*BookRags*. (c)2015 BookRags, Inc. All rights reserved.

Name: _________________________ | Period: ___________________ |

This quiz consists of 5 multiple choice and 5 short answer questions through Euclid and the Infinitude of Primes.

## Multiple Choice Questions

**1. "Straight lines in the same plane that will never meet if extended forever" is a definition of what?**
**(a)** Intersection. **(b)** Parallel lines. **(c)** Circle. **(d)** 180 degree angle.

**2. Which of the following was an important proposition given by Euclid's number theory?**
**(a)** Any even number is divisible by 3. **(b)** Numbers from one to ten are only divisible by composite numbers. **(c)** Any composite number is divisible by some prime number. **(d)** Any perfect number is divisible by some composite number.

**3. Which of the following was NOT defined by Euclid?**
**(a)** Whole numbers. **(b)** Nominal numbers. **(c)** Odd numbers. **(d)** Even numbers.

**4. Which of the following was NOT one of the basic definitions in Elements?**
**(a)** Line. **(b)** Straight Line. **(c)** Right angles. **(d)** Parabola.

**5. What was Euclid's definition of a prime number?**
**(a)** Numbers which contain an infinite number of composite numbers. **(b)** Numbers which do not, and can not, contain a perfect number. **(c)** Numbers which can only be divided by themselves and 1. **(d)** Numbers which are divisible by 2.

## Short Answer Questions

**1.** Which of the following could NOT be included as a step in Euclid's great theorem?

**2.** Which of the following is an example of a postulate that must be accepted in Elements?

**3.** Who was the first of ancient philosophers to consider why geometric properties existed?

**4.** What did Euclid do in his 48th proposition?

**5.** What was Hippocrates famous for?

This section contains 368 words(approx. 2 pages at 300 words per page) |