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

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

4. Who was the first of ancient philosophers to consider why geometric properties existed?
(a) Aristotle.
(b) Thales.
(c) Hippocrates.
(d) Pythagoras.

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

Short Answer Questions

1. How did Lindeman prove his conclusion?

2. What was Hippocrates's great advance to mathematics?

3. What did Ferdinand Lindeman prove in 1882?

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

5. Which of the following was NOT one of Gauss' discoveries?

(see the answer key)

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