Sept 4: Answer discussion question 1
Read section 2.2 to page 45. Take notes on the following questions:
-How are Euclid's definitions different from what you would expect from those same definitions?
-How are postulates 1, 2 and 3 different from 4 and 5?
-How are propositions 1-3 different from 4-8? Is 9 more like 1-3 or 4-8?
Be prepared to present:
-Explain what postulate 5 means
-Explain what postulate S means
-Explain what postulate A means

--First, try to do the constructions specified in propositions 1-3.
--Then read in section 2.3, pages 46-50.
-- Be prepared to present your constructions and Euclid's constructions and how they are different. Think about what assumptions make those constructions different.
--Read and be prepared to explain proposition 4 (page 52-53).

Sept 9
Homework:
1. Show how to do Euclid's construction for I.2 with a line segment that is long compared to the distance between point A and endpoint B.
2. Show how to do Euclid's construction for I.2 with a line segment that is short compared to the distance between point A and endpoint B.
3. Show how to do Euclid's construction for I.3 including the I.2 construction as step 1.
Check your notes: make sure you know how to explain how Euclid's compass is different from a high-school compass.

Write up the construction and proof (in a way similar to how it is done in the book for I.2) for the constructions given in exercises 2.3 A pg. 51 # 4 and 5.

Fix up your construction and proof to turn in Monday (pg 51 # 4, 5)

Read through carefully and be prepared to explain Euclid's proof of I.5

Sept. 16 Homework: 2.3 C # 2-4 pg 55.
Write up to turn in. If time allows, you may have the opportunity to present one of these to the class.

Sept 18 HW. Re-prove 2.3C # 4 for the case I drew in class (where CD lies to the left/right and does not intersect AB).
Read ahead to theorems 6 and 7, paying special attention to the supposition statements that set up the proofs by contradiction.

2.3N #8. 2.3O #2 and 5. Prove I.25 (use contradiction and I.24)

Do for homework and be prepared to present these problems

Poincare disk computer walkthroughs:
Non-Euclid: website, walkthrough
Geogebra: website, walkthrough

Print outs:
Quadrilateral Theorems
Area Theorems
(HW: read the area section in the book)

Thanksgiving