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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 of the following was NOT defined by Euclid?
(a) Odd numbers.
(b) Whole numbers.
(c) Nominal numbers.
(d) Even numbers.

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

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

4. 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.

5. "Straight lines in the same plane that will never meet if extended forever" is a definition of what?
(a) Circle.
(b) 180 degree angle.
(c) Intersection.
(d) Parallel lines.

Short Answer Questions

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

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

3. Which shapes as described by Euclid, inspired the Greek philosopher Plato?

4. Which of the following becomes an important definition in mathematics that was first presented in Elements?

5. Which of the following was NOT one of the things Dunham claimed was ingenious about Euclid's proof of the Pythagorean theorem?

(see the answer key)

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