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This quiz consists of 5 multiple choice and 5 short answer questions through Cardano and the Solution of the Cubic.

Multiple Choice Questions

1. What did Dunham consider as Archimedes's "masterpiece"?
(a) Archimedes' work on determining a number value for pi.
(b) Archimedes' work on shperes, cones, and cylinders.
(c) Archimedes' work on determining angular measurements.
(d) Archimedes' work on volume to surface area ratios.

2. What did Dunham discuss for many pages in this chapter?
(a) Heron's political tendancy.
(b) Heron's religious beliefs-
(c) Heron's complicated proof.
(d) Heron's origins of the universe.

3. Why did Cardano take an oath to secrecy?
(a) It was to the only way to win the contest with Fior,
(b) It was the only way he could become a priest,
(c) It was the only way to get his book published.
(d) It was the only way to get Tartaglia's solution to cubic equations.

4. Who wrote a treatise that supposed that cubic equations may be impossible to solve?
(a) Scipione del Ferro.
(b) Niccolo Fontana.
(c) Luca Pacioli.
(d) Gerolamo Cardano.

5. Which of the following were an example of twin primes?
(a) 19 and 22.
(b) 2 and 6.
(c) 15 and 16.
(d) 11 and 13.

Short Answer Questions

1. What did Euclid do in his 48th proposition?

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

3. Which of the following was NOT one of the basic definitions in Elements?

4. What else, besides a solution to cubic equations, was in Cardano's book?

5. "Straight lines in the same plane that will never meet if extended forever" is a definition of what?

(see the answer key)

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