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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. In general, what did Euclid's number theory describe?**
**(a)** The nature of measuring geometry. **(b)** The relationship of decimals to integers. **(c)** The relationship of fractions to decimals. **(d)** The nature of whole numbers.

**2. What was the bases of Hippocrates's proof ?**
**(a)** Properties of points and lines. **(b)** Properties of squares and cubes. **(c)** Properties of triangles and semicircles. **(d)** Properties of area to volume measurements.

**3. What is true about prime numbers?**
**(a)** Prime numbers can never be an odd number. **(b)** Prime numbers are not divisible by other numbers. **(c)** Prime numbers can not exist in a finite series. **(d)** That for every group of prime numbers, there exists at least one more prime.

**4. Which was true of Euclid's number theory?**
**(a)** It has been proven too basic to be useful. **(b)** It was incorrect, as proved by Plato. **(c)** It has an impact on modern math. **(d)** It was proven to the true by Hippocrates.

**5. In Elements, how many postulates must be accepted as given?**
**(a)** Twelve, **(b)** Five. **(c)** Twenty-two. **(d)** Eighteen.

## Short Answer Questions

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

**2.** After Hippocrates, what shape did the Greeks attempt to square without success?

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

**4.** Who was the author of the book Elements?

**5.** Where did Hippocrates come from?

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