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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. "Straight lines in the same plane that will never meet if extended forever" is a definition of what?
(a) Parallel lines.
(b) Circle.
(c) 180 degree angle.
(d) Intersection.

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

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

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

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

Short Answer Questions

1. How did Lindeman prove his conclusion?

2. Where did Hippocrates come from?

3. In Elements, how many postulates must be accepted as given?

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

5. What did Ferdinand Lindeman prove in 1882?

(see the answer key)

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