Difference between revisions of "Geometry"
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(started sub-points on triangles in Intro section) |
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* [[Similarity]] | * [[Similarity]] | ||
* [[Triangle | Triangles]] | * [[Triangle | Triangles]] | ||
| + | ** [[Right triangles]] | ||
| + | *** [[Pythagorean Theorem]] | ||
| + | ** [[Similar triangles]] | ||
* [[Parallel | Parallel lines]] | * [[Parallel | Parallel lines]] | ||
* [[Quadrilateral]]s | * [[Quadrilateral]]s | ||
Revision as of 15:46, 11 July 2006
Geometry is the field of mathematics dealing with figures in a given space.
Contents
Introductory Topics
- 3D Geometry
- Area
- Circles
- Similarity
- Triangles
- Parallel lines
- Quadrilaterals
- Polygons
- Power of a point
- Triangle Inequality
Intermediate Topics
- 3D Geometry
- Angle bisector theorem
- Area
- Mass Point Geometry
- Ptolemy's Theorem
- Cyclic quadrilaterals
- Stewart's Theorem
- Trigonometry
Olympiad Topics
- 3D Geometry
- Brocard points
- Collinearity
- Complex numbers
- Concurrency
- Directed angles
- Geometric inequalities
- Homothecy
- Inversion
- Isogonal conjugates
- Projective geometry
- Radical axis
- Transformations
- Trigonometry
- Trilinear Coordinates
Other Topics of Interest
- The notion of dimensions
Resouces
Listed below are various geometry resources including books, classes, websites, and computer software.
Books
- Introductory
- the Art of Problem Solving Introduction to Geometry by Richard Rusczyk (details)
- Intermediate
- Challenging Problems in Geometry by Posamentier, Salkind (details)
- Olympiad
- Advanced Euclidean Geometry by Posamentier (details)
- Geometry Revisited by Coxeter and Greitzer (details)
- Geometry Unbound
Websites
All of these links are outside of [AoPSWiki].
Software
These are all outside links.
Miscellaneous
- Introductory
