Name ____________________________________
 From Euclid to Spigotry
Assignment 1 (outline 2)
Last modified: Sept. 15, 2004
You can do everything on this piece of paper and hand it in. 
1. Using the construction of Euclid, Book IV, Proposition 5, construct a circle that passes through the three vertices of the given triangle.

2. Using the construction of Euclid, Book IV, proposition 4, inscribe a circle in the given triangle.

3. Here are line segments of length 1, a, and b.  Construct segments of length a+b, a-b, ab, and a/b. It is OK to use your compass to transfer lengths.

4. Multiplication relies on Euclid, Book VI, Proposition 2.  Make a list of all the earlier propositions and postulates on which this one depends.  It is probably simplest to arrange this as a sort of tree diagram. (The links on the Euclid Web site make this easy.)