Journey Through Genius: The Great Theorems of Mathematics Quiz | Eight Week Quiz C

William Dunham (mathematician)
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This quiz consists of 5 multiple choice and 5 short answer questions through Heron's Formula for Triangular Area.

Multiple Choice Questions

1. 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 radius 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 radius and the other leg equal to the circle's diameter.
(c) 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.
(d) 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.

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

3. What did most of Heron's work deal with?
(a) Theoretical mathematics.
(b) Philosophical questions on the origins of the universe.
(c) Practical solutions to public problems.
(d) Practical mathematics applications.

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

5. When was the work of these early thinkers rediscovered again in history?
(a) In the 20th century.
(b) In the 18th century.
(c) In the Renaissance.
(d) In the Elizabethian age.

Short Answer Questions

1. Which of the following is true about pi, as described by Dunham.

2. Which is a geometric concept that humans have been aware of since the dawn of agriculture?

3. What instruments did the Greeks use to square a shape?

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

5. What was the same about Apollonius and Erosthanes?

(see the answer key)

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