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) Twenty.
(b) Fifteen.
(c) Ten.
(d) Five.

2. Which of the following was NOT one of the basic definitions in Elements?
(a) Parabola.
(b) Straight Line.
(c) Right angles.
(d) Line.

3. Where did Hippocrates come from?
(a) Chios.
(b) Constinople.
(c) Athens.
(d) Rome.

4. What does the Pythagorean Theorem state?
(a) For any right triangle the diagonal side is equal to the sum of the legs.
(b) For any right triangle the square of the diagonal side is equal to the sum of the squares of the two legs.
(c) For any triangle the sqaured sum of the legs is equal to half the hypotenuse.
(d) For any triangle the sum of the legs squared is equal to the length of the hypotenuse.

5. Which of the following is true in modern math about twin primes?
(a) They are infinite.
(b) They are not considered whole numbers.
(c) Their sum is always another prime number.
(d) We don't know if they are finite or infinite.

Short Answer Questions

1. According to Euclid, when is a triangle a right triangle?

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

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

4. What is the name for determining the area of an enclosed space by constructing a square of equivalent area?

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

(see the answer key)

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