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This quiz consists of 5 multiple choice and 5 short answer questions through A Sampler of Euler's Number Theory.

## Multiple Choice Questions

**1. What is a "depressed cubic"?**
**(a)** A method to simpify the x squared value in a cubic equation. **(b)** A method to simplify measuring complex geometric forms. **(c)** A method to logically square all the factors in a cubic equation. **(d)** A method to solve equations with two variables.

**2. To how many decimal places did Newton determine the number for pi?**
**(a)** Nine places. **(b)** Three places. **(c)** Twelve places. **(d)** Eight places.

**3. What is the name for determining the area of an enclosed space by constructing a square of equivalent area?**
**(a)** Cubation. **(b)** Triangulation. **(c)** Square root. **(d)** Quadrature.

**4. What series was Euler most famous for?**
**(a)** 1 + 1/4 + 1/9 + 1/16 . . . + 1/k² . . . **(b)** 1 + 1/2 + 3/4 + 4/5 . . . **(c)** 1 + 1/2³ + 1/3³ + 1/4³ . . . 1/k³ . . . **(d)** 1 + 1/2 + 1/6 + 1/10 + 1/15 . . .

**5. "Straight lines in the same plane that will never meet if extended forever" is a definition of what?**
**(a)** Circle. **(b)** Parallel lines. **(c)** Intersection. **(d)** 180 degree angle.

## Short Answer Questions

**1.** Which of the following best describes Cardano's character?

**2.** What were the main technique(s) that Euler used to find the sum of the series?

**3.** What did Gauss do with his best work?

**4.** Which of the following was NOT true about Archimedes, according to Dunham?

**5.** What did Gauss construct?

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