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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. Which of the following becomes an important definition in mathematics that was first presented in Elements?
(a) Intersection.
(b) Parallel line.
(c) 180 degree angle.
(d) Circle.

2. Where was Neil's Abel from?
(a) Ireland.
(b) Norway.
(c) Great Britian,
(d) Finland.

3. What else, besides a solution to cubic equations, was in Cardano's book?
(a) A proof of the Pythagorean Theorem.
(b) A solution to quartic equations.
(c) A suggested method to depress all complex geometry.
(d) An alegrabic solution to quintic equations,

4. Which words best describe how solid proofs were developed in Elements?
(a) Axiomatic framework.
(b) Simple arguments.
(c) Programmed order.
(d) Inverted scaffold.

5. What provided most of the content in the book Elements?
(a) Hypotheses.
(b) Notions.
(c) Postulates.
(d) Propositions.

Short Answer Questions

1. Which of the following was true about Cardano, according to Dunham?

2. Which of the following was NOT one of Gauss' discoveries?

3. Exactly what limit is reached at a quartic equation?

4. Which is a geometric concept that humans have been aware of since the dawn of agriculture?

5. Which of the following could NOT be included as a step in Euclid's great theorem?

Short Essay Questions

1. What did Dunham describe in the epilogue of the chapter?

2. Describe the ancient city Alexandria and name a few of its third century geniuses.

3. What was already known about circles before Archimedes?

4. Describe how Cardano eventually publishes the solution to cubic equations.

5. How did Archimedes find a number value for pi?

6. Explain what Neils Abel proved.

7. What did Euclid state for his theory on prime numbers?

8. Explain who was Gerolamo Cardano, and how did he become involved with the solution to the cubic.

9. Summarize, in a sentence, what was Hippocates's great theorem, and what was it based on according to Dunham?

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

(see the answer keys)

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