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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 were the proofs in Elements based on?
(a) Ancient greek geometry.
(b) Novel notions.
(c) Basic definitions.
(d) Lindeman's method.

2. Which is one of the common notions presented in Elements?
(a) "Points with equal values can be connected with a line of equal value."
(b) "Things with are equal have an inverse that is equal."
(c) "Things which are equal to the same thing are also equal to each other."
(d) "The inverse of a line makes a circle."

3. Which of the following was NOT one of the basic definitions in Elements?
(a) Right angles.
(b) Straight Line.
(c) Line.
(d) Parabola.

4. 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 creating simple elevation maps,
(c) It was useful in finding the area of oddly shaped pieces of land.
(d) It was useful in determining the distance between two points.

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

Short Answer Questions

1. After Hippocrates, what shape did the Greeks attempt to square without success?

2. What did Euclid do in his 48th proposition?

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

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

5. Which words best describe how solid proofs were developed in Elements?

(see the answer key)

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