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

Name: _________________________ | Period: ___________________ |

This quiz consists of 5 multiple choice and 5 short answer questions through Heron's Formula for Triangular Area.

## Multiple Choice Questions

**1. What did Dunham discuss for many pages in this chapter?**
**(a)** Heron's religious beliefs- **(b)** Heron's origins of the universe. **(c)** Heron's complicated proof. **(d)** Heron's political tendancy.

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

**3. Who was the first of ancient philosophers to consider why geometric properties existed?**
**(a)** Hippocrates. **(b)** Aristotle. **(c)** Pythagoras. **(d)** Thales.

**4. Who was Eratosthanes?**
**(a)** He was the first to study political sciences. **(b)** He was the chief librarian, and a mathematician. **(c)** He was a mathematician, and leading doctor. **(d)** He was a teacher and philosopher.

**5. 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 radius 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 radius and the other leg equal to the circle's diameter. **(c)** 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. **(d)** 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.

## Short Answer Questions

**1.** Which words best describe how solid proofs were developed in Elements?

**2.** What was most useful about finding the square of a shape, before Hippocrates?

**3.** Which of the following is true in modern math about twin primes?

**4.** Which of the following is an example of a perfect number?

**5.** Which city was the center of thinking and learning in Third century BC?

This section contains 384 words(approx. 2 pages at 300 words per page) |