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

**2. Which of the following was NOT defined by Euclid?**
**(a)** Nominal numbers. **(b)** Odd numbers. **(c)** Whole numbers. **(d)** Even numbers.

**3. As described by Dunham, what did Archimedes demonstrate first in his proof on pi?**
**(a)** Area of a circle is equal to that of a right triangle that has one leg equal to the circle's diameter and the other leg equal to the circle's circumference. **(b)** Area of a circle is equal to that of a right triangle that has one leg equal to the circle's hypotenuse and the other leg equal to the circle's circumference. **(c)** Area of a circle is equal to that of a right triangle that has one leg equal to the circle's radius and the other leg equal to the circle's circumference. **(d)** Area of a circle is equal to that of a right triangle that has one leg equal to the circle's radius and the other leg equal to the circle's diameter.

**4. What were the proofs in Elements based on?**
**(a)** Ancient greek geometry. **(b)** Novel notions. **(c)** Basic definitions. **(d)** Lindeman's method.

**5. What was Euclid's definition of a prime number?**
**(a)** Numbers which contain an infinite number of composite numbers. **(b)** Numbers which can only be divided by themselves and 1. **(c)** Numbers which are divisible by 2. **(d)** Numbers which do not, and can not, contain a perfect number.

## Short Answer Questions

**1.** Which of the following best describes Archimedes as discussed by Dunham?

**2.** Besides being a mathematician, what else other work was Archimedes famous for?

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

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

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

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