Benedict's Mathematical Gleanings

These pages contain some of the bits of maths that most excite me. Many of them are geometrical, and have been put together using Geometry Sketchpad.

 
Pappus's Theorem Take any 2 lines and choose 3 points on each. Taking the points four at a time, two from each line, find the point where the diagonals intersect. The three such points are collinear.
Desargues's Theorem Two triangles have corresponding vertices as projections of each other from one point. Find the 3 points where corresponding sides intersect. The 3 points are collinear.

 

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Updated 17/12/2003 00:31