*BookRags*. (c)2017 BookRags, Inc. All rights reserved.

Name: _________________________ | Period: ___________________ |

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

## Multiple Choice Questions

**1. What range of values did Archimedes determine for pi?**
**(a)** Between 3 10/11 and 3 1/7. **(b)** Between 3 and 4. **(c)** Between 3 1/2 and 3 5/8. **(d)** Between 3 and 3 1/2.

**2. After Hippocrates, what shape did the Greeks attempt to square without success?**
**(a)** Pentagon. **(b)** Parallelogram. **(c)** Hemisphere. **(d)** Circle.

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

**4. What was Hippocrates's great advance to mathematics?**
**(a)** He showed how to find the angles in a right triangle. **(b)** He showed how to square a circle. **(c)** He showed how to square a figure with curved sides. **(d)** He showed how to simplify the area of a triangle.

**5. What provided most of the content in the book Elements?**
**(a)** Postulates. **(b)** Hypotheses. **(c)** Notions. **(d)** Propositions.

## Short Answer Questions

**1.** What name did Euclid give for numbers that could be divided by numbers other than themselves and one?

**2.** Who was Eratosthanes?

**3.** What did Apollonius work with in mathematics?

**4.** What did Dunham consider as Archimedes's "masterpiece"?

**5.** Besides being a mathematician, what else other work was Archimedes famous for?

## Short Essay Questions

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

**2.** How did Heron find the area of a triangle, and what did Dunham state about Heron's work?

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

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

**5.** Explain what Neils Abel proved.

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

**7.** Describe the contents of Cardano's book.

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

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

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

This section contains 832 words(approx. 3 pages at 300 words per page) |