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

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

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

**4. After Hippocrates, what shape did the Greeks attempt to square without success?**
**(a)** Hemisphere. **(b)** Parallelogram. **(c)** Pentagon. **(d)** Circle.

**5. What did Plato use his inspiration from Euclid for?**
**(a)** To construct his theory on the shape of the Universe. **(b)** To create a new theorem of algebra. **(c)** To prove Euclid's number theory was incorrect. **(d)** To classify geometric shapes by their complexity.

## Short Answer Questions

**1.** What were the proofs in Elements based on?

**2.** What did Dunham consider extraordinary about the Elements?

**3.** "Straight lines in the same plane that will never meet if extended forever" is a definition of what?

**4.** Numbers whose divisor add up to itself, was considered which type of number according to Euclid?

**5.** What did the Pythagorean Theorem accomplish for mathematics?

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