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This quiz consists of 5 multiple choice and 5 short answer questions through A Gem from Isaac Newton.

Multiple Choice Questions

1. Which of the following was NOT true about Archimedes, according to Dunham?
(a) His death was described as being by the hands of a Roman invader.
(b) He died as a soldier.
(c) Archimedes died because he refused to follow orders until he completed a math problem.
(d) He died during the fall of Syracuse.

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

3. After working on pi, what did Archimedes continue with in his study of mathematics?
(a) He studied the volume to surface area ratios of cubes.
(b) He studied the volume and surface area of spheres, cones, and cylinders.
(c) He studied the relationship between ratios in triangles.
(d) He studied the relationship of sine to cosine.

4. Exactly what limit is reached at a quartic equation?
(a) The limit of the Pythagorean Theorem.
(b) The limit of the decompressed cubic method.
(c) The limit of logical geometric proofs.
(d) The limit of algebra.

5. To how many decimal places did Newton determine the number for pi?
(a) Nine places.
(b) Three places.
(c) Eight places.
(d) Twelve places.

Short Answer Questions

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

2. How many definitions were stated in Elements?

3. Which of the following best describes Archimedes as discussed by Dunham?

4. What did Gauss set out to prove?

5. Which of the following was NOT a field in which Isaac Newton made enormous advances?

(see the answer key)

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