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This quiz consists of 5 multiple choice and 5 short answer questions through The Bernoullis and the Harmonic Series.

## Multiple Choice Questions

**1. What range of values did Archimedes determine for pi?**
**(a)** Between 3 and 3 1/2. **(b)** Between 3 10/11 and 3 1/7. **(c)** Between 3 1/2 and 3 5/8. **(d)** Between 3 and 4.

**2. What is the name for determining the area of an enclosed space by constructing a square of equivalent area?**
**(a)** Triangulation. **(b)** Square root. **(c)** Quadrature. **(d)** Cubation.

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

**4. Which city was the center of thinking and learning in Third century BC?**
**(a)** Athens. **(b)** Rome. **(c)** Alexandria. **(d)** Olympia.

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

## Short Answer Questions

**1.** Where did Hippocrates come from?

**2.** To how many decimal places did Newton determine the number for pi?

**3.** Which of the following was NOT defined by Euclid?

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

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

This section contains 215 words(approx. 1 page at 300 words per page) |