*BookRags*. (c)2018 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. Which shapes as described by Euclid, inspired the Greek philosopher Plato?**
**(a)** Regular polyhedrons. **(b)** Triangles. **(c)** Manifolds. **(d)** Spheres and cones.

**2. What instruments did the Greeks use to square a shape?**
**(a)** A pendulum. **(b)** A compass and a ruled straight-edge. **(c)** A sphere and ruler. **(d)** A small grid.

**3. Which of the following is an example of a postulate that must be accepted in Elements?**
**(a)** It is possible to connect any two points with a line and make a circle. **(b)** It is possible to draw a circle that contains no lines. **(c)** It is possible to draw a straight line between an infinite number of points. **(d)** It is possible to draw an arc with any three points.

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

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

## Short Answer Questions

**1.** Which is one of the common notions presented in Elements?

**2.** Which of the following was NOT one of the basic definitions in Elements?

**3.** How did Lindeman prove his conclusion?

**4.** What were the proofs in Elements based on?

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

This section contains 334 words(approx. 2 pages at 300 words per page) |