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Name: _________________________ | Period: ___________________ |

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

## Multiple Choice Questions

**1. Who acted as the gate keepers of knowledge?**
**(a)** Roman emporers. **(b)** Arabian scholars. **(c)** Greek philosophers. **(d)** Greek tradesman.

**2. According to Dunham, who was most able to collect knowledge from around the globe?**
**(a)** Greek tradesman. **(b)** Greek philosophers. **(c)** Roman emporers. **(d)** Arabian scholars.

**3. Which of the following was one of Euclid's great theorems?**
**(a)** There exists an finite number of prime numbers. **(b)** Prime numbers are more comples than discrete numbers. **(c)** There exists an infinite number of prime numbers. **(d)** There exists only infinite and whole numbers.

**4. In what time period did mathematicians find a solution to cubic equations?**
**(a)** Thirteenth century. **(b)** Twentieth century. **(c)** Seventeeth century. **(d)** Fifteen century.

**5. Which mathematician was first to take the challenge to solve cubic equations?**
**(a)** Tartaglia. **(b)** Scipione del Ferro. **(c)** Niccolo Fontana. **(d)** Luca Pacioli.

## Short Answer Questions

**1.** When was the work of these early thinkers rediscovered again in history?

**2.** What shape was NOT demonstrated in the Elements as having a relationship to other shapes?

**3.** What is a "depressed cubic"?

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

**5.** What was Euclid's definition of a prime number?

## Short Essay Questions

**1.** Explain who was Hippocrates, his contribution to mathematics, and how do we know about him?

**2.** Describe what the Egyptians knew about geometry and triangles before Hippocrates.

**3.** Describe some of Gauss's work.

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

**5.** Describe who were Jakob and Johann Bernoulli.

**6.** How did Archimedes find a number value for pi?

**7.** Describe what the Bernoullis discovered about series, and give an example.

**8.** What was Euclid's definition of composite and perfect numbers?

**9.** Describe Cantor's difficult personal life.

**10.** Who was Heron, and what is known about him today?

This section contains 773 words(approx. 3 pages at 300 words per page) |