Reading For the first few lectures.
This class-to reading matchup is a bit inexact:
meaning, for example, that some of the reading for class 2 might be
more timely and useful to class 3 or inversely some of class 3's reading might be more useful in class 2.
Class 1:
Pillars: Ch 1: p. 1-10. Ch 2: sections 2.1, 2.2, and 2.7.
Note: Sec. 2.7 contains what I called `Thales' Theorems, I and 2' in class
the 1st day. Stillwell calls another theorem - see his sec. 2.6--
``Thales' Theorem ' "
Euclid: Book 1: Thru to parallel postulate usage (I.29, 30, 31). Then skip to
what I call ``Thales''" : III.20, 31.
Class 2 [Sept 30] : [Postulates. Parallel Postulates. Angles sum to 180. Construction of various angles.
Inscribing and circumscribing N-gons, N=3, 4, 6, 8]
Pillars: p. 4, 5. Sec 2.1, 2.2 section 2.2; rest of ch. 2.
Euclid: Read the postulates for sure. Some common notions.
Then I.1-I.33 or 34. Esp. I.29- I.32. All of book IV except the Pentagon propositions.
Class 3 [Oct 2] . [ AREA. SCALING. SIMILARITY]
Pillars: p. 5 and 6. Ch. 2: 2.3, .4, .5 Maybe 2.6 . Pythagoras. 2.5, 2.7.
Euclid: I.35-I. 49. Esp. I.48, I.49. What does Euclid mean by ``equal'' in I.35?
Weeks of Oct 7-18. After these readings
we have the material needed for midterm.
Euclid: IV.2-.5: inscribing and circumscribing triangles, circles.
IV.10-13: pentagons.
IV.14-15: hexagons.
[Potential HW: Make sense of the construction of IV.16 for a regular 15-gon. Why does it work?]
Book III. esp III.15-.34 (III.17 was Friday and Monday's in class assignment)
Reader: pp. 1-15.
Pillars: ch 1-2.