Geometry

Geometry is the field of mathematics dealing with figures in a given space.

Introductory Topics

• Area
• Circles
• Similar figures
• Triangles
• Parallel lines
• Polygons
• Power of a Point

Intermediate Topics

• Angle bisector theorem
• Area
• Mass point geometry
• Ptolemy's theorem
• Cyclic quadrilaterals
• Stewart's Theorem
• Trigonometry

Olympiad Topics

• Brocard points
• Collinearity
• Complex numbers
• Concurrency
• Directed angles
• Geometric inequalities
• Homothecy
• Inversion
• Isogonal conjugates
• Projective geometry
• Radical axis
• Transformations
• Trigonometry

Other Topics of Interest

• The notion of dimensions
  • n-space

Additional Resouces

Olympiad

• Geometry Unbound