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

**2. That properties of specific shapes were early Egyptians aware of?**
**(a)** Right triangles. **(b)** Irregular solids. **(c)** Parallelograms. **(d)** Pi and the diameter of a circle.

**3. What did Ferdinand Lindeman prove in 1882?**
**(a)** It is impossible to find the square of a semicircle. **(b)** That the square root of the hypotenuse of a right triangle can not be found. **(c)** It is possible to find the square of a circle. **(d)** That the square of a circle can not be found with a compass and a straight-edge.

**4. What is the name for determining the area of an enclosed space by constructing a square of equivalent area?**
**(a)** Cubation. **(b)** Square root. **(c)** Quadrature. **(d)** Triangulation.

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

## Short Answer Questions

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

**2.** Numbers whose divisor add up to itself, was considered which type of number according to Euclid?

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

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

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

This section contains 339 words(approx. 2 pages at 300 words per page) |