Journey Through Genius: The Great Theorems of Mathematics Test | Mid-Book Test - Medium

William Dunham (mathematician)
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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 Eratosthanes most famous for?
(a) He showed that there are no even prime numbers.
(b) He showed that the Earth must be a sphere.
(c) He developed a way to navigate using logitude and latitude.
(d) He developed a simple way to find prime numbers and for determining the circumference of the Earth.

2. Which is a geometric concept that humans have been aware of since the dawn of agriculture?
(a) Volume.
(b) Gravity.
(c) Metric system.
(d) Area.

3. That properties of specific shapes were early Egyptians aware of?
(a) Pi and the diameter of a circle.
(b) Irregular solids.
(c) Parallelograms.
(d) Right triangles.

4. Who challenged Tartaglia to a contest to solve cubic equations?
(a) del Ferro.
(b) Cardano.
(c) Pacioli.
(d) Fior.

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

Short Answer Questions

1. What was Hippocrates's great advance to mathematics?

2. What did most of Heron's work deal with?

3. What did Plato use his inspiration from Euclid for?

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

5. Which of the following was NOT true about Archimedes, according to Dunham?

Short Essay Questions

1. According the Dunham, how did Euclid prove his theory on the infinitude of primes?

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

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

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

5. Describe who was Archimedes and how Dunham described his character.

6. Describe Lindeman's work on the square of a circle, and state what he discovered.

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

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

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

10. Why did Euclid's postulate on parallel lines trouble mathematicians for centuries?

(see the answer keys)

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