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This quiz consists of 5 multiple choice and 5 short answer questions through Archimedes' Determination of Circular Area.

Multiple Choice Questions

1. Besides being a mathematician, what else other work was Archimedes famous for?
(a) Doctor and writer,
(b) Inventor and scientist.
(c) Politician.
(d) Artist and musician.

2. Which of the following best describes Archimedes as discussed by Dunham?
(a) Creative but stubborn.
(b) Mild-mannered researcher.
(c) Loud and arrogant.
(d) Absent-minded genius.

3. "Straight lines in the same plane that will never meet if extended forever" is a definition of what?
(a) 180 degree angle.
(b) Parallel lines.
(c) Circle.
(d) Intersection.

4. Where was Archimedes born?
(a) Olympia.
(b) Rome.
(c) Sicily.
(d) Athens.

5. What did Dunham consider extraordinary about the Elements?
(a) How Hippocrates ordered the book.
(b) The content was totally unique.
(c) How geometric proofs were presented.
(d) The content was not based on previous authors' work.

Short Answer Questions

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

2. What does the Pythagorean Theorem state?

3. What did Dunham claim about Archimedes's determination of a number value for pi?

4. How did Lindeman prove his conclusion?

5. Which of the following is true about pi, as described by Dunham.

(see the answer key)

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