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

## Multiple Choice Questions

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

**2. Which of the following is an example of a perfect number?**
**(a)** 6. **(b)** 1. **(c)** 20. **(d)** 10.

**3. Which of the following was NOT one of Gauss' discoveries?**
**(a)** That there is no apparent contraction to the assumption that the sum of angles in a triangle can have fewer than 180 degrees. **(b)** That under Euclid's definition parallel lines can intersect. **(c)** "Non-euclidean" geometry. **(d)** That angles in a triangles can not add up to more than 180 degrees.

**4. Which of the following was one of Euclid's great theorems?**
**(a)** Prime numbers are more comples than discrete numbers. **(b)** There exists only infinite and whole numbers. **(c)** There exists an finite number of prime numbers. **(d)** There exists an infinite number of prime numbers.

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

## Short Answer Questions

**1.** What was Euclid's definition of a prime number?

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

**3.** Which words best describe how solid proofs were developed in Elements?

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

**5.** What did Dunham consider extraordinary about the Elements?

This section contains 358 words(approx. 2 pages at 300 words per page) |