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. What did Dunham discuss for many pages in this chapter?
(a) Heron's religious beliefs-
(b) Heron's origins of the universe.
(c) Heron's complicated proof.
(d) Heron's political tendancy.

2. How do we know about Hippocrates proofs and theorems?
(a) What is known from archived documents of his time.
(b) His books and publications.
(c) Mathematicians rewrote all of his proofs after his death,
(d) What we know is from references of later mathematicians.

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

4. Who was Eratosthanes?
(a) He was the first to study political sciences.
(b) He was the chief librarian, and a mathematician.
(c) He was a mathematician, and leading doctor.
(d) He was a teacher and philosopher.

5. 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.

Short Answer Questions

1. Which words best describe how solid proofs were developed in Elements?

2. What was most useful about finding the square of a shape, before Hippocrates?

3. Which of the following is true in modern math about twin primes?

4. Which of the following is an example of a perfect number?

5. Which city was the center of thinking and learning in Third century BC?

(see the answer key)

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