Homework Sheet Number Two

1. Do homework problem #4.1 from the problems for chapter 3 of the text. That is, use the picture to prove the Pythagorean Theorem.

(Web site thereof)

2. Explain Hippocrates’ quadrature of the lune. What did he do? How did he do it?

3. What is the quadratrix of Hippias? How can you use it to trisect an angle?

4. Use an inscribed hexagon, and a circumscribed hexagon in the style of Eudoxus to

give bounds on the value of the number P. (For math credit, use 12 sided polygons,

regular dodecagons.)