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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. What was Hippocrates famous for?**
**(a)** His proof on right triangles. **(b)** His ability to construct circles without a compass. **(c)** His proof defining gravity. **(d)** His theorem on the quadrature of the lune.

**2. In general, what did Euclid's number theory describe?**
**(a)** The relationship of fractions to decimals. **(b)** The nature of whole numbers. **(c)** The nature of measuring geometry. **(d)** The relationship of decimals to integers.

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

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

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

## Short Answer Questions

**1.** What did Euclid do in his 48th proposition?

**2.** Which of the following becomes an important definition in mathematics that was first presented in Elements?

**3.** Which of the following were an example of twin primes?

**4.** What was Hippocrates's great advance to mathematics?

**5.** Who was the author of the book Elements?

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