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This quiz consists of 5 multiple choice and 5 short answer questions through The Extraordinary Sums of Leonhard Euler.

## Multiple Choice Questions

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

**2. What allowed Cardano to justify publishing his book?**
**(a)** He found Fior's documents which spoke against Tartaglia. **(b)** He was dead, and the book was really published by his student. **(c)** He was punished as a heretic, **(d)** He found del Ferro's orgininal solution to the cubic.

**3. What was the title of Cardano's book which contained the solution to the cubic?**
**(a)** Tarsisia. **(b)** Elements. **(c)** La Magnifica. **(d)** Ars Magna.

**4. Who was Euler's teacher?**
**(a)** Isaac Newton. **(b)** Johann Bernoulli. **(c)** Jakob Bernoulli. **(d)** Gottfried Leibniz.

**5. Numbers whose divisor add up to itself, was considered which type of number according to Euclid?**
**(a)** Even number. **(b)** Perfect number. **(c)** Nominal number. **(d)** Composite number.

## Short Answer Questions

**1.** Which was true of Euclid's number theory?

**2.** Who asked Tartaglia for his solution to cubic equations?

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

**4.** What did Plato use his inspiration from Euclid for?

**5.** What shape was NOT demonstrated in the Elements as having a relationship to other shapes?

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