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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. What was Hippocrates's great advance to mathematics?
(a) He showed how to square a figure with curved sides.
(b) He showed how to square a circle.
(c) He showed how to simplify the area of a triangle.
(d) He showed how to find the angles in a right triangle.

2. What did Gauss set out to prove?
(a) That the sum of the angles in a triangle is 180 degrees.
(b) That a right angle is always equal to 90 degrees.
(c) That Euclid's postulate on straight lines was incorrect.
(d) That a circle can have less than 360 degrees.

3. Which of the following was NOT one of Gauss' discoveries?
(a) That under Euclid's definition parallel lines can intersect.
(b) "Non-euclidean" geometry.
(c) That there is no apparent contraction to the assumption that the sum of angles in a triangle can have fewer than 180 degrees.
(d) That angles in a triangles can not add up to more than 180 degrees.

4. What is the name for determining the area of an enclosed space by constructing a square of equivalent area?
(a) Square root.
(b) Triangulation.
(c) Quadrature.
(d) Cubation.

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

Short Answer Questions

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

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

3. In general, what did Euclid's number theory describe?

4. How did Lindeman prove his conclusion?

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

(see the answer key)

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