]]
+
*   Synthetic geometry
* [[Brocard point]]
+
**  [[Cyclic quadrilaterals]]
* [[Collinearity]]
+
**  [[Orthic triangle]]
* [[Complex numbers]]
+
*[[Incenter-Excenter Lemma]]
**[[Unit Circle]]
+
*[[Directed angles]]
* [[Barycentric coordinates]]
+
*[[Radical Axis]]
* [[Concurrency]]
+
**  [Ceva's Theorem]]
* [[Directed angles]]
+
** [[Menelaus' Theorem]]
* [[Geometric inequalities]]
+
*[[Nine-point circle]]
* [[Homothecy]]
+
*[[Euler line]]
* [[Circular Inversion]]
+
*[[Simpson line]]
* [[Isogonal conjugate]]
+
**  [[Isogonal conjugate]] and [[Isotomic Conjugate]]
* [[Projective geometry]]
+
*[[Symmedian]]
**[[Harmonic Bundles]]
+
*   Analytic Geometry
**[[Polars]]
+
**  [[Trigonometry]]
**[[Brocard's Theorem]]
+
*[[Complex numbers]]
**[[Pascal's Theorem]]
+
*[[Barycentric coordinates]]
* [[Radical axis]]
+
** [[Trilinear Coordinates]]
* [[Transformations]]
+
*  Transformations
* [[Trigonometry]]
+
** [[Homothety]]
* [[Trilinear Coordinates]]
+
** [[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]].
*[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.
  

Revision as of 14:52, 8 May 2021

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