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. Which of the following is an example of a postulate that must be accepted in Elements?
(a) It is possible to draw a circle that contains no lines.
(b) It is possible to draw a straight line between an infinite number of points.
(c) It is possible to draw an arc with any three points.
(d) It is possible to connect any two points with a line and make a circle.

2. Where did Hippocrates come from?
(a) Rome.
(b) Chios.
(c) Constinople.
(d) Athens.

3. Which of the following was NOT one of the things Dunham claimed was ingenious about Euclid's proof of the Pythagorean theorem?
(a) Euclid used his own axioms and propositions to show relationships,
(b) Euclid stated that the diagonal hypotenuse of a right triangle is equal to the sums of the squares of the two legs.
(c) Euclid used propositions about similar angles and parallel lines.
(d) Euclid constructed squares on the sides of right triangles.

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

5. Who was the author of the book Elements?
(a) Einstein.
(b) Hippocrates.
(c) Lindemann.
(d) Euclid.

Short Answer Questions

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

2. What did Ferdinand Lindeman prove in 1882?

3. What does the Pythagorean Theorem state?

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

5. Which is one of the common notions presented in Elements?

(see the answer key)

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