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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 did Dunham claim about Archimedes's determination of a number value for pi?**
**(a)** Archimedes's number was not very accurate, considering the technology of his time. **(b)** Archimedes's number could have been better if he had understood Euclid's work better, **(c)** Archimedes's number was very good, considering he did not have a way to calculate square roots. **(d)** Archimedes's number was perfectly correct.

**2. Which is one of the common notions presented in Elements?**
**(a)** "Things with are equal have an inverse that is equal." **(b)** "Things which are equal to the same thing are also equal to each other." **(c)** "Points with equal values can be connected with a line of equal value." **(d)** "The inverse of a line makes a circle."

**3. Which of the following is false about the modern implications of Euclid's number theory?**
**(a)** Euclid's recipe for constructing even perfect numbers is incorrect. **(b)** Whether there are no odd perfect numbers is still not known. **(c)** Euclid gave a good idea for how to construct even perfect numbers. **(d)** Great mathematicians continue to puzzle over some aspects of Euclid's number theory.

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

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

## Short Answer Questions

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

**2.** What was Hippocrates famous for?

**3.** What did the Pythagorean Theorem accomplish for mathematics?

**4.** What provided most of the content in the book Elements?

**5.** What does the Pythagorean Theorem state?

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