Journey Through Genius: The Great Theorems of Mathematics Quiz | Eight Week Quiz B

William Dunham (mathematician)
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This quiz consists of 5 multiple choice and 5 short answer questions through Euclid and the Infinitude of Primes.

Multiple Choice Questions

1. How many sides did the pentadecagon have, as presented by Euclid?
(a) Five.
(b) Fifteen.
(c) Twenty.
(d) Ten.

2. What did Dunham consider extraordinary about the Elements?
(a) The content was totally unique.
(b) How geometric proofs were presented.
(c) How Hippocrates ordered the book.
(d) The content was not based on previous authors' work.

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

4. What was Hippocrates's great advance to mathematics?
(a) He showed how to square a figure with curved sides.
(b) He showed how to simplify the area of a triangle.
(c) He showed how to find the angles in a right triangle.
(d) He showed how to square a circle.

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

Short Answer Questions

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

2. What shape was NOT demonstrated in the Elements as having a relationship to other shapes?

3. Who was the author of the book Elements?

4. Which was true of Euclid's number theory?

5. In Elements, how many postulates must be accepted as given?

(see the answer key)

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