## Assignments for Weeks 6 and 7

**Midterm test on Friday, October 13, covers through
"Congruence".** Revised paper is due Friday, October 20.

### Reading

Read the remainder of Chapter 3.
Deemphasize the three proofs on pp. 133-134 and 136-137, the "notes for
advanced students" on pp. 141-142 and 143-144, and any field theory you don't
understand on pp. 139-141.

### Discussion questions

We will work on these in class:
- Exercises 21, 22, 23, p. 150. (Prop. 3.13;
in addition to their intrinsic importance, these
are preparation for the assigned homework, Ex. 31.)
- Exercise 35, p. 152.
- If time permits, Exercises 29 (Prop. 3.20) and 33, p. 152.

### Homework due Wednesday, October 18 (in Week 8)

- Exercise 26, p. 151. (Prop. 3.17)
- Exercise 27, p. 152.
(Prop. 3.18)
- Formulate and prove an analogue of Prop. 3.12 for
angles.
**(W)**
- Exercise 31, p. 152. (Use the lemma you proved
in the previous problem! Include a statement of your lemma (not the
proof) in the regular homework paper, so the grader will know what you
are trying to do there.)
- Exercise 32, p. 152. (Prop. 3.22)
- Exercise 34, p. 152.
- Read the proofs in Exercises 20 and 24 (Props.
3.11 and 3.14) but don't hand anything in.