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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. What was Hippocrates famous for?
(a) His ability to construct circles without a compass.
(b) His theorem on the quadrature of the lune.
(c) His proof on right triangles.
(d) His proof defining gravity.

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

3. In Elements, how many postulates must be accepted as given?
(a) Twelve,
(b) Five.
(c) Eighteen.
(d) Twenty-two.

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

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

Short Answer Questions

1. Who's method did Tartaglia's challenger use in the contest to solve cubic equations?

2. Which of the following was one of Euclid's great theorems?

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

4. According to Dunham, who was most able to collect knowledge from around the globe?

5. Who challenged Tartaglia to a contest to solve cubic equations?

Short Essay Questions

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

2. How did Heron find the area of a triangle, and what did Dunham state about Heron's work?

3. Describe Euclid's postulates and notions in how they were important in constructing his proofs.

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

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

6. Explain when the knowledge of ancient scholars was rediscovered.

7. What was Euclid's definition of composite and perfect numbers?

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

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

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

(see the answer keys)

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