Journey Through Genius: The Great Theorems of Mathematics Quiz | Four Week Quiz A

William Dunham (mathematician)
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This quiz consists of 5 multiple choice and 5 short answer questions through Archimedes' Determination of Circular Area.

Multiple Choice Questions

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

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

3. As described by Dunham, what did Archimedes demonstrate first in his proof on pi?
(a) Area of a circle is equal to that of a right triangle that has one leg equal to the circle's diameter and the other leg equal to the circle's circumference.
(b) Area of a circle is equal to that of a right triangle that has one leg equal to the circle's hypotenuse and the other leg equal to the circle's circumference.
(c) Area of a circle is equal to that of a right triangle that has one leg equal to the circle's radius and the other leg equal to the circle's circumference.
(d) Area of a circle is equal to that of a right triangle that has one leg equal to the circle's radius and the other leg equal to the circle's diameter.

4. What were the proofs in Elements based on?
(a) Ancient greek geometry.
(b) Novel notions.
(c) Basic definitions.
(d) Lindeman's method.

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

Short Answer Questions

1. Which of the following best describes Archimedes as discussed by Dunham?

2. Besides being a mathematician, what else other work was Archimedes famous for?

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

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

5. How did Archimedes arrive at a number value for pi?

(see the answer key)

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