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This quiz consists of 5 multiple choice and 5 short answer questions through Archimedes' Determination of Circular Area.

## Multiple Choice Questions

**1. How many definitions were stated in Elements?**
**(a)** Twenty-three. **(b)** Thirty. **(c)** Eighteen. **(d)** Five.

**2. Which of Euclid's postulates troubled many of the following generations of mathematicians?**
**(a)** Euclid's proof on right triangles. **(b)** Euclid's postulate on parallel lines. **(c)** Euclid's postulate on right triangles. **(d)** Euclid's postulate on creating an arc.

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

**4. Where did Hippocrates come from?**
**(a)** Athens. **(b)** Chios. **(c)** Constinople. **(d)** Rome.

**5. What is true about prime numbers?**
**(a)** Prime numbers can not exist in a finite series. **(b)** Prime numbers are not divisible by other numbers. **(c)** That for every group of prime numbers, there exists at least one more prime. **(d)** Prime numbers can never be an odd number.

## Short Answer Questions

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

**2.** How did Archimedes arrive at a number value for pi?

**3.** What did Gauss set out to prove?

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

**5.** Which of the following was one of Euclid's great theorems?

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