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

2. In general, what did Euclid's number theory describe?
(a) The relationship of fractions to decimals.
(b) The nature of whole numbers.
(c) The nature of measuring geometry.
(d) The relationship of decimals to integers.

3. Who was the first of ancient philosophers to consider why geometric properties existed?
(a) Pythagoras.
(b) Aristotle.
(c) Thales.
(d) Hippocrates.

4. Which shapes as described by Euclid, inspired the Greek philosopher Plato?
(a) Triangles.
(b) Spheres and cones.
(c) Manifolds.
(d) Regular polyhedrons.

5. Which of the following was an important proposition given by Euclid's number theory?
(a) Any composite number is divisible by some prime number.
(b) Any perfect number is divisible by some composite number.
(c) Numbers from one to ten are only divisible by composite numbers.
(d) Any even number is divisible by 3.

Short Answer Questions

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

2. Which of the following becomes an important definition in mathematics that was first presented in Elements?

3. Which of the following were an example of twin primes?

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

5. Who was the author of the book Elements?

(see the answer key)

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