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

**2. Which of the following is true in modern math about twin primes?**
**(a)** We don't know if they are finite or infinite. **(b)** They are not considered whole numbers. **(c)** Their sum is always another prime number. **(d)** They are infinite.

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

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

**5. Which was true of Euclid's number theory?**
**(a)** It was incorrect, as proved by Plato. **(b)** It was proven to the true by Hippocrates. **(c)** It has been proven too basic to be useful. **(d)** It has an impact on modern math.

## Short Answer Questions

**1.** Which shapes as described by Euclid, inspired the Greek philosopher Plato?

**2.** What is the name for determining the area of an enclosed space by constructing a square of equivalent area?

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

**4.** What did Hippocrates do that advanced mathematical methods?

**5.** After Hippocrates, what shape did the Greeks attempt to square without success?

This section contains 342 words(approx. 2 pages at 300 words per page) |