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Name: _________________________ | Period: ___________________ |

This test consists of 5 multiple choice questions, 5 short answer questions, and 10 short essay questions.

## Multiple Choice Questions

**1. What was known about pi, during Archimedes' time?**
**(a)** That it was never the same number value for a given circle. **(b)** That it could not be assigned a relationship between measurements in a circle. **(c)** That is was the relationship between the diameter and circumference of a circle. **(d)** Nothing, the concept of pi was unknown.

**2. According to Dunham, who was most able to collect knowledge from around the globe?**
**(a)** Arabian scholars. **(b)** Greek philosophers. **(c)** Greek tradesman. **(d)** Roman emporers.

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

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

**5. Which of the following can not be solved using algebra?**
**(a)** Quintic equation. **(b)** Triangulation. **(c)** Geometric equation. **(d)** Quadratic equation.

## Short Answer Questions

**1.** Who challenged Tartaglia to a contest to solve cubic equations?

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

**3.** What did Dunham discuss for many pages in this chapter?

**4.** Which of the following is INCORRECT, and not used in Archimedes proof of his theory?

**5.** What was Eratosthanes most famous for?

## Short Essay Questions

**1.** Describe who was Archimedes and how Dunham described his character.

**2.** Describe the ancient city Alexandria and name a few of its third century geniuses.

**3.** Why did Euclid's postulate on parallel lines trouble mathematicians for centuries?

**4.** Explain what Archimedes went on to study after the circle, and what was Dunham's opinion of this work.

**5.** Summarize, in a sentence, what was Hippocates's great theorem, and what was it based on according to Dunham?

**6.** How did Heron find the area of a triangle, and what did Dunham state about Heron's work?

**7.** Describe what is quadrature and why it was useful in the time of Hippocrates.

**8.** Explain who was Gerolamo Cardano, and how did he become involved with the solution to the cubic.

**9.** Explain some puzzles suggested by Euclid's theories.

**10.** Explain why Archimedes finding a number value for pi was considered a great achievement according to Dunham.

This section contains 1,009 words(approx. 4 pages at 300 words per page) |