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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 defined by Euclid?**
**(a)** Odd numbers. **(b)** Even numbers. **(c)** Nominal numbers. **(d)** Whole numbers.

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

**3. How did Lindeman prove his conclusion?**
**(a)** Lindeman proved that square roots are irrational numbers. **(b)** Lindeman proved that all numbers are constructable with a compass and ruler. **(c)** Lindeman proved that some numbers are constructable without the use of a compass. **(d)** Lindeman proved that some numbers are not constructable with only a compass and straight-edge.

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

**5. What was Euclid's definition of a prime number?**
**(a)** Numbers which are divisible by 2. **(b)** Numbers which can only be divided by themselves and 1. **(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.** What does the Pythagorean Theorem state?

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

**3.** Where did Hippocrates come from?

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

**5.** How many sides did the pentadecagon have, as presented by Euclid?

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