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

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

3. What great theorem is presented by Dunham in this chapter?
(a) An improvement on Leibniz's caluclus as presented by Jakob Bernoulli.
(b) A theorem on series developed by Jakob and published by Johann Bernoulli.
(c) A theorem on infinite series published by Jakob Bernoulli.
(d) A theorem on finite series developed by Johann Bernoulli.

4. What shape was NOT demonstrated in the Elements as having a relationship to other shapes?
(a) Hexagon.
(b) Triangle.
(c) Pentagon.
(d) Hyperbola.

5. What did Dunham claim about Archimedes's determination of a number value for pi?
(a) Archimedes's number could have been better if he had understood Euclid's work better,
(b) Archimedes's number was not very accurate, considering the technology of his time.
(c) Archimedes's number was very good, considering he did not have a way to calculate square roots.
(d) Archimedes's number was perfectly correct.

Short Answer Questions

1. Which of the following was an important proposition given by Euclid's number theory?

2. Who was del Ferro's student?

3. What was the bases of Hippocrates's proof ?

4. Who eventually solved the sum of the successive squared denominator series?

5. What was Euclid's definition of a prime number?

(see the answer key)

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