Read Chapter 3.
Optional reading topics: math examples from Pages 95 to 101; Theon’s Side and Diagonal Numbers from Pages 111-116 excluding Eudoxus of Cnidos; The Quadratrix of Hippias from Pages 130-134.
1. (1pt) Describe Thales’ influence upon mathematics (pages 86-90). Minimum 50 words.
2. (2pts) Describe two discoveries the Pythagoreans made (pages 90-100 skip math examples). Minimum 100 words.
3. (1pt) Describe Zeno’s paradox and what mathematical concept needs to be used to explain it (pages 101-102). Minimum 50 words.
4. (2pts) How did the discovery of incommensurable magnitudes produce a crisis in the development of mathematics? (pages 109-117 skip math examples) Minimum 100 words
5. (3pts) Three Construction Problems of Antiquity (Minimum 150 words) :
a. Describe each of three construction problems of antiquity and what instruments are allowed to use? (pages 120-121)
b. Who made progresses on theses problems (pages 122-127)?
c. Are these problems solved and what math subject was used (pages 122 and 126)?
6. (1pt) Describe Plato’s influence upon mathematics (pages 134-136). Minimum 50 words.
For resubmission, send me an e-mail. After I clear your submission, you will be able to resubmit.
Grading Rubrics:
(1). lose a half point for every two grammar or spelling mistakes.
(2). lose one point each day past the due day for any late submission.
(3). lose a half point for each 20 words less than the minimum.
(4). lose a half point for any key item that is not covered in your answer.
Here is the link to the book: https://jontalle.web.engr.illinois.edu/uploads/298/HistoryMath-Burton.85.pdf
