*BookRags*. (c)2015 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. Exactly what limit is reached at a quartic equation?**
**(a)** The limit of the decompressed cubic method. **(b)** The limit of algebra. **(c)** The limit of logical geometric proofs. **(d)** The limit of the Pythagorean Theorem.

**2. Which shapes as described by Euclid, inspired the Greek philosopher Plato?**
**(a)** Spheres and cones. **(b)** Regular polyhedrons. **(c)** Manifolds. **(d)** Triangles.

**3. What did Heron's advances put into historical perspective for Dunham?**
**(a)** A shift in information flow that ignored socioeconomic order. **(b)** A change in political theory across the globe. **(c)** A shift in learning across continents. **(d)** A change in learning foundations in the ancient scholarly universities.

**4. Numbers whose divisor add up to itself, was considered which type of number according to Euclid?**
**(a)** Even number. **(b)** Perfect number. **(c)** Composite number. **(d)** Nominal number.

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

## Short Answer Questions

**1.** Who's method did Tartaglia's challenger use in the contest to solve cubic equations?

**2.** Which of the following is false about the modern implications of Euclid's number theory?

**3.** Which of the following was one of Euclid's great theorems?

**4.** In Elements, how many postulates must be accepted as given?

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

## Short Essay Questions

**1.** What did Euclid state for his theory on prime numbers?

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

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

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

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

**6.** Explain what Neils Abel proved.

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

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

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

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

This section contains 921 words(approx. 4 pages at 300 words per page) |