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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. Who's method did Tartaglia's challenger use in the contest to solve cubic equations?**
**(a)** Fontana's method. **(b)** del Ferro's method. **(c)** Pacioli's method. **(d)** Cardano's method.

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

**3. Who was Neil's Abel?**
**(a)** He demonstrated the modern version of the Pythagorean Theorem. **(b)** He demonstrated that Cardano's solution to the cubic was incorrect, **(c)** He proved that quintic equations cannot be solved using algebra. **(d)** He proved that to solve a quartic equation, one must use more than algebra.

**4. In what time period did mathematicians find a solution to cubic equations?**
**(a)** Thirteenth century. **(b)** Seventeeth century. **(c)** Twentieth century. **(d)** Fifteen century.

**5. Which of the following is false about the modern implications of Euclid's number theory?**
**(a)** Euclid gave a good idea for how to construct even perfect numbers. **(b)** Whether there are no odd perfect numbers is still not known. **(c)** Great mathematicians continue to puzzle over some aspects of Euclid's number theory. **(d)** Euclid's recipe for constructing even perfect numbers is incorrect.

## Short Answer Questions

**1.** Which of the following were an example of twin primes?

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

**3.** What was Euclid's definition of a prime number?

**4.** What name did Euclid give for numbers that could be divided by numbers other than themselves and one?

**5.** What is the sum of the series 1 + 1/2³ + 1/3³ + 1/4³ ... 1/k³ . . .?

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