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. Which of the following was NOT defined by Euclid?
(a) Odd numbers.
(b) Even numbers.
(c) Nominal numbers.
(d) Whole numbers.

2. Who was the author of the book Elements?
(a) Hippocrates.
(b) Einstein.
(c) Euclid.
(d) Lindemann.

3. How did Lindeman prove his conclusion?
(a) Lindeman proved that square roots are irrational numbers.
(b) Lindeman proved that all numbers are constructable with a compass and ruler.
(c) Lindeman proved that some numbers are constructable without the use of a compass.
(d) Lindeman proved that some numbers are not constructable with only a compass and straight-edge.

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

5. What was Euclid's definition of a prime number?
(a) Numbers which are divisible by 2.
(b) Numbers which can only be divided by themselves and 1.
(c) Numbers which do not, and can not, contain a perfect number.
(d) Numbers which contain an infinite number of composite numbers.

Short Answer Questions

1. What does the Pythagorean Theorem state?

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

3. Where did Hippocrates come from?

4. Which is one of the common notions presented in Elements?

5. How many sides did the pentadecagon have, as presented by Euclid?

(see the answer key)

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