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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. What was Eratosthanes most famous for?**
**(a)** He showed that there are no even prime numbers. **(b)** He showed that the Earth must be a sphere. **(c)** He developed a way to navigate using logitude and latitude. **(d)** He developed a simple way to find prime numbers and for determining the circumference of the Earth.

**2. Which is a geometric concept that humans have been aware of since the dawn of agriculture?**
**(a)** Volume. **(b)** Gravity. **(c)** Metric system. **(d)** Area.

**3. That properties of specific shapes were early Egyptians aware of?**
**(a)** Pi and the diameter of a circle. **(b)** Irregular solids. **(c)** Parallelograms. **(d)** Right triangles.

**4. Who challenged Tartaglia to a contest to solve cubic equations?**
**(a)** del Ferro. **(b)** Cardano. **(c)** Pacioli. **(d)** Fior.

**5. What did Dunham discuss for many pages in this chapter?**
**(a)** Heron's religious beliefs- **(b)** Heron's political tendancy. **(c)** Heron's origins of the universe. **(d)** Heron's complicated proof.

## Short Answer Questions

**1.** What was Hippocrates's great advance to mathematics?

**2.** What did most of Heron's work deal with?

**3.** What did Plato use his inspiration from Euclid for?

**4.** Which of the following was an important proposition given by Euclid's number theory?

**5.** Which of the following was NOT true about Archimedes, according to Dunham?

## Short Essay Questions

**1.** According the Dunham, how did Euclid prove his theory on the infinitude of primes?

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

**3.** Describe how Cardano eventually publishes the solution to cubic equations.

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

**5.** Describe who was Archimedes and how Dunham described his character.

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

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

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

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

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

This section contains 935 words(approx. 4 pages at 300 words per page) |