math255.htm: Navigation in lt
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Top
General Information
Course description and Schedule
Web page
Warnings and Disclaimers
Seven Top Reasons to Enjoy Geometry
Points and Lines Connected with a Triangle
The extended Law of Sines
Ceva's theorem
Points of intersect
The incircle and excircles
The orthic triangle
The medial triangle and Euler line
Some properties of Circles
The power of point with respect to a circle
The radical axis of two circles
Coaxal circles
Simpson line
Ptolemy's theorem and its extension
Collinearity and Concurrence
Quadrangles; Varignon's theorem
Cyclic quadrangles; Brahmagupta's formula
Menelaus's theorem
Pappus's theorem
Perspective triangles; Desargues's theorem
Hexagons
Pascal's theorem
Transformations
Translations
Rotations
Half-turn
Reflections
Dilation
Spiral symmetry
A genealogy of transformations
An Introduction to Inversive Geometry
Separation
Cross Ratio
Inversion
The inversive plane
An Introduction to Projective Geometry
Reciprocation
Conics
The projective plane
Stereographic and gnomonic projection
Some Useful Theorems
Some Useful Tricks
Look for a triangle
Investigate a particular case
Index
Last modified May 22, 2003