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

William Dunham (mathematician)
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This quiz consists of 5 multiple choice and 5 short answer questions through Euclid's Proof of the Pythagorean Theorem.

Multiple Choice Questions

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

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

3. What was the bases of Hippocrates's proof ?
(a) Properties of area to volume measurements.
(b) Properties of squares and cubes.
(c) Properties of triangles and semicircles.
(d) Properties of points and lines.

4. Which is one of the common notions presented in Elements?
(a) "Things which are equal to the same thing are also equal to each other."
(b) "Points with equal values can be connected with a line of equal value."
(c) "The inverse of a line makes a circle."
(d) "Things with are equal have an inverse that is equal."

5. How many definitions were stated in Elements?
(a) Thirty.
(b) Five.
(c) Twenty-three.
(d) Eighteen.

Short Answer Questions

1. Where did Hippocrates come from?

2. Which of Euclid's postulates troubled many of the following generations of mathematicians?

3. What does the Pythagorean Theorem state?

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

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

(see the answer key)

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