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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
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