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A Beautiful Journey through Olympiad Geometry
A Beautiful Journey through Olympiad Geometry

Topics:

  • Geometry
  • Theories
  • Basics

Language:

English

File Size:

22.5 MB

Published in:

2020

Authors:

  • Stefan Lozanovski

Contents:


  • Congruence of Triangles
  • Angles of a Transversal
  • Area of Plane Figures
  • Similarity of Triangles
  • Circles
  • Important Centers in a Triangle
  • Excircles
  • Collinearity
  • Concurrence
  • Useful Lemmas
  • Phantom Points
  • Basic Trigonometry
  • Symmedians
  • Power of a Point
  • Collinearity II
  • Concurrence II
  • Homothety
  • Spiral Similarity
  • Inversion
  • Completing Quadrilateral
  • Harmonic Ratio
  • Feuerbach's Theorem
  • Isogonal Lines
  • Mixtilinear Incircles
  • Apollonian Circles
  • Apollonius' Problem
  • Feuerbach Circle
  • Nine-Point Circle
  • Simson Line
  • Pascal's Theorem