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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. Who was del Ferro's student?**
**(a)** Luca Pacioli. **(b)** Antonio Fior. **(c)** Niccolo Fontana. **(d)** Gerolamo Cardano.

**2. Which of the following was NOT one of the things Dunham claimed was ingenious about Euclid's proof of the Pythagorean theorem?**
**(a)** Euclid constructed squares on the sides of right triangles. **(b)** Euclid stated that the diagonal hypotenuse of a right triangle is equal to the sums of the squares of the two legs. **(c)** Euclid used his own axioms and propositions to show relationships, **(d)** Euclid used propositions about similar angles and parallel lines.

**3. What range of values did Archimedes determine for pi?**
**(a)** Between 3 and 4. **(b)** Between 3 and 3 1/2. **(c)** Between 3 1/2 and 3 5/8. **(d)** Between 3 10/11 and 3 1/7.

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

**5. Which of the following was one of Gauss' early discoveries?**
**(a)** A method to simplify Newton's calulus. **(b)** A demonstration of the sum of the series 1 + 1/2³ + 1/3³ + 1/4³ . . . 1/k³ . . **(c)** A proof that the Pythagorean Theorem was correct. **(d)** A way to construct a regular 17-sided polygon.

## Short Answer Questions

**1.** Which word best describes Newton's childhood?

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

**3.** What was most noticeable about Euler at a young age?

**4.** Heron's work referred to the work of what other famous scholar?

**5.** What did Gauss construct?

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