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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. What do we know in modern times about Heron?**
**(a)** We know very little, but much of his work survives. **(b)** We know he lived in Rome. **(c)** We know he was a teacher and philosopher but much of his work has been lost. **(d)** We know he was an influencial scholar, but we don't know who his students were.

**2. What was the same about Apollonius and Erosthanes?**
**(a)** They both calculated the circumference of the earth. **(b)** They were both mathematicians. **(c)** They both studied the Universe. **(d)** They were both born in the same year.

**3. What was the title of Cardano's book which contained the solution to the cubic?**
**(a)** Tarsisia. **(b)** Ars Magna. **(c)** La Magnifica. **(d)** Elements.

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

**5. What did the Pythagorean Theorem accomplish for mathematics?**
**(a)** The ability to measure angles. **(b)** The concept of constructing useful mathematics. **(c)** The ability to find square roots. **(d)** The concept of providing a logical proof.

## Short Answer Questions

**1.** Who wrote a treatise that supposed that cubic equations may be impossible to solve?

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

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

**4.** What is a "depressed cubic"?

**5.** What was known about pi, during Archimedes' time?

## Short Essay Questions

**1.** Describe why Dunham infers that Euclid's Elements was an evolutionary book not so much for what it said, but in how it was presented.

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

**3.** Describe the events that follow del Ferro's death between Fior and Tartaglia.

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

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

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

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

**8.** What was already known about circles before Archimedes?

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

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

This section contains 875 words(approx. 3 pages at 300 words per page) |