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 Gauss set out to prove?
(a) That Euclid's postulate on straight lines was incorrect.
(b) That a right angle is always equal to 90 degrees.
(c) That a circle can have less than 360 degrees.
(d) That the sum of the angles in a triangle is 180 degrees.

2. In Elements, how many postulates must be accepted as given?
(a) Twelve,
(b) Twenty-two.
(c) Eighteen.
(d) Five.

3. What was most useful about finding the square of a shape, before Hippocrates?
(a) It was useful in creating simple elevation maps,
(b) It was useful in finding the area of circles.
(c) It was useful in determining the distance between two points.
(d) It was useful in finding the area of oddly shaped pieces of land.

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

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

Short Answer Questions

1. How do we know about Hippocrates proofs and theorems?

2. Which of the following becomes an important definition in mathematics that was first presented in Elements?

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

4. Where did Hippocrates come from?

5. That properties of specific shapes were early Egyptians aware of?

(see the answer key)

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