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

2. What provided most of the content in the book Elements?
(a) Propositions.
(b) Hypotheses.
(c) Notions.
(d) Postulates.

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

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

5. Which of the following becomes an important definition in mathematics that was first presented in Elements?
(a) Intersection.
(b) Parallel line.
(c) 180 degree angle.
(d) Circle.

Short Answer Questions

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

2. What were the proofs in Elements based on?

3. What did Gauss set out to prove?

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

5. How many definitions were stated in Elements?

(see the answer key)

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