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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 true about Hippocrates's proof?
(a) It was fairly easy and simple.
(b) The proof was easy if their was advanced technology available.
(c) It was useful for circles.
(d) The proof was exceedingly difficult and not understood at the time.

2. How did Lindeman prove his conclusion?
(a) Lindeman proved that all numbers are constructable with a compass and ruler.
(b) Lindeman proved that some numbers are not constructable with only a compass and straight-edge.
(c) Lindeman proved that square roots are irrational numbers.
(d) Lindeman proved that some numbers are constructable without the use of a compass.

3. What was most useful about finding the square of a shape, before Hippocrates?
(a) It was useful in determining the distance between two points.
(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 finding the area of circles.

4. What does the Pythagorean Theorem state?
(a) For any triangle the sum of the legs squared is equal to the length of the hypotenuse.
(b) For any right triangle the square of the diagonal side is equal to the sum of the squares of the two legs.
(c) For any right triangle the diagonal side is equal to the sum of the legs.
(d) For any triangle the sqaured sum of the legs is equal to half the hypotenuse.

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

Short Answer Questions

1. What did Hippocrates do that advanced mathematical methods?

2. What was Hippocrates famous for?

3. What was the bases of Hippocrates's proof ?

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

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

(see the answer key)

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