History of Mathematics
Homework 3
Due Wednesday, October 6
1. Beginning, as did Archimedes, with a regular hexagon inscribed in a circle, use an
Archimedean recursion algorithm to nd either p12 and P12 or a12 and A12 . What value
of would be implied by th
10/25/10
History of Mathematics
Test Solutions
Do six of the following problems, including at least one of the nal three.
1. Show that
5 is incommensurable.
Suppose for contradiction that 5 is rational, say 5 = p/q. We may
assume that p and q are coprime
History of Mathematics
Homework 2
Due Monday, September 6
1. Write the number 0.0862 in Babylonian notation.
2. Verify that if (c/a)2 is 1; 33, 45 and b = 45 and c = 1, 15, then a, b, and c form a
Pythagorean triple.
3. Solve the following Old Babylonian