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

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

3. After Hippocrates, what shape did the Greeks attempt to square without success?
(a) Circle.
(b) Pentagon.
(c) Parallelogram.
(d) Hemisphere.

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

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

Short Answer Questions

1. Who was the first of ancient philosophers to consider why geometric properties existed?

2. What instruments did the Greeks use to square a shape?

3. What did Gauss set out to prove?

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

5. What is the name for determining the area of an enclosed space by constructing a square of equivalent area?

(see the answer key)

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