Supplementary Investigation 5

Finite Geometry of Desargues

Tool(s) Geometers Sketchpad

Data File(s) si5

Focus The finite geometry of Gerard Desargues (1591 - 1662) involves a total of ten points on ten lines.

Tasks

1. How many labeled points are there on each line? How many lines are concurrent at each labeled point?

2. What relationship exists between corresponding vertices and point P?

3. What relationship exists between corresponding sides and line RST?

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