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. What did Euclid do in his 48th proposition?
(a) Euclid demonstrated the faults of the Pythagorean Theorem.
(b) Euclid proved the converse of the Pythagorean Theorem.
(c) Euclid proved the Pythagorean Theorem.
(d) Euclid demonstrated how to use the Pythagorean Theorem.

2. What instruments did the Greeks use to square a shape?
(a) A pendulum.
(b) A compass and a ruled straight-edge.
(c) A small grid.
(d) A sphere and ruler.

3. What does the Pythagorean Theorem state?
(a) For any triangle the sqaured sum of the legs is equal to half the hypotenuse.
(b) For any right triangle the diagonal side is equal to the sum of the legs.
(c) For any right triangle the square of the diagonal side is equal to the sum of the squares of the two legs.
(d) For any triangle the sum of the legs squared is equal to the length of the hypotenuse.

4. Which words best describe how solid proofs were developed in Elements?
(a) Programmed order.
(b) Axiomatic framework.
(c) Inverted scaffold.
(d) Simple arguments.

5. What did Dunham consider extraordinary about the Elements?
(a) How geometric proofs were presented.
(b) The content was not based on previous authors' work.
(c) The content was totally unique.
(d) How Hippocrates ordered the book.

Short Answer Questions

1. After Hippocrates, what shape did the Greeks attempt to square without success?

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

3. Where did Hippocrates come from?

4. According to Euclid, when is a triangle a right triangle?

5. What were the proofs in Elements based on?

(see the answer key)

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