Assignments for Weeks 8 and 9


Read Chapter 4. Deemphasize the non-obtuse-angle theorem (pp. 185-186) and "Note for advanced students" (from p. 188 through the top of p. 190). Also, we will not have time to study the proofs in this chapter as thoroughly as those in Chapter 3; however, the statements of the propositions (especially in the Saccheri-Lambert sections at the end) are very important for understanding later chapters.

Discussion questions

Each team is responsible for leading the class discussion of one of the propositions in the main text left as exercises:

Homework due Wednesday, Nov. 4 (in Week 10)

  1. Exercise 4, p. 193
  2. Exercise 19, p. 197. What would happen if the plane is NOT semi-Euclidean? (See pp. 185-186.)
  3. Exercise 30, p. 199.
  4. Exercise 32, p. 199.

In addition, each team should turn in a single written version of its proof.