Journey Through Genius: The Great Theorems of Mathematics Quiz | Eight Week Quiz B

William Dunham (mathematician)
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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. Which shapes as described by Euclid, inspired the Greek philosopher Plato?
(a) Regular polyhedrons.
(b) Triangles.
(c) Manifolds.
(d) Spheres and cones.

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

3. Which of the following is an example of a postulate that must be accepted in Elements?
(a) It is possible to connect any two points with a line and make a circle.
(b) It is possible to draw a circle that contains no lines.
(c) It is possible to draw a straight line between an infinite number of points.
(d) It is possible to draw an arc with any three points.

4. Which is a geometric concept that humans have been aware of since the dawn of agriculture?
(a) Metric system.
(b) Area.
(c) Volume.
(d) Gravity.

5. What was Euclid's definition of a prime number?
(a) Numbers which can only be divided by themselves and 1.
(b) Numbers which are divisible by 2.
(c) Numbers which do not, and can not, contain a perfect number.
(d) Numbers which contain an infinite number of composite numbers.

Short Answer Questions

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

2. Which of the following was NOT one of the basic definitions in Elements?

3. How did Lindeman prove his conclusion?

4. What were the proofs in Elements based on?

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

(see the answer key)

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