*BookRags*. (c)2016 BookRags, Inc. All rights reserved.

Name: _________________________ | Period: ___________________ |

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 consider extraordinary about the Elements?**
**(a)** The content was totally unique. **(b)** The content was not based on previous authors' work. **(c)** How geometric proofs were presented. **(d)** How Hippocrates ordered the book.

**2. Which of the following was NOT true about Archimedes, according to Dunham?**
**(a)** He died as a soldier. **(b)** He died during the fall of Syracuse. **(c)** Archimedes died because he refused to follow orders until he completed a math problem. **(d)** His death was described as being by the hands of a Roman invader.

**3. How do we know about Hippocrates proofs and theorems?**
**(a)** Mathematicians rewrote all of his proofs after his death, **(b)** His books and publications. **(c)** What we know is from references of later mathematicians. **(d)** What is known from archived documents of his time.

**4. Who was the author of the book Elements?**
**(a)** Lindemann. **(b)** Hippocrates. **(c)** Einstein. **(d)** Euclid.

**5. 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.

## Short Answer Questions

**1.** How many sides did the pentadecagon have, as presented by Euclid?

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

**3.** Which of the following is an example of a postulate that must be accepted in Elements?

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

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

This section contains 381 words(approx. 2 pages at 300 words per page) |