Discussion and Homework
Second Reading Assignment

Questions for Discussion

Introduction

1. What's the big deal about the "Catalogue of Geometers"?
2. What are the basic contributions of Pythagoras and his followers?
3. What is the "application of areas"?

Reading 7

1. What does it mean to "measure" a number?
2. Give an example of an "even-times even number" and an "even-times odd number".
3. We have different terminology for "prime to one another". What is our terminology?
4. How do the definitions of "plane" and "solid" differ from what you think or from more "modern" definitions?
5. Without using fractions, write out what "proportional" means.

Reading 8

1. This is a big one. Know this!

Reading 10

1. Look at the definition of the geometric mean. How does this relate to the terms of a geometric series?

Reading 12

1. Look up the proof of this theorem in a geometry book. Write the modern proof down and compare the two.

Reading 13

1. What does this mean? In other words, what does application of areas mean here?

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