Name _________________________________
From Euclid to Spigotry
Assignment 6 (outlines 6 and 7)
Last modified: September 14, 2004
You can do everything on this piece of paper and hand it in.
1. Here is a construction of
"extreme and mean proportion"
inspired by the diagram at the
bottom of page 2 of Bold. The
larger circle has diameter 3;
the smaller one has diameter 1.
The length of segment BC is x.
Show that x(x+1) = 1.
Then use the segment AB, divided at C,
to complete Euclid's construction
of the pentagon.

2. Measure the lengths of the segments for the triangle below, and confirm that the theorem of
Menelaus is obeyed.