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This quiz consists of 5 multiple choice and 5 short answer questions through Euclid and the Infinitude of Primes.

Multiple Choice Questions

1. How many sides did the pentadecagon have, as presented by Euclid?
(a) Fifteen.
(b) Five.
(c) Ten.
(d) Twenty.

2. 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 determining the distance between two points.
(d) It was useful in creating simple elevation maps,

3. What was the bases of Hippocrates's proof ?
(a) Properties of squares and cubes.
(b) Properties of triangles and semicircles.
(c) Properties of area to volume measurements.
(d) Properties of points and lines.

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

5. What was Hippocrates famous for?
(a) His proof defining gravity.
(b) His proof on right triangles.
(c) His theorem on the quadrature of the lune.
(d) His ability to construct circles without a compass.

Short Answer Questions

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

2. How many definitions were stated in Elements?

3. Which of the following was an important proposition given by Euclid's number theory?

4. What were the proofs in Elements based on?

5. Which of the following were an example of twin primes?

(see the answer key)

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