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 true about Hippocrates's proof?
(a) The proof was easy if their was advanced technology available.
(b) It was fairly easy and simple.
(c) It was useful for circles.
(d) The proof was exceedingly difficult and not understood at the time.

2. What is true about prime numbers?
(a) Prime numbers can not exist in a finite series.
(b) Prime numbers can never be an odd number.
(c) That for every group of prime numbers, there exists at least one more prime.
(d) Prime numbers are not divisible by other numbers.

3. What did Euclid do in his 48th proposition?
(a) Euclid proved the converse of the Pythagorean Theorem.
(b) Euclid proved the Pythagorean Theorem.
(c) Euclid demonstrated the faults of the Pythagorean Theorem.
(d) Euclid demonstrated how to use the Pythagorean Theorem.

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

5. What name did Euclid give for numbers that could be divided by numbers other than themselves and one?
(a) Discrete numbers.
(b) Perfect numbers.
(c) Composite numbers.
(d) Even numbers.

Short Answer Questions

1. Which of the following is an example of a postulate that must be accepted in Elements?

2. Numbers whose divisor add up to itself, was considered which type of number according to Euclid?

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

4. What did the Pythagorean Theorem accomplish for mathematics?

5. What did Dunham consider extraordinary about the Elements?

(see the answer key)

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