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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. What did Euclid state about pi in Elements?**
**(a)** There is no relationship between the area of a circle and its circumference. **(b)** The proportion of diameter to area is never equal. **(c)** The proportion of area to circumference is never equal. **(d)** There is a constant relationship between the area of a circle and the square of its diameter.

**2. What name did Euclid give for numbers that could be divided by numbers other than themselves and one?**
**(a)** Even numbers. **(b)** Discrete numbers. **(c)** Perfect numbers. **(d)** Composite numbers.

**3. Which city was the center of thinking and learning in Third century BC?**
**(a)** Alexandria. **(b)** Olympia. **(c)** Athens. **(d)** Rome.

**4. Where did Hippocrates come from?**
**(a)** Chios. **(b)** Athens. **(c)** Rome. **(d)** Constinople.

**5. What allowed Cardano to justify publishing his book?**
**(a)** He was dead, and the book was really published by his student. **(b)** He was punished as a heretic, **(c)** He found Fior's documents which spoke against Tartaglia. **(d)** He found del Ferro's orgininal solution to the cubic.

## Short Answer Questions

**1.** Where was Archimedes born?

**2.** After working on pi, what did Archimedes continue with in his study of mathematics?

**3.** Why did Cardano take an oath to secrecy?

**4.** Which of the following is true in modern math about twin primes?

**5.** What was true about Heron's theorem as described by Dunham?

## Short Essay Questions

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

**2.** Describe what Gauss discovered according to Dunham.

**3.** Describe what is quadrature and why it was useful in the time of Hippocrates.

**4.** Describe the ancient city Alexandria and name a few of its third century geniuses.

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

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

**7.** Describe what work of Euclid's fascinated Plato and his theory on the shape of the Universe.

**8.** What did Dunham describe in the epilogue of the chapter?

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

**10.** Describe Lindeman's work on the square of a circle, and state what he discovered.

This section contains 941 words(approx. 4 pages at 300 words per page) |