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

## Multiple Choice Questions

**1. Which of the following best describes Cardano's character?**
**(a)** Religious. **(b)** Flirtacious. **(c)** Arrogant. **(d)** Eccentric.

**2. Who wrote a treatise that supposed that cubic equations may be impossible to solve?**
**(a)** Gerolamo Cardano. **(b)** Scipione del Ferro. **(c)** Niccolo Fontana. **(d)** Luca Pacioli.

**3. How many sides did the pentadecagon have, as presented by Euclid?**
**(a)** Fifteen. **(b)** Five. **(c)** Twenty. **(d)** Ten.

**4. Which of the following were an example of twin primes?**
**(a)** 2 and 6. **(b)** 19 and 22. **(c)** 11 and 13. **(d)** 15 and 16.

**5. Who acted as the gate keepers of knowledge?**
**(a)** Greek tradesman. **(b)** Arabian scholars. **(c)** Greek philosophers. **(d)** Roman emporers.

## Short Answer Questions

**1.** What did Archimedes manage to prove using Euclid's ideas?

**2.** Heron's work referred to the work of what other famous scholar?

**3.** What is the name for determining the area of an enclosed space by constructing a square of equivalent area?

**4.** Where was Archimedes born?

**5.** Which mathematician was first to take the challenge to solve cubic equations?

## Short Essay Questions

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

**2.** Describe what work of Euclid's fascinated Plato and his theory on the shape of the Universe.

**3.** What did Dunham explain about the shift in learning from the West to the East?

**4.** Who was Luca Pacioli, and what controversy was sparked over his writings?

**5.** Describe what the Egyptians knew about geometry and triangles before Hippocrates.

**6.** Describe the contents of Cardano's book.

**7.** Describe Lindeman's work on the square of a circle, and state what he discovered.

**8.** Describe in two sentences Archimedes's method for determining circular area.

**9.** What did Dunham claim was Pythagoras's major contribution to geometry, and mathematical reasoning?

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

This section contains 838 words(approx. 3 pages at 300 words per page) |