Ch. 3 Q&A

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

 

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