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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 did the Pythagorean Theorem accomplish for mathematics?
(a) The ability to find square roots.
(b) The ability to measure angles.
(c) The concept of providing a logical proof.
(d) The concept of constructing useful mathematics.

2. 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.

3. Which of the following was NOT one of the things Dunham claimed was ingenious about Euclid's proof of the Pythagorean theorem?
(a) Euclid used his own axioms and propositions to show relationships,
(b) Euclid used propositions about similar angles and parallel lines.
(c) Euclid stated that the diagonal hypotenuse of a right triangle is equal to the sums of the squares of the two legs.
(d) Euclid constructed squares on the sides of right triangles.

4. Which of the following was one of Euclid's great theorems?
(a) Prime numbers are more comples than discrete numbers.
(b) There exists only infinite and whole numbers.
(c) There exists an finite number of prime numbers.
(d) There exists an infinite number of prime numbers.

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

Short Answer Questions

1. What did Dunham consider extraordinary about the Elements?

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

3. What provided most of the content in the book Elements?

4. That properties of specific shapes were early Egyptians aware of?

5. Where did Hippocrates come from?

(see the answer key)

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