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This test consists of 5 multiple choice questions, 5 short answer questions, and 10 short essay questions.

Multiple Choice Questions

1. Who was Heron?
(a) A philosopher from Greece.
(b) A matematician from Alexanderia.
(c) A physician from the far East.
(d) A politician from Rome.

2. Which of the following was NOT defined by Euclid?
(a) Whole numbers.
(b) Even numbers.
(c) Nominal numbers.
(d) Odd numbers.

3. Besides being a mathematician, what else other work was Archimedes famous for?
(a) Inventor and scientist.
(b) Politician.
(c) Artist and musician.
(d) Doctor and writer,

4. Where was Archimedes born?
(a) Olympia.
(b) Rome.
(c) Athens.
(d) Sicily.

5. Which of Euclid's postulates troubled many of the following generations of mathematicians?
(a) Euclid's postulate on right triangles.
(b) Euclid's postulate on creating an arc.
(c) Euclid's proof on right triangles.
(d) Euclid's postulate on parallel lines.

Short Answer Questions

1. What did Dunham discuss for many pages in this chapter?

2. What did Euclid do in his 48th proposition?

3. Who was Eratosthanes?

4. Who wrote a treatise that supposed that cubic equations may be impossible to solve?

5. How did Archimedes arrive at a number value for pi?

Short Essay Questions

1. Explain who was Gerolamo Cardano, and how did he become involved with the solution to the cubic.

2. Why did Euclid's postulate on parallel lines trouble mathematicians for centuries?

3. What did Dunham describe in the epilogue of the chapter?

4. What was already known about circles before Archimedes?

5. Explain some puzzles suggested by Euclid's theories.

6. Explain in two sentences Euclid's method to prove the Pythagorean Theorem.

7. What did Dunham claim was Pythagoras's major contribution to geometry, and mathematical reasoning?

8. Summarize, in a sentence, what was Hippocates's great theorem, and what was it based on according to Dunham?

9. Explain when the knowledge of ancient scholars was rediscovered.

10. Describe who was Archimedes and how Dunham described his character.

(see the answer keys)

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