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

2. What did Euclid do in his 48th proposition?
(a) Euclid proved the converse of the Pythagorean Theorem.
(b) Euclid demonstrated how to use the Pythagorean Theorem.
(c) Euclid proved the Pythagorean Theorem.
(d) Euclid demonstrated the faults of the Pythagorean Theorem.

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

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

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

Short Answer Questions

1. Who was the author of the book Elements?

2. Which is one of the common notions presented in Elements?

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

4. What did Dunham consider extraordinary about the Elements?

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

(see the answer key)

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