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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. Who was the author of the book Elements?**
**(a)** Hippocrates. **(b)** Einstein. **(c)** Lindemann. **(d)** Euclid.

**2. What did Hippocrates do that advanced mathematical methods?**
**(a)** He created a new ways to disprove theories. **(b)** He proved that mathematics can be applied in a unlogical order. **(c)** He built theorems based on sequencially more complex proofs. **(d)** He demonstrated that geometry does not have to be based on previous knowledge.

**3. Who was the first of ancient philosophers to consider why geometric properties existed?**
**(a)** Thales. **(b)** Hippocrates. **(c)** Pythagoras. **(d)** Aristotle.

**4. What shape was NOT demonstrated in the Elements as having a relationship to other shapes?**
**(a)** Hexagon. **(b)** Pentagon. **(c)** Hyperbola. **(d)** Triangle.

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

## Short Answer Questions

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

**2.** How many definitions were stated in Elements?

**3.** Which of the following was NOT one of Gauss' discoveries?

**4.** Which of the following is an example of a perfect number?

**5.** Which of the following was NOT one of the things Dunham claimed was ingenious about Euclid's proof of the Pythagorean theorem?

This section contains 325 words(approx. 2 pages at 300 words per page) |